The graph of a function f is given. Use the horizontal-line test to determine whether f is one-to-one. Is f one-to-one? O No O Yes C M

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Q: 29-32. Average and marginal cost Consider the following cost functions. a. Find the average cost and…

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Q: Evalute the following integral by changing to cylindrical coordinates. 36-x² 36-3x²-3y² 1.-²2. √x² +…

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Q: Differentiate f(x) = f'(x) = || x5-x + 1 x³ + 27 +3 X

A: d/dx [((x5 - x + 1) /(x3 + 27)) ]= 1/2 ((x5 - x + 1) /(x3 + 27)) (- 1/2) d/dx [((x5 - x + 1) /(x3…

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A: Suppose , y is the distance from the home and x is the distance from first base.Given that ,

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Q: 7 4+x is one-to-one. (a) Find its inverse and check your answer. (b) Find the domain and the range…

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Q: 2. The value of a copy machine is $9565 when it is purchased. After two years its value is $7680.…

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Q: Find #f dy dt dt if y= 2 u+u and u= 14 +5t.

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A: Let To show that  has a jump discontinuity at  by calculating the limits from the left and right at…

Q: Let f(x) = 2 √-1-x+2 if x -2 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: 2 1 -5 -43 -2 -1 A -2 2 3 4 5 Assume the graph continues in the indicated directions. The function…

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Q: 1. dx -ydy - y ² dx + xy dy =0 x = 2 y = 2 C = √3 or -| -3 ov - 3

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Q: Let g(x, y) = { 2² 3x if x #y if x = y (i) Show that lim (x,y) (0,0) g(x, y) = 0. (ii) Determine all…

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Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

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Q: The line LC²) = is (perpendicular) (neither) i (parallel) ii) (paralle 1) iii) (paNallel) i) to the…

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Q: If F(x)= = O F(0) F(3) O F(6) F(9) O F(12) X f(t) dt, where f is the function whose graph is given,…

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Q: If a rock is dropped from a height of 232 ft, its poistion t seconds after it is dropped until it…

A: Given :           The rock is dropped from a height of 232 ft.            s(t) =-16t2+232

Q: 11. xy"+y' = 0; y₁ = ln x

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Q: Use a linear approximation to approximate 8.4 as follows: Let f(x) = √x. The linear approximation of…

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) 5x²…

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Q: Given s(t) = 3t² + 6t, where s(t) is in feet and t is in seconds, find each of the following. a)…

A: Given s(t) = 3t²+6t, where s(t) is in feet and t is in seconds, find each of the following. a)…

Q: -5 -4 3 -2 -1 2 7 -2 2 3 4 5 The function graphed above is: Increasing on the interval(s) Decreasing…

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Q: 3. Consider the function f(x) = on the interval [1,9] (a) State the full Mean Value Theorem for…

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Q: Find the Maclaurin series of $1.² n=0 sin(t) to -dt.

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Q: 4. dx -ydy - y² dx +xy dy =D X = 2 y=2

A: Compare this equation with,So here we have

Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → 00. lim n→∞ i = 1 5…

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Q: Given h(w) Degree of h = 8 -0.016(4-2w)(-10-3w) (2w+7) answer the following questions: . The leading…

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Q: (i) If f(x, y) = sin (xy2) and x³ + y² = 2xy, find expressions for the partial derivatives of/0x and…

A: If , then to find the expressions for the partial derivatives  and the total derivatives  in terms…

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Q: 19 If f(x) = - f f'(x) = 0 3 t'dt then

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Q: Question: Consider: fex) = x+√√√x a) f'(x) Find f'(x) using the limit clefinition of the derivative…

A: Consider (a) To find  by using limit definition of derivative.(b) To evaluate .(c) To find the…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 66²x³ x³(2x4 + 3)² dx

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Q: Find the derivative of the function. y' = y = 1 ▬▬▬▬▬▬▬▬▬▬▬ 8 arctan(ex)

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: 6.3, Estimating Derivatives. longitude, x2 = 54.366669 and the Temperature. I at T= -(0.0003) x²²y +…

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