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Researchers find a creature from an alien planet. its body temp is varying sinusoidally with time. 35 minutes after they start timing, it reaches a high of 120F. 20 minutes after that it reaches a low of 104F.
A. sketch a graph (tell me what goes on the X & Y axis)B. write an equation expressing temp in terms of minutes since they started timing.C. what was its temp when they 1st started timing?D. find the first 3 times after they started timing at which the temp was 114F.
A sphere of fixed radius R is enclosed in a cone of height h and radius r. Express the volume V of the cone as a function of the slant angle of the cone.
Assume the readings on a thermometers are normally distrubuted with a mean of 0 degree C and a standard deviation of 1.00 degree Celsius. Find the proabilitys that a randomly selected thermometer read leass than 1.43.
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
You are planning to spend no less than $6000 and no more than 10,000 on your landscaping project. Write an inequality that demonstrates how much money you are willing to spend on the project?
Find p-value and interpret its meaning
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
Finding a simple random sample
Find a number in the closed interval 1/2, 3/2 such that the sum of the number and its reciprocal is as large as possible.
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
Find the total distance from the given particle - Evaluate the total distance traveled by the particle from t = 0 and t = 4
One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute..
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