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Evgesh-ka [11]
3 years ago
5

I need some help with this calculus 1 implicit diffrention problem?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

y" = -24 / y³

Step-by-step explanation:

6x² + y² = 4

Take the derivative of both sides with respect to x.

12x + 2y y' = 0

Again, take the derivative of both sides with respect to x.

12 + 2y y" + y' (2y') = 0

12 + 2y y" + 2(y')² = 0

Solve for y' in the first equation.

2y y' = -12x

y' = -6x/y

Substitute and solve for y":

12 + 2y y" + 2(-6x/y)² = 0

12 + 2y y" + 2(36x²/y²) = 0

12 + 2y y" + 72x²/y² = 0

6y² + y³ y" + 36x² = 0

y³ y" = -36x² − 6y²

y" = (-36x² − 6y²) / y³

Solve for y² in the original equation and substitute:

y² = 4 − 6x²

y" = (-36x² − 6(4 − 6x²)) / y³

y" = (-36x² − 24 + 36x²) / y³

y" = -24 / y³

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Aleksandr [31]

The missing parts of the table for the function are 49, 1 and 49 respectively

<h3>How to complete the missing parts of the table?</h3>

An exponential function is a type of function which involves exponents. A simple exponential function is of the form y = bˣ

Given:  the exponential function y = (1/7)ˣ

In order to find the missing parts, we have to substitute the relevant values into the function. Thus:

For x = -2:

y = (1/7)ˣ

Substitute x = -2 into the function:

y = (1/7)⁻² = 49

For x = 0:

y = (1/7)ˣ

Substitute x = 0 into the function:

y = (1/7)⁰ = 1

For x = 2:

y = (1/7)ˣ

Substitute x = 2 into the function:

y = (1/7)² = 1/49

The missing part is 49

Therefore, the missing parts of the table are 49, 1 and 49 respectively

Learn more about exponential function on:

brainly.com/question/27161222

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7 0
11 months ago
According to a college survey, 22% of all students work full time. Find the standard deviation for the random variable X, the nu
mixer [17]

Answer:

1.66

Step-by-step explanation:

Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size

Using this formula

Standard deviation(X)=√np(1−p)

Where,

n represent the number of students=16

p represent the percentage of all students who work full time=22

Let plug in the formula

Standard deviation(X)=√16(0.22)(1−0.22)

Standard deviation(X)=√(3.52)(0.78)

Standard deviation(X)=√2.7456

Standard deviation(X)=1.656

Standard deviation(X)=1.66 (Approximately)

Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66

8 0
3 years ago
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denpristay [2]

Answer:

0.875

Step-by-step explanation:

7/8 as a decimal is 0.875. Another was of thinking of this is the number '7' is 87.5 percent of the number '8.

5 0
2 years ago
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OLga [1]

Answer:

95.03in.^2

Step-by-step explanation:

Use the formula, A= pi r^2 and D=2r

A=1/4pi d^2=1/4 times pi time 11 squared

4 0
1 year ago
Awnswer ASAP I am so stuck
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Answer:

x < - 3

Step-by-step explanation:


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