10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero. Evaluate the value of „A- cos10* + C +B 15 20 O -20

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Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

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Q: dx Evaluate Зх- 12 A - C) 8. B.

A:   The given integral is ∫14dx3x-12.   Compute the integral ∫dx3x-12 as follows. ∫dx3x-12=∫dx3(x-4)  ...

Q: 3 dx Evaluate the J 2+81 improper integral:

A: We need to integrate∫-∞∞3x2+81dxWe know that ∫1x2+a2dx=1atan-1xa+C ---{1}

Q: Moving to another question will save this response. Question 13 cos2x – sin2x cos2x For dr =-F(x) +C...

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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. 

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A: The given integral,      ∫cosx-esin x+esinx+xesinxdx

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A: Please refer to the image below

Q: osx- e sinx sinx +x +e nsinx The integral dx may be written as me' +px + qe"* + C, where m, n, p, q,...

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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: What is the integrable form of sin-cos-sino do? 2 2 (A) Vu?-1 du 1- u² du -2/ sinu du D cosu du

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Q: Question 5 of 6 Determine the speed along a parameterized path s(t) = (2t°, 2t2) at time t = 9 (assu...

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Q: Find the area of the region bounded by the curve ,2=4x and the lines x = 1 and x = 4. 63/2 square un...

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Q: a The general antiderivative of ( 3x2 – 4) 2x2 can be written as +-xP +C. What is the value of the s...

A: (3x² - 4)² x² = (9x⁴ - 24x² + 16) x² = 9x⁶ - 24x⁴ + 16x²   

Q: 2. Evaluate lim x-4x+1 x-1 x-1

A: To find out the limit. 

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A: Given:     y = 2√x   Point: ( 9 , 3 )

Q: Given matrices A =, , compute 2A + B. and B %3D

A: To find the matrix of 2A +B when matrix A and matrix B are given.

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the cur...

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Q: Question 13 d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of t...

A: To find the equation of the curve satisfying the given conditions .

Q: Which of the following is a multivariate function? No answer 5e-sin z cos (e) e V2x? – y

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Q: Question 11 What sin A du du © 2 -2 / sin(u)du

A: To find integrable form of given integral. Using substitution by trigonometry.

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

A: We will solve this problem in some steps

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

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A: We have to find the area under curve .

Q: What is the range of the f (x, y, z) = a4 – 6xy? + 723? No answer Any real number greater than or eq...

A: Range

Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

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Q: f (x, y, z) = x4 – 6xy? + 72% - (x, y, z) → (0, 0, 0)?

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: r cos2r-sin2r cos2r de=F(+)+c• What is Fw For cosr - sinx sinx +-cos'x+ cosr +sin'x 3 3 (sinx - cosr...

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Q: y=-x3/2 – 33

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Q: b. d xP +C. What is the value of the sum a The general antiderivative of (3x2-4) 2x2 can be written ...

A: ∫(3x2-4)2x2dx=∫(9x6-24x4+16x2)dx                             =97x7-245x5+163x3+c

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

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Q: the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positive ...

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Q: nd the equation of the curve for which nd (2,3).

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Q: a The general antiderivative of ( 3x2– 4) 2x2 can be written as "+ xP. P +C. What is the value of th...

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

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Q: Which of the following is an improper integral? A dx -4 x² – x – 2 In3e (B cosx dx хе -2 dx C 2x + 8...

A: To find out the integral which is improper. 

Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. 24 square uni...

A: Area of the region bounded by the curve y=f(x) from x=a to x=b is given by, A= ∫abf(x)dx

Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 9. 8 square units 6 square u...

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Q: ex What is the integrable form of dx? (A) – 1) du B du © [lu?-1) du (1-и2) 2 du

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

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Q: dx Evaluate Зх — 12 A 00 B 00 (c) D) 8

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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: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: dx Evaluate Зх — 12 A 00 B + 00 1

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Q: What is the integrable form of sin-cos-sin0 do? 2 2

A: SOLUTION-