Suppose f(z) has the following properties: f(6) = 3 f(10) = 8 10 f(z) dz = 12 10 [" I f(z) dr = 10 10 [™ 2² ƒ(2) dz f(x) = 13 Evaluate: 10 [" ( − 42 − 3)ƒ' (2) dz = [

Q: [1] The forward-difference formula can be expressed as h h2 f'(xo) = [f (xo+ h) – f(xo)] f"(xo) f"…

A: Consider the provided question, The forward difference formula is given as,

Q: 8. Give the equation of the tangent line to the graph of the function f(x)=x√√/25 - x² in the point…

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Q: 1. Find the general form of f if f'(x) = 4(x).

A: We have to find the general form of the function f if f'x=4 fx. Rewriting the given equation, f'x=4…

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Q: Consider the function f(x) with the following graph: 2 Compute f'(-1). 3. 2.

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Q: Suppose that |?′(30)|=1.8|f′(30)|=1.8 and ?(30)=52f(30)=52. Fill in the blanks (including units…

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Q: Find the 200th deriunte of f(x) = Xe X-

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Q: Find any inflection points for ?(?) = ? 3 − 3? 2 + 1 Use f

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Q: Determine f '(x) for the following functions

A: Given, g. fx = xln2x3  h. fx = cos2x2+4   We have to find f'x

Q: Differentiate the following function. -?+ 9t +5 9(t) = ? - 2t +4 gʻt) = D

A: Given: g(t)=-t2+9t+5t2-2t+4

Q: Which of the following functions is entire? For each, justify. 1. f(z) = 2(32) 2. f(z) = (x² - y²) -…

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Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: Suppose a car drives north on I-95 starting from Miami. Let f(t) denote thenumber of miles from…

A: f(5) − f(3)/5 − 3 represent displacemennt/time taken from 3hours to 5 hours i.e. 2 hours

Q: Calculate L6 for f(x) = \6x + 1 over [1,3]. (Give your answer to three decimal places.)

A:

Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

Q: Determine r′(8) to the nearest tenth when r(x)=90x5 / 2x (Do not include "r′(8)=" in your answer.)

A: We have to find derivative of r(x) at given point.r(x) is given by:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: Determine whether the following functions are even, odd or neither. (a) f(t)=r² +cost 3t (b) f(t) =…

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)-…

A: To show:- f''x ≈112h2  -fx+2h + 16 f(x+h) -30 f(x) +16 f(x-h) - f(x-2h)

Q: P=S/(S+F) Express S in terms of F and P

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…