Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of Exercise 77 to match the closed curse with its area. (These exercises were based on “The Surveyor's Area Formula'' by Bart Braden, College Mathematics Journal, September 1986. pp. 335-337, by permission of the author.) (a). 8 3 a b (b). 3 8 π a 2 (c). 2 π a 2 (d). π a b (e). 2 π a b (f). 6 π a 2 Cardiod: ( 0 ≤ t ≤ 2 π ) x = 2 a cos t − a cos 2 t y = 2 a sin t − a sin 2 t
Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of Exercise 77 to match the closed curse with its area. (These exercises were based on “The Surveyor's Area Formula'' by Bart Braden, College Mathematics Journal, September 1986. pp. 335-337, by permission of the author.) (a). 8 3 a b (b). 3 8 π a 2 (c). 2 π a 2 (d). π a b (e). 2 π a b (f). 6 π a 2 Cardiod: ( 0 ≤ t ≤ 2 π ) x = 2 a cos t − a cos 2 t y = 2 a sin t − a sin 2 t
Solution Summary: The author explains how to calculate the area of the curve in the interval ale xl b.
Areas of Simple Closed Curves In Exercises 81-86, use a computer algebra system and the result of Exercise 77 to match the closed curse with its area. (These exercises were based on “The Surveyor's Area Formula'' by Bart Braden, College Mathematics Journal, September 1986. pp. 335-337, by permission of the author.)
(a).
8
3
a
b
(b).
3
8
π
a
2
(c).
2
π
a
2
(d).
π
a
b
(e).
2
π
a
b
(f).
6
π
a
2
Cardiod:
(
0
≤
t
≤
2
π
)
x
=
2
a
cos
t
−
a
cos
2
t
y
=
2
a
sin
t
−
a
sin
2
t
Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axis
Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $13,000, r = 6%, t = 10, compounded quarterly
A = $ 31902
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TANAPCALC10 5.3.003.
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Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.)
P = $140,000, r = 8%, t = 8, compounded monthly
A = $259130.20 X
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Find the present value of $20,000 due in 3 years at the given rate of interest. (Round your answers to the nearest cent.)
(a) 2%/year compounded monthly
(b) 5%/year compounded daily
$
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TANAPCALC10 5.3.009.
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PRACTICE ANC
Find the accumulated amount after 3 years if $4000 is invested at 3%/year compounded continuously. (Round your answer to the nearest cent.)
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