LEARNING TASK 1: Determine the antiderivatives of the following functions: 1. f(x) = (x+1) 100

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Q: Let ​f(x)=x2−5 and ​g(x)=4−x. Perform the composition or operation indicated.   (1/g) (2) =…

A: In your Part 1 we can't  understand what are you want asking so i find both composition or product…

Q: Find an antiderivative for each function when C= 0. 1 5 a. f(x) b. g(x) = X 5 с. h(x) %3D 1 -—

A: Here given that f(x) ,g(x) and h(x) and we find antiderivative of these all function. Here i…

Q: QI: From the following table find the value of f'(1.2), f'(1.7) andf'(2.1) X y 1.4 4.055 1.6 4.953…

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Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: which shows the function f(x)=7x after a vertical translation down 4 units

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Q: How does y = 3/(x - 2) + 1 differ from the parent function y = X

A: Parent function y=√x We got a new function after modified parent function.. y=3√(x-2)+1 Now…

Q: Find all antiderivatives of the following function. f(x) = - 11x f(x) dx=(Use C as the arbitrary…

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Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

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A: Solution

Q: Let f(x) = 4x - 8x. Find F(x), the antiderivative function, if F(1) = 3.

A: Let f(x)=4x2-8xTo find the antiderivative function F(x)if F(1)=3

Q: Find an antiderivative for each function when C = 0. 9 а. f(x) %3D V1-x? 1 1 c. h(x) = 1+ 100x? b.…

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Q: -100 dr 6. (3r° +x+2) dx 7. 8. /1,000 dr 9. 10. /VF dz

A: Antiderivative:  A function F is an antiderivative of the function f if                    F'(x)=…

Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity

Q: [Numerical Integration]. Show manual calculation. The force on a sailboat mast can be represented by…

A: Given, F=∫0Hf(z) dz f(z)=200z5+ze-2zH Where H=20 we have to compute F by using Trapezoidal and…

Q: (1) Find domain and range of each function (i) f(x) = 1 – x² (ii) f(x) = 1 – Vx %3D

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Q: Emply inverse interpolation to determine the value of x that corresponds to f (x) = 0.85 for the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Consider the function h(x), for which h(2) = -6 and h'(2) = 1. %3D h(x) Find f'(2) for the function…

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Q: Find (x) and state the domain. Then evaluate fg for the given value of x. 3. f(x) =-x³^,g(x)…

A: composition of function