6. ſsin 20 cos’ 0 de

Q: 00 3n+1 6n-1 n=0

A: topic - geometric sequence

Q: ky and k is a nonzero constant, then y could be (A) 2e*y (B) 2e (B) (C) e+3 (D) kty+5 2. OD OB ョ0 O…

A: 1. dydt=ky and k is nonzero constant.2. dydx=cos(2x)

Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: Consider the function f(x)=x^2−4x+1 on the interval [0,4]. Verify that this function satisfies the…

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Q: There is a terribly designed set of stairs. It is not possible for you to step from one step to the…

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Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = 2х +7 Find the consumer…

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Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Solve the problem. wensor.bru 28) Determine the sign of the trigonometric values listed below. (i)…

A: we know that sin θ   is negative in 3rd  and   4th  quadrant quadrants. tan θ   is negative in 2nd…

Q: 1. Determine all critical points for the following. Identify the absolute max/min. a) y = 2Vx + 1 -…

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Q: 4). | (5 sin 2x) dx = 2

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Q: B. Evaluate the following .5 S lx? -x-6|dx - x - 6|dx -5 1.

A: We need to evaluate integral,  NOTE - As per Bartleby's guidelines we can solve only 1 question from…

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: Here we finding the s.

Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: Question Use the first derivative test to find the location of all local extrema in the interval…

A: f(x)=-2(4x-5)e4xConsider…

Q: 2 y = cos( x 4

A: answer is in next step

Q: Convergence of Sequence. For each of the sequences below, enter either diverges if the sequence…

A: Here we have to find whether the given sequence is converges or diverges.

Q: A tank contains 180 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Let the amount of salt in grams at time t be A(t)We have given the initial amount of salt in grams…

Q: CONVERGENT

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

Q: dy Find da and simplify: y = tan(ev)

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Q: If f(x) = 4° + 81log4x. then = f'(2) (Answer accurate to 2 decimal places.)

A: Given  f(x) = 4x + 81 log4x We have to find f'(2).

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per nour. The rate decreased as time…

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Q: 2. The acceleration function (in m/s?) and the initial velocity are given for a particle moving…

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Q: Calculus question

A: Detailed explanation is attached.

Q: (1– 2n²)* n2n n=1

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Q: FEEDBACK MORE INSTRUCTION SUBMIT

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Q: Determine whether the pairs of the functions are linearly inde- pendent or linearly dependent on the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: converges

A: We have to determine the given series is converges or diverges

Q: Use the second derivative test to find the location all local extrema in the interval for the…

A: We need to find local ma and min.

Q: A rumor spreads among a population of N people at a rate proportional to the product of the number…

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Q: Vx2 – 4 dx

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Q: 6. Theorem A matrix A is nonsingular if and only if det(A)#0. Which of the following matrices are…

A: We are authorized to answer one question at a time, since you have not mentioned  which question you…

Q: 2. Determine all critical points for the following. Identify the maxima/minima. 2/3 a) y = 6x - 4x +…

A: A critical point is a point in the domain of function where function is either non differentiable or…

Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: 1. y - x+ 4x - 5 S) - x - 3x 3. sC) - x'+ x- 4x'+ 3 4. Sketch the graph and find the relative…

A: Solution of the problem as follows

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

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Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

Q: 36) y = 2 sin x - 4 10+y 8-

A: to find the differentiation of given function.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: (10re", 2.r3 + 3.r² – 12.r, r>0 I<0 Given: ƒ(x) (a) Identify all critical numbers of f. (b)…

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Q: Activity 1.4.2. For each given graph of y = f(x), sketch an approximate graph of its derivative…

A: For each graph of y=f(x) , sketch an approximate graph of its derivative function, y=f'(x).

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: 6х — 8г? — 5 dx (2х — 1)(4г? + 1)

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Q: 3). 5 dx =

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 – 18 for time t > 0. If the…

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Q: Suppose that c=41, a=57, and C=27°

A: answer is in next step

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: Given that the initial amount of salt = 20 g    and rate of pumping in=3L/min  Let A be the amount…

Q: Use Newton's method with the specified initial approximation xo to find.x2, the third approximation…

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Q: Solve the given initial-value problem. dx x = 6y2, x(9) = 1 y - dy x(y) = Give the largest interval…

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