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Q: detailed computation in determining the height of the cabin or part of the Ferris wheel at a given…

A: We are given a ferris wheel with the following informational : diameter : 64 m No of cabins : 32…

Q: e the formula k(t) = F(t) × r"(t)|| to find k(t) r(t) = t’i+ t°j

A:

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

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: Please

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Q: dz Find given: dt z = ze", z = t°, y = 1+ 4t dz dt Your answer should only involve the variable t

A:

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: S V9x² + 64

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Q: S-2 ds (s-1)(s-5)(s+3)

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Q: Find the differential dy: y = sin(av). dy = " cos (av) [2v + a+i In a (1 + Ina p + x!+ In ¤ (1+ ln…

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

A: Given: ∫2r+1r2+2r+1dr

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

A:

Q: Evaluate the definite integral. i+e'j+t k )dt ell (e-l – 1) + (ell – 1) i – (e-1 – 1) j +, k 11 ell…

A: Given: I=∫01e11t i+e-t j+t kdt   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.…

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Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: The volume of the hemisphere is: V=23πr3dV=2πr2dr

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

A: We will find the curl.

Q: (tan x) dx

A: Given query is to find the integral.

Q: 4 of 21 Which of the following is not an identity? I. tan z + cot z = sec z csc z II. cos? z = sin…

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Q: Find r'(t). r(t) = (tan '(7t))i+t cos(t)j – /tk NOTE: Enter your answer in terms of i, j, and k.…

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Q: Find a basis for the eigerspaca conesponding to the eigenvalue 12. 17 141 12 A basis for the…

A: We want to find the basis.

Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

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Q: S csc° 3x dx

A: This question is related to indefinite integration, we will we will solve it using given…

Q: Find div F and curl F if F(x, y, z) = 17y*z*i – 3x'2ºj – 3ry®k. div F= curl F=

A: Let's find.

Q: Use the formula r(t) = |r(t) × r"(t)|l| ||r(t)||³ to find k(t). %3D r(t) = t’i + t3j K(t)

A: r(t)=t^2i+t^(13)j r'(t)=d(t^2i+t^(13)j)dt=2ti+13t^12j r''(t)=d(r'(t))dt=2(1)i+13×(12t^11)j…

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

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Q: Find div F and curl F if F(x, Y, z) = 11y°z°i – 3x*z°j – 6xy°k. - div F= curl F=

A: The given vector function is: F(x,y,z)=11y6z5i-3x4z6j-6xy3k Let, F(x,y,z)=F1i+F2j+F3k then…

Q: your

A: Please refer to the image below

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x² such that f(0)…

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Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

Q: 4–9x² -dx

A:

Q: Apply different integration techniques in solving the integrals. - Properly carry out integration…

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Q: - sin² ydy 6. 4 tan" y

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

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: QIN Evaulate : f v2 + cos4t sin4t dt

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

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Q: Find curl (8z i + 9x j+ 10y k). curl (8z i + 9x j+ 10y k) (i )i + ( i j + ( )k

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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: X+3 24) Find the integration by using: J: dx 2x3-8X

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Q: A Find the area bounded by the curves, the axis and the given values of x. Sketch the graph. 1.…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 2- A radio station conducts a poll about gun control. It invites listeners to call one phone number…

A:

Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 3. x-…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||³ r(t) = t’i+ t°j K(t) :

A: We have to find the value of k(t)

Q: Find div F and curl F if F(x,y, z) = 9e*Y i – 8 cos yj+ 4 sin? z k. %3D div F= curl F=

A: F(x,y,z)=9e^(xy)i-8cosyj+4sin^2zk ∇F=∂F(x,y,z)∂xi+∂F(x,y,z)∂yj+∂F(x,y,z)∂zk…

Q: Find div F and curl F if F(r, y, z) = xz°i+ 2y°x²j+ 6z²yk div F= 2° + 16 y' x + 12 z Y curl F=

A: Given F(x,y,z)=xz6i+2y8x2j+6z2ykTo find div F & curl F:

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

A: Given problem:-

Q: Determine whether the following equation is separable. If so, solve the given initial value problem.…

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Q: t3 – 7t2 + 16t –- 12 t4 – 4t3 + 4t² 5. lim t2 w? – 4w + 1 6. lim w-00 3w2 + 7w – 4

A: limt→2t3-7t2+16t-12t4-4t3+4t2

Q: find the first partial derivatives of the given function. complete solution z= 3x2y - y3 + 4x - 7

A: