Zachary C.

The current value is modeled by the exponential equation y = y0e^rt, where r is the annual interest rate, t is time in years, and y0 is the initial value of the account. Suppose after 2 years, the... more

If f(t) is continuous for t≥0, the Laplace transform of f is the function F defined by:F(s)=∫(0 to ∞) f(t)e-stdtAnd the domain of F is the set consisting of all numbers s for which the integral... more

Find the equations of all lines that are tangent to the graph of the function f(x) = x ^ 2 + 1 and pass through the point P(1,0). Be careful: this point is not on the graph of f.

A child bounces a 48 g superball on the sidewalk. The velocity change of the superball is from 25 m/s downward to 14 m/s upward. If the contact time with the sidewalk is 1 800 s, what is the... more

A car (car #1), moving at speed v1= 20 m/s in the direction theta1= 33degrees N of E starts at apoint a distance D = 130 m due north of a second car (car #2) that moves with a speedv2 = 30 m/s and... more

A uniform electric field exists throughout a region of space that contains all five points (A through E) shown. Points A through D are on a single left-right line. E is on a line at an... more

A pond forms as water collects in a conical depression of radius a and depth h. Suppose water flows in at a constant rate k and is lost through evaporation at a rate proportional to the surface... more

Melvin pulls a sled across level snow with a force of 59 N along a rope that is 23 degrees above the horizontal. If the sled moved a distance of 19 m, how much work did Melvin do? Answer in units... more

∫(0 to 2) (ex)/(1+x2)dx, n=10

For the solid of constant density k bounded by the surfaces z = x^2, y = 2z, z = 2, y = 0, use iterated integrals to find the center of mass of the region. Give your answer as a coordinate triple... more

Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Put your answer in standard form. -3,5,-2i