Q4. Choose two of the following: (a). If x = t - t² and y = t-t³. Find 2 by using Chain Rule. dx² (b). (c). Find the linearization of f(x)=√1 + x at x = 3. (2a + If f(x) = (2a + x² x², x ≥ 1; (2x + b x < 1 } and b, where a, b ER. is continuous at x = 1 and f(-1) = 5 find a

Q: 1. The y-intercept of the function y = 3(x + 19)2 – 27 is а. 334 b. -27 С. -8 d. 1056

A: We will find out the required value.

Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

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Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

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Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

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Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

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Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: 5. For f(x) = 2x - 1 and g(x) = x² - 2x, find: (A) f(-2) + g(-1) (C) g(2) f(3) (B) f(0) g(4) f(3)…

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Q: Let (-1,(-1) = 2), (0, ƒ(0) = 5) and (1, f(1) = 6). Which one gives quadratic spline functions?…

A: Given, -1,f(-1)=2,(0,f(0)=5) and 1,f(1)=6

Q: 1. Find the fixed point(s) of the function g(x) = 32³-62²-1+4 on the interval [0,4]. (Answer: √2/3,…

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Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: 2. Where does the function g(t) = t²+2t-8 t²-4 discontinuous?

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Q: 1. Find the domain of f(x) = v2 + 5.x – 3x².

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: The change of the energy efficiency function ( P ) of a factory with respect to uj and u2

A: In this question, we have to find the maximum value for the two-variable function. Here we use the…

Q: Write the domain in interval notation. 3) y (t)=√√√8-t 4) f(x) = x - 4 x-5

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Q: 16. Given the functions f(x) = (x - 3)² and g(x) = -x + 2. Which function represents the combined…

A: Let f(x) and g(x) be two polynomial,  then the difference f(x)-g(x) is given by simply subtract the…

Q: Find the value of a, if b = 10 so that the general solution of this ordinary differential equation…

A: Differential equation.

Q: Assume the point (2,7) is on the graph of y=f(x). Determine the value of n in the following…

A: If a point (a, b)  is on the graph of then

Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: The functions f(x)= 4x+a and g(x)= 36 – 4x are such that fog(x)=g•f(x). Find a in terms of b. a=--b

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