Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

Q: Determine whether the sequence converges or diverges, and, if it converges, find lim an: n-00 3 - 1n…

A: We have to find the limit

Q: 3n 8 If tan 0= find the exact value of each of the following. 2 cos (20)

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Q: 5. f(x) = (3x² + x)e5x² %3D

A: Explanation of the answer is as follows

Q: ind 4 using implicit differentiation and evaluate the derivative at point (-1,2) 2.a°y + 5x?y³ = 2x

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Q: Consider the following. z = x2 + y2, x = 4s + 8t, y = s +t az az and as Find by using the chain…

A: Here, the given functions are: z=x2+y2, x=4s+8t, y=s+t So, z is a function of x and y and x and y…

Q: tdt 1-t4

A: Topic = Integration

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: If S; (x²-1)(2x-x*) dx can be resolved into A S+ B S f(x)dx + D S g(x)dx , then x²+x-2 lim, ° dx +…

A: Partial fractions: The fractions needed to decompose a rational equation are called partial…

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: we are given the function f(x)=cos(x) and the interval -π3,π3.The function f(x) is continous on the…

Q: 8. Describe the steps you would use to determine the absolute extrema of the function Ax) = (x- 3)e"…

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

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Q: dy 5. Vy -1

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Q: d d Calculate r1(t) · r2(t)] and dt ri(t) × r2(t)] first by differentiating dt the product directly…

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Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

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Q: Given f(x, y) = 5z² + 42°y° – 2y“, find fr(x, y) = fy(z, y) = fer(1, y) = fry(x, y) = %3D

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Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

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Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

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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: differential cgnatuin as A. Identify the given to the dependent variable, degce z the eguati degre 3…

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Q: Find (3+2)-2i. 406 754 386

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Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

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Q: 7.372 The rate of change of the weight of a mouse, can be modeled by r(t) grams per week, where t t…

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Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

Q: y 4 (2, 4) y = 2x y = x2 2 Using a vertical element of area, the area of the shaded region is given…

A: Solve the following

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: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

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Q: Evaluate the limit 9х + 5 lim z+00 2r2 – 6x + 6

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Q: Find div F and curl F if F(r,y, z) = 1°i – 7j + yzk. div F= curl F=

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Q: Change the Cartesian integral to polar coordinate | +y*)dx dy

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Q: 4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

Q: Evaluate the definite integral. O e10 e10 - 1 i+ k 10 10 - 1) j+ k 1- e10 - 1 10 e10 i - e j+ 1 k 2…

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Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: Differentiate the following using implicit differentiation 3/a + V = 7

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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: Step 1 |an + 1 an + 1 n+ 1 1, or lim = 00, then n00 an Sa, diverges. For any fixed value of x such…

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Q: Show that g : B → A, g(x) = √ln x is the inverse of f. Why is f^−1(x) 6 ≠ −√ln x?

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Q: Verify that the conclusion of Clairaut's theorem holds, that is, u, Uxy = "yx' u = x'y8 – y? With u…

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Q: (А) True B) False

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Q: show

A: As per the guidelines we can solve 3 parts only.

Q: alyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of…

A: We are allow to solve one question and 3 subpart only at a time. If you want rest of solution please…

Q: Let g(8) = (2s – 1)°. Then g'(8) is 9'(1) is 9'"(8) is and g''(1) is

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Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

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Q: e equation (2 cose – 1)(3 + tane) = 0 over the interval [0, 27]. solving for trig functions,…

A: We will solve the equation.

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: 1. sin 0 =

A: answer is in next step

Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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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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