A jet engine (derived from Moore-Greitzer) can be modelled as the following ODE: (x,00) (-1,00) - 1.5x (0)2-0.5x, (3), (0) ***)(*)-(:) 3x, (1) - x₂ (1) where = 62. Use Euler's method with step size 0.1 to fill in the following table: it jo 0.1 0.2 What is the approximate value of x₂(0.2)? Write your answer to three decimal places. x₂ (1)

Q: Let h(x) = f(x)g(æ). If f(x) -3x? – 4x + 2 and g(x) = -x² + 3x +2, what is h' (-1)? Do not include…

A: Given, h(x) = f(x)g(x) f(x) = -3x2 - 4x +2 g(x) = -x2 +3x +2  We have to find h'(-1)

Q: The formula for a function y= f(x) and the graphs of f and f' are given. Find a formula for f-1 y=…

A: Given function is f(x)= x^7 +2

Q: 1 Po(x) = v2 3 P1(1) = : %3D "V 2 PĄ(2) = (3=² – 1) V P3(x) = ; (5x³ – 3r) /5 Write down the…

A: We will find out the required values.

Q: After studying the population growth of Gotham City in the last decade of the 20th century, we have…

A: Given:The population function is given by,        where,time in years after population in…

Q: Which of the following Functions are inverses to each other: Vx+8 A- f(x) = (4x – 3), g(x) = 7. B-…

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Q: Find a formula for the inverse of the function described below. A size 12 dress in Country C is size…

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Q: f(x) = x²e²

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Q: Find a formula for f(") (x) if f(x) = e-10: fln)(z) =[]

A:

Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: (2+31) Simplify (7-4i) 16)

A: We have to simplify the following -  (2+3i)(7-4i)

Q: State the parent function of the equation f(x) = 3Vx +2+1 and the transformations that we applied. 5

A:

Q: Since it is known that x2 + y? = c², write the expression below in terms of c2 -2(x8+ y®) + 28(x6+…

A: -2(x⁸+y⁸) = -2{(x⁴+y⁴)² - 2x⁴y⁴} = -2{(x²+y²)² - 2x²y²}² + 4x⁴y⁴ = -2(c⁴ - 2x²y²)² + 4x⁴y⁴ = -2(c⁸ -…

Q: Graph the function h(x) =2 ln(x+3) as a transformation of f(x) =lnx

A: Given the function: hx=2lnx+3 baseline function : fx=lnx

Q: If Mx (t) = X X-t find E(X) E (x²) and var

A: The moment generating function (MGF) is given as follows:

Q: Given f(-19) = -17, g(19) = 13, f'(19) = questions below: a) k(x) = 8f(x) - 4g(x) k'(-19) = b) k(x)…

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Q: Suppose that f(x) and g(x) are two functions and we know that: f(– 2) = 3 g( – 2) = 5 f'(– 2) = – 1…

A: We have to find

Q: .e- P(x)= %3D 1. Let and let =10. Find P(9)

A: Find the value of P(x) at x=9

Q: Suppose that f'(x) = 3x² + 3 – 1 and f(1) = 3. Find a formula for f(x) and then %3D %3D use this…

A: Topic- integration

Q: Let f(x) = 3 + 2(x-3) + 0(x-3), as x→3 and let g(x) 2 B. g (3) = ² 3 ·g is defined and…

A: We will find the required.

Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

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Q: Suppose f(x) = (x² + 1) · g(x), where g(æ) = mx + b. Find the slope, m, of g if f(0) = 3 and f' (1)…

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