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A stone is thrown straight upward with a velocity of 30 m/s. What was its maximum height?, b) What is the time taken to reach the maximum height?, c) What is the velocity of the stone when it is 60 m from the ground? (Assume the ground as the initial frame of reference)
Suppose a random selected family has 3 children. Define X to be the number of boys in the family, X = 0,1,2, and 3. Write the sample space, construct a probability distribution in table form, and make histogram.
An object starts from rest with a constant acceleration of 10 ft/s² along a straight road. Determine the velocity after 3.5 sec, b) the average velocity for the 3.5 seconds interval, and c) the distance travelled in this given time.
- A stone is thrown straight upward with a velocity of 30 m/s. What was its maximum height?, b) What is the time taken to reach the maximum height?, c) What is the velocity of the stone when it is 60 m from the ground? (Assume the ground as the initial frame of reference)
An object starts from rest with a constant acceleration of 10 ft/s² along a straight road. Determine the velocity after 3.5 sec, b) the average velocity for the 3.5 seconds interval, and c) the distance travelled in this given time.
A. Tell whether each given function has a solution on the indicated closed interval. Prove using the Intermediate value theorem.
1. f(x)=3x²+2x²;[-1,1]
2. f(x)= 2-x²/x²;[-3,-1]
B. Sketch the graph of the following functions and then find the absolute extreme values of each of the given interval.
1.f(x)=√x²-25;[5,10]
2. f(x)=-1/x²;[0.5,2]
C. A restaurant's profit function (in hundreds) for hamburgers is given by the function P such that P(x)=1.22x-x²/30,000-4,000,where 0≤x≤20,000.
1. How many hamburgers does the restaurant need to sell to yield the maximum profit?
2. What is the maximum profit from the sale of hamburger ?
An automobile and a truck start from rest at the same instant, with the automobile
initially at some distance behind the truck. The truck has a constant acceleration of 2
m/s2 and the automobile at an acceleration of 3 m/s2
. The automobile overtakes the
truck after the truck has moved 75 m. Try to draw the figure.
a) How long does it take the auto to overtake the truck?
b) How far was the auto behind the truck initially?
c) What is the velocity of each when they are abreast?
What is grapichal method of 2x-3y=7; 3x+y=5
B. Sketch the graph of the following functions and then find the absolute extreme values of each of the given interval.
1.f(x)=3-2/5x;[-4,0]
2.f(x)=x-3/4+x;[-3,1]
C. Let f(x)=2x+1. Determine if the Intermediate value theorem applies to f on the closed interval [-3,4]for k=1.
1. Given: List1[‘Bob’, ‘Andy’, ‘Roy’, ‘Mike’, ‘Kim’]
print the first element
#339914 on Dec 2023