Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

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Q: 17. Evaluate the given integral, Í x ln x dx: A. x² Inx Inx -+c 2 x? Inx В. + - + c 2 4 x² Inx + 플…

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A: Answer is 60

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Q: 3. |sin3xsin 2x dx

A: 3. Now sin 3x sin 2x=12(cos(3x-2x)-cos(3x+2x))=12(cosx - cos5x)

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Q: 2. The graphs of ƒ and g are given. Use them to evaluate each limit, if it exists. If the limit does…

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Q: clearly

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A: topic - derivative of a function

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A: From the given graph we can conclude that - -->  f(x) has local maximum at x=0       and the…

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 3. Find the area of the region between the curves y = Vx and y =x2.

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Q: Jse an appropriate substitution and then a trigonometric substitution to evaluate the integral. x dx…

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: [sin 3xsin 2x dx 3.

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Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: Given the area of the region enclosed by y x and y = -2x* , identify the BOTTOM function.

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Q: dy Find by implicit differentiation. dx 8x? = 5 - ey dy %D dx (Type an exact answer.)

A: Consider  8x2=5-ey

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Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

A: In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20 enjoyed rock…

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Q: -2 (5х2-3х+18)dx 1. 1 9х-х3

A: We use partial fraction to find the given integral As per our guideline we supposed to answer only…

Q: 19. Evaluate the given integral, ſe*1+ ex dx: A.(1 + e*) + c B. (1 + e*)} + e c. (1 + e*)* + D. (1+…

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

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Q: The logistic equation d = P(a – bP), Р(а — a > 0, b > 0, is dt Select one: O None of them nonlinear…

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Q: Consider the function f(x) = 3 – 6x, - 3 < x < 1. The absolute maximum value is and this occurs at x…

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Q: Find the Solution (1+12) ds + 2t[st² – 3(1+12) 2]dt = 0; when t = 0, s = 2. %3D

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