If y varies directly with x and y = 28 when x = 4, what is y when x = 3? Show all your work to receive full credit. %3D C. y A. y 7 y 3 D. y-21 3/7 B,

Q: How fast is the shadow of the balloon m

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Q: 2) If y is inversely proportional to the cube of x, find y when x =5, given y = 2 when x = 7. %3D

A: given y is inversely proportional to x3

Q: Kevin scored at the 65th percentile on a test given to 9960 students. How many students scored lower…

A: # Given, Kevin scored at the 65th percentile on a test     given to 9960 students.     Number of…

Q: Suppose that y varies directly with x, and y=20 when x=32. (a) Write a direct variation equation…

A:

Q: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

A: Given: dNdx∝1cscx.N

Q: ng to his calculations reds of dollars) t yea Ets 8)

A: Here P(t)=t3-16t2+25t+50         , (0≤t≤8) The inflection point is the point where F''(t)=0 Then at…

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Q: Based on the scatterplot predict the value of y when x = 30 %3D

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Q: the intensity i of light varies inversely as the square of the distance d from the light bulb.…

A: The intensity I of light varies inversely as the square of the distance d from the light bulb. That…

Q: The variable s is proportional to t, and s = 25 when t = 75. Determine t when s = 60.

A: Given, s is proportional to t. That is

Q: The length L of a metal rod is given in terms of the temperature T (°C) by L = 39.6 + 0.025T cm.…

A:

Q: Given the following find the rate for change between 4 and 7 of  f(x)=3x+2

A: To find rate of change between 4 and 7

Q: If A=5 x - 3x , find x. If dA = 4 and dx = 0.16. %3D Round your answer up to 2 decimal places.

A: Use differentiation method

Q: Find the value of x.Round to the nearest degree.

A: Question 11,Given,

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Q: If the units for x are feet and the units for a(x)are pounds per foot, what are the units for da/dx?…

A: To find the unit of the given question.

Q: Y varies directly with z and the constant of variation is -5. What is the value of y when z = 2?…

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Q: The cost C(x) , where is the number of miles driven, of renting a car for a day is 43 plus $0.50 per…

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Q: In order to write the weather report for the school newspaper, Jeremiah measured the amount of snow…

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Q: Find the value of x if ZL is the midsegment of A DNE. 20

A: To find the value of x :

Q: Suppose the relationship between Y and X is given by: Y = 50 + 3X By how much does Y change if X…

A: Given,   The relationship between Y and X is given by,   Y = 50 + 3X   The objective is to find how…

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A: Given,          dvdt=2tt2+1 and 120∫020dvdt

Q: Accuracy in successive relief is higher than in Causs Seidel

A: This is a problem of Numerical Analysis.

Q: Suppose that y varies directly with x, and y=3 when x 15. (a) Write a direct variation equation that…

A:

Q: If x is measured in meters and f(x) is measured in newtons,what are the units for  ∫0100 f(x) dx ?

A:

Q: 2. The intensity at which an object is illuminated varies inversely as the square of its distance…

A: Let the intensity of the light be N and the distance from the light source be d.  Then we have that…

Q: Given x = −24, y = 3.Find a direct variation model that relates y and x.

A: Given- x=-24 and y=3 To Find- A direct variation model that relates y and x.

Q: a. f(t)= et, cost, 0 2TT.

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Q: The figure to the right shows the velocity, 16 v (in feet/second), of a runner for 0<t< 10 seconds…

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Q: State the formula for the distance d between (x1, y1) and (x2, y2).

A: We have to find out formula

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Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

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Q: iez3 dz. ty z – i

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Q: A factory produces bicycles at a rate of 100+0.3t^2−0.5t bicycles per week (t in weeks). How many…

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Q: . If y is directly proportional to x, and y = 56 when x = 6, what is the value of x when y = 84?

A: Given: y is directly proportional to xy α xy=kxk is a  proportional constant

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Q: The voltage V across the resistor is 75 volts, the resistance is R= 7 ohms and the power of resistor…

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Q: What is the approximate value of x in the diagram below

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Q: State the multiple regression equation. ]+ OX + (O×2 Round to two decimal places as needed.)

A: From the given output, the intercept is 11.14, the coefficient of revenue is 0.68 and the…

Q: Suppose that y varies directly with x, and y=2 when x 16. (a) Write a direct variation equation that…

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Q: Consider a cylinder with a radius of 1cm and a height of 3cm. Find the change in the volume of the…

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Q: What is the approximate value of x in the diagram below?

A: Given: ∠B=90°∠A=25°AC=18  cmBC=x  cm

Q: (c) Predict the value of y if x = 1.7. (Round to the nearest tenth as needed.)

A:

Q: F(x)= -3x2+6   rate of change 4 to 6 2 to 4 2 to 5

A: To find the rate of change for the interval 4 to 6, 2 to 4, and 2 to 5.

Q: Write a general formula to describe each variation. v varies directly with t; v = 16 when t = 2

A: We have to write a general formula to describe each variation   We have the given information as v…

Q: find an approximate value of y 1

A: Given,        dydx=xy12 and x=1, y=1

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.