Evaluate the indefinite integral. (Use C for the constant of integration.) I COS(π/X⁹) dx X10

Q: y= 3x²-1 2 2x+5

A: Given problem:- y=(3x2-1)/(2x+5)   Find derivative using quotient or product rule

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A: To find f(x+h) replace x by x+h in f(x).

Q: dy = 26² Q2/B) Solve the following differential equation by using homogenous D.E method dx

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Q: y = 4 16 3x+3

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A: As you have asked multiple questions so that I have answered first question as per the guidelines.

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Q: Find the general solution of the ODE. d'y dy +3. dx² dx Stre

A: Given d2ydx2+3dydx=5x+xex

Q: 7. √16-e2x e* -dx

A: We can solve the integration as below.

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A: Given function, f(x)=cos2(x)-3sin(x) We know that, Suppose that x=c is a critical point of fx then,…

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A: As per Bartleby guidelines rule I am answering only first question as other question is not a…

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Q: x 0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this…

A: The given function,     fx=x-1,x&lt;01,x=0x2-1,x&gt;0

Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: 4. f sin3x sin2xdx =

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Q: 1. xpzx-91/f

A: As per Bartleby guidelines rule I am answering only first question as second question is not a…

Q: Directions: Find the area of the region bounded by the curves. Use a clean sheet of paper for your…

A: To find out the area bounded by curves.

Q: 4. Find the domain of the following functions: 10 (a) H(x, y, z)= 1+x² + y² +4z² (b) K(w, x, y,…

A: A detailed solution is given below.

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

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Q: x² +11x+30 4x+20 For items 37-38: Given the function f(x) = [Select] 37. What is f' (6)? [Select]…

A: Given  f(x) = x2 +11x+304x +20    ------(1)

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A: Use triple integral concept

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: Here we have to use the concept of derivatives.

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

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Q: QUESTION 2 Evaluate lim " QUESTION 3 Clearly illustrate with explanations why lim 100 0.01F g(x) x-0…

A: We have to find limit

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A: We need to find no. of trees.

Q: 9: (71

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Q: Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8…

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Q: Q2/ Find the value of the integration by Simpson's method when 3 = n, then compare the result with…

A: We have  slove above integration

Q: 4. 13x²-1 3 X-X -dx

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Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A: Given:a=-3i+2jb=2i+aj

Q: (5x²+4)

A: ddx15x2+43

Q: Direction. Evaluate t s+20 the space provided. 1. fxcos 5x dx =

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Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

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Q: Question Given compute the following integral. Provide your answer below: (-4f(x) + 4g(x)) dx = […

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Q: Consider the solutions Y(t) of with a, b, d constants and a, b>0. Calculate lim y(t). t-x Hint:…

A: This question can be solved using the concept of linear differential equation and limits.

Q: S x3 -4 16-x² A 4 B) None C 0 D) 8 E 2 dx is equal to

A: To find the value of the given integral

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... for…

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