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Fittoniya [83]
2 years ago
9

A teacher gave a benchmark test to see how well her students were prepared for an

Mathematics
1 answer:
WARRIOR [948]2 years ago
6 0

Answer:

rcfnjcndcndc

Step-by-step explanation:

d

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
adoni [48]

Answer: The required derivative is \dfrac{8x^2+18x+9}{x(2x+3)^2}

Step-by-step explanation:

Since we have given that

y=\ln[x(2x+3)^2]

Differentiating log function w.r.t. x, we get that

\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}

Hence, the required derivative is \dfrac{8x^2+18x+9}{x(2x+3)^2}

3 0
3 years ago
7 | 3 + T | + 8 < 43
ziro4ka [17]

Answer:

T<7

Step-by-step explanation:

21+7T+8<43

29+7T<43

7T<43‒29

7T<14

7T/7<14/7

T<7

i think it is clear &i hope it helps you

3 0
3 years ago
(6ƒ² − 9ƒ + 10) − (− 2ƒ² − ƒ+3)
stepan [7]

Answer:

Step-by-step explanation:

6f^2 - 9f + 10 + 2f^2 + f - 3

8f^2 - 8f + 7

5 0
2 years ago
Read 2 more answers
How do you solve (20.3×0.7)×7 with pemdas step by step
JulijaS [17]
TheProfessor35's answer is correct, but here's a step by step as you asked. PEMDAS stands from Parentheses Exponents Multiplication Division Addition Subtraction. So, in the problem, you first solve the part inside the parentheses. Are there exponents? No, so we move on. Anything need to be multiplied? Yes, 20.3 x 0.7. That gives us 14.21. Now, there is nothing left in the parentheses to be divided, added, or subtracted, so we move on to the outside. We multiply 14.21 by 7 and get 99.47.
3 0
3 years ago
Read 2 more answers
George walked at a rate of 1/3 miles every 20 minutes. What was his walking rate in miles per hour? SHOW YOUR WORK!
goblinko [34]

HIS walking rate was 1 mile per hour  because 20min times 3 is 1 hour, and 1/3 times 3 is 1 mile   thus 1mph     if can plz mark brainliest

7 0
3 years ago
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