Questions from General Calculus

Q: For the function f whose graph is given, state the value

For the function f whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

Q: For the function whose graph is given, state the value of

For the function whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

Q: If a rock is thrown upward on the planet Mars with a

If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters seconds later is given by y = 10t – 1.8t2 (a). Find the average velocity over the given time intervals: (i...

Q: Sketch the graph of the function and use it to determine the

Sketch the graph of the function and use it to determine the values of for which limx→a f (x) exists.

Q: Use the graph of the function f to state the value of

Use the graph of the function f to state the value of each limit, if it exists. If it does not exist, explain why.

Q: Given that limx→2 f (x) = 4 limx

Given that limx→2 f (x) = 4 limx→2 g (x) = -2 limx→2 h (x) = 0 find the limits that exist. If the limit does not exist, explain why.

Q: (a). What is wrong with the following equation?

(a). What is wrong with the following equation? x2 + x – 6/ x - 2 = x + 3 (b). In view of part (a), explain why the equation lim x →2 x2 + x - 6 x - 2 = lim x→2 (x + 3) is correct.

Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → -1 2x2 + 3x + 1/ x2 - 2x – 3

Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → -3 t2 - 9 + 1/ 2x2 + 7t + 3

Q: Evaluate the limit, if it exists. lim x →

Evaluate the limit, if it exists. lim x → -1 x2 – 4x / x2 – 3x - 4