All categories

3 years ago

Find an equation of the tangent line to the curve at the given point. y = ln(x2 ? 7x + 1), (7, 0)

1 answer:

3 0

Take derivitive
remember chain rule
dy/dx=1/(x² ? 7x+1) times (2x ? 7)
dy/dx=(2x ? 7)/(x² ? 7x+1)
inputting x=7

the slope at x=7 is (14 ? 7)/(49 ? 49+1)=(14 ? 7)/(49 ? 50)
the slope is (14 ? 7)/(49 ? 50)
use point slope form
y-0=(14 ? 7)/(49 ? 50)(x-7)
y=(14 ? 7)/(49 ? 50)(x-7)

I'm going to take a wild guess that the ? means minus because you were able to type a plus sign
in that case, it would be
y=-2(x-7)

You might be interested in

a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, λ = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

The probability mass function of X is given by:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$

Compute the probability of X = 2 as follows:

$P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241$

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0

3 years ago

Read 2 more answers

ASAP

Arturiano [62]

Answer:

55 is 11% of 500.

You invested 500$

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Select all of the solutions to the equation below.

Arada [10]

Answer:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

Step-by-step explanation:

12 x 2+23 x −24=0. Enter an equation ... The first term is, 12x2 its coefficient is 12 . ... B ± √ B2-4AC x = ———————— 2A In our case, A = 12. B = 23. C = -24

8 0

3 years ago

(6×1,000)+(1×100)+(2×10)+(9× 10 1 )+(4× 100 1 )=?

stiv31 [10]

Answer:

11033

Step-by-step explanation:

3 0

2 years ago

Pls help will give brainliest

weeeeeb [17]

Answer:

<h2>Both classes will have the same value for the third quartile </h2>

Step-by-step explanation:

This is it because the 3rd quartile is where the maximum or whisker is. Hope this helps!

6 0

3 years ago