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Question: The graph of the function f is shown in the accompanying figure.
a. Is f continuous at x = a? Why?
b. Is f differentiable at x = a? Justify your answers.
Find the derivative of the given function.
f(x) = 3x5 - 2x4 + 3x2 - 2x + 1
The sum of the digits in a two digit number is 11. If the digits are reversed, the new number will be 45 less than the original number. What is the original number?
For the following matrix A use Matlab to 1) calculate its eigenvalues and the corresponding eigenvectors; 2) calculate A2, AT, A-1, rref(A); and 3) calculate det(A),det(A2), det(2A)
The percent concentration of a drug in the bloodstream x hours after administered is given by k(t)=t/(t^2+9). On what time interval is the concentration of the drug increasing?
The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll.
Four commuter trains and three express buses depart from City A to City B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a..
what is the volume of a rectangular storage facility that is 75ft tall, 80ft wide and 15ft. tall?
Let R be the region bounded by the graphs of: y = x - sinx, y = pi and x = 0. Use a double integral to calculate the area of the region R
Nationwide, the average waiting time until a electric utility customer service representative answers a call is 300 seconds per call. The Gigantic Kilowatt Energy Company took a sample of 35 calls and found that, on the average, they answered in 240..
Briefly compare and contrast the definition of "vector-valued function" and the definition of an ordinary function y = f (x). How do you determine whether a curve C determined by r(t) is "smooth"? Give an example of a function r(t) that determines a..
Let S be the set of subroutines of a computer program. Define the relation R by PR Q if subroutine P calls subroutine Q during its execution. Describe the transitive closure of R.
the farmer above can purchase two types of fertilizer. a 50lb bag of crescent fertilizer has 5 units of nitrogen 15
A $500, 8% bond is purchased on February 1, 2004, to yield 10%compounded semi-annually. The interest on the bond is payable onFebruary 1 and August 1 each year. Find the purchase price if the bondis redeemable at face value on February 1, 2014.
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