Suppose y is inversely proportional to the square of x. Sketch a graph of this relationship for x> 0, given that y = 18 when x = 4. Include a point for x = 12.

Q: What is the value of x on the function y = arcsec(x) whose slope is A) ±1.272 B) ±1.321 C) ±1.414 D)…

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Q: Suppose that y varies inversely as the square of x, and that y=5 when x=10. What is y when x=12?…

A: Given,  y varies inversely as the square of x

Q: Let y represent the temperature (in °C) of an object in a room whose temperature is kept at a…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

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Q: If y varies directly as x, and y 7 when x= 5, find y when x= 10.

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Q: Suppose that y varies inversely as the square of x, and that y=5 when x=16. What is y when x=6?…

A: Given, y varies inversely as square of x              ⇒ y ∝ 1x2

Q: assume the y varies with x. if y= -4.8 when x= -1.6, what is the constant of variation?

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Q: Given the following graph, determine: a) the average rate of change between - 5sxs-3 b)…

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Q: Graph the following equations and explain why they are not graphs of functions of x. a. ly| = x b.…

A: As per bartleby guidelines only one question is answered please upload the rest separately. The…

Q: If y varies directly with x and y is 12 when x is 9, what is x when y is 4?

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Q: Suppose that y varies inversely as the square of x, and that y=4 when x=2. What is y when x=6? Round…

A: y ∝ 1x2 y = kx2 k = yx2         ............................(1)

Q: y = (e* + 1)*

A: We have, y=ex+1x On taking logarithm on the both of the side, we get the result as logy=xlogex+1…

Q: Find the slope of the line that is tangent to the graph of f(x) = x° + 2 x³ – x² + 2 at x = 1. а) О…

A: The objective is to find the slope of the line that is tangent to the graph of f(x) at x=1.

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

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Q: The value V of a machinet years after it is purchased is inversely proportional to the square root…

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Q: find the constant of variation for each of the stated conditions. y varies directly as x and…

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Q: If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what…

A: Given that f(x) is the slope of a trail at a distance of x miles from the start of the trail.

Q: For the function f(x) = 4x² + 2, the slope of the tangent line at x = 3 is a m = 32 b m = 4 m = 8 d…

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Q: find the constant of variation for each of the stated conditions. y varies inversely as x, and y =…

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Q: If up is measured as being positive, the height of a ball rising after being thrown has a rate of…

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Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 (a) f'(0) (b) f'(1) (c)…

A: Given, The graph of function y = f(x).

Q: Which table is related to the parent function of y= z?

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Q: Given that h is inversely proportional to x and the fact that h = 15 when x = 21, determine the…

A: Given h is inversely proportional to x. So, h∝1x. i.e. h=k1x Where k is constant.

Q: Graph the line that represents a proportional relationship between ddd and ttt with the property…

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Q: If the constant of variation of h varies directly as k is 11, then what is h when k is 77?

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Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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Q: Based on the scatterplot predict the value of y when x = 30 -mittens 10

A: From the scatter diagram, the slope of the regression is downward slope   As slope is downward,…

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

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Q: Find the slope of the function at (1,-1) x^(2/3)- y^(2/3)- y= 1 m=? Round to 3 decimal places if…

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Q: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

Q: find the constant of variation for each of the stated conditions. y varies directly as the cube of…

A: y varies directly as the cube of x

Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when…

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: Suppose y is inversely proportional to x. Explain what happens to y if: a x is doubled b x is…

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Q: Suppose that y varies directly with x, and y= 16 when x=-2.

A: Given that y varies directly with x.

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

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Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

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Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: If f(x)  is the slope of a trail at a distance of miles fromthe start of the trail, what does ∫35…

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Q: Determine the percentage rate of change of f(x) = O f(15) 0.9x at x = 15 and x = 30. %3D %3D f(30)

A: Introduction: - The rate of change function represents the rate at which one quantity changes in…

Q: Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b)…

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Q: find the constant of variation for each of the stated conditions. y is directly proportional to x…

A: It is given that,  y is directly proportional to x and inversely proportional to the square of z.

Q: If y varies inversely as x, and y=4 when x=12, find the constant of variation k, and then determine…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: find the constant of variation for each of the stated conditions. y varies directly as x and…

A: We have to find the value of constant of variation if y varies directly as x and inversely as z and…

Q: find the constant of variation for each of the stated conditions. y varies directly as x, and y = 60…

A: To Determine:  find the constant of variation for each of the stated conditions. y varies directly…

Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: find the constant of variation for each of the stated conditions. y varies directly as x, and y = 8…

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Q: Use the given graph to estimate the value of each derivative. y= fix) 0. (a) 1"(-3) (b) f'(-2) (c)…

A: (a) Approximate a tangent line to the given curve at the point x=-3 The slope of the tangent line is…

Q: Assume that y varies directly with w and inversely as x. If y=4 when x=12 and w=8​, find y when x=16…

A: Given :  y varies directly with w and inversely as x  If y=4 when x=12 and w=8​, find y when x=16…