5x2+11x+2 dx x(x+1)²

Q: arcsin = ab' a? - Va? - y?; Find y!. Oy = 2abr(x+b) Va-y 1-y 2ab r Va- 1-y 2ab r/a-y H. 1-2ab z a- «…

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Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: sec" /x dx 17. 2 5n Ans. 6

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Q: ||r'(t) x r"(t)|| Use the formula k(t) to find k(t). ||r(t)|* 13 r(t) = t’i + t°j K(t) =

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Q: Find div F and curl F if F(x,y, z) = x2°i+ 4y°x²j+ 2z²yk. div F=|2° + 12 y? x² + 4 z y curl F= 2 z2…

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Q: Find div F and curl F if F(x, y, z) = 13y'2*i – 11x°z®j – 7xy°k. %3D div F= 0 curl F=|(-35 z y³ + 99…

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Q: 3. Evaluate (D +x)(D–x). Note: D=- (denotes derivative with respect to x). A) D²-x² B) D² -x² - 1 C)…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: Solve y" – 2y = x²

A: We have to find the solution of the given differential equation.

Q: ind V × (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F) = ||

A: Topic:- application of derivatives

Q: Find div F and curl F if F(x,y, z) = x°i – 11j + yzk. - div F= curl F=

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Q: メーャゴ+2x)dメ+でyalyo

A: answer is in next step .please give a like

Q: 1 Find the area onclosed by the Curve r=4-3 sin 0.

A: Area

Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). 13 r(t) = 3 cos(3t)i+3 sin(3t)j + tk…

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Q: The depth of the water in a cylindrical tank 4 m in diameter is increasing at the rate of 0.7 m /…

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Q: 3. Differentiate. SET A. y = 3 cos(5x2 + 2)

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Q: Is the solution region bounded or unbounded?

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 4y°x²j+ 22²yk. %3D div F=|2 + 12 y² x² + 4 z y curl F=|2…

A: Find div F and curl F

Q: ind [r(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = ti + 5t2j + t³k, u(t) = tk (a)…

A: Solving

Q: Find the series' radius of convergence. n! Σ 5-10 - 15...- -5n n= 1

A: We have to find the radius of convergence.

Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

Q: e2x 2.) S. dx ex – 5

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ellti+etj K(t) ||

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Q: Suppose the revenue function for a product is given by the function: : R(g) = - 8g° + 4g where q is…

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Q: 13. Compute the Laplace Transform of f(t) = t°e" +e* sin3t. 4 1 A) (s+ 2)'s² +4s + 13 2 B) (s –…

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Q: Find V. (F x G), if F(x, y, z) = 10ci +j+13yk and G(x, y, z) = xi + yj – zk. V. (F × G) :

A: To solve the following problem

Q: Find div F and curl F if F(r, y, z) = 13y"2°i – 11a2°j – 7xy°k. div F= curl F=

A: We have to find the  divF and curl F

Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…

Q: EXAMPLE 3 Evaluate the following integral. VI- 4.r2 SOLUTION Let u = 1 - 4x². Then du %3D , SO xdx =…

A: We can solve as follows

Q: Which of the following is an antiderivative of f(x) = sin x cos x? %3D (a) sin²x (b) cos² ¤ sin 2x…

A: We can find the answer as below.

Q: Find the divergence of the vector field F. F(x, y) = 4xe*i – 3x?y?j

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Q: y = (sinh(@)) Solve for y'. Express your answer by factoring out a common facto

A: First I have taken the log on both side to the given function and then differentiating it with…

Q: Ir(t) - u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = cos ti + sin tj + tk, u(t) = j + tk…

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Q: Find the conservative vector field for the potential function by finding its gradient. 9 (r,y, 2) =…

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Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = ti + 2t2j + t³k, u(t) =…

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Q: Suppose a product's revenue function is given by R(g) = - 2q? + 400g. Find an expression for the…

A: Given problem:- Suppose a product's revenue function is given by R(q) =- 2q2 + 400q   Find an…

Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to a or y.…

A: As per bartleby guidelines we only give first question answers.

Q: One of the correct steps to evaluate x²lnx dx to yield the correct integral (A x2 – 2 | dx x³Inx В…

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Q: 4x2-3z-2 Given a+1 determine y"

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

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Q: find the volume of an ellipsoid having the equation x^2/25 + y^2/16 + z^2/4 = 1

A: Let's find.

Q: Suppose a product's revenue function is given by R(g): is units sold. Also, it's cost function is…

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Q: Find the formula for the Riemann sum obtained by dividing the interval [– 1, 0] into n equal…

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Q: Represent the plane curve by a vector-valued function. x2 + y2 = 36 r(t)

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Q: Describe the graph of the equation. r = (5 – 31) i – 1ltj O Itis a line in 2-space that goes through…

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