Xcos-(x) If x =0.42 and y = 0.14, then value of C in the antiderivative of F(x) = is (use radian form of angle measure. answer in V1-x? 2 decimal places no space)

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Q: |に1寸に! Question 8 (x-2) Which of the following is/are true about the function g if g(x) 9-x+2 1. g…

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A: On solving this we will get

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Q: sin2x cos3x dx=- sin5xdx - sinxdx A) True В False

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Q: Question 14 If we let 4=V5+x, the integral -1 is equivalent to V5+x

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x – 10

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Q: After appropriate substitution, the integral expression | x (22 + 4) de can be express as (choose 2…

A: We have to find out

Q: ,In sin –1x ) dx / sin(e n sin -x -cos(sin-!x) +C V 1– x² | A True B False

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Q: The integral expression J xsin (2x)dx can be evaluated using integration by parts of the form Judv =…

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Q: Is this improper integral type 1 or 2

A: To tell whether the given improper integral is of type 1 or type 2. Definition of an Improper…

Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

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

A: On solving this we will get

Q: Find the Taylor series generated by (a) f (x) = 2x at x =1 ( b ) f (x) = 2x3 + x2 +3x-8 at x =1

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Q: S. | sech (Insinx) cotxdx=2tan - (sinx) + C

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Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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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: Determine if the following series is absolutely convergent, conditionally convergent, or divergent…

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Q: Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A: The given vectors are: A=0,4,2, B=6,-1,0 & C=3,0,1

Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: What is the general solution for following differential equation? y′−x=8 (Do not include the "+C"…

A: Find the general solution for following differential equation?   y′−x=8

Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: topic - relative frequency

Q: a/2 sin x Evaluate the improper integral / - "xp² 1– 2cos x A The integral is divergent B 2 - 1 D

A: Given:     ∫π3π2sinx1-2cosxdx substitute u=1-2cosx→dudx=2sinx                   dx=12sinxdu…

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Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral-…

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Q: 2 -/2x +1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=3 and y=5 ?…

A: Antiderivative

Q: By algebraic substitution, the integral - dx dx is converted to: 4+x 2ydy (A y+4

A: Option a is the correction and other option does not satisfy the given conditions

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: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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Q: 1 csch2zdz=-In csch2z – coth2z +C 2 A True B) False

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Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

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Q: Question 1 To evaluate sin 2r cosº2xdx conveniently, the formula identity to be used is/are A cos 2r…

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

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Q: Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t)…

A: To find the area between the parametric curves

Q: Let x = 1.56 and y = 2.33. Determine the value of C when you evaluate cot-(2x)dx.(use radian form of…

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

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Q: (4x2+ 5x4)dx By method of partial fraction, the integral | - can be evaluated when expressed as…

A: We find out the partial fraction decomposition of given integral. Follow 2nd step.

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: Question 3 „Insec2 (sin2y), Which of the following is one of the correct steps to evaluate the sec2y…

A: Given query is to find the correct step to integrate

Q: Find the measure of the angle z. Round to the nearest tenth of a degree. 21 12 8.

A: Given:     Triangle is given

Q: After evaluation, if J tan *3rdr=-tan'3r - ( ? ) tan3r +r + C, then find the missing (?) term. ® --…

A: I have appended the formula used in the solution part.

Q: Question 6 To begin evaluating sin*xcos°xdx conveniently, express: A sin'x as (sin²x)²and use the…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Which of the following is true? cos (x), cos (x) cos1°(x) O Ssin*(x)cos°(x)dx =- + C 10 A 4 ®…

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Q: To evaluate y?csc2(y³)cor?(y³)dy, we let u =csc(y³) A True B False

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

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

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Q: 6x? + 23 – 9 is F (æ) = a ln (Jæ + 3|) + b ln (Jæ|) + d ln (la- 1)+ C then which of the 3 + 2.x2 –…

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Q: Let x = 1.3 and y = 3.22. Determine the value of C when you evaluate cot *(2x)dx. (use radian form…

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