# #10 A and B a) if f(x)= 3x^2-2x+4, find the Difference Quotient f (x+h)-f(x) in simplified form b) use your answer in part a above

#10 A and B

a) if f(x)= 3x^2-2x+4, find the Difference Quotient f (x+h)-f(x) in simplified form

b) use your answer in part a above to find the slope of a secant line for ‘x’ on the interval [-2.4] Transcribed Image Text: ned formula for g[f(x)].

b) Specify the domain of g [ f (x) ].

10. a) If f (x) = 3x²

2x + 4 , find the Difference Quotient

b) Use your answer in part ‘a’ above to find the slope of a secant line for ‘x’ on the interval[- 2,4).

f (z+h)-f (z)

in simplified form.

h

11. Refer to the pdf: Question11.pdf +

A water tank has the shape of a right circular cone with a height of 10 feet and a radius of 4 feet.

a) Write the height ‘h’ of the water in the tank as a function of the radius ‘ľ of the water. [i.e., find h (r)

b) Suppose water is pouring into the tank so that the radius ‘r’ of the water is given by r= t, where ‘t’

is in minutes. If the volume ‘V’ of the water in the tank is given by V = r r² h, find a simplified

%3D

formula for V (t) .

12. a). Use polynomial long division to divide P (x) = 2x³ + 3x – 2x³ – 7x + 4

by (–x² +1). Write your answer using either of the two forms shown in class.

b) Is (x + 1) a factor of P (æ) ? Show/explain your reasoning.

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