Find r(t) satisfying the conditions for  Figure 3.png)
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Find the inverse of the given function.y = 4 log e x
A. y =
B. y = ex/4
C. y = 4 e x
D. y = -4 log e x
Provide an appropriate response.It can be shown that a hyperbola with center at the origin, foci at F'(-c, 0) and F(c, 0), and equation 
has equation 
- 
= 1. Use this result to find an equation of a hyperbola with center at the origin, foci at (-8, 0) and (8, 0), and absolute value of the distances from any point of the hyperbola to the two foci equal to 8.
A. 
- 
= 1
B. 
- 
= 1
C. x2 - y2 = 8
D. 
- 
= 1
Suppose that y is inversely proportional to x. Use the given information to find the constant of proportionality k. Then use y = 
to find y for the given value of x.y = 12.5 when x = 5;
Find y given x = 25.
A. k = 70; y = 2.8 B. k = 2.5; y = 62.5 C. k = 55; y = 2.2 D. k = 62.5; y = 2.5
Write the expression in the standard form a + bi.(1 - i)10
A. -32 + 32i B. 32 - 32i C. -32i D. 32