If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]
If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]
If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx].
If F(x)= (upper: x, lower: 0) ∫√(t3+1)dt then F'(2)=3
finding the volume of the solid
what are the exact possible values of k? Hint: use cylindrical shells
dy/dy+xy=x , y(0)=1/2
y'=y , y(2)=3
y'= (3-x)/xy , x>0, y(1)=2
a. 1/6 b. 1/3 c. 1/2 d. 5/6 e. 1
Find the area of the region R. a. 5.497 b. 1.483 c. 0.879 d. 0.013
¯x= 11/3 ¯x= 8/3 ¯x= 14/3 ¯x= 4/3 none of these
Suppose that f(x) is the probability density function describing the distribution for the number of minutes it takes to solve a puzzle. Which of the following represents the probability that you will...
a. ∫C(x)dx b. ∫xC(x)dx c. C'(x) d. ( C'(x) )/x e. none of these
Particles A and B are located on the x-axis. The masses and positions of the particles are: mA = 12 grams ...
Suppose that a force of 20N stretches a spring 0.4 m beyond its natural length. How far will a 40N force stretch the spring? a. 1.0 b. 0.4 c. 0.2 d. 0.8
How much work is done in lifting the spaceship to an altitude of 70 miles? a. 2450 mi-tons b. 2100 mi-tons c. 3500 mi-tons d. none of these
I know that the equation, dT(t)/td = k(T(t)-2º) would represent the rate at which the temperature, T is decreasing. If the pizza cools to 45° in 1 hour, then its...
A cup of coffee at 160° is placed in a room where the temperature is 70°. After 5 minutes, the coffee’s temperature is 112.5°. Find the temperature of the coffee 10 minutes after it...
You are making pudding for a dinner party, and you put it in the refrigerator at 5 p.m. Your refrigerator maintains a constant temperature of 40 degrees. The pudding will be ready to serve when it...
Torricelli’s Law states that water will empty from a hole in the bottom of the tank at a rate directly proportional to the square root of the height of the water in the tank. If the tank is full to...