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Use the Remainder Theorem to find (-4) for the equation f(x) = 2x 3 - 3x 2 - 45x - 54. 5.
Find the horizontal asymptotes, if any, of the rational functions. a. (x) = 12x 2 3x+1 b. g(x) = 12x 2 3x 2+1 c. h(x) = 12x 3x 2+1 6.
If you are given the equation of a rational function, explain how to find the vertical asymptotes, if any, of the function's graph.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -3.
Consider the set T = {y ∈ Q: 0 ≤ y ≤ x} where x is defined as above. Determine its maximum and minimum if they exist. Determine its supremum and infimum. Detailed proofs are not required, but you should justify your answers. State the definition f..
Determine the number of solutions you will have for the system 4y+x=16 and y=4-x. Is it none, impossible to determine, indefinite or one.
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
a coin is tossed 4 times.nbsp let a be the event that the first toss is heads.nbsp let b be the event that the third
Eight hours of nightly sleep is not the health panacea you were brought up to believe, according to a study released suggesting a link between too much slumber and a shorter life span.Sleep experts immediately sought to discredit the conclusions and ..
Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
Given the explicit solution from part (a), what is the largest possible t-interval on which the explicit solution makes sense?
Use Euler's method with step size 0.1 to estimate y(1.4), where y(x) is the solution of the initial-value problem below. Give your answer correct to 4 decimal places.
Write the appropriate letter in the blank next to the Venn diagram. If the Venn diagram shading is not defined by any expressions, type the letter N into the blank. Letters may be used more than once.
The present value of annuity
Colleges and universities, like all business, have strengths, weaknesses, and competitors. What would you consider to be an online university's internal strengths and weaknesses?
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