7x° – 8x + 4, x 0 = –1 -

This question requires the use of the difference quotient

solve the following function and give its domain y= 2(x/x+1)-1

Use algebraic techniques to rewrite each function as a sum or difference; then find the derivative

Let f (-1) = O =- and f (2) = 112. Enter the exact answers. (a) Find a possible formula for f if f is linear. f (x) = 113.75xe115.5 Edit (b) Find a possible formula for f if f is exponential. f (x) = 7x4 Edit

55. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e-0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.

For the function f(x) = 10x² – 3x + 5, find the equation of the tangent line at - 8. Answer: Submit Answer

The owner of a computer Store estimates that t years from now, the stores total sales revenue will be $ (t) = (1200t / 0.5 + 0.4t ) + 100 thousand dollars. Use calculus to determine the rate at which the stores total sales revenue will be changing with respect to time five years from now.

For f(x) = x3− 2x + 2, write the formula for Newton’s method for this specific function with xn+1 expressed as a function of xn. Then use Newton’s method to find x2 through x5 (rounded to six places past the decimal when applicable) for both x1 = 0 and x1 = −2. These calculations may be done in a calculator without showing work on the page. In each case, describe in words the behavior of the sequence of approximations and whether or not the sequence of approximations appears to converge to a root. must show all steps

Which function is equivalent to f(x) = lnx?