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3 years ago

Simplify (6x^2-3-5x^3)-(4x^3+2x^2-8)

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

First collect the like terms together

evablogger [386]3 years ago

5 0

4x^2-9x^3+5 you must first add the minus sign to the numbers in the second set of parenthesis then add like terms

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Find derivative problem Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

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3 years ago

If you can answer these simple questions im giving brainly :)

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Answer:

65 3 46

Step-by-step explanation:

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Blizzard [7]

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Write the equation of the parabola in vertex form. With a vertex (–4, 3), and a point (4, 131)

Vlad [161]

Vertex form : y=2(x+4)^2 + 3

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If f (x) = 3, what is the value of f (-7) A. x -10 B. 3 C. -4 D. -21

Gemiola [76]

Answer:

Step-by-step explanation:

3*(-7)=(-21)

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