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2 years ago

10 points! What is 224+(7+5*3^2)=

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

3 0

2×2×4+(7+5×3²)=16+(7+45)=68.
The answer is 68

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

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

8 0

3 years ago

5<br> 8<br> y<br> Find the exact value of y.<br> y =

inn [45]

Answer:

$y=2\sqrt{10}$

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

$\frac{AD}{DB}=\frac{DB}{CD}$

By substituting values in the given ratio,

$\frac{5}{y}= \frac{y}{8}$

$y^2=8\times 5$

$y^2=40$

$y=2\sqrt{10}$

Exact value of y is $2\sqrt{10}$ .

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3 years ago

A smart TV is on sale for 10% off. If the original price is $1,200, what is the sale price?

inysia [295]

Answer:

$1,080 please mark brainliest if satisfied

Step-by-step explanation:

1200 times 0.1 equals 120

1200 minus 120 equals 1080

6 0

2 years ago

Read 2 more answers

3. Kevin went to the nursery and bought a 5 ft tall tree. After planting the tree, Kevin made a table to record the height, h, o

Rina8888 [55]

Answer:

uh where's the rest of the question?

Step-by-step explanation:

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2 years ago

Which results only in a horizontal compression of Y = by a factor of 6?

elena55 [62]

Answer:

Y = 6*y

Step-by-step explanation:

We have Y = b * y by a factor of 6.

That is, b = 6.

now, to find what results only in a horizontal compression of y = b * y by a factor of 6.

By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.

Therefore, knowing the above, the answer would be:

Y = 6 * y

3 0

2 years ago

10 points! What is 2*2*4+(7+5*3^2)=

10 points! What is 224+(7+5*3^2)=