Mathematics Homework Solutions

Calc

Find the Taylor polynomial of degree 4 of at c=4 and determine the accuracy of the polynomial at x=2.

calc

see attachment

calc

see attachment

calc

see attachment

calc

see attachment

calc

see attachment

Integrals

Determine the indefinite integral: z = (Integral Sign or "Long S")20xe^-4x dx. I got z = 5xe^-4x + 5/4 e^-4x + C - Does that seem right?

Definite Integrals

Determine the definite integral: I = From 0.01(top) to 0(bottom) on the(Integral Sign) 400e^-200x dx. I came up with I = -2e^-2 + 2e^0 or 1.729 - Does this check with you?

Acceleration involving Integrals

7-26.) A certain object experiences acceleration in m/s according to the following equation: a(t)=10sin2t Initial Conditions are v(0)=0 and y(0)=0. Determine expressions for (a)the velocity and (b) the displacement using indefinite integrals and constants determined from the initial conditions. I have don ...continues

Min/Max problem

Find the length of the shortest line from the origin to the line y=1-6x.

Browse