Please help me

Make sure you read the question carefully and answer it complete.

7.) Let y = log(3x) = log₁₀(3x).

a.) Find the derivative of y.

Hint: 10^y= 3x

y ln(10) = ln (3x) = ln(3) + ln(x)

8.) A car's position is described by the equation

x(t) = 2t² - t + 5, where x is in feet and t is in sec

a.) What is the car's speed v(t)? Be sure to include the

units.

b.) What is the car's acceleration a(t)? Be sure to include

the units.

9.) The equation of a hyperbola is

(x^2/10) - (y^2/16) = 1

a.) Find the slope at the point (10,-12). Use implicit

differentiation.

b.) Plot the hyperbola and the point (10,-12).

c.) Does your slope look like it could be the tangent line at

(10,-12)? (yes or no)

10.) A cylinder has a radius r and a height h.