Search & Filtering
If there are 5,400 students in University ABC, 1,425 in the College of Nursing, 865 in the College of Medicine,
1,250 in College of Management, and 1,860 in the College of Education how many will be the samples using
the stratified sampling design?
Evaluate the limit. Lim (3x^3-4x+2)/(w^3-5). x-->2
Integrate ∫dy/(y(y^2 + 1))
- (a) Give the definition of continuity of f at a. (b) Give the definition of the derivative of f at a.
- For the function f(x) = x 2 − x + 1 1 − x − x 2 if x < 0, if x ≥ 0
(a) Use your definition of continuity in 1(a) and the properties of limits to determine if f is continuous at a = 0. Show your work.
(b) Use your definition of derivative in 1(b) and the properties of limits to determine if f has a derivative at a = 0. Show your work.
For the function f(x) = 2x − 3 x (a) Use the limit definition of the derivative to find f 0 (x). (b) Find the equation of the line tangent to f(x) at x = 3.
For the function f(x) = x 2 use the Intermediate Value Theorem to prove that there exists a number c such that f(c) = 2. Your are proving the existence of the real number √ 2. Since f(1) < 2 < f(2) you can restrict f(x) to the interval [1, 2]
Let f(x)=−6x2+3x+10,find the slope of parabola f(x)
TOPIC: General Application of Derivatives. Draw the necessary figure and indicate the dimension given.
- A 5m ladder leans against a vertical wall. If the top starts sliding downward at the rate of 5.0 ft/sec, find how fast in m/sec the lower end moves when it is 4 m from the wall.
