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1. Evaluate y = Integration-sign e^(ax+b) dx .
2. Find the area of Recordi's new exponential pool, which is bounded by y=e^x, y=0, x=0 and x=3.
3. Find dy/dx for y=x^2 e^-x . Find points where the curve has horizontal tangents.
4. Find out how many bacteria there will be at time t in the gremlin's bacteria dish (dn/dt = 3n; t=0 when n=10; t is measured in hours.) How many bacteria will there be after 5 hours?
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
What is the probability that during a 5-minute interval no one will enter the store? What time interval is such that the probability is 1/2 that no one will enter the store during that interval?
Use of trigonometric ratios to find the distance - Two boats leave the port at the same time.
Find the probability of making a Type II error.
Find the area of the region bounded by the graphs of the given equations.
State the key features (vertex, focus, directrix, direction of opening, and axis of symmetry) of each parabola, and sketch the graph.
Find the maximum depth using the given function - What is her depth after 4 sec? After 6 sec?
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
How many different trains of white (1x1) and/or red (1x2) rods are there of a given length N? Find at least 2 ways to justify your solution
In which year will the percentage of voters from group A be the same as the percentage of voters from group B? What percent will be from group A and what percent will be from group B that year?
Prove the given Φ is either a trival homomorphism or 1- 1.
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
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