Use f(x) = 4x − 5 and g(x) = 5 − x2 to evaluate the expression. - f(g(0))   - g(f(0))

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Q: Find the equation of the tangent line to y = 9e* at x = 2. (Use symbolic notation and fractions…

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Q: Find f+g, f-g, fg, f/g. Determine the domain for each function as well. f(x)=3x/x-9, g(x)4/x+6

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Q: 4-Evaluate sin-1 (-¹).

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Q: Y=x5e-3 ln x

A: Topic- derivative of a function . we are given , y=x5e-3ln x and we know that Product rule…

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A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

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Q: lim x to infinity (square root 4x^2+x-2x)

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Q: Find the local maximum of the function f(x), which is given in the graph below. 4 -3 Give your…

A: find the local maximum of the function from the given graph.

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Q: 2- Find the range of f(x) = √√x² - 4.

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Q: 9. 5 ( 47--1) dy

A: We know that ∫yn dy = yn+1n+1 +c   ; when n≠(-1) If n=(-1) then  ∫1y dy = ln(y) +c      , (Here c is…

Q: Evaluate the integral using the indicated trigonometric substitution. Note: Use an upper-case "C"…

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Q: A ladder 10 meters long is leaning against the wall of a house. The base of the ladder is pulled…

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

Q: 3. xy' = y + 2/ху ху У+

A: #3

Q: 1. Obtain the general solution of the given DE: (t² + 7st + 16s²)ds = −s²dt. The DE is homogenous…

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Q: The logistic growth function P(t)= = PoK Po+(K-Po)e-rot is used to model population growth, where Po…

A: NOTE: Refresh your page if you can't see any equations. . divide the numerator and denominator by…

Q: Given f''(x)=6x-6 and f'(-2) = 3 and f(-2) = - 3. f'(-2) = 3. Then solve for C, giving you the first…

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Q: If point Q (-3/5, y) is in the 3rd quadrant and also located on the unit circle, then y=?

A: Topic = Circle

Q: 1 5-Prove that cos (tan-¹ x) = √7X²' 1+x² -∞0 < x < ∞

A: The proof of the given inverse trigonometry problem is as follow.

Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

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Q: Question Find the average rate of change of the function f(x) = −3x² - 4x + 2 between x = -1 and x =…

A: Given function f(x)=-3x2-4x+2To find: average rate of function between x=-1 to x=1

Q: 17. = (t+1) ² to dt

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Q: Consider the following. y = x³ 3x² + 6 Evaluate y when x = 1. y(1) = Find y'. y' = Evaluate y' when…

A: Given, y=x3-3x2+6

Q: (b) -6 -4 -2 y 4 2 -2 2 4 6 x ①

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Q: Find the average rate of change of the given function on the interval [4, 7]. h(z)= 3x² + 2x - 2…

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Q: Find the points at which the following function is discontinuous. f(x) = = 8x + 4 -4x²+36 2x² - 6 if…

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Q: Step 4 After integration by parts we have Je e38 cos(48) de = c || Submit Skip (you cannot come…

A: Solved below.

Q: If log (64) = 2, then x = If log (256) = 4, then x Number Number

A: Topic = Algebra

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Q: dy dx + 2y = f(x), y(0) = 0, where f(x) = 1, 0≤x≤

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Q: QUESTION 3 Let f(x)=√x x and g(x)=x² Find gof(x) and state its domain.

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Q: lim h0 lim b-00 ((x + h) - x² h √x + h - vx X h

A: Please see the below picture for detailed solution.

Q: Find the local minimum of the function f(x), which is given in the graph below. -8 Provide your…

A: Solution

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁= 3 and x₂ = 5.…

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Q: Find the slope of the second equation. 4x - 9y = -9y = y ])x+ So the slope of the second equation is…

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Q: f(x) = x - 4; g(x) = Determine k so that f(x) = g(x), for all x. A. -8 B.-4 k if x=-4 if x = -4 C.4…

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Q: Is the function, whose graph is drawn in Fig. 7. continuous at the following values of x? Figure 7…

A: To solve the problem of differentiability by seeing the graphs of the function.

Q: Let f(x) = 1 x-2 Find and simplify the difference quotient: f(x)-f(a) x-a

A: Given that:  f(x) = 1/(x-2) . And we find. ( f(x)-f(a))/(x-a).   We know that l.c.m.of : 1/x +1/a =…

Q: (Technology Permitted) The position of a particle moving on a horizontal line is given by…

A: Explained below