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Pavlova-9 [17]
3 years ago
15

Calculus question, PLEASE HELP WITH THIS, due tonight!!

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

(a) f(0) = 1

(b) f(3) = 5 (I'm not sure about this one, it's either this or undefined)

(c) f(-2) = 3

(d) \lim_{x\to -3^+} f(x)=1

(e) \lim_{x \to -2} f(x)=1

(f) \lim_{x \to 1^-} f(x)=2

(g) \lim_{x \to 1} f(x)= DNE, because the limit of x--> 1 from the left is 2, and the limit from the right is 1. Because they don't approach the same value from both sides, the limit doesn't exist.

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Jake is traveling 13 mph in his boat. After 3 hours, how far will he have traveled?
Ber [7]
Multiply 13 by 3

13 * 3 = 39 miles

Hope this helps :)
6 0
2 years ago
Read 2 more answers
A professor using an open source introductory statistics book predicts that 10% of the students will purchase a hard copy of the
Likurg_2 [28]

Answer: The professor was not accurate with his hypothesis.

Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternate hypothesis: At least one proportion of the student will differ from the others.

Step-by-step explanation: To check if the professors hypothesis were inaccurate.

What percentage of student bought a hard copy of the book.

(25 ÷ 200) × 100 = 12.5%

What percentage of the student printed it from the web.

(85 ÷ 200) × 100 = 42.5%

What percentage of the students read it online.

(90 ÷ 200) × 100 = 45%

This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.

Therefore; the null hypothesis are

P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternative hypothesis will state that at least one of the proportion will be different from the others.

5 0
3 years ago
A garage charges $24 an hour for labour. The garage charges Nigel $336 labour to replace the engine in his car. For how many hou
Lelechka [254]

Answer:

14 hours

Step-by-step explanation:

336/$24 = 14 hours

8 0
3 years ago
Read 2 more answers
2x^2+3x-2, a=0 How do I find the derivative?
Ghella [55]

You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

<em>y</em> + 2 = 3<em>x</em>

<em>y</em> = 3<em>x</em> - 2

5 0
3 years ago
on a map where each unit represents 100 miles , two airports are located at p(1,17) and q(12,10) what is the distance to the nea
dlinn [17]

Answer:

849 miles

Step-by-step explanation:

d = [(12-1)^2+(10-17)]^(1/2)

d = 8.49*100 = 849 miles.

7 0
3 years ago
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