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2 years ago

Which description is correct for this polynomial 4x^2+3x+5?

Mathematics

1 answer:

mash [69]2 years ago

7 0

Its a quadratic trinomial

Its quadratic because the highest degree in the equation is two

Its a trinomial because there are three different terms in the equation

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Find dy/dx using first principle<br>x+1/x

JulsSmile [24]

Answer:

The derivative of the function is:

$f'(x)=1-\frac{1}{x^{2}}$

Step-by-step explanation:

The first principle is given by:

$f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

The function here is:

$f(x)=x+\frac{1}{x}$

Now, using the first principle we have:

$f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}$

$=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}$

$=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}$

$=lim_{h\rightarrow 0}\frac{h(1-\frac{1}{x(x+h)})}{h}$

$=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}$

$=1-\frac{1}{x^{2}}$

Therefore, the derivative of the function is:

$f'(x)=1-\frac{1}{x^{2}}$

I hope it helps you!

6 0

2 years ago

Whats the radius of a sphere if its volume is 1928pi

mojhsa [17]

Answer:

Cube root of 1446

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3} \pi r^3$ . Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!

7 0

2 years ago

Read 2 more answers

What is the probability that the power will go of durning a storm, if the probability of it staying on is 78%?

My name is Ann [436]

Answer:

22%

Step-by-step explanation:

100-78=22

just do the simple math

4 0

2 years ago

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A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

schepotkina [342]

In a deck of cards there are total of 52 cards. But in our case we have to check the probability of red 8, which is either the 8 of diamond or of heart. So the number of events of which we have to find probability is 2. And total number of events is 52. So the probability will be 2/52 = 1/26 = 0.0384615

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2 years ago

The water in Leroy's and Jerod's fish tank had evaporated so it was 5/8 inch below the level it should be. They added water and

Vaselesa [24]

Yes it is above the level of where it should be

7 0

2 years ago