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Magazine Problem 80
Suppose $$ p(x)=x^{5}+2 x^{3}+1 $$ (a) Find two distinct points on the graph of \(p\). (b) Explain why \(p\) is an increasing function. (c) Find two distinct points on the graph of \(p^{-1}\).
Problem 80
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ 8^{5 / 3} $$
Problem 80
Find the two points where the circle with radius 3 centered at the origin intersects the circle with radius 4 centered at (5,0) .
Problem 81
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ 8^{5 / 3} $$
Problem 81
Find the intersection of the line containing the points (2,3) and (4,7) and the circle with radius \(\sqrt{15}\) centered at (3,-3) .
Problem 82
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ 81^{3 / 4} $$
Problem 83
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ 32^{-4 / 5} $$
Problem 84
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ 8^{-5 / 3} $$
Problem 85
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ (-8)^{7 / 3} $$
Problem 86
Evaluate the indicated quantities. Do not use a calculator-pushing buttons for these exercises will not help you understand rational powers. $$ (-27)^{4 / 3} $$
