Suppose f is a one-to-one function with domain A and range B. What is the domain of f¹? 1. Cannot be determined from the given information. 2. B

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Q: b)lim X118 5x3+x2 3- 15x2

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Q: Express the equation in logarithmic form. 1 wlr -4 = 81

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Q: 6. Give an example to show that not every function is one-to-one. Explain your reasoning.

A: The objective of the question is give an example which state that every function is not one-to-one.

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→∞0. 3x5+7 2 X-X+X+7 f(x) = a. lim 5…

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Q: For #13-20, f(x) = x¹/³(x-4) 13. Find all x-intercepts (also called zeros or roots) of f 14. Find…

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Q: Consider the integral 2 [²-10z² ln(z) dz If the integral is divergent, type an upper-case "D".…

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Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

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Q: Using the definition of limit (so, without using Arithmetic of Limits), show that i. lim n →∞ (4 + n…

A: Given limits, i) limn→∞ 4+n2n ii) limn→∞ 2n+3n+1

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Q: 6 When a theater owner charges $5 for admission, there is an average attendance of 180 peopre. For…

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Q: Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.)…

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Q: If z = x² - xy + 8y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: We can evaluate dz by using the following formula dz = z x dx + z y dy

Q: given point. 24. y = x + tan x, (TT, TT)

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Q: · What is the equation of the tangent plane to the surface ƒ(x, y) = y²e²−² + x²y at the point…

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Q: How many horizontal asymptotes does the following function have? cos(x) X f: RR, f(x) = ‹ Select one…

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Q: DIJ х2 -3x+7 х-2

A: Using long division we divide the expression

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Q: Use f(2)=9z+12 and g(z) = 2z - 15 to find (fog)-¹(z) 1. (Jag) ¹(2)=(-123) 18 2. (fog)(2)- 3.…

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Q: 7. A carpenter is building a rectangular room with a fixed perimeter of 54 ft. What are the…

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Q: 14. Simplify the following functions using the properties of logs. a) f(x) = ln (e5x) - 3x + 5 ln(1)…

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Q: 127. D = {(x, y) |x² + y² ≤ 4y}

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Q: Suppose the inverse of a matrix  A  is a matrix  B, and vice versa, the inverse of  matrix  B  is…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

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Q: Suppose that you perform integration by parts on the integral have set u = ln x and dv Select one…

A: The given integral is: I=∫x3lnxdx   Use the integration by parts; ∫udv=u·v-∫vdu And The Power rule:…

Q: QUESTION A3 Calculate the test statistic, Z for the population mean.

A: The test statistic is a z-score (z) defined by the following equation. z=(p−P)σ  ,  where P is the…

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Q: Show that the equation x3 - 15x + c = 0 has at most one solution in the interval [-2, 2].

A: The given equation is; x3 - 15x + c = 0

Q: dors de lim (3x - √90c²-5x+7 84∞

A: Topic - Limits We are given limx→∞3x-9x2-5x+7

Q: 2x x²-1 For #5-12, f(x) = 5. Find all x-intercepts (also called zeros or roots) of f 6. Use a test…

A: Note:as students asked 11 and 12 only so i have solved this question.

Q: b. use the definition the derivative of derivative of the f(x) = 5-4x + 3x² to find

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Q: Problem 4. number, using the following steps. In(x) xxx0.01 (a) Compute lim (b) Compute lim In(x)…

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Q: 33 What value of 6 would give the following function f(x) = x³ + bx² − 5x + C Select one…

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Q: Given the augmented matrix 0 k-1 k+1] Select one alternative: ○ k = 1 and k‡ -1 Ok #1 ○ k = 1 and…

A: Given augmented matrix:- 10|       10k+1| k+1

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

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Q: use the definition of the derivative derivative of the f(x) = 5-4x + 3x² to find

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

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Q: Prove the identity. (1+sin.x)² cos²x Note that each Statement must be based on a Rule chosen from…

A: CONCEPT USED Pythagorean trigonometric identities in trigonometry sin2x+cos2x=1socos2x=1-sin2x…