The time traveled, t is the inversely proportional to the rate, r, traveled, and the constant of proportionality is 3.5. The function is  Find the function of a is inversely proportional to the square of p.

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Q: Suppose that y is directly proportional to x.  If y=6 and x=3, find the constant of proportionality…

A: Suppose that y is directly proportional to x. If y=6 and x=3, to find the constant of…

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Q: Let y be inversely proportional to x. If y=12 when x=3, find the constant of proportionality k.…

A: We have to find k

Q: For a host - parasite relation, it was determined that when the host density (number of hosts per…

A: y = 1000 x10 + 43 x,where,y = No. of hosts that have parasite,x = No. of hosts per unit area

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A: Given : y is directly proportional to x.   To find the constant of proportionality k, if y = 48.6…

Q: The rate at which a ceratin disease spreads is proportional to the product of the percentage of the…

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Q: If y is inversely proportional to the square root of x and y is 2 when x is 9, what is when x is 4?

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Q: Graph the line that represents a proportional relationship between d dd and t tt with the property…

A: Given :  t = 3 d = 8

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Q: Find the average rate of change of g(x) = −3x^2+2 from x = −5 to x = −1. Simplify your answer as…

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Q: For a certain manufacturer, the revenue obtained from the sale of q units of a product is given by…

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Q: Find the average rate of change of g (x)=x´ + 2x+2 from x=2 to x=7. %3D Simplify your answer as much…

A: The given function,   g(x)=x2+2x+2 from x=2 to x=7

Q: The relationship between y and z is given by the formula: z=y4-1.Are both quantities functions of…

A: z=y^4 -1 . For one value of y, there is only one value of z. So z is a function of y.

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: 1. The rate of change and when 0,xo = 3 t= when =47 is proportional to When What is the value of t =…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Given the revenue and cost functions R=36x-0.3x and C= 4x + 13, where x is the daily production,…

A: topic - functions and rate of change

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Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

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Q: Assume that r varies directly as P. what is the constant of proportionality if R equals three when P…

A: Given r varies directly as p . we find the constantof proportionality if r ⊂ 3 and p=15

Q: proportional

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Q: If the rate of change of Q is inversely proportional to Q (where Q > 0), and if Q(0) = 250 and Q(2)…

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 740…

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Q: WHAT V

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Q: Suppose that Q varies directly with x and inversely with y. When x=5 and y=6, Q=13/12. Find Q if x=9…

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Q: Find the average rate of change of the function f(r) = - r+ 5x + 2, from x = 2 to x = 5. Average…

A: Given that: f(x)=-x2+5x+2

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

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Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 468 when…

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Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

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Q: Are the functions f= O(g) and g= O(f) true if the positive functions f(x) and g(x) increase at the…

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Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

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Q: 1. y varies directly as x with a constant of proportionality of 16.

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Q: Suppose that y is directly proportional to a. 1) Find the constant of proportionality, k, if y =…

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Q: Given the function f(x)=3x2+2x+2   find the average rate of change of f on [x,x+h]

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Q: Q.3. The rate at which a body cools is proportional to the difference between the temperature of…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.