Use the equation m Subscript PQ Baseline equals StartFraction f left parenthesis x 1 plus h right parenthesis minus f left paren
thesis x 1 right parenthesis Over h EndFraction mPQ= fx1+hâfx1 h to calculate the slope of a line tangent to the curve of the function y equals f left parenthesis x right parenthesis equals 2 x squared y=f(x)=2x2 at the point Upper P left parenthesis x 1 comma y 1 right parenthesis equals Upper P left parenthesis 3 comma 18 right parenthesis Px1,y1=P(3,18).
1 answer:
Answer:
m = 12
Step-by-step explanation:
For f(x) = 2x² you want to find the slope m using ...
m = (f(x+h) -f(x))/h
at x=3.
Filling in the function definition and its arguments, we have ...
m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h
The value of this as h goes to zero is ...
m = 4x
At x=3, the slope is ...
m = 4·3 = 12
_____
The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.
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Answer:
Step-by-step explanation:
Information given
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sample size
represent the value that we want to test
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represent the p value for the test
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We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
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(1)
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Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels.
We find fraction of whole wheat bagels to the sample for each shop using given information
Shop A =
Shop B =
Shop C =
The number of whole wheat bagels for each shop that sells 500 bagels per day
Shop A =
Shop B =
Shop C =