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3 years ago

Evaluate x^3-3y when x=-3 and y=4

Mathematics

1 answer:

klio [65]3 years ago

8 0

Answer:

If you would like to solve x^3 - 3 * y when x = - 3 and y = 4, you can do this using the following steps:

x = - 3

y = 4

x^3 - 3 * y = (-3)^3 - 3 * 4 = -27 - 12 = - 39

The correct result would be A -39.

Step-by-step explanation:

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12345 [234]

$y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}$

Product rule:

$y' = \bigg((2ax^2+c)^2\bigg)' (bx^2-cx)^{-1} + (2ax^2+c)^2 \bigg((bx^2-cx)^{-1}\bigg)'$

Chain and power rules:

$y' = 2(2ax^2+c)\bigg(2ax^2+c\bigg)' (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} \bigg(bx^2-cx\bigg)'$

Power rule:

$y' = 2(2ax^2+c)(4ax) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} (2bx - c)$

Now simplify.

$y' = \dfrac{8ax (2ax^2+c)}{bx^2 - cx} - \dfrac{(2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y' = \dfrac{8ax (2ax^2+c) (bx^2 - cx) - (2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y = \dfrac{3bx + ac}{\sqrt{ax}}$

Quotient rule:

$y' = \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{\left(\sqrt{ax}\right)^2}$

$y'= \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{ax}$

Power rule:

$y' = \dfrac{3b \sqrt{ax} - (3bx+ac) \left(-\frac12 \sqrt a \, x^{-1/2}\right)}{ax}$

Now simplify.

$y' = \dfrac{3b \sqrt a \, x^{1/2} + \frac{\sqrt a}2 (3bx+ac) x^{-1/2}}{ax}$

$y' = \dfrac{6bx + 3bx+ac}{2\sqrt a\, x^{3/2}}$

$y' = \dfrac{9bx+ac}{2\sqrt a\, x^{3/2}}$

$y = \sin^2(ax+b)$

Chain rule:

$y' = 2 \sin(ax+b) \bigg(\sin(ax+b)\bigg)'$

$y' = 2 \sin(ax+b) \cos(ax+b) \bigg(ax+b\bigg)'$

$y' = 2a \sin(ax+b) \cos(ax+b)$

We can further simplify this to

$y' = a \sin(2(ax+b))$

using the double angle identity for sine.

7 0

2 years ago

Find the value of a that makes the statement true. <br> 3^-1/3^4=3^a

Snezhnost [94]

_
A= -1.3
negative 1. repeating 3.

HOPE I HELPED! :)

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5 0

4 years ago

Read 2 more answers

What is the value of 6x^3 +8x when x = 5

sertanlavr [38]

Just sub x in with 5.
So 6(5)^3+8(5) = 6 (125) + 40 = 750 + 40 = 790.
So 790

6 0

4 years ago

Read 2 more answers

Solve the system of equations alphabetically. Verify your answer using the graph. y = 4x -5, y =-3

vazorg [7]

So, since both equate to y, we can solve for x by equating the equations to each other.
4x - 5 = -3
So: 4x = 2
So: x = 1/2, or 0.5
Now, y = -3, so the solution is (0.5, -3)
You can graph the two equations, and the point where they meet will be (0.5, -3).

8 0

4 years ago

A bakery sells cakes for $23 And a dozen cupcakes for $18. In one day they sold 72 items and made a total of $1446. Which system

katrin2010 [14]

Answer:

23c+18x=1446

Step-by-step explanation:

3 0

3 years ago