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Find the derivative of x^(3/2) using the definition of a derivative. You cannot use the power rule or any other differentiation rules.
A projectile is launched upward with a velocity of 96 feet per second from the top of a 90 foot stage. What is the max height attained by the projectile?
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
a new fence is constructed on three sides of a housing block with area 240m^2 the fourth side facing the road is left open. if 52 of fencing is used, what are the dimensions of the block?
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
Suppose you purchase a set of living room furntiure for $1700. You pay 20% down and sign a contract to repay the balance in 18 equal monthly payments. The finance charge on the balance is 7% simple interest. Estimate the annual percentage rate (AP..
Evaluate the tangent line approximation of the two values and compare with the true value - what about the graph cases
Do you always use the distributive property when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?
Estimate all the stationary points
Explain Empirical and Theoretical probability. How well we understand the difference between empirical and theoretical probability is an important part of our ability to apply probability to a real world set of data.
What is the expected number of claims made by males under 25? What is the standard deviation of the distribution?
At what rate is the base of the triangle changing when the altitude is 11.5 centimeters and the area is 86 square centimeters?
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