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[answered] Calculus Writing Assignment: Basic Computation Rules Each p


hi please help me with this Math Calculus assignment. it is about limits and graphs. i don't understand anything about this assignment. if you could explain how you got the answers it would help me a lot. thank you


Calculus

 

Writing Assignment: Basic Computation Rules

 

Each problem is worth 5

 

Total Points: 50

 

Answer each of the following questions. Make sure to show all your work.

 

1) Find the derivative of y = 6e x ? cos x. 2) Find dr

 

if r (x) = 9x 2 + 5x ? 3.

 

dx 3) Evaluate d ? sin ? ?

 

.

 

d ? ?? 6 ?? 4) Differentiate g (t ) = ?8 t . 5) Find the derivative of f (x) = (5 ? 3x) 2. 6) Find d ? 3y 2 + 4y + 2 ?

 

?

 

?.

 

dy ?

 

y

 

? 7) Find the tangent line to the graph of f (x) = 3 ? 4e x at x = 0. 8) The vertical position of an object is modeled by the function h(t) = ?16t 2 + 5t + 7, where h is measured

 

in feet and t is measured in seconds. Find the object?s initial velocity (that is, the velocity at t = 0). 9) Use y?(3) to determine if the graph of y = 4 cos x + 3

 

is increasing or decreasing when x = 3.

 

x 10) Use a tangent line approximation at x = 0 to estimate the value of sin(?0.1).

 


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