y is inversely proportional to (x+1)². y=50 when x=0.2. (a) Write y in terms of x. K K y= ・ x+17 72 Y 72 Y- (x+1)² (x+1)2 K=4(x+1)² y (x+1)² k = (50) (0.2+1) 2 k=72

If y varies inversely with x and y=8 when x=2 find the equation that relates x and y.

Find f(1) and f(2). f(x)=x+7

x) = (1/3)x - 6

Find (9x - 8x + 2) dx. |(9x - 8x + 2) dx =

Evaluate

Let f(x) 5x² to f(6 + h). = · 6x + 6. If ƒ(6) f(6+h)-f(6) = = = 150 and h = 5, determine the amount of change from ƒ(6)

find the constant term of (2x² + 1/x)⁹

Suppose that the value (in $) of a car is described by V(t)=16,200(0.97)t, where t is the number of years since it was purchased. What is V(0) and what is its interpretation. What will be the value after three years. give answer in dollars and cents. when will the value reach $10,000. give exact and approximate answer.

The shareholder's equity z (in billions of dollars) for a major corporation from 2000 to 2006 can be modeled by  z = 0.21x − 0.071y − 0.727,  where x is net sales (in billions of dollars) and y is the total assets (in billions of dollars). (a) Find the shareholder's equity when x = 400 and y = 130. (Round your answer to three decimal places.)