Given

(a)  

Given f and g are inverses of each other and the point (3,-4) lies on the graph of g and f ‘ (-4) is 0.25

Then write an equation for the line tangent to g at the given point in point-slope form

(a)  

 $f\left(x\right)=5x^2-7$  and  $f^{-1}$  is the inverse of  $f$  , then  $\frac{\text{d}\left(f^{-1}\left(x\right)\right)}{\text{d}x}$  at  $x=13\$  is (a)  

Find the equation of the line tangent to the curve

  at the point when x=1, in point slope form

(a)  

 $\ln\left(x^2+y^2\right)=x+4$  

Given the equation above, find  $\frac{\text{d}y}{\text{d}x}$  

The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square changing when the sides are 5m long? (do not need to include the units in your answer, but do need to include units on your test)

(a)  

Two boats leave a port at the same time, one traveling west at 20mi/hr and the other traveling south at 15 mi/hr. At what rate is the distance between them changing 30min after they leave the port? (do not need to include the units in your answer, but do need to include the units on your test)

(a)