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1. Find the points where the tangent to the graph of the equation y = 1/3 x3 + 3/2 x2 + 2x is horizontal.
2. Find the equation of the tangent line to graph f(x) = 2x3 + 2x2 + 10 at point (-2, 2).
3. Find the slope of the tangent line to the graph of y = 1/x at (3, 1/3).
4. What is the slope of the normal to f(x) = 2x2 + x at point (3, 21)?
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?
It will take 110 use of fencing to enclose a rectangular field. The area of the field is 484 yes squared. What are the detentions of the field?
Perform post hoc comparisons if necessary and what conclusions can be drawn from the F- ratio and the post hoc comparisons?
What is the area between a raw score of 113 and 126 in a normal distribution with a mean of 100 and a standard deviation of 10 ?
The differential equation : P(x,y) dx + Q (x,y) dy = 0 is not exact. However, if it is multiplied by an integrating factor F(x), it can be made exact. Show that the integrating factor F(x) is given by the solution of the following differential equati..
Construct a stem and leaf plot of the data.
Use Euler's method to determine the first three approximations to the given initial value problem and Each sample problem has three solutions with an initial point, moving over delta x and moving over by delta x again.
How many employees should we sample if we want to change the ME to 2.5 with 90% confidence?
Describe the application that you have found and clearly explain and summarize the important mathematical ideas in your own words.
What is the frequency, in millions of Hertz (megahertz), of this radio station? Round your answer to the nearest tenth of a megahertz.
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = +1.85. Based on this result what is the correct statistical decision?
Compute the expected number of silver dollars in the pot after turn n ∈ N - Compute the probability that the game will stop eventually.
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