Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c. g(g(0))

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x²…

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A: Option D is correct

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A: I have performed integration by parts for the part a) and for the rest I have mention the u and dv…

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A: Area

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Q: 21 · 8* cos (8*) dx =

A: ∫21*8xcos(8x)dxSubstitute u=8x→dudx=ln(8)*8x→dx=1ln(8)*8xdu=21ln(8)∫cos(u)du

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A: Note:  In question 3, the function given is incorrect. So, i am solving the question 4. Question - 4…

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A: Given  u=-2i+4j-5k & v=2i-4j+5k

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A: Given that,

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Q: if x 2 a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)…

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Q: Q5. Which of these statements is False А. (а?)3 — а6 в. а?а? — а 5 2.3 a a2 С. a3 = a¬1 D. a + a' =…

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Q: 4. x = VI - i , y = t³ – 3t

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Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: 1. Find the solution to the system 4x - Зу +3z %3D 0 2х — Зу + 2z%3 0 бх — 12у + 7z 3D0.

A: “Since you have asked multiple Questions, we will solve the first question for you. If you want any…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt 0.

A: this is a problem related to vector integration. Based on the general formula and concepts we will…

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Q: 8. Determine whether the integral is convergent or divergent. If it is convergent, evaluate it.…

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Q: 12 71. (-5-81) 1-4 1000

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Q: he conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's…

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Q: |(sin5 (x)) dx

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Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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Q: 22. Find the function for a parabolic arch that has a base length of 24 feet and a height of 36…

A: Equation of parabolic curve is given and in form X^2 = 4aY

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Q: dx 4 XVx - 4

A: We need to find the solution for the given  integral by trigonometric substitution.

Q: 1. Find the distance from the point S(2,-3,4) to the plane x+2y+ 2z =13

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: 5. For each integral, state u, du, dv and v you would use to Integrate by parts a) fln(1+x) dx…

A: These integrals are solved integration by parts.

Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x1½ В. — 0.5х-1Vx-1 С. -0.5 1…

A: This is a problem related to differentiation of the function. Based on the general formula and…