Surface Area In Exercises 69-72, write an integral that represents the area of the surface generated by revolving the curve about the r>axLs. Use a graphing utility to approximate the integral. Parametric Equations Interval x = θ + sin θ , y = θ + cos θ 0 ≤ θ ≤ π 2
Surface Area In Exercises 69-72, write an integral that represents the area of the surface generated by revolving the curve about the r>axLs. Use a graphing utility to approximate the integral. Parametric Equations Interval x = θ + sin θ , y = θ + cos θ 0 ≤ θ ≤ π 2
Surface Area In Exercises 69-72, write an integral that represents the area of the surface generated by revolving the curve about the r>axLs. Use a graphing utility to approximate the integral.
Parametric Equations Interval
x
=
θ
+
sin
θ
,
y
=
θ
+
cos
θ
0
≤
θ
≤
π
2
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Is the function f(x) continuous at x = 1?
(z)
6
5
4
3.
2
1
0
-10
-9
-7
-5
-2
-1 0
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
Select the correct answer below:
○ The function f(x) is continuous at x = 1.
○ The right limit does not equal the left limit. Therefore, the function is not continuous.
○ The function f(x) is discontinuous at x = 1.
○ We cannot tell if the function is continuous or discontinuous.
Is the function f(x) shown in the graph below continuous at x = −5?
f(x)
7
6
5
4
2
1
0
-10
-9
-8 -7
-6
-5
-4
-3
-2
-1 0
1
2
3
4
5
6 7 8 9
10
-1
-2
-3
-4
-5
-6
-7
Select the correct answer below:
The function f(x) is continuous.
○ The right limit exists. Therefore, the function is continuous.
The left limit exists. Therefore, the function is continuous.
The function f(x) is discontinuous.
○ We cannot tell if the function is continuous or discontinuous.
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
Chapter 10 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
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