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Let h be a differentiable function defined on the interval [0,3], and assume that h(0)=1 h(1)=2 and h(3)=2.
a- argue that there exists a point d belong to [0,3] where h(d)=d.
b-argue that at some point c we have h'(c)=1/3.
c-argue that h'(x)=1/4 at some point in the domain.
The perimeter of a triangle ABC is 54. If the triangle has side lengths AB=3x,BC=4x, and AC=5x, find the lengths of each side.
Find the critical points.
Give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the binomial distribution that was calculate in question 5. explain how they are related. mean=np, standard deviation
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
The Speedmaster IV automobile gets an average 22 miles per gallon in the city. The standard deviation is 3 miles per gallon. Find the probability that on any given day, the automobile will get more than 26 miles per gallon when driven in the city.
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
a kite is flying horizontally at a constant height of 100 ft above the girl flying the kite. at a certain instant, the angle whichthe string makes with the girl is 30 degrees and decreasing. if the string is paying out at 16 ft/s, how fast is the ..
Determine if the function f(x) = 3x + x^2/3 (2 - x)^1/3 satisfies the hypotheses of the MVT on the interval [0, 2]. If it does, find all possible values of c that satisfy the conclusion of the MVT. (MVT is Mean value theorem)
From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have been reduced?
Either explain why f is not linear or write down the matrix that represents f . iI general how do you solve problems of this type?
Express the following in the polar coordinate form: u(r, theta) + i v(r,theta)
Find the probability that a loaf is smaller than twenty-three ounces?
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