Solve the differential equation with initial condition.y' = 4y, y(0) = 0

A. y = e4t
B. y = 0
C. y = e(1/4)t
D. y = 1


Answer: B

Mathematics

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Determine the population and the sample.A graduate student at a university wants to find out the opinions of undergraduate students about campus dining choices. He has access to a list of 2500 undergraduate student email addresses and emails a survey to 500 of these undergrads selected at random.

A. Population: undergraduate students at the university; Sample: 2500 undergraduate students from an email list B. Population: undergraduate students at the university; Sample: 500 undergraduate students from an email list C. Population: 2500 email addresses; Sample: 500 undergraduate students from an email list D. Population: 500 undergraduate students from an email list; Sample: 2500 email addresses

Mathematics

Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -5, v(1) = 6, v '(1) = -3. (3v - u) at x = 1

A. 21 B. -4 C. 15 D. -14

Mathematics

Write the number in scientific notation.0.00009131

A. 9.131 × 104 B. 9.131 × 105 C. 9.131 × 10-4 D. 9.131 × 10-5

Mathematics

Use the accompanying graph of y = f(x) to sketch the graph of the indicated equation.y = 2f(x)  

A.

B.

C.

D.

Mathematics