Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If D is the disk given by x 2 + y 2 ≤ 4, then ∬ D 4 − x 2 − y 2 d A = 16 3 π
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If D is the disk given by x 2 + y 2 ≤ 4, then ∬ D 4 − x 2 − y 2 d A = 16 3 π
Solution Summary: The author evaluates whether the statement "If D is the disk given by x2+y 2le 4 is true or false.
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.
If D is the disk given by x2 + y2 ≤ 4, then
∬
D
4
−
x
2
−
y
2
d
A
=
16
3
π
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Chapter 15 Solutions
Calculus: Early Transcendentals, Loose-Leaf Version
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