2. Evaluate the indefinite integral using the substitution method. [((x+5)(z-5)) d

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Q: csc cottan cot (a) [s 0 de

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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Q: Evaluate the integral. [₁² ( 2x + 1) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: Evaluate • fff ²² e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y²…

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Q: Find f"(x). 13. f(x) = x² + fr) - r³ 375

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

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Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: 5. dy 0sec(y/0) + y de Ө

A: 6. dydθ = θsec( yθ ) + yθ

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Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

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Q: y"-y-2y = 0, y(0) = 0, y'(0) = 1.

A: The given differential equation is; y''-y'-2y=0, y(0)=0, y'(0)=1

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Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…

Q: 4. If f(x) = 7x - 3+ In x, then f'(1) = (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

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Q: 4. (x² + y2)dx + 2xydy

A: To solve the given differential equation

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Q: During a 12-hour period, the temperature in a city dropped from a high of 60°F to a low of -30°F.…

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Q: Evaluate the integral √2³ (2¹ – 10) "dr by making the substitution = ¹-10.

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Q: 5. Compute all roots. Indicate the location of the roots on a circle centered at the origin 1/2 (i)…

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Q: a) J (te¹ + t)dt. b) fw sin(2πw)dw. c) fet cos tdt.

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Q: (D3 - 2D² - 5D + 6)y = e³x, Find Yp O a. 1 10 3x e

A: Given differential equation ( D3 - 2D2 -5D + 6 )y = e3x

Q: he shape of an ellips following equation:

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Q: pose that f is an even function, g is odd, both are integrable on [-7, 7], and we know that S 1…

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Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

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Q: 35. (- sint, cos t) dt

A: Given problem:- ∫0π-sint,costdt

Q: Given the graph of f(x) and the labeled areas, 15 find [ f(x)dx 5 A=14 B-5 12 15

A: We are required to find ∫515f(x)dx=? using the data given in the figure

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The given curves are: y=16-x2, x-axis or y=0, and the lines x=-4 and x=4   So, the bounded region is…

Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

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Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

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Q: Determine if the series below is a power series. Select the correct answer below: O Power series O…

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Q: D. Use the the given that y = y' + 2xy² y ( 1 ) = 1 is a one-parameter family of solutions of the…

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