Use an appropriate test to determine if the series ) 2n converges or diverges. n+ en

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A: Given:          ∫cos2x-sin2xcos2xcosx-sinxdx=13Fx+C      =∫cos2x-sin2xcos2xcosx-sinxdx   Expanding t...

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)...

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the fu...

Q: y'dx +e* dy = 0 e* +y =c Ans.

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Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: 17. Multiply. 2(Ax - 65) 18. John has a piece of rope. The rope is 144 inches. He cuts the rope into...

A: Please see the answer below.

Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square uni...

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Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

A: Given function g(x) = 13bc3(5b+4c+9)5 Find:- Find differentiation with respect to 'x'

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative. 

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Definite integration

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + + +

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Q: 人 こ 5

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Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: cos2x - sin2x cos2x -dx =-F(x)+C• For What is F(x)? cosx – sinx 2 sinx + -cosx+ cosx + -sinx 3 3 2 s...

A: Using cos(2x) =cos2 (x) - sin2 (x) 

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: sin-cos-sine de has the form --F(0). 2 The resulting integral of +C. What should be the value of e t...

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Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

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Q: cos2r – sin2x cos2x F(x) +C• What is Fx)? For dx= 3 cosx - sinx

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Q: A particle moves along an s-axis with the acceleration function 15 a(t) = Vt + 6t - 4 Moreover, its ...

A: The acceleration function of a particle,at=154t+6t

Q: (2- sec?x) " sec(3А — х) e In (a le) sec3x -dx to be integrable using What should be the value of A ...

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Q: vas y dS

A: Use simple integration formula.

Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

A: As per bartleby guidelines we only give first question answers. 

Q: e* dx? e* – e -> What is the integrable form of du ? du

A: Explained below 

Q: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

Q: The integral dx may be written as me" +px+qe™+ C, where m, r ,sinx equal to zero. Evaluate m +n+p+q+...

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Q: cos2x – sin2x cos2x -F(x)+C•What is F(0)? For What is F(x)? cosx – sinx 3 (sinx – cosx)* 2 sinx + -c...

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Q: What is the integrable form of sin-cos-sin0 do? 2 2 (A) 1- u² du B - 2 sinu du u² – 1 du 2 cosu du

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Q: The area of the region between the curves y = x2 and y = x from æ = 0 to x = 1 can be evaluated by |...

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Q: Given cost and price​ (demand) functions C(q)=120q+43,000 and p(q)=−1.9q+850​, how many items must b...

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Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: dy y- 1 dx -1' y(2) = 2

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Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: cos2x – sin2x cos2x x=-F(x)+c•What is F(x)? For = - sinr

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A: Draw a schematic diagram of given question.

Q: 2sm x-1 2. y= COST+2

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Q: 2x +4 9. Let f(1) = Find the equations of the horizontal and vertical asymptotes of %3D 5x +2 y = f(...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

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Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: sin-cos-sino do? 2 2 What is the integrable form of

A: Given that,

Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: cos2x- sin2x cos2x dx =-F(x)+C: What is F(x)? For cosx-sinx 1 A (sinx- cosx -3 sinx + -cosx+ cosx+ -...

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Q: A recipe calls for 3 cups of liquids, which includes ½ cup of lemon juice. What part of the liquid i...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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