The table below gives the results of an online calculator showing how far (in feet) a vehicle will travel while braking to a complete stop, given the initial velocity of the automobile. Braking Distance MPH Distance (feet)

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A: Given data

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A: A company's marginal cost is given by the function MC = 300-2x. Find the total cost of increasing…

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A: Here we will first take the log on both sides then we will solve it. So on solving this we will get

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A: The profit function is

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A: To find the equation of a sphere with center (h, k, l) and radius r, we can use the following…

Q: If f(x) = √ 8x + 3, compute the first, second, and third derivative of f(x). f'(x) = f"(x) = = f"(x)…

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Q: Graph the equation. 2x+y=-2 A. O B. ~ D.

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Q: X^4+y^4 =82 find the equation of the tangent line at the point (x,y)= (3,1)

A: Explaination of the answer is as follows

Q: 4. Which graph shows an angle of 300° in standard position? 60 60 OTT

A: We have,θ = 300°

Q: Find the derivative. f(x) = 2x5 + 5ln(x) — 6e² +4 f'(x) =

A: The given function is,

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Q: Integrate: [2 200e0.02z dz + C

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Q: Evaluate ſƒƒ£y² dV, where E is the solid hemisphere x² + y² + z² ≤ 9, y ≥ 0.

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Q: The proportion of items in a population that possess a specific attribute is known to be 0.30. a. If…

A: Sample size = 100Sample proportion = 0.35Population proportion= 0.30Sampling error = sample…

Q: Sketch a graph of z=t+2, y=t+3. -5-4-3 4 Oright to left left to right 3 2 My 1 23 -3 7 Clear All…

A: We need to sketch the graph of the parametric equation given by :

Q: Suppose that f(x, y) = √√/5² – æ² – y² on the domain D = {(x, y) | x² + y² ≤ 5²}. fr=S Then the…

A: We have to solve the given double integral.

Q: The weekly demand for Xbox Math-Hero video games is given by p= x3 120x + 350 where x is the number…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given that the function is    f(x) = x3e(-8x) Here we have to find the critical values of the given…

Q: Problem 14. Find the equation of the tangent line to the graph of √x(x² +1) at x=1.

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A: The quarterback of a football team releases a pass at a height of 5 feet above the playing field,…

Q: True/False. Which are true and which are false. Part. a. sin(5x) 5 sin(2x) 2 Part. b. Part. c. Part.…

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Q: Solve and write interval notation for the solution set. Then graph the solution set.

A: The inequality is given as

Q: -{ e-2, Cos x, x 0

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Q: -4-3 2 2 + D -2 2 ||| At the point shown on the function above, which of the following is true of 0…

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Q: W) Find the definite integral.

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Q: dy Use implicit differentiation to find dx for xsin y = cos(x+y).

A: As per guidelines, We are authorized to answer one question at a time, since you have not mentioned…

Q: If sec 8= 0 what are the possible measures, in radians (to 4 decimal places), of

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Q: Consider the following piecewise function: (2x+1) ex-2, x≤-2 Sin (x²-3), x>2 f(x) =

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Q: The x =5 will be (parallel or perpendicular) to the yz-plane.

A: In a 3D cartesian coordinate system, the YZ plane is defined by the equation…

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Q: (s) [₂ x sin(x² - 1) cos(x² − 1) + 1 dæ -1

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Q: Find the domain of the function. f(x)= = x +4 1-X The domain of the function is. (Type your answer…

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Q: Solve the following system of equations: (1) 2x-3y+6z=8 (2)x+y-2z=3 (3) 3x-2y+4z=1

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Q: Use the graph of the function f shown to the right to find f(-1), f(0), and f(1). (-1) = _0) = 1)=

A: From the given graph it is clear that the graph passes through

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