Find the indefinite integral. (Use C for the constant of integration.) cos(0) do 1

Q: S tan -1x dx

A: Solution is done in step 2

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

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Q: x-6x-4 dx x+2

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Q: Find the curvature and the radius of curvature at the stated poin r(t) = 11 cos(t)i + 10…

A: Here we have r→(t)=11cost i +10sint j +10t k  at=π2 The formula for curvature is…

Q: Evaluate the defınite integral. 8 i + e¯´j+tk)dt 0, – (e-1 – 1) j+ k i-e'j+;k 8 (e* – 1) i – (e- –…

A: The given integral is: I=∫01e8ti+e-tj+tkdt   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The…

Q: dy Given a first order differential equation dx Зx* у + tan y x' +xsec' y Q3

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Q: 33) Find the ared ef the Suriface formed by revolving f10) =10 Coso tue cirele r= about tue line Q=…

A: We have to find the surface area.

Q: Determine if the given series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: f is just that e*-sin(x + y) + cos(x +y)] and = -e* sin(x + y) which if the ollowing is true Select…

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Q: Use the Taylor series for f(x) = Vx, centered at a = 16, to approximate the numerical value of v17.…

A: This question can be solved using the concept of Taylor series centered at a.

Q: Find r'(t). r(t) = (tan(6t))i+t cos(t)j – VEk NOTE: Enter your answer in terms of i, j, and k. r'(t)

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Q: S etanx sec²x dx

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Q: (-2,0,5) and (–1,2, 3). Find an equation of the sphere whose endpoints of a diameter are

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Q: Find the coordinates at times t = 0, 5, 10 of a particle following the path a = 9+ 5t, y = 2 – 7t3.…

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Q: In(æ) -de (2)/ 1

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Q: Find r'(t). r(t) = (tan(10t))i+t cos(t)j – VEk NOTE: Enter your answer in terms of i, j, and k.…

A: Given problem :- r(t) =(tan-1(10t)) i+t cos(t) j-√tk Find:- r'(t)

Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given problem:- r(t)=cos(πt)i-ln(t)j+√(t-6)k ,t0 =7 find domain of r(t)and r(7)

Q: Calculate the limit of the following recursive sequence ao = 1 an+1 = V1+ an Hint: Prove that an is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the curvature and the radius of curvature at the point t = 0. e' cos(t), y = e' sin(t), = 3e* x…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find curl (7z i + 8xj+2y k). curi (7z i+ &x j+ 2y k) = (1 i+( j +( )k

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Q: e2 º In(2) dzr

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Q: Find the Yalue + Cas

A: Using inverse trigonometric formula achieve this expression

Q: Given the equation z + 10z°y – 8y² + z* = 4 az Use implicit differentiation to find dz

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Q: The arc y = x² from (0,0) to (2, 4) is rotated about the y-axis. Find the area of the resulting…

A: We want to find surface area

Q: a b c Given det d e f = 5, find the following determinants. h i a b det d. e f -3g -3h -3i a b det…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Find div F and curl F if F(x, y, z) = 13y°2°i – 13x³z1°j – 5xy'k. ,5 „10; 6 „6: - div F= curl F=

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Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

Q: 3) use implict differentiation to finol dd et the point (8.1). 4 xy+ slny=32 Anywery: 28 a) 37 り 36…

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Q: 8. Evaluate the double integral ry=2x L3) dydz. x=1

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Q: Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y' (0) = 3. %3D (a) Use the Laplace…

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Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: A farmer finds that if she plants 90 trees per acre, each tree will yield 30 bushels of fruit. She…

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Q: Find r'(t). r(t) = (tan-'(11t))i+t cos(t)j – Vfk NOTE: Enter your answer in terms of i, j, and k.…

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Q: The area of the region is. (Type an exact answer, using x as needed.)

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Q: 3 (a) | (7)dx (c) dx (sin x + 1)dx (b) L (x° + 2x + 1)dx (d) 0,

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Q: Determine the vector field of F. F(1, y) = 9i – 3j

A: kindly attached following graph.

Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

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Q: Problem 3. at a speed of 60 cm/s. Suppose the function g models the radius as a function of time t…

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Q: 1. Let -1 -5] 3 -7 3 -6 -3 A = B= 6. 5 -3 -2 4 2 | -3 Determine which (if any) of the following…

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Q: Solve the equation on the interval 0s0<2x. 50 = 2 sec 50 What are the solutions to sec T=2 in the…

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Q: Find r'(t). r(t) = (tan-(11t))i+t cos(t)j – Vik

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Q: Find the tangent plane to the equation z 5z° + 4y – y at the point (4, 2, – 66)

A: Given: z=-5x2+4y2-y      4,2,-66

Q: Use series to evaluate the limit. 4 3 sin(2x) – 2x + lim 4/3

A: Given problem:-

Q: fsin 3xcos3xdx 19.

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question...…

Q: Find V (V x F), if F(x, y, z) = 6ei+ 9xe'j - 5e k. V. (V x F) = %3D

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Q: Find the second order Taylor expansion of [15] f(x,y) = (1 +4x2 +y2)1/2 about the point (1,2) and…

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Q: Describe the graph of the equation. r = 14 sin 17t i – 14 cos 17t j O It is a circle of radius 14 in…

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