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Q: Find V (V x F) if F(x, y, z) = 8 sin xi + 6 cos(2.x - 3y)j + 7zk. %3D | V. (V x F) =

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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 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: Use the formula k(t) = |r(t) × r"(t)|| ||r(t)||° to find «(t). r(t) = 8 cos(7t)i+ 8 sin(7t)j + 3tk…

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Q: Suppose a certain baseball diamond is a square 90 feet on a side. The pitching rubber is located…

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Q: xp - )s ɛ

A: As per the guidelines I can solve only first question

Q: 4. S(9x + 33x +22) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find V x (V x F) if F(x, y, z) = 2:xyj+ 9xyz k. V × (V × F) %|

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Q: Suppose z = f(x, y), where f is differentiable, a = g(t), and y = h(t). If g(3) · fy( – 2, – 6) = –…

A: Find dz/st when t=3

Q: S V9x² + 64

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Q: o} (2xy+y?) dx - 2x² dy = O 2.) xy dx -(x + 2y)? dn

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Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt' the product directly…

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Q: dx sinxtanx

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Q: B. Find the interval of convergence of the power series and find the sum of the series as a…

A: Series convergence

Q: 5. What is the general solution of the following differential equation ( .6³yod?y =0)? ,d*y +9. dx2…

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Q: Find div F and curl F if F(x, y, z) = xz³i+ 4y°x²j+ 6z²yk. div F= curl F =

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Q: xdx 41. 12-х

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: QIN Evaulate : f v2 + cos4t sin4t dt

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Q: Find curl(6z i + 7x j+ 6y k). curl(6z i+ 7x j+ 6y k) = ( i )i + ( i )j +(i )k

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Q: Let g(z) = / ft) dt, where f is the function whose graph is shown below. What is the value of g (8)?…

A: We have to find value of g(8)

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: 4. x(x² – 1)² dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dr2, dri r(t) - r2(t)] = r1(t) - r2(t) and dt dt dt dro dr.

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Q: Find V · (V × F) if F(x, y, z) = 2 sin xi+ 8 cos(4.x – 5y)j + 2zk. %3D - V·(V × F) = %3D

A: Given :F(x,y,z)=2 sin xi+8 cos(4x-5y)j+2zkTo find : ∇·(∇×F)

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

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Q: Colleen's office equipment is depreciating at a rate of 9% per year. She paid $24,500 for it in…

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Q: 1 5. Let f(x, y) = x² 6y3 - In y ), for y > 0. af of f &²ƒ Əx' dy' Əx²' dy²' Determine the partial…

A: Given: fx,y=x216y3-lny   As we know that; The Power law: ddxxn=nxn-1 And ddxlnx=1x

Q: Use the formula k(t): |r'(t) × r"(t)|| to find k(t). r(t) = ti + t°j K(t) =

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

A: This is a problem related to derivative of the function. Based on the general formula and concepts…

Q: Find the domain of r(t) and the value of r(te). NOTE: Reund your anser to two decimal places uhen…

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Q: Show that the function f defined by (x, y) = (1, – 1) f(x, y) = 1² + y (x, y) # (1, –1) I + Y is not…

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Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

A: Please refer to the image below

Q: v F= F=

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Q: d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by…

A: Given that     r1(t) = cos(t)i + sin(t)j + 8tk    r2(t) = 7i + tk

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: 7. Interpretations of Inter a) Determine the position function, s(t), of an object if the…

A: a)

Q: Consider the following. w = xyz, x = s + 5t, y = s – 5t, z = st? (a) Find dw/s and dw/at by using…

A: Using chain rule and converting function in term of s and t are differentiated.

Q: r(t) = 4 cos(7t)i+4sin(7t)j+3tk

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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: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: e- + cos (xy) = (4 – 3z) (2 + 2.x), UIM 4. find ду ÚTM az cos (ху) — (4 — 32) (2- 8 UTM UT UTM

A: Partially Differentiate with respect to y

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F)

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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: Find V. (V x F) if F(x, y, z) = 8 sin zi + 6 cos(2.x – 3y)j + 7zk. V.(V x F) =

A: Vector

Q: (2r+1)ar +2r+1

A: Given: ∫2r+1r2+2r+1dr

Q: d 27. dx ], cos t dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. S(e" + e-3)² dt

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Q: Find f, and fy! and evaluate each at the given point. xy f(x, y) = (7, –7) X - y fy(x, y) %D f,(7,…

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Q: Use the finite difference method to solve the system of equation given by: y'"' + 2y" + y' + y = x²…

A: Given :y'''+2y''+y'+y=x2                                   (i)y(0)=0.2, y(1)=0.8 & y(2)=0.2We…