Number 19 and number 20 please

Evgen [1.6K]

Answer:

$\purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}$

Step-by-step explanation:

$y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}$

8 0

2 years ago

Which expression represents eight times a number, v?

Readme [11.4K]

I’m pretty sure it’s B

6 0

2 years ago

Read 2 more answers

Geometry Question Need Help. Solve for x:

diamong [38]

Answer:

im not sure

Step-by-step explanation:

sorry

5 0

2 years ago

What is the prime factorization for 50 using exponents

Simora [160]

Answer:

10 × 5

2 × 25

1 × 50

Step-by-step explanation:

4 0

3 years ago

Hey i need help!!!!<br> What do the following two equations represent?<br> *6x-15y=15<br> *y=2/5x-1

Rina8888 [55]

The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.

<h3>What is equation?</h3>

Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.

All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.

We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1

Let solve for y = 2/5x-1

in 6x - 15y = 15

⇒ 6x - 15(2/5x-1) = 15

⇒ 6x - 6x + 15 = 15

⇒ 15 = 15

⇒ This mans they have slope

⇒ 6x - 15y = 15 in y-intercept form

⇒ 15y = 6x - 15

⇒ y = (6x - 15)15

⇒ y = 2/5x - 1

Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.

Learn more about equation

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7 0

1 year ago