Done Expert Q&A Suppose that y is inversely proportional to x. Find the constant of proportionality...
define what it means for two variables to be directly and inversely proportional. Using the variables x and y and the constant of proportionality c, write an equation showing x and y having the defined relationship. Directly Proportional: Inversely Proportional: Reference(s): Please help!!
When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received is directly proportional to the number of US Dollars to be exchanged. If 1,150 USD can be converted into 35,165.85 PHP. Find the constant of proportionality k. k= (If needed, round answer to 3 decimal places.) Using the k from above find the amout of PHP given that you have 1,300 USD to convert. you will receive PHP (If needed, round answer to 2 decimal...
1a) If the rate of change, W, is inversely proportional to W(x) where W is always greater than 0. If W(1)=25 and W(4)=17, then find W(0) 1b)assume an object's weight, W, is proportional to its height, H. Does it make sense to use differential equations to model the Weight of the object? If so, write the differential equation. If not, explain why 1c)Assume the population, P, of cats in a region is proportional to the area, A, of the region....
parta- Use linear approximation, i.e. the tangent line, to approximate as follows:Let f(x) = x 6. The equation of the tangent line to f(x) at x = 2 can be written in the form y = mx+b where is: and where is: Using this, we find our approximation for 1.86is Box 1: Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box...
&7 4. A population P grows at a constant rate of a organisms per unit time, and the death rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answe terms Po, a, k and a constant C.) wer must contain the...
The intensity of a light source at a distance is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. Two light sources, one five times as strong as the other, are 9 m apart. At what point on the line segment joining the sources is the intensity the weakest? Write an equation representing the intensity, I, at a distance, x, from the weaker lightbulb, and with k as the...
Find a constant k (in terms of a) so that the function fxx (x,y) = e-(x+u) 0 << oo and 0 < y <a and O elsewhere is a valid joint density function.
son 11 Name Write Equations for Proportional Relationships Study the example showing how to identify a proportional relationship. Then solve problems 1-9. Example The table shows the relationship between the money that Leo earns and the number of lawns that he mows. Is the relationship proportional? The ratios of the money earned to the number of lawns all simplify to y, or 5, so the relationship is proportional. Graph the relationship between the money earmed and the number of lawns...
please complete the whole question 4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The answer must contain the terms Po,...
Do the question completely. Especially part C thanks 4. A population P of organisms dies at a constant rate of a organisms per unit time, and the growth rate is proportional to the population size with the proportionality constant k. A. Assume the initial population P(0) = Po. Write a differential equation that models the size of the population P(t) at ay time t. B. Write the equation from part A in standard form, and solve. (The terms Po, a,...