Provide an appropriate response.What is the present value of an annuity of $1000 per month for ten years at an interest rate of 6.3% compounded monthly?
Fill in the blank(s) with the appropriate word(s).
$88,862.81
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Solve the problem.A water tank is formed by revolving the curve y = 6x4 about the y-axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y, fall? (Use Torricelli's Law: dV/dt = -m
.)
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Determine the indefinite integral. Check your work by differentiation.
dx
A. 15x4 - 16x2 + 2x + C
B. 15x2 - 8 + C
C. 
x4 - 4x2 + 2x + C
D. 5x4 - 8x2 + 2x + C
Provide an appropriate response.Explain and correct the error in the following problem: 
7. 6 3
What will be an ideal response?
Start with the graph of y = ex. a) Describe a sequence of transformations that results in the graph of y = f(x); b) Find the range of f(x); c) Find the horizontal asymptote of the graph of f.f(x) = -4e2 - 5x - 2
A. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the y-axis, shifted 
unit to the left, stretched vertically by a factor of 4, reflected in the x-axis, and shifted up two units.
b) (-?, 2)
c) y = 2
B. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the y-axis, shifted 
units to the right, stretched vertically by a factor of 4, reflected in the x-axis, and shifted down two units.
b) (-?, -2)
c) y = -2
C. a) The graph of y = ex is compressed horizontally by a factor of 
, shifted 
unit to the left, stretched vertically by a factor of -4, and shifted down two units.
b) (-2, ?)
c) y = -2
D. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the y-axis, shifted 
unit to the right, stretched vertically by a factor of 4, reflected in the x-axis, and shifted down two units.
b) (-?, -2)
c) y = -2