37. f¿ (15, (157* dz)d2) dy y=z² W= (shaded. volume) 4 x+y+z=4

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A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

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A: A)   Then velocity is  Speed 

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A: We have to evaluate the integral: ∫1sin x cos xdx We know the identity: sin2x+cos2x=1 Substituting t...

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A: Consider the given: x=4.99999…a)Integers have two decimal representatives4.99999…≈5Hence,x=5

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A: Consider the limit limx→∞ln10x10x

Q: Find div F and curl F if F(x, y, z) = 17y°z*i – 8x°z°j – 3xy°k. „6: div F= curl F=

A: Given that: F(x,y,z) = 17y3z4 i  - 8x6z6 j - 3xy3 k To find: Divergence (div) of F Curl of F  

Q: In Exercises 35–38, sketch the graph over [0, 27]. 35. f(0) = 2 sin 40 36. F(Ø) = cos (2 (0 – )) 37....

A: Since you have asked multiple questions in a single request, we will be answering only the first que...

Q: (10,00 Puanlar) Let f(x) = sin 2x. Then find f (999) (x). a) 2099 cos 2x b) – 2099 sin 2x - c) – 200...

A: Given: f(x) = sin(2x) To find: f999(x)

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A: We have to solve  (D2 - 9)y = e4x For complementary function  (D2 - 9)y = 0 The auxiliary equation i...

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A: We can solve by the finding auxiliary equation.

Q: Determine whether the equation 2x + y = 8 defines y as a function of x.

A: Determine whether the equation 2x + y = 8 defines y as a function of x.

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A: Solution: Given ∫x2-3lnx dx

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A: We know if that ,  An improper fraction is a fraction in which the numerator is greater than or equa...

Q: Suppose that az = 0 and Eb = 1. Find the values of k=1 k=1 a. 8a b. 250b; k=1 c. (az + 1) d. (b - 1)...

A: Given                            ∑k=1nak=0 and ∑k=1nbk=1 a) find ∑k=1n8ak                           ...

Q: Factor each expression completely. (с) х — Зх3 — 4х + 12 (1) x'y – 4xy (а) 4х? -25 (b) 2х2 + 5х — 12...

A: "Since you have asked a question with multiple subparts, we will solve the first three subparts for ...

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A: y·etan-1x=2

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A: To simplify a rational expression first we  factor the numerator and denominator completely. Then we...

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A: Write an equation that expresses the relationship, x varies jointly as y and z. Then solve the equat...

Q: Solve the linear equation: 3x/5 - (x - 3)/2 = (x+2)/3

A: the given linear equation is: 3x5-x-32=x+23 we have to solve the given linear equation

Q: ntegrate using trigonometric substitution: dx 25+x2

A: It is in the standard formula  form of integration

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A: i) The given function is fx=1+8x-3x2. Note that, the above polynomial function is real and defined f...

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A: Given, e-x+e-2x+e-3x+e-4x+e-5x+..

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A:

Q: Differentiate the function. (2x- 1)

A: Given:y=12x-15

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A: Graph of r=-4sinθ

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A: An object moves clockwise around a circle centered at the origin with radius 5 m beginning at the po...

Q: In Exercises 39–41, find the distance from the point to the plane

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A: The solid is obtained by revolving the region enclosed by the curve y=3x2 between x=1 and x=2 about ...

Q: Arc length calculations Find the length of the following twoand three-dimensional curve.r(t) = ⟨2 + ...

A: rt=2+3t, 1-4t, -4+3t,  1≤t≤6 Now differentiating with respect to t, we get r't=3, -4, 3 Now, r't=32+...

Q: cos2x - 1 Evaluate lim x +0 ex – x - 1

A:

Q: Find the derivative of the function. s(t) = 44 (8t° -5) %3D s'(1) =D 65

A: st=448t3-565

Q: The slope of the normal line to the tangent line of 1 is f(x) = (sin x)² at a = V2 :Select one V2 .a...

A: We have to find slope of normal to the tangent line of fx=sin-1 x2 at x=12. We know the slope of nor...