y=\pm 2x\sqrt{1-\frac{x^2}{a^2}} He lowers the bait 19 more feet, then reels it back in 7 f … eet. Here You Go! Thank. 3+4x 2. Sara must spend less than 45.00. 1 Answers. Two numbers r and s sum up to -6 exactly when the average of the two numbers is \frac{1}{2}*-6 = -3. &=\frac{2a^4}{3}\int_{v=2}^{v=6} \left(1-\left(\frac{v-4}{2}\right)^2\right)v^{3/2} \frac{v-4}{2}\,\frac12dv\\ The mean age of the 6 people is now 23. #color(blue)(4x^2-8x+1=0# This is a Quadratic equation (in form #ax^2+bx+c=0#). Type in any integral to get the solution, steps and graph South Dakota AG reported hitting deer, but he hit man ^3√4x^2.3^√8x^7 2x^3.^3√4 ^3√32x^9 2x^3.^3√4x^9 none of … If possible, simplify your answer. Sara is serving wings and burgers at her party. Find the product of {eq}-4x^2 {/eq} and {eq}x^3 + 2x^2 - 5x + 3 {/eq}. Assume y > 0 In calculus, trigonometric substitution is a technique for evaluating integrals.Moreover, one may use the trigonometric identities to simplify certain integrals containing radical expressions. How do you root a device with Magisk when it doesn't have a custom recovery, Semi-plausible reason why only NERF weaponry will kill invading aliens, Return control after command ends in Ubuntu. &=\oint_C -\frac{2}{3}\left(4x^2+xy\right)^{3/2}\,dx\\ Free simplify calculator - simplify algebraic expressions step-by-step Search. \end{align}. Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. Answers Mine. Scrutiny of Postmaster General DeJoy intensifies . Ask your question Login with google. A. \end{align}, a is any real number and t\in [-\pi/2,\pi/2] . I am a quadrilateral that always has 4 congruent sides. Older space movie with a half-rotten cyborg prostitute in a vending machine? Solve your math problems using our free math solver with step-by-step solutions. The derivative calculator allows steps by steps calculation of the … &\iint_Dx\sqrt{4x^2+xy}\,dy\,dx\\ The formula is m=4a +2c, where c= number of children; m= number of meatballs; a= number of adults. MathJax reference. So 3 =2.1(5.3) a. \end{align} We can rewrite the denominator using a property of exponentials that states a^(m/n)=root(n)(a^m): f(x)=x/(7-3x)^(1/2) Also, another law of exponentials states that a^-n=1/a^n. What is the simplified for of the following expression? Homework Equations Integration with variable substitution. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. If g(x) = x3 - 5 and h(x) = 2x - 2, then h(g(-2))= ? Submit your answer . For example, to calculate online an antiderivative of the following function sin(2x+1) you must enter antiderivative_calculator(sin(2x+1);x), to get the following result -cos(2*x+1)/2. Ahora procedemos a hacer los cálculos para la integral, primero vamos a calcular $$\int_{- 2x\sqrt{1-\frac{x^2}{a^2}}}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy$$ Integration by parts. √ 1 81 = 1/9 14. Answer to: Evaluate the integral.L(x,y)=-\frac{2}{3}\left(4x^2+xy\right)^{3/2}$,$\frac{\partial L}{\partial y}=-x\sqrt{4x^2+xy}, \begin{align} Visit Stack Exchange. y=aSin(2t) My attempt is the following. The answer turned out to be 2pi units. If z is a function of y and y is a function of x, then the derivative of z with respect to x can be written \frac{dz}{dx} = \frac{dz}{dy}\frac{dy}{dx}. TutorsOnSpot.com. &=-\frac{2}{3}\int_{t=-\pi/2}^{t=\pi/2} \left(4a^2\cos^2t+a^2\cos t\sin 2t\right)^{3/2} \cdot -a\sin t\,dt\\ What is the simplest form of the expression? … We can rewrite the denominator using a property of exponentials that states a^(m/n)=root(n)(a^m): f(x)=x/(7-3x)^(1/2) Also, another law of exponentials states that a^-n=1/a^n. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 6 answers If the area of a rectangular yard is 140 square feet and its length is 20 feet. Examples of Imaginary Numbers We can use the product rule with the form;. Which statement about the product is true? 2. Asked By adminstaff @ 20/11/2019 02:17 PM. The following table is intended to help you tell the difference between what is a polynomial and what is not. Now you can multiply this out to simple powers of v to integrate. y^2=4x^2(1-\frac{x^2}{a^2}) In mathematics, trigonometric substitution is the substitution of trigonometric functions for other expressions. Asking for help, clarification, or responding to other answers. Carlie is cutting pieces of string that are exactly 24 and 3/8 inches long. What is (g ° f)(2) for f(x) = 10 /x - 1 and g(x) = 7x – 4? Sandy is upgrading her internet service.fast internet charges 60 for installation and 50.45 per month. Ahora,notemos que como |y|<2x\sqrt{1-\frac{x^2}{a^2}}, esto implica que la región es simétrica, por tanto podemos calcular2*\int_{0}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy $$ahora,podemos calcular respecto de y una primitiva por ser f continua, en D, así que haciendo un simple cambio de variable u=4x^2+xy tenemos que du=xdy, por tanto podemos calcular la antiderivada, por tanto$$4/3 \int_{0}^{a} (4x^2+xy)^{(3/2)}|_{0}^{2x\sqrt{1-\frac{x^2}{a^2}}}$$y valuando en los límites de integración tenemos el siguiente resultado:$$4/3 \int_{0}^{a}(4x^2+2x^2\sqrt{1-\frac{x^2}{a^2}})^{3/2}-8x^3$$.\ To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Former Ravens RB Lorenzo Taliaferro dies at 28. Thus: D = sqrt((Deltax)^2 + (Deltay)^2) = sqrt((Deltax)^2 + (Deltay)^2/(Deltax)^2*(Deltax)^2) = sqrt(1 + (Deltay)^2/(Deltax)^2)Deltax Make it a sum, and you've got … A square root asks you which number, when multiplied by itself, gives the result after the √ symbol. y^2=4Sin^2(t)(x^2) &=\frac{a^4}{24}\int_{v=2}^{v=6} \left(4-(v-4)^2\right)v^{3/2} (v-4)\,dv\\ &=\frac{2a^4}{3}\int_{t=-\pi/2}^{t=\pi/2} \cos^3t\cdot\left(4+2\sin t\right)^{3/2} \cdot \sin t\,dt&u=\sin t\\ Why didn't NASA simulate the conditions leading to the 1202 alarm during Apollo 11? So the following is let x=a\cos(t) and integrate respect t, so I say now that t\in [-\pi/2,\pi/2] . y^2=4Sin^2(t)(x^2) Estimating higher n th roots, even if using a calculator for intermediary steps, is significantly more tedious. 54π cubic feet B. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. ,$$\int_{0}^{a} \int_{- 2x\sqrt{1-\frac{x^2}{a^2}}}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy dx$$,$$ \int_{- 2x\sqrt{1-\frac{x^2}{a^2}}}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy $$,$$2*\int_{0}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy $$,$$4/3 \int_{0}^{a} (4x^2+xy)^{(3/2)}|_{0}^{2x\sqrt{1-\frac{x^2}{a^2}}}$$,$$4/3 \int_{0}^{a}(4x^2+2x^2\sqrt{1-\frac{x^2}{a^2}})^{3/2}-8x^3$$,$$\int_{0}^{a}(4x^2+2x^2\sqrt{1-\frac{x^2}{a^2}})^{3/2}$$,$$2\sqrt{2}\int_{\pi/2}^{0} (a^3cos^3(t)(2+sin(t))(2+sin(t)){(1/2})(-asin(t)dt$$,$$-2\sqrt{2}a^4\int_{\pi/2}^{0}cos^2(t)sin(t)(2+sin(t))^{3/2}cos(t)dt$$,$$2\sqrt{2}a^4\int_{0}^{\pi/2}cos^2(t)sin(t)(2+sin(t))^{3/2}cos(t)dt$$,$$2\sqrt{2}a^4\int_{2}^{3}(1-(l-2)^2)(l-2)(l^{3/2})dl$$,$$2\sqrt{2}a^4\int_{2}^{3} 6l^{3/2}-11l^{5/2}+6l^{7/2}-l^{9/2} dl$$,$$2\sqrt{2}a^4[\frac{216}{385}\sqrt{3}+\frac{32}{1155} \sqrt{2}]$$,$$2\sqrt{2}a^4[\frac{8}{1155}(4\sqrt{2}+81 \sqrt{3})]$$,$$[\frac{16\sqrt{2}a^4}{1155}(4\sqrt{2}+81 \sqrt{3})]$$,$$\int_{0}^{a} \int_{- 2x\sqrt{1-\frac{x^2}{a^2}}}^{2x\sqrt{1-\frac{x^2}{a^2}}}x \sqrt{4x^2+xy} dy dx= \frac{4}{3}a^4([\frac{16\sqrt{2}}{1155}(4\sqrt{2}+81 \sqrt{3})]-2)$$, Calculating \iint_{D} x \sqrt{4x^2 +xy}\, dy\,dx. I can be either a ________ or a ________. Solve your math problems using our free math solver with step-by-step solutions. Related Questions in Mathematics. y=\pm 2x\sqrt{1-\frac{x^2}{a^2}} What's this part on the wing of BAE Systems Avro 146-RJ100? (This can also be seen in the attached TheProblem.png file.) Evaluate the integral from -2 to 8 of f(x)dx. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Answer to: For each of the following, use the product rule to find the derivative, f prime (x). To learn more, see our tips on writing great answers. The graph of $x^2+(y-\sqrt[3]{x^2})^2=1$ is very interesting and is show below using desmos. So \sqrt{x+5}=x^2-5 Now square both sides and write x+5=x^4-10x^2+25 ... To solve a radical equation, begin by isolating the radical so that when you square the … It only takes a minute to sign up. Let #color(blue)(v = sqrt(4-x)#$$4x^2 +xy \geq 4x^2+x|y|=2x^2 (2-\sqrt{1-(x/a)^2 })>0 $$therefore 4x^2 +xy is continue in D and we can integrate it. I am a quadrilateral with 4 right angles and opposite sides that are congruent. &=-\frac{2}{3}\int_{t=-\pi/2}^{t=\pi/2} \left(4a^2\cos^2t+a^2\cos t\sin 2t\right)^{3/2} \cdot -a\sin t\,dt\\ The value 13.5 represents the _____ of the graph of the following linear regression equation. But in electronics they use j (because "i" already means current, and the next letter after i is j). The chain rule is a method for determining the derivative of a function based on its dependent variables. I am trying to find the MacLaurin 6th degree polynomial for the function f(x) = \frac{1}{\sqrt{4x^2 + 1}}.. My first idea was to derive the series expansion of \frac{1}{2} \operatorname{arsinh}(2x), but that seems too complicated.The next idea was the binomial series. #g'(x) = u'v + v'u# Where we let one term equal to #u# and the other equal to #v#. 1 Answers. cm2. Solve your math problems using our free math solver with step-by-step solutions. ^3√24a^10b^6 3a^3b^2^3√2a 2a^3b^3√2a 2a^3b^2^3√3a none of these 3. Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. If z is a function of y and y is a function of x, then the derivative of z with respect to x can be written \frac{dz}{dx} = \frac{dz}{dy}\frac{dy}{dx}. &=\frac{2a^4}{3}\int_{u=-1}^{u=1} \left(1-u^2\right)\left(4+2u\right)^{3/2} u\,du&v=4+2u\\ Does the destination port change during TCP three-way handshake? Factor 1 5 = 5 × 3 . Click here to get an answer to your question ️ What is the following product? Mathematics. Free factor calculator - Factor quadratic equations step-by-step How do I backup my Mac without a different storage device or computer? If x represents the number of wing servings and y represents the number of burgers, which system of inequalities could be used to determine how many of each kind of food Sara can serve? 4 01 8 The following are the ages (years) of 5 people in a room: 22, 21, 23, 24, 17 A person enters the room. find the value of r so the line passes that through (-5,2) and (3,r) has a slope of -1/2? what is the probability that you and your 2 friends will win the tickets? Can you take the square root of −1? 12. 2x(x − 1) C. 2(x − 1) D. 2(x2 − 1). Crew quit 'Mission: Impossible' after Cruise's rant. 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. I am a quadrilateral with exactly one pair of parallel sides. &=\oint_C(L\,dx+M\,dy)\\ Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. It is a region D like a area of Lissajous curve. &\iint_Dx\sqrt{4x^2+xy}\,dy\,dx\\ she can buy a 40-yard spool for 15.60 or a 60 yard spool for 19.20. which is the better buy? If I understand right, a is a fixed parameter. Order an Essay Check Prices. Calculating n th roots can be done using a similar method, with modifications to deal with n.While computing square roots entirely by hand is tedious. & \int_{-2x \sqrt{1-(x/a)^2 } }^{ 2x \sqrt{1-(x/a)^2 } } x \sqrt{4x^2 +xy}\,dy\\ The product is irrational b. Find the required measurements of the following trapezoids. How much gas can the pressure vessel hold when full? formidable question: a quadratic equation has equivalent roots whilst discriminant is 0. … What is … y = 5.2 + 13.5 A. F.O.I.L What is the middle term of the product of (x - 4)(x - 3)? rev 2020.12.18.38240, The best answers are voted up and rise to the top, Mathematics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us,$$\iint_{D} x \sqrt{4x^2 +xy}\, dy\,dx $$, D=\lbrace x=a\cos(t),\;y=a\sin(2t)\rbrace, x \geq 0,$$4x^2 +xy \geq 4x^2+x|y|=2x^2 (2-\sqrt{1-(x/a)^2 })>0 $$,$$\begin{align} ^4√11.^4√10 11 ^4√10 11 10 ^4√110 2. Thanks for contributing an answer to Mathematics Stack Exchange! Integral of (dx)/(x^5 sqrt(4x^2 - 1)) from (srqt(2))/2 to 1. Lamar sells another broker's800,000 listing for $785,000 at a commission rate of 6.5%. In mathematics the symbol for √(−1) is i for imaginary. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. 2x − 1 B. The product rule is used primarily when the function for which one desires the derivative is blatantly the product of two functions, or when the function would be more easily differentiated if looked at as the product of two functions. Since$t\in[-\pi/2,\pi/2 ] $, so now we have that any point$y \in D$, $$|y|<2x \sqrt{1-(x/a)^2 }$$ and too assume x> 0. Safe Navigation Operator (?.) How many pieces can she cut from a ball of string that has 100 feet. PLEASE HELP! Find the following product ^5 square root 4x^2* ^5 square root 4x^2? Enter your answer as a mixed number in simplest terms. 1. y^2=4a^2Sin^{2}(t)Cos^{2}(t) Yahoo Products; Trending News. LOGIN TO VIEW ANSWER. & \int_{-2x \sqrt{1-(x/a)^2 } }^{ 2x \sqrt{1-(x/a)^2 } } x \sqrt{4x^2 +xy}\,dy\\ Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … What is Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.$\begin{align} So √9 = 3 and √16 = 4. Lamar has a 40% commission split with his broker. Every root technically has a positive and a negative answer, but in most cases the positive answer is the one you’ll be interested in. Making statements based on opinion; back them up with references or personal experience. &=\oint_C -\frac{2}{3}\left(4x^2+xy\right)^{3/2}\,dx\\ What is the limit of #(sqrt(x^2+4x+1)-x) # as x goes to infinity? On nights two and three attendants was 200 and 259 respectively. 81π cubic feet C. 108π cubic feet D. 324π cubic feet. assume x> 0. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Multiply and simplify if possible. Como l regiónD$está dada por una curva paramétrica, entonces vamos a eliminar el parámetro$t$, consideremos Correct answer to the question What is the following simplified product? The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. A random drawing will determine which 3 people in a group of 9 will win concert tickets. Residual B. Slope C. y-intercept Asked By adminstaff @ 25/12/2019 08:24 AM Mathematics Usando que$x=aCos(t)$tenemos que$\frac{x}{a}=Cos(t)\$ por tanto Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare. (sqrt 6x^2+4 sqrt 8x^3)(sqrt 9x-x sqrt 5x^5) - edu-answer.com ^3 sqrt 5 x sqrt 2. To which subset of real numbers does the following number belong? Solve your math problems using our free math solver with step-by-step solutions. #u# would have to be differentiated by multiplying the term by the initial power and decreasing the power by one; #u' = 3 * x^(3-1) # #u' = 3x^2# And we can do the same for #v#;. You're not a Patriot anymore: New coach rips Brady debut. ★★★ Correct answer to the question: What is the following simplified product? b1 = 12 cm b2 = 16 cm h = 9 cm. Use MathJax to format equations. and integer comparisons, Getting different total magnetic moment in 'scf' and 'vc-relax' calculations in Quantum ESPRESSO. &=\iint_D\left(\frac{\partial M}{\partial x}-\frac{\partial L}{\partial y}\right)\,dx\,dy\\ Let f(x)= {sqrt(4-x^2)-5 if -2