Solve the IVP: dy dx = -12x + 3y where y(1) = 10 -3x+2y Solve your solution equation explicitly for the function in the box below: y = У and enter

Solve for x

y=4x-x², y=x

Determine when y = In(2x² – 4x).

Solve for x: 4(2х - 6) 3D 10х- 6 O 5 O -7 O -9 10

3x + 5y = 4 4 --X- 3 (х, у) %3 1. %3D

The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed y (in mph). Find M(32,45) (include the appropriate units) and explain what it means. M(32,45)= (Type an integer or a decimal.) Explain what the answer in the previous step means. Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals.) A. Increasing the tire pressure by one psi and maintaining a speed of B. Increasing the speed by one mph and maintaining a tire pressure of C. Mileage is mpg at a tire pressure of psi and a speed of mph. D. Increasing the speed by one mph and maintaining a tire pressure of O E. Increasing the tire pressure by one psi and maintaining a speed of mph will increase mileage by psi will increase mileage by psi will increase mileage by psi will decrease mileage by mpg. mpg. mpg. mpg.

dx -= ? xvx2 +x+2

The number of a certain type of bacteria, y, present in a culture is determined by the equation y=2000(4)x, where x is the number of days the culture has been growing. Find the number of bacteria present after 6 days.