Evaluating Indefinite Integrals Evaluate the integrals in Exercises 37–46. 44. (sec 0 tan 0) V1 + sec 0 do

Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: Solve the system. 2х + 6у - z %3D 6 4х - Зу + 5z 3D - 10 8х + 9y - 2z 3 12 The solution set is {(CI)...

A: We have to solve system of equation

Q: Write the equation of the sphere if (1, - 2, of the sphere. 5) and (- 1, - 2, - 7) are the end point...

A: Solving question by equation of sphere

Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

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Q: landscaping

A: We will find a linear equation. 

Q: Using the limit comparison test the appropriate b, that is used to make the series E In(n) converges...

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Q: Find the indefinite integral. sinh(2 – 7x) dx Step 1 First, let u = 2 - x. Now, differentiate u with...

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Q: Solve using the U-Technique Question 18 dx du The integral S; reduces to f ka", where u = f(x) and f...

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Q: m2+2m Consider f dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+...

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Q: Determine which of the following expressions are equivalent. Show your method. Hint: there are two e...

A: Here we will find which expressions are equivalent,

Q: If cotx 12 find the other trigonometric functions

A: topic - trigonometric ratios

Q: cot 2x J Vcot 2x – 15

A: Given,           ∫cot2xcot22x-15dx

Q: W= x"+y+Z",

A: This is a problem of partial differentiation. Based on the general formula of PDE we will solve the ...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: ∑n=1∞-23k

Q: .......

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Q: Write the first five terms of the sequence: {13a"} ´ 13 In n ] +00 n n=1 Determine whether the seque...

A: {13ln(n)n}The nth term of the sequence isan=13lnnna1=13ln(1)1=0a2=13ln(2)2a3=13ln(3)3a4=13ln(4)4a5=1...

Q: 5 sin Od0 = -5(cos x – 1). Select one: O True O False

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k Σ 2ln k k=2 ...

A: We know about conditionally convergent when series absolutely divergent.

Q: Solve using the U-Technique Question 7 Consider f"m dm. If we let u = m + 1, what will be the result...

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Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: Question Let k(x) = (-3x² + 2x)g(x)h(x). Given the following table of values, find k' (-2). %3D -2 -...

A: k(x) = (-3x2 +2x )g(x)h(x) find k'(-2) =? k'(x) = (-6x +2)g(x)h(x) +(-3x2 +2x )(g'(x)h(x) + h'(x)g(x...

Q: du Compute f CSC X u = f(x), then dx sin x – cos x 2 -

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Q: Solve using the U-Technique Question 19 1+ In x Find f(x) so that when u = f(x) the integral tan( f(...

A: Here, given that when u=f(x), ∫1+ln xtan(f(x))dx=∫cot u du⇒∫1+ln xtan(f(x))dx=∫1tan u du

Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: Determine whether the alternating series converges. 11ln k (- 1)*. =3 k O The series diverges. O The...

A: In this question we have to find the whether the series is converges or diverges.

Q: Evaluate the integral. 7 sin-x dx +C NOTE: Enter the exact answer in expanded form.

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Q: Plot the following functions 1. v y = -x|x|

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Q: f(x.y) = / (x² - 16) (y² - 9) Find the domain of the function. Express the domain so that coefficien...

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Q: Solve using the U-Technique Question 17 For f (-4х-12) dx (x+10)³(x-4)³ F(x) - 1. What is F(3)? ... ...

A: given that ∫-4x-12x+103x-43=Fx-1find F3

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du . I tan(f(x))

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

Q: Required information NOTE This is a multi-part question Once an answer is submitted, you will be una...

A: Here we have to find B*B*B. Where B ={x.y}

Q: (h) lim - 7 log: (z) -0- ||

A: Given query is to find the value of indicated limit.

Q: т?+2m Consider dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+1

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Q: Write the first five terms of the sequence: {Vn² + 7n – n} +00 Determine whether the sequence conver...

A: Given: ∑n=0∞n2+7n-n

Q: The function s(t) describes the motion of a particle along a line. s(t) = t³ - 8r² + 21t – 260 (a) F...

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Q: Matt is buying hamburgers and cheeseburgers for his study group in their school canteen. A hamburger...

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Q: Find two positive numbers whose product is 324 and whose sum is a minimum. List them in non- decreas...

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Q: 4. If x - xy + y = 1, find y 3x a.) x-3y2 c.) d.) ay b.) 1-3y2 3y2. 5. If 3x? +2xy + y? = 1, then y ...

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Q: If g(x) f'(x) and if g(x) (cos x - x sin x)e*cosx, then f g(x) tan(f(x))dx is x cosx In(e*cosx) +€ s...

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Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + + ...

A: Let's find. 

Q: 1-2n The sum of the series 1 is: A) 1. B) 2. C) D) E) Diverges.

A: The given series is: ∑n=1∞121-2n which can be rewritten as: ∑n=1∞1212-2n=12∑n=1∞2-1-2n=12∑n=1∞22n=12...

Q: O Define f (x) = 1x = Graph it. Label as a piece wise defined function your graph.

A: Given

Q: What related conditional is equivalent to converse?

A: We need to find the related conditional which is equivalent to converse

Q: Prove that the given equation is a solution to the given DE: 1. %3D Gjезх + Сzе 2х + Сзе*; у" — бу" ...

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

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Q: Determine whether the series converges. 17 19k k=1 The series converges eTextbo diverges

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