Questions from General Calculus

Q: Sketch the graphs of the following functions. y = 1

Sketch the graphs of the following functions. y = 1 - ex

Q: Sketch the graphs of the following functions. y = ex

Sketch the graphs of the following functions. y = ex/2

Q: Compute the given derivatives with the help of formulas (1)–(

Compute the given derivatives with the help of formulas (1)–(4). (a) d/dx (ex) |x=1 (b) d/dx (ex) |x=-1

Q: Sketch the graphs of the following functions. y = ex

Sketch the graphs of the following functions. y = ex-1

Q: Differentiate the function. y = √(3x – 1)

Differentiate the function. y = √(3x – 1) / x

Q: If dairy cows eat hay containing too much iodine 131, their

If dairy cows eat hay containing too much iodine 131, their milk will be unfit to drink. Iodine 131 has half-life of 8 days. If the hay contains 10 times the maximum allowable level of iodine 131, how...

Q: Sketch the graphs of the following functions. y = -

Sketch the graphs of the following functions. y = -e-x + 1

Q: Sketch the graphs of the following functions. y = 2e

Sketch the graphs of the following functions. y = 2e-x

Q: Find the equation of the tangent line to the graph of y

Find the equation of the tangent line to the graph of y = ex at x = 0. Then, graph the function and the tangent line together to confirm that your answer is correct.

Q: (a) Graph y = ex. (b)

(a) Graph y = ex. (b) Zoom in on the region near x = 0 until the curve appears as a straight line and estimate the slope of the line. This number is an estimate of d/dx ex at x = 0. Compare your answe...