Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1 In |Vz² + 1+ x\+ +c Vx² + 1 x² + 1 Option 4 Option 2

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A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

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Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

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A: We have to integrate.

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A: We will use the given formula of volume to find the volume of the tetrahedron.

Q: s (e² + 4 cos 8z dz 1+sin 8z,

A: A detailed solution is given below

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Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 9y = 18t - 18t…

A: Let's find.

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Q: e following: (x) = 2 + x – x², [a,b] = [0,3], p = 1 %3D he two conditions of the IVT are satisfied.

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Q: 0,81 - 0.3104 + 27, wheret is the time in hours after When a factory operates from 6 AM to 6 PM, its…

A: Given problem:- When a factory operates from 6 AM to 6 PM, its total fuel consumption varies…

Q: Suppose f( – 1) =7, f'(– 1) = 4 , and g(x) = r°f(x). The tangent line to g(r) at z = 1 is given by Y…

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Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. u - 2 du

A: answer is in next step

Q: S sin x In(cosx) dx

A: To evaluate the integral: I=∫sin x(ln (cos x)) dx Substitute  cos x=t⇒-sin x dx=dt⇒sin x dx=-dt

Q: .f (x) = cos(-x) .f(x) = sin(8x) .f (x) = 2 sin(-5x) a) f'(x) = 2 sec(2x – 1) tan(2x – 1) %3D - b)…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

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Q: Quest An exercise machine with an original price of $970 is on sale at 10% off. a. What is the…

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Q: Use the binomial theorem to expand the binomial expression below and state the range of values of x…

A: I am attaching image so that you understand each and every step.

Q: (29.4) Determine whether the series (-1)"-1. n2 + 1 is absolutely convergent, condi- n=1 tionally…

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A: We have to consider the given statement is true or false

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Q: 6- 5- (3,4) (0,3). (3, 2) (-2, 1); (3,0) 3 12 :1 2 4 6 Find the limit lim f(x) lim f(x) а. b. lim…

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Q: Determine if the following statement is true or false. The lines L, and L, are skew. L:x = 7+ 2t, y…

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