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Lesechka [4]
3 years ago
7

I am studying for a Calculus test and have the answers for the study guide but I'm having trouble with problems 2, 3, 4 (finding

maximums and minimums for each) as well as #9 (computing the limit). The answers are written next to each question.

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0
#2) Use quotient rule
\frac{f'g - fg'}{g^2}
Remember for solving log equations:
e^{ln x} = x

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.

#4 Use Quotient rule

#9  Use double angle identity for tan
tan(2x) = \frac{2tan x}{1-tan^2 x}
This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.

Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />
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PLEASE ANSWER
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Answer:

x(1 - .4)

Step-by-step explanation:

x = regular price.

1 - .4 = .6 = 60%

The sale price is equal to the full price (aka x) minus the discounted price (40% of x = 40/100 times x =  .4x)

Therefore sale price = x - .4x or x(1 - .4)

4 0
3 years ago
What is the five-number summary for the data set? 340 245 322 766 88 455 160 244 483 610 527
damaskus [11]
245 455 527 I hop that helps I wasn't sure
6 0
3 years ago
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Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
EleoNora [17]

Answer:

Step-by-step explanation:

There is really no way to show that of I know of without drawing it but here is this. I hope this helps and not really exact on position but that is very close.

4 0
2 years ago
I’ll give u brainliest!!<br> what is the area of shape 1, 2 and 3
nevsk [136]

Answer:

Shape 1: 25.915

Shape 2: 102.85

Shape 3: 142

Step-by-step explanation:

For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.

3 0
3 years ago
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Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

or

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

or

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

or

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0
2 years ago
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