Find an approximation of the area of the region R under the graph of f by computing the Riemann sum of f corresponding to the partition of the interval into the subintervals shown in the accompanying figures. Use the midpoints of the subintervals as the representative points. Round your answer to the nearest hundredth.
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__________ sq units
Fill in the blank(s) with the appropriate word(s).
3.67
Mathematics
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Graph the polar equation.r2 = 16 sin (2?)
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
Determine whether the statement is a proportion.
A. Yes B. No
Mathematics
Express as a sum of logarithms.log4xy
A. log2x + log2y B. log4x - log4y C. log2x - log2y D. log4x + log4y
Mathematics