Question 20 Which of the following is an improper integral? In(x4+1) dx -1 In3e COSX dx xe dx -4 x2-x- 2 dx 2 2r+8

Q: Question 21 Which of the following integrals is equal to (3x – 5) dx if u= 3x – 7? A @ :/ (u-2) du (...

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Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9. (A 8 square units B 4 sq...

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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: 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: Evaluate xy z? dx dy dz

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Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

A: We will do this question by checking the conditions for the given options.

Q: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...

Q: e* What is the integrable form of dx? A du B du du D du

A: Solve by substitute

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: b - -x"+xP +C· What is the value of the sum a+b+d+m+n +p? a d The general antiderivative of ( 3,x2– ...

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Q: If F(x) is an antiderivative of -2+ x-1, then what is the value of F(1) – F (–1)? 3 -1 -2

A: If F(x) is a antiderivative then there exist a  function f(x) such that  F'(x)=f(x).

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

A: Given problem:- Find the equation of the curve for which and d2y/dx2 = 6-9xwhich passes through the ...

Q: (4) Let S be the surface parametrized by I= r cose y =r sin e 2= 30 where and Evaluate the integral ...

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

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Q: What is the integrable form of sin 0 sin-cos-sine d@? 2 2 u² – 1 du 1– u² du 2 | cosu du -2 | sinu d...

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Q: If F(X) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? A 3 В -1 (с) о D) -...

A: To find out F(1)-F(-1).

Q: b "+xP+C- What is the value of the sum a +b+d+m+n+p a d The general antiderivative of (3x2– 4)2x2 ca...

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Q: Vhat is the integrable form of sin(e) de? A 1- u² du B cos np(n)s -2/ sin(u)du D 12-1 du

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Q: The doubling period of a bacterial population is 15 minutes. At time t=110 minutes, the bacterial po...

A: The exponential growth of a bacterial population is given by, A=A0ert, A0 is the initial population ...

Q: dx Evaluate Зх — 12 A 1 B В C 00 D + 00

A: Given query is to find the value of the integral.

Q: Question 18 What is the integrable form of sin sind de? COS- 2. A I du B) sinu du cosu du

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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: Which of the following integrals represents the volume of the solid obtained by rotating the region ...

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Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is...

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Q: If F(x) is an antiderivative of y-2+ x-1, then what is the value of F (1) -F(-1)? O 3 -1 O-2

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Q: of dr? e-ex

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Q: 4 dx Evaluate Зх — 12 1 00 + 00 1

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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: sinx+X cosx - esa+e The integral dr may be written as mensinxi pr+ gerx 1 C, where m, n, p, q, r, an...

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Q: The integral cosx - e Snx te sinx +x + px + geX + C, where m, n, p, q, r, and C are constants not eq...

A: We have to find integration

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: The graph of a function is given. y 1.4 0.6 0.2 For which x in the range shown is the function incre...

A: Function is said to be increasing if slope of graph in that range is positive and for decreasing fun...

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

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

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Q: Mr. James had written two math tests. First test was worth 25% where he scored 40 marks out of x and...

A: topic - weighted average

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

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Q: Let f(æ) = (4x² + 5æ + 2)° f'(x) =

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Q: cos2x – sin2x cos2x For dr3-F(x) +C. What is F(x)? cosr - sinr 3 2 cos'x+ cosx + A sinx + -sin'x B (...

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Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis. 9. A 6 square units B) 0 c...

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Q: 5x2 + 3x – 4 If h(x) find: 4 – 5x = (x),4

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Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

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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: cos2x – sin2x cos2x For -dr =-F(x) +C. What is F(x)? dr%3D 3 cosx - sinx

A: We have to find F(x) 

Q: Question 13 b x"+x"+C. What is the value of the sum a +b+d+m+n+p? a The general antiderivative of (3...

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Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: Estimate f(5.06) for ƒ as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to...

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Q: The integral cosx -e sinx teSinx + dy may be written as mensinx pr t gerx C, where m, n, p, q, r, an...

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