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Q: please help me out

A: The function P(t)=60sin2π25t+60 is used in biorhythm theory to predict an individual's intellectual ...

Q: If cotθ= 12/5 and θ is an acute angle, then what is the value of cosθ?

A: We will find the value of cosθ as following.

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: 142. Determine all points on the graph of f(x) = x³ + x² – x – 1 for which a. the tangent line is ho...

A: Given, The function fx = x3+x2-x-1 We have to find all points on the graph of fx for which The tang...

Q: A bottle, Volume of a solid formed by roating a region around axis of revolution. Surface area of a ...

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Q: | 4sin θ dθ=

A: Using Integration formula,

Q: If x=t² - 5t and y=1-61² , then dy at t =1 is dx Oa. 4 O b. -1 - 4 d. 4

A: We need to find parametric differentiation 

Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

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Q: -5 -2 3 If D = 8. 3 what is D-1? -1

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Q: find the tangent of the angle from the line through (-2,-3) and (4,3) to the line through (-1,6) and...

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Q: A 100 ft stainless steel rope is to be cut into two sections. One of the sections will be used to cr...

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Q: Evaluate the following indefinite integrals using appropriate integration formula. Complete Solution...

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Q: Show the correct solution of this integral, the given answer is showned below:

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Q: Solve the given differential equation by finding an appropriate integrating factor. y(8x + y + 8) d...

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Q: dy If y = sin(5x – 7), then dx II

A: Given that, y=sin(5x-7) We have to find first derivative of the given function.

Q: lim (x' – 2x* +5)= x→-2 O a. 22 O b. -11 O C. -13 O d. -18

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Q: The local maxima occur at x The local minima occur at x = %3D

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Q: a The curvature of the helix r(t) = (a cos t) i + (a sin t) j+ bt k (a.b2 0) is K= What is the large...

A: • Since, b is fixed here, curvature is now a function of 'a' only. To find its maximum, we have to e...

Q: Evaluate the following indefinite integrals using appropriate integration formula. Complete Solution...

A: First of all use formula of sin4x and write integral in single trigonometric form

Q: QUESTION 1 a) The pressure (p) and volume (v) relationship is given as 112 p : 25 Determine the firs...

A: We will proceed as follows 

Q: 6) For the following real valued functions, evaluate each of the indicated limits or explain why it ...

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Q: The graph of the derivative f' (x) is given below. On what interval(s) is the function f(x) concave ...

A: When graph of y=f'(x) is decreasing, the function y=f(x) is concave down. When graph of y=f'(x) is i...

Q: Which one of the following is a first order linear differential equation? a. d²y dy - 8 dx2 dx =D5 3...

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Q: integral of (49(e^-sqrt(x))/  sqrt(x)) dx from 1 to infinity of 49

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Q: dy = 4 sin 2x –6csc² x, y dx π =7. b) Solve the initial value problem

A: We will solve the given initial value problem.

Q: cot x lim * cos x O a. 2 O b. 0 O C. -1 O d. 1

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Q: %3D

A: Given,           ∫x2ex3dx

Q: A volume is described as follows: 1. the base is the region bounded by x = 2. every cross section pe...

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Q: It is true that int -1 ^ 1 int 0 ^ sqrt 1-x^ 2 dydx= int 0 ^ pi int 0 ^ 1 r drd theta=2 int 0 ^ pi/2...

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Q: integrate

A: The given integral is: I=∫y3 e-2y dy

Q: The cost of producing x units of a product is modeled by the following. C = 140 + 45x − 160 ln(x), ...

A: The cost of producing x units of a product is modeled by the following. C = 140 + 45x − 160 ln(x), ...

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method

Q: Q-21 Solve the linear Differential dy + (x sin x + cos x)y = 2 dx equation x cos x-

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Q: Find T, N, and k for the plane curve r(t) = - 3 In(sec t)i – 3t j. -7<t<5. T(1) =i- (Type exact answ...

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Q: Note: Don't copy from other websites and internet..I have a Plagiarism check... Thank you  Determine...

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Q: Given that 2r + 1 = cos 0. i. Test the symmetries of the above equation. ii. Construct a table for (...

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Q: Find the most general antiderivative. 3t*-t³+6t2 4.9 #14 f (t) t4

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best re...

Q: Find T, N, and k for the plane curve r(t) = ti+ In (cos t) j. -5<t<5. T(t) = i+Oi %3D

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Q: Consider function h. What is the range of function h?

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Q: Consider the following function.g(x) = x2⁄3 If a ≠ 0, find g′(a).

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Q: Find the most general antiderivative. 4.9 #9 f (x) = V2

A: Antiderivative of f(x) is integration on both sides. 

Q: Find the integral of dx V1 – x²

A: Solve by integration

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: A car driving along a freeway with traffic has travelled s(t) =r' – 31* + 3t + 20 meters in t second...

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Q: PLEASE HELP ASAP

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Q: Compute the integral by rewriting the integrand: Integral of (1 divided by x7 times the square root ...

A: Please refer to the image below

Q: Evaluate the following indefinite integrals using appropriate integration formula. Complete Solution...

A: SOLUTION-

Q: Please help me do this homework problem

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Q: The particular integral of (D² – 2D+ 1)y = xe® is 2 -2et - x2 3

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Q: Which of the following double integral allows to calculate the area of region D bounded by the graph...

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