Question 12 What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 3 2 D

Q: Evaluate fun" (x) setx de Stan" 1 -tan (m + 1)(x) + — -tan (m-1)(x) + C m-1 ₁ (m + 2)(x) + -tan" (x)…

A: On solving this we will get Option (3) is correct

Q: x² - 25 to fill in the table: Xx - 5 6 5.5 5.1 5.01 Based on ONLY the table of values above, what…

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Q: The integral A / B © S D x² + x dx can be transformed to which of the following using trigonometric…

A: Explained below

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Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

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Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

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Q: 1. Evaluate the integrals (a) fxsin 2xdx, (b) f(3x - 1) eª dx, Hint: Use the Integration by Parts. 3…

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Q: Question 1 What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? 12

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Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

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Q: 2 Find all local extreme values of f(x) = + 2x² + 6x + 80. - 3 The FIRST local extreme value, moving…

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Q: Calculus Effect of Luxury Tax on Consumption Government economists of a developing country…

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Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y²=4x about y=4 is to…

A: Here, the region is bounded by the curves x2=4y⇒x=4y & y2=4x which is rotated around y=4 axis…

Q: 3x5 3x4+6x³-3x² - 6x B с -+ x-1 x+1 x+m S= Consider Sx-m+- A xm+-+- -dx. Using the method of partial…

A: Since the degree of the numerator is not less than degree of the denominator, perform polynomial…

Q: Question 3. Let L₁ be the line with parametric equations x = = 1 — t, y = 3 — 2t, z = 4t. Let L₂ be…

A: Given L1: x = 1-t , y = 3-2t , z = 4t Rewrite it in the following form (x-1)/-1 = (y-3)/-2 = z/4…

Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

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Q: mx 13 if x < - 9 - Let f(x) = x² + 3x − 4 if x ≥ −9 If f(x) is a function which is continuous…

A: The objective of the question is determine the value of "m".

Q: Consider I x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4…

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Q: The volume of a cube is growing at a rate of 225 ft3/min, and the length of a side is 5 ft. What is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose m and n are constants and 1 1 —sin(m− n)x+ - -sin(m+n)x+C 2 m-n m+n 1 = cos(m− n)x - 1…

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Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

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Q: T/6 3 coss 3x dx

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Q: QUESTION 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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Q: dx ·S= can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

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Q: he definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative…

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Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: True or False: lim O False O True 2² + 3x - 1 14-2 2-9 3 11

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Q: Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

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Q: f(x) = x² + 5x - 1

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Q: Set up, but do not evaluate, the integral to find the area of the surface generated when the curve y…

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Q: Question 9 The integral - dx (x²+4)² can be transformed to which of the following when trigonometric…

A: The given  integral can be transformed to which of the following when trigonometric substitution…

Q: To evaluate A B [x²cc x²cosx dx use integration by parts. What is the expression after the second…

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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin…

A: We have to find the integral

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Exercises To Solve [No.5] Lim 9-5 -4 S dx -8x-15 Cosx Sinx+25inx+5 dx.

A: Solved below.

Q: -S₁ Consider 08 14/3 O 17/8 05 3x5 3x4+6x³-3x²-6x •√(x-1 -dx- Using the method of partial fractions,…

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Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: Find_f'(x) 16. f(x) = sec² x - tan² x

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Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1 1/2…

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Q: or S- For x1/2 S- S- S- 411 dx and using the substitution -du -du -du 411 √4-(21²) 2 -du the…

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Q: Question 6 6dx For the method of partial fractions, to evaluate S90 -1 = S Adx + S = X-1 Bdx X+1'…

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Q: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…

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Q: 43. Evaluate: S(2ex - 4x) dx A. 2e*4* + C B. -2ex + 4x + C 4x C. 2ex + C In 4 4x D. 2e* + + C In 4…

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Q: 2. Given: polar curves C₁ : r = √√√2- cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√2, ³) and…

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Q: At a football match between North Storm and West Stanford there were 71,167 spectators. If 41,109…

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Q: In Problems 7-12, evaluate each given determinant after first simplifying the computation (as in…

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Q: The volume of the solid generated by revolving the region bounded by and y2=4x about y=4 is to be…

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Q: QUESTION 6 ·S. sece tane de sece - 1 The integral cose de 1-sine sec²0 de 1+tano sine de 1+ cose x…

A: Let's transform given integral.

Q: Consider the function f(x) = x² - 9x + 20 x - 3 a. Find the first derivative. f'(x) = b. List any…

A: We have to find the derivative and monotone intervals.   According to our guidelines we can solve…