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1. Find the derivative of the function y= (4x+5)^3(3x+1)^-5 dy/dx=
2. F(z)= (2z+e^-z^2)^3 Find the derivative of the following function.
3. The weight of cactus wrens in grams has been found to fit the logistic function with k=0.0125 and the age in days . the intial weight is 2.34 g and the maximum size is 31.2 g
a) Find the growth function G(G) for cactus wrens
Find the weight and rate of growth at the following times b) 1 day, c) 4 days, d)11 days e)what happens to the rate of growth over time
A baker has 25 pounds of wheat and 5 pounds of sugar. To bake each loaf of bread, the baker needs to use 1.3 pounds of wheat and 0.5 pound of sugar
Find an equation of the tangent line to the curve y(x) = (9/(sin(x)cos(x))+(3sin(x)/(sec(x)cos(x)) at the point (1/5 Pi, y(1/5 Pi))
A plane has capacity 15, 921 pounds. A company wants to ship two types of motorcycles, one 957 pounds and one 609 pounds. Determine the ways to make up a full load with these two types of motorcycles
One ship leaves a port at 1:00 P.M. traveling at 13 mph at a heading of 75o. At 2:00 P.M. another ship leaves the port traveling at 17 mph at a heading of 148o. Find the distance, to the nearest mile, between the ships at 3:00 P.M.
Analyze the data using graphical representations & numerical summaries.
A druggist fell victim to a fire the day after receiving a small shipment from the warehouse. The shipment consisted of 15 cases of cold tablets, vitamins.
Find all allowable states of the puzzle, where neither the wolf and the goat nor the goat and the cabbage are left on the same shore without the farmer.
The size, P, of a certain insect population at time t (in days) obeys the equation P = 500e0.02t. What is the initial population of the insect population
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
a. Express the prime number 31 as the difference of two squares?
Suppose that x measures the time (in hours) it takes for a student to complete an exam. All students are done within two hours and the density function for x.
There are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items.
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