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if a stone is thrown down at 120 feet per second from a height of 1000ft, its height after t seconds is given by s=1000-120t-16t^2. Find its instantaneous velocity function.
Evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipse
At what speed is the boat approaching the dock when it is 20 feet from the dock? 10 feet from the dock?
Choose one equation of each type: linear, quadratic, polynomial, rational, exponential, and log. Plot each equation on the same graph. Discuss and compare the appearance of each graph.
Plot the straight line developed from the Linear Trend equation, and the actual Peak demand versus the time, with time being the independent variable.
Suppose G is a finite group with the property that every non-identity element has prime order (D3 and D5 are examples of groups with this property).
Find the Riemann sum for the function f(x) = x^2 on the interval [-4, 2] where the constituent subintervals are [-4,-3], [-3, 0], [0, 2], and the evaluation points are at the left-hand endpoint of each subinterval. Your answer should be an integer..
Find the p-value associated with the test of hypothesis
Find coordinate of centroid using multiple integral method -Determine the z-coordinate of the centroid of G.
What is the difference between an expression and an equation? (minimum 100 words)
Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. Find the errors E_ k and relative errors R_k for the values p1 in parts b) and c).
What is the probability that a randomly chosen employee is a manager and will gain promotion next year?
Use the discriminant to determine how many real-number solutions the equation has. Show steps.
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