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The annual interest rate for a customers loan of $675 is 19.25%. What is the total dollar amount to be repaid on the loan, including principle and interest, for the year.
Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that By using maclaurin series for e^z write the above integral as
at what value of t is the temperature changing the fastest?
A manufacturer produces cardboard boxes that are open at the top and sealed at the base. The base is rectangular and its length is double its width.
How many different trains of white (1x1) and/or red (1x2) rods are there of a given length N? Find at least 2 ways to justify your solution
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
Given A = a*p_hat + b*psi_hat + c*z_hat (cylindrical unit vectors), where a, b, and c are constants. Is A a constant vector (uniform vector field)? If not, find: the divergence and curl of A
Find the vertical asymptote of the function f(x) 5x^2 - 4/x+1 show a work and answer. Find the vertical and horizontal asymptotes of the function g(x) =x+7/x^2 - 4
In each case, sketch the closure of the set: (pi)
A company is producing cylindrical blocks for a children's toy. The average diameter of a block is 3.5 inches. Sixteen blocks are inspected and the diameters are measured. The standard deviation is estimated to be 0.02 inches.
Find the mass of a wire formed by the intersection of the sphere x^2 + y^2 + z^2 = 1 and the plane x + z=0 if the density of a wire is x^2?
Find the break-even points and the maximum revenue.
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
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