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IrinaVladis [17]
3 years ago
9

Calc help!

Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

(fg)'(5) = -40

(f/g)'(5) = -68/36

(g/f)'(5)= 17

Step-by-step explanation:

(fg)'(5) =

Applying the product derivative:

fg(5) = f^{\prime}(5)g(5) + g^{\prime}(5)f(5) = 9*(-6) + 7*2 = -54 + 14 = -40

(f/g)'(5) =

Applying the quotient derivative

(\frac{f}{g})^{\prime}(5) = \frac{f^{\prime}(5)g(5) - g^{\prime}(5)f(5)}{g(5)^2} = \frac{9*(-6) - 7*2}{6^2} = -\frac{68}{36}

(g/f)'(5)=

(\frac{g}{f})^{\prime}(5) = \frac{g^{\prime}(5)f(5) - f^{\prime}(5)g(5)}{f^{\prime}(5)^2} = \frac{7*2 - 9*(-6)}{2^2} = \frac{68}{4} = 17

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(-4, 2.5)

Step-by-step explanation:

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3 years ago
Jessie claims that if any number is doubled and then increased by 1, the result will be greater than 4.
Kamila [148]

Answer:

n = 1

Step-by-step explanation:

1 x 2 = 2
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3 0
2 years ago
4-62. Find the area and perimeter of the<br> below shape.<br> 7.6 ft<br> 3 ft<br> 7 ft<br> 7 ft
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Answer:

area= 59.5    perimeter=31.6

Step-by-step explanation:

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Step-by-step explanation:

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5 0
3 years ago
1. My number has two digits.
lana [24]

\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}

\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}

1. My number has two digits.

  • 59 is a two-digit number. ✔

2. Double my number is less than 150.

  • Double of 59 is 118, which is less than 150. ✔

3. I am not divisible by 12.

  • Since 59 is an odd number, hence it is not divisible by 12. ✔

4. My digits are different from each other.

  • The digits 5 and 9 are different. ✔

5. The second digit in my number is divisible by an odd number.

  • 9 is divisible by an odd number, i.e. 3. ✔

6. My first digit is less than my second digit.

  • 5 is less than 9. ✔

7. My digits add up to 14.

  • 5 + 9 gives us 14. ✔

Therefore, the required number is \sf\pink{59}.

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

7 0
3 years ago
Read 2 more answers
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