Which of the following is an improper integral? dx A) 2x+8 2. In3e ® S* (в COSX dx -2 C) 4x² – x - 2 O S'm(x+ 1)dx (D -1

Q: What is the integrable form of dr? du u du

A: Given integral is:  

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

A: The given question has been solved in detail and option D is the correct answer

Q: sinx +x te The integral dx may be written as mensinx +px + qe" +C. where m, n. p, q, r, and C are co...

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Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: d -x" +x° + C. a The general antiderivative of (3x² – 4) 2x² can be written as -x" т п р What is the...

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Q: What is the integrable form of sin (0) do? sin cos

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: The region is bounded by y=x2, y=9, x=0, x=3

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

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Q: 10* -dx may be written as Aln secB*+ tanB*|+C, where A, B, and C are constants cos10* not equal to z...

A: We will do this question by integrating the given integral and comparing it with the given expressio...

Q: sinx sinx +x +e COSx - e The integral dr may be written as me nsinx + px + ge + C, where m, n, p, q,...

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Q: 10* dx may be written as AlnlsecB* tanB*+ C: where A, B, and C are constants not equal to zero. Eval...

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Q: Find the equation of the curve for which d-y -=6- 9x and which passes through the points (0, – 1) an...

A: Equation

Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1 Le...

A: We will find the value of the function. 

Q: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

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Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisf ies the prope...

A: Let's find. 

Q: Evaluate the flux integral F.S where S is the surface given by 22 = 1 + y, 0s z 5 4, oriented upward...

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Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: cos2x – sin2x cos2x For -dr=-F(x)+C What is F(x)? Cosx - sinx 2 3 2 sinx + -cosx+ cosx + - sin³x 3 3...

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Q: 4 dx Evaluate Зх — 12 1 00 + 00 1

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Q: What is the integrable form of sin-cos-sino do? 2 2 u² – 1 du 2 | cosu du 1- u? du -2 | sinu du

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Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

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Q: 1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c) ...

A: Given:     ∑n=1∞ 1+2n3n

Q: Question 20 f F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) – F(-1)? (A) -1 ...

A: Integration

Q: What is the integrable form of et dx? e-e-X

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Q: e resulting integral of s sin sin(0) do has the form --F(0)+ mat should be the value of 0 to make F(...

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Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square u...

A: Solved below

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

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Q: dx Evaluate Зх — 12 1 O + 00 O - 00

A: The given question has been solved in detail and option D is the correct answer  

Q: of dr? e-ex

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Q: f(x) = x³ – x +1 e = 0.0001 %3D %3D initial value = 0 %3D increment = -1 %3D

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Q: Question 10 If the brakes on a car can give the car a constant negative acceleration of 2k m/62 , wh...

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Q: 30. The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear app...

A: This question is related to error and approximation, we will solve it using given information. 

Q: dx 1. S- x Vx2 -9

A: According to the guidelines in case of multiple questions, We are only supposed to solve first quest...

Q: - -r(0)+c The resulting integral of sin-cos-sino de has the form +C. What should be the value of a t...

A: We will find the value of theta. 

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:       ...

Q: y=-x3/2 – 33

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Q: ((2- sec?r) ! sec(3A – x) eIn (ale) secx dx to be integrable using the formula What should be the va...

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Q: Find the area of the region bounded by the curve y=1- and the x- axis.

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Q: dx Evaluate Зх — 12 1 (A 00 В) о + 00 D 1

A: Here is the solution  

Q: : [ (2- sec?x) lm sec(3A – x) e In (ale) sec3r What should be the value of A for dr. to be integrabl...

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Q: dx = In[F(x)]+C. What is F( /3) if C = 0? For (x+x³)(x Tan-!x+1) 1 (A 1 (B 6. 1 V3 1 D + -15

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Q: Evaluate the higher order derivatives. 1. Given the function f(y) = find the second derivative. (6+2...

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.