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7 months ago

Check off the methods of differentiation required, and complete the derivative.

Mathematics

1 answer:

kogti [31]7 months ago

6 0

Given:

$f(x)=\sqrt[]{5x^2-2}$

f(X) will be differentiated by chain rule.

$\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}$

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What is the answer for -7x= -96

Darina [25.2K]

Hello!

To solve, this, perform the opposite operation of what is being done on both sides. Here, we see x being multiplied by -7. The opposite operation of multiplication is division.

Therefore, to solve this, divide both sides by -7.

-7x = -96

-7x / -7 = -96 / -7

x = -96/-7

When you divide two negative numbers, they become a positive.

x = 96/7

This cannot be simplified further as a fraction, but if you would like the exact decimal, it is about 13.714.

Hope this helps!

6 0

2 years ago

you deposited 8500 dollars in a savings account that earns a simple interest rate what interest rate do you need to be paid if y

anzhelika [568]

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=5\ years\\ P=\$8,500\\ A=\$10,093.75\\r=?$

substitute in the formula above

$10,093.75=8,500*(1+r*5)$

solve for r

$5*r=(10,093.75/8,500)-1$

$r=0.0375$

$r=3.75\%$

therefore

the answer is

the rate of interest is $3.75\%$

3 0

3 years ago

What are the answers ?

Oksanka [162]

Answer:

no idea

Step-by-step explanation:

i think it just rubbish

4 0

2 years ago

Consider the initial value function y given by

Nuetrik [128]

Answer:

y(s) = $\frac{5s-53}{s^{2} - 10s + 26}$

we will compare the denominator to the form $(s-a)^{2} +\beta ^{2}$

$s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$

comparing coefficients of terms in s

$s^{2} :$ 1

s: -2a = -10

a = -2/-10

a = 1/5

constant: $a^{2}+\beta ^{2} = 26$

$(\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09$

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = $A(s-a)+B((s-a)^{2} +\beta ^{2} )$

we insert the values of a and β

$\\5s-53$ = $A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )$

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

the constants are

a = 0.2

β = 5.09

A = 5.4

B = -2

Step-by-step explanation:

since the denominator has a complex root we compare with the standard form $s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}$
Expand and compare coefficients to obtain the values of a and β as shown above
substitute the values gotten into the function
Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0

2 years ago

In the figure angle G measures 102° and angle B measures 30° what is the measurement of angle B

Sedaia [141]

30 degrees is what the answer is because it says it in the question

7 0

2 years ago

Read 2 more answers