In Problems 21–26, use the description of the region R to evaluate the indicated integral. 24. ∬ R ( 2 x + 3 y ) d A ; R = { ( x , y ) | y 2 − 4 ≤ x ≤ 4 − 2 y , 0 ≤ y ≤ 2 }
In Problems 21–26, use the description of the region R to evaluate the indicated integral. 24. ∬ R ( 2 x + 3 y ) d A ; R = { ( x , y ) | y 2 − 4 ≤ x ≤ 4 − 2 y , 0 ≤ y ≤ 2 }
Solution Summary: The author explains the value of the iterated integral 685.
In Problems 21–26, use the description of the region R to evaluate the indicated integral.
24.
∬
R
(
2
x
+
3
y
)
d
A
;
R
=
{
(
x
,
y
)
|
y
2
−
4
≤
x
≤
4
−
2
y
,
0
≤
y
≤
2
}
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Find all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal.
5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent
line.
x
1
3
5
7
f
-1
3
15
35
7
• Sea) dx
from the faible find:
1
f(x) dx by Sempeson method
8
2 if S
.dx
find
h? ?
2X
3. Find the derivative of each function. Label with appropriate derivative notation showing both dependent and
independent variables.
f(t)=4t(2t⭑+4)³
a. f(t)=4t (2t+4)³ (Answer must be factored.)
b.
y=
3
1
(2x³-4)
6
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