MATHS PROBLEM PLEAS SHOW YOU WORK

For All Problems A=3 B=4 C=7 D=8 E=9

1.) Quotient Rule- Round your answer to two decimal places.

2.) Product and Power Rules- Your answer will be a large number.

3) Find the second derivative of f(x)=([d]x+[b])4

  and evaluate it at x=3

.

4)Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + b format.

5) The x- and y-coordinates of a moving particle are given by two parametric equations..

x=[a]t2
+t

 y=2
−[c]t



Find the magnitude and direction of velocity at t = 3 sec. Distance is measured in meters. Round your answers to one decimal place and don't forget to use the degree symbol.

6) A 6-ft tall man walks away from a [a]*[c]-ft tall streetlight at [b] ft/sec. How fast is his shadow increasing when he is [e] feet from the streetlight?

7) A rock is thrown upward from the edge of a cliff. The rock follows the equation below.

s=[b]×[d]+64
t−16
t2

   


What is the greatest height above the ground that this rock will go?

8)You are designing a rectangular enclosure with [a] rectangular interior sections separated by parallel walls. If you have 300*[c] feet of fencing, what is the maximum area that can be enclosed?

9) Find the constant of integration, C if:

  y=∫(9
x2
+2
x−[b])
  dx and the curve passes through the point ([a], [e]).

10) Find the constant of integration, C if:

 dx and the curve passes through the point ([c], [d]).

11) Evaluate ∫1
[c]x[b]x2
+[d]
 dx and round your answer to two decimal places.

12) Approximate the area under the curve defined by the following