19.Which of the following can be integrated using substitution? O A Sæ sin?z dæ O B. Sæ sin(x?) dæ O . frsinr dr Sz² sin z dr OD.

Q: c.) S (4t²-t²+16t)dt/(t²+4) d.) S V1-cos*o de

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Q: dx The antiderivativeof |- x +5 is 2- Sin|Vx +s| +C. A) True B False

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: To evaluate y-csc²(y³)cor²(y³)dy, we let u =cse (v³) A True B) False | csch2zdz =-In|csch2z –…

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Q: 2. Solve the initial value problem. Determine the interval in which the unique solution of the…

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Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x - 3 over the closed region…

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Q: Use (8), (t) dr = e-1[ F(s) to evaluate the given inverse transform. (Write your answer as a…

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Q: 2. Find the unit vector in the direction of

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Q: n 1 n 1) Prove that >, V n 2 1. j=1 j(j+1) (n +1)

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Q: Determine whether the lines

A: To find out that the lines are parallel, intersecting or skew.

Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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Q: Find the area of the parallelogram with vertices ?(−1,2,4), ?(0,4,8), C(1,1,5), and D(2,3,9).

A: Let us take  A = (−1,2,4), B = (0,4,8), and C(1,1,5).

Q: 13. y" - y'- 12y = 0; y = Ae** + Be-3*

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Q: Evaluate:- 4 dx ④ -VR-4-2sec-1(즉)+c A =/x2 – 4 + sec + C (c) =2/x2 - 4 + sec -/R-4+2sec-1(즉)+c x2. +…

A: Integration

Q: To begin evaluating sin*xcos xdx conveniently, express: 1 A cos x as (cos?x) ²cosx and use the Half…

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Q: 3. lim f(x) = x³ - 1 %3D X 1 х-1 X approaches 1 from the left- -x approaches 1 from the right 1.001…

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Q: 25 -x2 In -dx , if we let u =/ 25 – x2 , then udu = - xdx. (А) True B) False

A: We can solve as follows

Q: sech (Insinx) cotxdx=2tan-(sinx) +C A True B) False

A: Solution: ∫sechlnsinxcotxdx =2tan-1(sinx)+C

Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: x² dx Using trigonometric substitution, the integral is equivalent to A 4 sec²0 tan0 dô B | 4 tan 0…

A: Trigonometric substitution for x2 - a2  is x= a sec(theta)

Q: For the function, f(x) =x° -7, determine whether it is one-to-one. If the function is one-to-one,…

A: The objective is to check for one one of the given function and if the function is one one find the…

Q: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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Q: 7-4 dt 1.

A: We need to evaluate integral.

Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

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Q: linear approximation of log 99

A: Explained below

Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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Q: Given cos A 11 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest…

A: topic- trigonometric ratios

Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve for the general and particular solution using Laplace Transform y" + y = v2 (cosvEt) %3D y(0)…

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Q: 25— х2 -dx , if we let u=V 25 – x2 , then udu = – xdx. A True B) False

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Q: Question 10 Evaluate: Jevdx.

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Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: The x2-4 dx can only be evaluated using trigonometric substitution technique. A True False

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Q: sin?u In tan"udu, where m is any positive integer, we use the transformation for tan?u= cos?u A True…

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

Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

Q: Which of the following is one of the correct/convenient steps to evaluate cot-+dx _which will yield…

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Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

Q: Consider the alternating series (-1)"bn with n=0 1 bn = 1+ 8n4 Is the sequence {bn} increasing or…

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Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: Question 3 x+6 is divided by x-1 4x+24 The restrictions on X, when can be written in the form 2x2…

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Q: Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D". 1 Σ 8. n…

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Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

A: topic - Synthetic division

Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: V52 -9 dx 3x

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Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

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Q: Evaluate: Jycos2ydy 1 A y'sin2y+ycos2y-sin2y+C B y²sin2y- ycos2y+ -sin2y+ C 4 1 1 글가 sin2y+글ycos2y+…

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Q: sin(e* ) dx sin - cos( sin-1x) + C 1-x

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Q: f) dx. Use the areas shown in the figure to evaluate y = f(x) Area = 1.5 Area = 0.8 a d Area = 2.6"…

A: Note:- According to our guideline i didn't solved multiple questions .so please again repost the…

Q: ,Insec 2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y (A In…

A: topic - integration