Differentiate the function. y = In(|5 + t - t31) y' = ||

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A: Given:       ∫sinxcosxex dx       =∫tanx exdx Integration by parts Formula:       ∫u dv=uv-∫v du

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Q: 2 Let f (a) - >-4. (a) Find f (z), the inverse of f(z). (b) Determine the domain and range of f(z).

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A: Given problem:- Find sets of parametric equations and symmetric equations of the line that passes…

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A: Given function f(x)=x    if  x<18    if  x=12-x2  if  1<x≤2x-1   if   x>2

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Q: Find the vector v with the given magnitude and the same d Magnitude Direction ||v|| = 31 u = (0, 5,…

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Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x>0

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A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the…

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Q: 3.S(1 + e2x)5e2x dx

A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

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Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

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Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 9" n=1 Then determine whether…

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Q: HwE valuete xg JA ,Rvis ,enclosed between y= JA , R xis 8 Xig=/X 2 » X= 2 and X= 49 11 12 し

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Q: Find all asymptotes of the curve x2 + 3xy + 2y2 + 3x – 2y + 1 = 0 ?

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Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

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A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters.…

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A: (36.125)10 = (100100.001)2   a. (36)10 = (100100)2

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Q: Consider the following. u = (3, 7), v = (4, 6) (a) Find the projection of u onto v. (b) Find the…

A: We can answer both the question in the following steps.

Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

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Q: 10. Find f if f"(t) = 2/Vt, f(4) = 10, f'(4) =7. %3D %3D

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: II Evaluate the following by simple substitution: (x+5x²+4xY X-1 2. S sin24xcos4xdx

A: 1.∫x3+5x2+4xx-1dx Let x-1=t ⇒dtdx=1⇒dx=dt So, x=t+1 Now x3+5x2+4xx-1=(t+1)3+5(t+1)2+4(t+1)t…

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Q: 6. A firm estimate that its daily cost function of producing and selling x items is C(x) = x³ – 6x²…

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A: Given: y=-x2+5cos2x3

Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 S(-u° -2u7 - P)du Match the integral expression…

A: Solving the problem by finding the proper substitution.

Q: Select the correct graph of y = sinx, y = 0.2, and y = - 0.2. Figure 1 Figure 2 651 Figure 3 Figure…

A: Here, the given curves are : y=sin x, y=0.2, y=-0.2

Q: The position function of an alien spaceship in a cartoon video game is represented by s(t) = t – 12t…

A: Given