In Exercises 9-22, change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 10. ∫ 0 1 ∫ 0 1 − y 2 ( x 2 + y 2 ) d x d y
In Exercises 9-22, change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 10. ∫ 0 1 ∫ 0 1 − y 2 ( x 2 + y 2 ) d x d y
In Exercises 9-22, change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.
10.
∫
0
1
∫
0
1
−
y
2
(
x
2
+
y
2
)
d
x
d
y
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.
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
Please refer below
Chapter 14 Solutions
University Calculus: Early Transcendentals (4th Edition)
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY