Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.
e. None of these
a. 
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Use Simpson's Rule with n = 4 steps to estimate the integral.
A. 
B. 
C. 
D. 
Solve the problem.A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. The company used 95 black, 100 white and 80 red wires. How many of each type of cable were made?
A. 48 A; 20 B; 12 C B. 15 A; 20 B; 15 C C. 20 A; 15 B; 15 C D. 15 A; 16 B; 15 C
Expand the expression using the Binomial Theorem.(x - 1)6
A. x6 - 6x5 - 30x4 - 120x3 - 360x2 - 720x + 720 B. x6 - 6x5 +30x4 - 120x3 + 30x2 - 6x + 1 C. x6 - 6x5 +15x4 - 20x3 + 15x2 - 6x + 1 D. x6 - 6x5 - 15x4 - 20x3 - 15x2 - 6x - 6
Solve.When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 72 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 24 cubic inches.
A. 39 pounds per square inch
B. 42 pounds per square inch
C. 
pounds per square inch
D. 28 pounds per square inch