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3 years ago

Find the derivative of e^(lnx)^2

Mathematics

1 answer:

trapecia [35]3 years ago

8 0

D(e^(In(x))^2)/dx = 2 In(x) * 1/x * e^(ln(x))^2 = (2e^(ln(x))^2 * In(x)) / x

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If (a+b+c) = 5 and ab+bc+ac = 10. Prove that a3+b3+c3 -3abc = -25

maks197457 [2]

Answer:

see explanation

Step-by-step explanation:

Using the identity

(a + b + c)³ = a³ + b³ + c³ + 3 [ (a + b + c)(ab + bc + ac) - abc ], then

5³ = a³ + b³ + c³ + 3(5 × 10) - 3abc, that is

125 = a³ + b³ + c³ + 150 - 3abc, hence

a³ + b³ + c³ - 3abc = 125 - 150 = - 25

3 0

3 years ago

Monica opens a savings account with an initial deposit of $500. She earns 3.6% compound interest each quarter. How much would th

ExtremeBDS [4]

Answer:

$P =500, r = 0.036, t = 5 , n=4$

n=4 because we have a quarterly rate

After replace the values given we got:

$A =500 (1+\frac{0.036}{4})^{4*5} = 598.127$

If we round this answer to the nearest number we got approximately $598 after 5 years.

Step-by-step explanation:

For this case we can ue the compund interest formula for the future value given by:

$A = P(1 +\frac{r}{n})^{nt}$

Where P represent the initial amount , t the number of years and r the rate of interest on fraction. The value of n represent the number of times that the interest rate is compound in a year

For our case we have:

$P =500, r = 0.036, t = 5 , n=4$

n=4 because we have a quarterly rate

After replace the values given we got:

$A =500 (1+\frac{0.036}{4})^{4*5} = 598.127$

If we round this answer to the nearest number we got approximately $598 after 5 years.

7 0

3 years ago

Mr Thompson uses a brace to support a Gate write and solve an equation to find the measure of the unknown angle.

algol [13]

Use the pythagorean theorem (A squared + b squared = c squared

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3 years ago

Health experts agree that cholesterol intake should be limited to 300 mg or less each day. Three ounces of shrimp and 2 ounces o

Len [333]

Answer:

i think its 5 maybe not for sure but im feeling kinda stong about

Step-by-step explanation:

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3 years ago

What is the exact situation

Luda [366]

Number Two or B would be correct

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2 years ago