All categories

3 years ago

Find (a) the slope of the curve at the given point p, and (b) an equation of the tangent line at p. y=−2−9x2; p(2,−38)

Mathematics

1 answer:

Neporo4naja [7]3 years ago

6 0

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

y = -36x +34

You might be interested in

Please help me answer this. I think that for the first one the answer is A, but I am not sure. There are two parts to the questi

Anika [276]

Vector $PQ=(7-5, 3-4)=(2, -1)$ . $4RS=4 \cdot (4-8, 1-6) = 4 \cdot (-4, -5) = (-16, -20)$ . So the sum is $(-14, -21)$ .

For the second, the magnitude is the square root of the sum of the squares of the components. This is equal to $\sqrt{(-14)^2+(-21)^2} = \sqrt{637}=7\sqrt{13}$ .

4 0

3 years ago

Read 2 more answers

6. Marisol plans to make 9 mini-sandwiches for

Oksanka [162]

Answer:

18/4

Step-by-step explanation: in order to get an equivalent ration just multiply both numerator and denominator by the same number

in this case I multiplied by 2 and got 18/4

3 0

3 years ago

Read 2 more answers

Evaluate the expression if m = 3. 3m^2 (SHOW YOUR WORK)

iragen [17]

The value of given expression when m = 3 is 27

<h3>Solution:</h3>

Given expression is $3m^2$

We have to evaluate the given expression for m = 3

To find for m is equal to 3, substitute m = 3 in given expression

From given expression,

$\rightarrow 3m^2$

Plug in m = 3 in above expression

$\rightarrow 3(3)^2$ ------ eqn 1

We know that,

$a^2$ can be expanded as,

$a^2=a \times a$

Applying this in eqn 1, we get

$\rightarrow 3(3)^2=3 \times (3 \times 3)$

Simplify the above expression

$\rightarrow 3(3)^2=3 \times (3 \times 3) = 3 \times 9 = 27$

Therefore, for m = 3 we get,

$\rightarrow 3(3)^2=27$

Thus value of given expression when m = 3 is found

5 0

3 years ago

I need help! Please! 30 points!

Arada [10]

I'm sorry and I feel that your probably going to get mad, but we can't answer this question without knowing what those drag-and-drop options are! I hope that you can quickly re-post this, and then I will be able to help you! Sorry!

Miri