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3 years ago

G( x)=sqrt(3x) find g'(x)

1 answer:

4 0

Well, g'(x) is just a fancy way of saying "the slope of". In calculus, it's also called "the derivative".
So our original function is
sqrt3x (I'm leaving out the G(x))
First, we'll need to rewrite this in exponential form:
(3x)^1/2
Now, to take a derivative, move the exponent to the front of the expression:
1/2(3x)^1/2
And add 1 to the exponent:
g'(x)=1/2(3x)^3/2
g'(x)=1/2(sqrt27)x^3/2
g'(x)=((sqrt27)/2)x^3/2
I hope it didn't get confusing with all the parentheses! Sorry if it did!
Hope this helps!

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What is x=60 and y=18? Using Constant of Proportionality.

Westkost [7]

Answer:y/x= 18/16 1 1/8

Step-by-step explanation:

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3 years ago

What is the equation of the line, in point-slope form, that passes through the points (4, 8) and (2,-2)?

Annette [7]

Answer:

y = 5x -12

Step-by-step explanation:

point-slope form:

y - y1 = m(x-x1)

m= slope

m= (y2-y1)/ (x2-x1)

we have (4, 8) and (2,-2)

x1 = 4 y1= 8

x2= 2 y2= -2

m=( -2-8) / (2- 4)

m= -10/ -2

m= 5

so we have:

y - 8 = 5(x-4)

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3 years ago

Decide which item is the better purchase in the scenario below.

Andrews [41]

The 3oz is better than the 20

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3 years ago

An electric sale gives a reading equal to the true weight plus a random error that isnormally distributed with mean 0 and standa

Pepsi [2]

Answer:

a) 95% confidence interval estimate of the true weight is (3.026, 3.274)

b) 99% confidence interval estimate of the true weight is (2.944, 3.356)

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

M is the mean of five successive weightings (3.150)

ME is the margin of error from the mean

And margin of error (ME) can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)

s is the standard deviation of the random error (0.1)

N is the sample size (5)

Using the numbers 95% confidence interval estimate of the true weight is:

3.150± $\frac{2.776*0.1}{\sqrt{5} }$ ≈3.150±0.124

And 99% confidence interval estimate of the true weight is:

3.150± $\frac{4.604*0.1}{\sqrt{5} }$ ≈3.150±0.206

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3 years ago

Find the area. Round to the nearest tenth.

motikmotik

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

6 0

3 years ago