Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.f(x) = x4 - 4x3 + 4x2; [0, 2]

A.
B.
C.
D.


Answer: C

Mathematics

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Evaluate the integral.dx

A. 90
B.
C.
D. 135

Mathematics

In the energy demand problem above, the demand vectors could be represented in a 2 row matrix, where row 1 contains the energy demands of the consumers and row 2 contains the energy demands of the energy industries:D = A researcher is studying the effects on the local economy of changes in the original demand matrix. He models one change by the matrix equation D1 = D + 0.5D. Calculate the new demand matrix in his model.

What will be an ideal response?

Mathematics

Solve the problem.Assume that the price per unit d of a certain item to the consumer is given by the equation  where x is the number of units in demand. The price per unit from the supplier is given by the equation  where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.

A. equilibrium price: $35 per unit; equilibrium quantity: 50 units B. equilibrium price: $50 per unit; equilibrium quantity: 30 units C. equilibrium price: $20 per unit; equilibrium quantity: 50 units D. equilibrium price: $30 per unit; equilibrium quantity: 50 units

Mathematics

Use the problem-solving strategy to solve the problem and find the unknown number.If 4 times a number is added to -9, the result is equal to 13 times the number.

A. 17 B. -1 C. -17 D. 1

Mathematics