The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. X 7 0 1 a y 1 20 1 5 50

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A: The prove of the identities (a), (b) and (c) are given below.

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Q: a. Domain: b. Range C. f(-3)= d. f(0) = e. f(x)=4 when x=_ f. f(x)=0 when x =

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Q: Let ƒ : R → R³ be defined by f(x) = (x, −9x², 3x). Is ƒ a linear transformation? a. f(x + y) = f(x)…

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Q: A man sold two tables for $96 each, gaining 20% on one and losing 20% on the other. What is his…

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Q: A natural cubic spline S on [0, 2] is defined by: so(x) = 1 + 2x − x³ 0≤x≤1 8₁(x) = 2 + b(x - 1) +…

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Q: Let f: R² → R be defined by f((x, y)) = -8-8y +6. Is ƒ a linear transformation? a f((₁, ₁) + (12,…

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Q: Problem 5. Consider the tree drawn below. a b e f i a. Suppose we designate vertex e as the root.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we we will solve first three…

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Q: 6. Use the intermediate value theorem to show that the function has a real zero between the two…

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Q: Question Which of the following statements applies to the convergent alternating series (−1)n+1 n+4…

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Q: If f'(x) = g'(x) on the interval (a, b), then f(x) = g(x) on (a, b). O True O False

A: We find counter example of f(x) such that f'(x)=g'(x) but f(x) ≠g(x) on (a,b).

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Q: Suppose T: R³-R² is a linear transformation. Let U and V be the vectors given below, and suppose…

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Q: S1 0 0 1 1-4 06 36 S2 0 0 -4 1 6 P 1 0 -1006 54 30

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Q: Distance (m) B6U2 0864 18 16 14 12 10 2 Distance Vs. Time

A: d) 8 meters are traveled in 1.5 minutes. ans: 1.5 minutes

Q: What is s.t in the solution?

A: It is ' such that' .

Q: 8. Create a cubic polynomial inequality for which x = 0 or x ≥ 3 is the solution. Explain your…

A: A very good problem of a different type. Note that the idea lies in a cubic polynomial. We have to…

Q: Question 8 Write the answer in function notation AND as an ordered pair. Let W (p) = 4p2 - 9p+1 a.)…

A: Answer  W(p)=4p2-9p+1 Now ,  a)Ans:- At p=5 W(5)=4(5)2-9p+1=56 W(5)=56 Hence in ordered pair  (5,56)…

Q: b) Use the result in item (a) to determine whether there is a function y, and z such that ox(x, y,…

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