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3 years ago

11

Find the equation of the tangent line to the function f(x) = 3x3 - x + 2 at a =0

1 answer:

ANTONII [103]3 years ago

6 0

Answer:

y=(9a^2-1)x-6a^3+2

Step-by-step explanation:

You might be interested in

Hank draws a line with a zero slope through the points (-2,4) and (3.b).which value of b could represent hanks second point ?

Agata [3.3K]

B = 4

A line with a slope of zero is a perfectly horizontal line, which means the y value (the second value) stays the same for every single point on the line.

So, if y equals 4 in the first point, then y still equals 4 in the second point, which means b is equal to 4.

4 0

4 years ago

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Shelby is creating a budget for the week. At her job she earns $15.50 per hour. Her rent cost $300. Shelby wants to have at leas

netineya [11]

Answer:

15.5x - 300 >= 280

Step-by-step explanation:

Let x = the number of hours she works.

The amount of money she earns will be 15.50x

Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:

15.5x - 300

This amount has to be over 280, so our inequality will be:

15.5x - 300 >= 280

8 0

2 years ago

dybincka [34]

Answer:

C

Step-by-step explanation:

both 4 and -4 are 4 units away from 0

8 0

3 years ago

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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

$S'(t) = 0.09t^{2} + t + 9$

Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0

3 years ago

Tom and Jerry both get paid $5 per hour. Tom worked twice as many hours as Jerry. How much did they get paid altogether?

Natasha_Volkova [10]

Answeryou in collge

Step-by-step explanation:

3 0

3 years ago

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