It can be shown that (1+ x)n = 1 + nx +
x2 +
x3 . . . is true for any real number n (not just positive integer values) and any real number x, where |x| < 1. Use this series to approximate the given number to the nearest thousandth.1.063
A. 0.840
B. 1.194
C. 0.837
D. 1.191
Answer: D
Mathematics
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Change the Cartesian integral to an equivalent polar integral, and then evaluate.
A.
B.
C.
D.
Mathematics
Solve the problem. Assume projectile is ideal, launch angle is measured from the horizontal, and launch is over a horizontal surface, unless stated otherwise.Derive the equations x = x0 + (v0 cos ?)t, y = y0 + (v0 sin ?)t - gt2by solving the following initial value problem for a vector r in the plane. Differential equation:
= -gj Initial conditions: r(0) = x0i + y0j
(0) = v0 cos ?)i + (v0 sin ?)j
What will be an ideal response?
Mathematics
Multiply and simplify. ?
A.
B.
C.
D.
Mathematics
Find the value of the improper integral that converges.dx
A. e
B. e5
C. 5
D. The improper integral diverges.
Mathematics