3 years ago

Why is the quotient of 3 and 6 an ambiguous phrase?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

6 0

Because it does not specify the order and in division, the order matters.

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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

find all the solutions of sec theta - 2 =0. It says use "or" as necessary and gives an example of kpi.

swat32

Sec t (theta) - 2 = 0
sec t = 2
1/ cos t = 2
cos t = 1/2
Answer:
t = π / 3 + 2 k π , or : t = 5 π / 3 + 2 kπ,
k ∈ Z

5 0

3 years ago

How many times does the digit 8 appear from 1 - 800?

faltersainse [42]

Answer:

idk

Step-by-step explanation:

idk

8 0

2 years ago

two Brothers Marvin Lewis each invest $5000 into an account that earns 5% interest neither brothers deposit or withdraw anything

NNADVOKAT [17]

Answer: Marvin will earn $10,681.77 more in interest than Luis

Step-by-step explanation: A = P(I+r)t

5 0

3 years ago

Evaluate (3)^2 + (-2)^4

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

3^2=9

-2^4=16

9+16=25

7 0

3 years ago

Read 2 more answers