f(x) = squareroot(x + 8) , a = 1 Use mtan = lim h→0 (f(a + h) − f(a))/h to find the slope of the tangent line mtan = f '(a). Then, find the equation of the tangent line to f at...

f(x) = squareroot(x + 8) , a = 1 Use mtan = lim h→0 (f(a + h) − f(a))/h to find the slope of the tangent line mtan = f '(a). Then, find the equation of the tangent line to f at...

use logarithmic differentiation to find the derivative of the function a. y=x^sinx b. y=(sinx)^lnx

newtons law of gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is: F=(GmM)/r^2 where G is the gravitational constant...

suppose that another population of bacteria triples envy hour and starts with 400 bacteria. find an expression for the number n of bacteria after t hours and use it to estimate the rate of growth...

Determine whether the vectors a and b are parallel, orthogonal, or neither: a=〈3,5〉 and b=〈-10,-6〉

f(x) = x^2 + 6x, a = 3

A) Write the revenue equation as a function of price B) Find the price they should charge to maximize revenue C) How many will they sell at that price? D) What is the maximum revenue?...

An object is dropped from the top of a cliff 660660 meters high. Its height above the ground t seconds after it is dropped is 660660minus−4.9t squaredt2. Determine its speed 77 seconds after it is...

What is the rate of change of the volume of the balloon when the radius is 40 centimeters? (V= 4/3(pi)(r)^3 I know how to find the Volume of the balloon at specific radii but I don't...

Fertilizers can improve agriculture. A research of corn grown in Kenya found that the value, V=f(x), in Kenyan shillings of corn production from an average plot of land is a function of quantity,...

Simplify the expression. sin(tan−1(x))

In 1626, Peter Minuit traded trinkets worth $24 for land on Manhattan Island. Assume that in 2014 the same land was worth $7 trillion. Find the annual rate of interest compounded continuously at which...

It's pretty self exclamatory. . .

Find an equation in standard form for the hyperbola that satisfies the given conditions: Transverse axis endpoints (3,3) and (3,−1), conjugate axis length 8

You are in a sea kayak 400m offshore from point A. You are along a straight sandy beach. A storm is brewing and you wish to go to a shelter 1000m down the beach from A. If you can paddle your kayak...

I'd greatly appreciate your help. Thank you for your time.

the answers must have the parametric form for x and for y.

The answer should be exact. Radicals can be used if needed.

(12(cos 420 + i sin 420)) / (2(cos 120 + i sin 120)) Thank you for your time.

find the points on the curve y= 2x^3 + 3x^2 - 12x + 1 where the tangent is horizontal