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Tpy6a [65]
1 year ago
6

Check off the methods of differentiation required, and complete the derivative.

Mathematics
1 answer:
kogti [31]1 year ago
6 0

Given:

f(x)=\sqrt[]{5x^2-2}

f(X) will be differentiated by chain rule.

\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}

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A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet?
yawa3891 [41]

Answer:19,600

Step-by-step explanation:

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A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.55.55
Juli2301 [7.4K]

Answer:

The equation for the relationship between the weight and number of months is W(t)= 5.5t+79.5

Step-by-step explanation:

we know that

A linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (value of y when the value of x is equal to zero)

or say b is the actual weight of the wrestler.

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m=5.5 kg/month

Let

W ⇒ the sumo wrestler's weight in kg (dependent variable)

t ⇒ the time in months (independent variable)

The linear equation is equal to

W(t)=5.5t+b

where

b is the actual weight when he started the diet.

Now Given

W = 140 kg

t = 11 months

substitute in the linear equation to find the value of b

140 = 5.5\times11 +b\\140 = 60.5+b\\b = 140-60.5\\b = 79.5\ kg

W(t)= 5.5t+79.5

Hence,The equation for the relationship between the weight and number of months is W(t)= 5.5t+79.5

7 0
3 years ago
Find the slope and the y intercept<br> Y=1/3x + 2
Andrej [43]

Answer:

m = 1/3, b = 2

Step-by-step explanation:

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7 0
2 years ago
Is 4/6 bigger than 5/8
nikitadnepr [17]
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3 years ago
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kipiarov [429]

Answer:

34.5

Step-by-step explanation:

17 + 70/x when x = 14.

substitute x for 14

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