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3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

qaws [65]3 years ago

8 0

16/12 = (x-1)/6
x-1 = 4/3 . 6
x = 24/3 + 1 = 9

32/24 = (y+1)/21
y+1 = 4/3 . 21
y = 84/3 - 1 = 25

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bearhunter [10]

a) The tangent to $y=e^{ax}$ at $x=p$ has slope

$y' = ae^{ax} \implies y'(p) = ae^{ap}$

and $y=e^{ap}$ at this point. It passes through the origin, so its equation is

$y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x$

It also passes through the point $(p,e^{ap})$ on the curve, so

$y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}$

By substitution,

$ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}$

b) The normal to $y=e^{ax}$ at $x=2p$ has slope

$-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1$

It follows that

$ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}$

c) The tangent line equation is then

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2 years ago

A customer calls and has questions about the bill for their first month's subscription. They want to know why the monthly rate i

HACTEHA [7]

Answer:

The subscription began about 10 days before the 15th of the month.

Step-by-step explanation:

The correct option is:

The subscription began about 10 days before the 15th of the month.

The reason for being charged $60 instead of $45 which is the monthly rate is that they started the subscription prior the the cycle date of the bill period. Due to the change in the cycle date, the customer is getting a prorated charge for the days that had service prior to the date of the bill and current cycle starting

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3 years ago

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Katyanochek1 [597]

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4 years ago

Read 2 more answers

12. What is the equation of the following parabola?

Vladimir79 [104]

Answer:

Step-by-step explanation:

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3 years ago

If m2 DOC = 44º and m2 COB = 80°,

melomori [17]

Answer:

44°

Step-by-step explanation:

Given:

m<DOC = 44°

m<COB = 80°

Required:

Angle measure of arc DC

SOLUTION:

A central angle is said to be equal to the angle measure of the arc it intercepts or corresponds with. Therefore, angle measure of arc DC = m<DOC.

measure of arc DC = 44°

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3 years ago