Solve the given problem by using Laplace transforms.A 10-H inductor, a 40-?F capacitor, and a voltage supply whose voltage is given by  are connected in series. Find the current as a function of time if the initial charge on the capacitor and the initial current are both zero.

A. i = 5t sin -50t
B. i = 5t cos 50t
C. i = 5t sin 100t
D. i = 5t sin 50t


Answer: D

Mathematics

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Solve the problem.A box with an open top is formed by cutting squares out of the corners of a rectangular piece of cardboard and then folding up the sides. If x represents the length of the side of the square cut from each corner, and if the original piece of cardboard is 14 inches by 12 inches, what size square must be cut if the volume of the box is to be 144 cubic inches? 

A. x = 6 in. B. x = 4 in. C. x = 3 in. D. x = 8 in.

Mathematics

Use the vertical multiplication algorithm to find the product.

A. 9,722 B. -249 C. -9,722 D. 9,622 E. -9,622

Mathematics

For the given functions f and g, find the requested function or functional value.f(x) = 8x2 - 5x,g(x) = x2 - 2x - 15Find .

A.
B.
C.
D.

Mathematics

Solve the problem using matrices.State University has a College of Arts & Sciences, a College of Business, and a College of Engineering. The percentage of students in each category are given by the following matrix.The student population is distributed by class and age as given in the following matrix.

style="vertical-align: -32.0px;" />How many female students are in the College of Business? How many male students are in the College of Arts & Sciences?

A. 605 students; 1411 students
B. 693 students; 516 students
C. 503 students; 693 students
D. 1282 students; 605 students

Mathematics