25 -x2 -dx, if we let u=/25 – x? , then udu =- xdx. In A) True B) False

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A: Let's find.

Q: Problem 10.2.3. We can modify the proof of the case f(a) v > f(b). However, there is a sneakier way…

A: Proof

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Q: that

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Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

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A: Please refer to the image below

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A: To solve the following problem

Q: dx The only solution to evaluate is using algebraic substitution technique . 3+Vx

A: Follow the procedure given below.

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A: first find slope of given line we have to differentiate function with x 7 - 9dy/dx  = 0 dy/dx = 7/9…

Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

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Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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A: Given query is to find the rate of change of angle.

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Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: Find the solution of the following initial value problem. 1 1 3 v'(x) = 8x° - 4x 3 ; v(8) = 51, x>0…

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Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

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Q: differential eqation, find general solution for dy/dt = −3y + 4 cos 2t   thank you.

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Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - cos 2x on [-1,1]

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Q: Line L is perpendicular to the Find the slope of line L O a. -4 O b. 5/2 О с. 2/5 С. O d. -2/5

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Q: V52 -9 dx 3x

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Q: Evaluate: Jycos2ydy 1 A y'sin2y+ycos2y-sin2y+C B y²sin2y- ycos2y+ -sin2y+ C 4 1 1 글가 sin2y+글ycos2y+…

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Q: Evaluate: Jevdx. A = 2ev/x+1)+C © - 2evã(/x+1) B + C © =2ev^(/x-1)+c

A: To solve the following integral

Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

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Q: dm =2 | cosh2m dm A True B False

A: A detailed solution is given below

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Q: Given the area of the region enclosed by y = 2 – x´ and y =-x, identify the integral that represents…

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Q: Question 17 Which of the following is NOT an improper integral? x-dx A -2 Vx2-1 x/2 sec x dx 01 x13…

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Q: Find the distance from the point (5, -4, 1) to the plane −3x−2y−3z=−4

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Q: Find the vector PQ × PR if Р%3 (7,7,0), 0- (1,7,—1), R = (3, 2, –4) (Give your answer using…

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

Q: Solve for the general and particular solution using Laplace Transform y" + y = v2 (cosvEt) %3D y(0)…

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Q: 2. Find the unit vector in the direction of

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Q: Show that (f) and () aoe invesse fondion ARgeboaically @ fix) fex) = " O f cx) = X- I X+5 g(x) = ニ

A: We have to show that f and g are inverse function.

Q: Hint: Multiply the ODE by the factor u = eS p(z)dr Use this result to find the I.V.P solution: y + y…

A: To solve the following problem

Q: Which of the following is equal to sec 2 x tan³x dx to obtain the correct indef inite integral?

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Q: b. g (x) 2.

A: Given query is to find the derivative of the expression.