Answer:
Using either method, we obtain:
Step-by-step explanation:
a) By evaluating the integral:
The integral itself can be evaluated by writing the root and exponent of the variable u as:
Then, an antiderivative of this is:
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and
Since this this function is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:
Answer: angle EFB = 35 degrees
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Explanation:
To get angle EFC, we will average the two arc measures given
This means we add them up and divide by 2
angle EFC = (arcEC + arcBD)/2
angle EFC = (164+126)/2
angle EFC = 290/2
angle EFC = 145
Then we can say:
(angle EFB)+(angle EFC) = 180 ... the two angles are supplementary
(angle EFB) + (145) = 180
angle EFB = 180-145
angle EFB = 35
89 plus 10 is 99 so that would be the answer
Answer:
124
Step-by-step explanation:
Elm St. and Oak St. are parallel lines.
Cedar St. is a transversal to the other two streets.
When parallel lines are cut by a transversal, corresponding angles are congruent.
The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.
9x + 61 = 3x + 103
Subtract 3x from both sides.
6x + 61 = 103
Subtract 61 from both sides.
6x = 42
Divide both sides by 6.
x = 7
9x + 61 = 9(7) + 61 = 63 + 61 = 124
3x + 103 = 3(7) + 103 = 21 + 103 = 124
Answer:
48 is your answer
Step-by-step explanation:
just add all of you separte indvisual factors together and you get 48......