# #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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