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A bicyclist pedals at a fairly constant rate, with evenly spaced intervals of coasting. Sketch a graph of the distance she has traveled as a function of time.
The formula for the number of multisets is (n + k - 1)! divided by a product of two other factorials. We seek an explanation using the quotient principle.
For each function below find all critical points, x- and y- intercepts. Apply first and second derivative tests. Indicate the intervals over which the graph is increasing ii) decreasing iii) concave up iv) concave down.
An object is moving with velocity (in ft/sec) v (t) = t2 - 9. Find the displacement and total distance travelled from t=0 to t=7.
What is the equation of a line though the point (-5,-2) that is perpendicular to the x-axis. What is the slope?
A shipment of 120 computer cases that contains 5 defective cases was sent to an assembly plant. The quality control manager at the assembly plant randomly selects 5 cases and inspects them. What is the probability exactly one case is defective?
What is the language generated by the grammar G with vocabulary {S, 0, 1}, set of terminals T = {0, 1}, starting symbol S, and productions S → 000S, S → 1?
Find the maximum depth using the given function - What is her depth after 4 sec? After 6 sec?
Use the sinking fund formula shown to the right time in the monthly payment needed to accumulate $310,000 with 9% interest are compounding monthly for34 years.
For the given function f(x), one possible start value x0 =/= 0 for Newton's method shall be determined so that the root a = 0 can be found exactly.
The cost in dollars of producing x units of a particular camera is C(x) = x2 - 10000.
Write a java program to accept marks in 4 subjects, find the average and display the grades. 85 -S
Peanuts cost $4.00 per pound and cashews cost $7.50 per pound. If I buy a 5 lb bag consisting of Peanuts and Cashews, and I pay $23.50 for the bag, how many pounds of cashews and how many pounds of peanuts are in the bag?
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