Calculus

Sketch the graph of the function.

Sketch the graph of the function. f(x) = 3 + x if x < −2 x2 if −2 ≤ x < 2 6 − x if x ≥ 2 *The lower left hand graph is the correct graph!Use the graph to determine the values of a for which lim x → a f(x) does not exist. (Enter your answers as a comma-separated list.) a = EXPERT ANSWER

For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)

For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) EXPERT ANSWER (a)     lim x → −3− h(x)= (b)     lim x → −3+ h(x)= (c)     lim x → −3 h(x)= (d)     h(−3)= (e)     lim x → 0− h(x)= (f)     lim x → 0+ h(x)= (g)     lim x → 0 h(x)= (h)     h(0)= (i)     lim x → 2 h(x)= (j)     h(2)= (k)     lim x → 5+ h(x)= (l)     lim x → 5− h(x)= EXPERT ANSWER a) 4b)4c)4d)DNEe)1f)-1g)DNEh)1i)2j)DNEk)3 l)from the …

For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) Read More »

For the function R whose graph is shown, state the following. (If an answer does not exist, enter DNE.)

For the function R whose graph is shown, state the following. (If an answer does not exist, enter DNE.) (a) lim x ? 2 R(x) (b) lim x ? 5 R(x) (c) lim x ? ?3? R(x) (d) lim x ? ?3+ R(x) (e) The equations of the vertical asymptotes. x = (smallest value) x = x = (largest value) EXPERT ANSWER a) At x = 2, both sides …

For the function R whose graph is shown, state the following. (If an answer does not exist, enter DNE.) Read More »

A patient receives a 150-mg injection of a drug every 4 hours. The graph shows the amount f(t) of the drug in the bloodstream after t hours.

EXPERT ANSWER lim t –> 4- = 75lim t –> 4+ = 225 The – indicates the t-value is approaching 4 from numbers lower than 4. At t = 0 the patient gets the first injection and there is 150 mg in the blood. Over time this amount decreases as shown by the curve. At …

A patient receives a 150-mg injection of a drug every 4 hours. The graph shows the amount f(t) of the drug in the bloodstream after t hours. Read More »