2r³ – 4x² – x – 3 dr x² – 2x – 3

Q: x² – 2 (x + 2)(x + 1)²

A: Partial fraction

Q: 1. Solve the differential equation: xy' – y = 2x In x

A: Use linear differential equation concept

Q: Use the Divergence Theorem to calculate the flux of F across S, where F=zi+yj+zxk and S is the…

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Q: cos 6x cos 2x dx

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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: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

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Q: For the given function find dy/dx. = x +2

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Q: Current Attempt in Progress Use Green's Theorem to evaluate the integral. Assume that the curve Cis…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: e2x 2.) S. dx ex – 5

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Q: . Find all relat/ve extremo and saddle points of the runcton. Use econd Partials Test where appliı…

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Q: Use Green's Theorem to evaluate the line integral |(y - x)dx + (2x – y)dy for the given path. C: x =…

A: Let's find.

Q: Consider f(x) = (5x + 11)2022, find: i. f'(x) ii. f"(x) iii. f''(x) iv. fiv (x) v. f°(x)

A: Given, f(x)=5x+112022

Q: Find the first three non-zero terms of the Maclaurin expansion of the function. f(x) = 3 cos 2xx…

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Q: Find the value of dy/dx at (1,0) of 2re" – In() = 4y² + 2a sin

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Q: Find the limit (if it exists). (If an answer does not exis lim t- 0 e4i sin(9t). + e-6°k 9t

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Q: 2. Given the DE as (x² + y² – 3)dx – 2xydy = 0 a) Prove if the given DE is exact or non-exact b)…

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Q: Question 10 sinh a For y= V find y' at x = In2 e* Oy = 0 Oy = 12 Oy = 2/6 Oy =

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Q: Find the sum of the infinite geometric series with first term 6 and common ratio 8 S (Round to two…

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

A: We need to find conservative vector field.

Q: Refer to the given below. Find the indefinite integral. Simplify your final answers (Just like how…

A: i)∫(2x3+12x2-5)dx=∫2x3dx+∫12x2dx-∫5dx                                   =2∫x3dx+12∫x2dx-5∫dx…

Q: x³dx Using trigonometric substitution, is equivalent to x²-4 8 / sec*o do A B 6 tan'o seco do © •Smo…

A: The given integral is: I=∫x3dxx2-4

Q: cos²(x) + 2cos²G) . cos³(x) - .dx

A: We have to find the integral.

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

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Q: Find div F and curl F if F(x, y, z) = 13y z'i – 13x°2°j - 4xy°k. div F= %3D curl F-

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Q: Find sin 0. 4 e in quadrant IV cot 0 = sin 0 = (Simplify your answer, including any radicals. Use…

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Q: Solve

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Q: xp-

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Q: -2 2. S- dx x(x-1)

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Q: Vx² -9 What trigonometric substitution should be used to evaluate ? x2 A x=3 sece В x=3 tane C) None…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: 3. Find y" y = vx² – 4 -

A: Given query is to find the derivative of the expression.

Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: Differentiate the following function y = e log(4") You may use Insert -> Equation to help you input…

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Q: [x+1

A: The objective of the question is evaluate the indefinite integral.     Note -  As per our guidelines…

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

A: Let's find.

Q: When the eigenvalues of a b A = 0 d are 2, = 0 and 2, = 2, what are the possible values of a and d?…

A: When the eigen values of A=ab0dare λ1=0, and λ2=2, then to determine the possible values of a and d.…

Q: 11 ti + dt

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

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Q: af(x, y) If f(x, y, z) = , then is equal to dz (y – 2)² (y – 2)? O 1 2z – x – y (y – z)?

A: Given problem:-

Q: 2 | (sin³x cos x + sinxcosx)dx 7/2 π

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Q: Find r(t) · u(t). r(t) = (7t – 4)i + j + 4k u(t) = t?i – 8j + t?k r(t) · u(t) = Is the result a…

A: Use dot product concept

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: Write down the first four terms of the sequence given by x, = 3" + 2", starting from n= 0. X1 = X2 =…

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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: tanode B В sec®

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Describe the graph of the equation. (5 – 21) i + 8tj r = It is a plane in 2-space through the point…

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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: Find the third derivative [f"(x)] of the given function: f(x) = 8 sin() %3D

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