MATH 165 Midterm: MATH 165 Iowa State MidtermDMF15Fall2016

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turquoisegnu128

15 Feb 2019

School

Iowa State University

Department

Mathematics

Course

MATH 165

Professor

All

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Document Summary

This part of the exam has 8 problems for a total of 40 possible points. You may not use a calculator on this section. You must show all work, but you need not simplify your answers unless instructed to do so. This part of the exam will be collected after 40 minutes. 7r2 + 15 5 r 3 2 + 12 . The graph of y = f (x) is shown below. For each of the following limits, evaluate the limit or tell why the limit does not exist. i. lim x 2 (cid:0)(x2. Evaluate z2 z2 or give reasons why the limit does not exist. lim z 4. Find an equation for the line tangent to the graph of at the point on the graph with x = 3. y = 2(x2 + 1) ln(x 2) + 3. At time t hours, the temperature in coolville is given by. T (t) = ( 10 + 12t t2) c.

Related Questions

1. What is the area of the region bounded by the curves y = 2x^2 - 7 and y = 2/x between x=1 and x=3?

The answer I get, both by calculator and by hand, is 2ln(3) - 10/3. According to the test, it is 4ln(2) - 2ln(3) + 8. Even my calculator doesn't think that is equivalent.

This is from a Straighter Line test. They have been known to have some errors on their tests. If this is one of them, please inform me.

2. The second question is one I never really learned the way to do. I know how to get four points from it. But the rest of my methods seem convoluted. It is: what is the area of the parallelogram whose edges are the lines y = - 1/2 * x - 1, y = x + 2, y = - 1/2 x + 2, and y = x - 5/2. What is the way to do this? Or, is there a particularly efficient and quick way to do it?

These two questions are from Calculus I. I mention this in case it helps to contextualize what methods you would recommend I answer this with. The Straighter Line course I am taking is very bad in regards to presenting all the information you need to know--if fact, it doesn't--so I have had to pick up quite a few things on the side myself. I may not have learned what I am supposed to do with some of these situations. But, I think the first of the two questions may be the result of an error on the part of Straighter LIne.

Ah, so, thank you for any answers.

MATH 165 Midterm: MATH 165 Iowa State MidtermDMF15Fall2016

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