Answer:
Step-by-step explanation:
3) diameter of penny = 19 mm
r = 19/2 = 9.5 mm
Area of penny = πr²
= 3.14 * 9.5 * 9.5
= 283.385
= 283.39 mm²
Diameter of nickel = 21 mm
r = 21/2 = 10.5 mm
Area of nickel = πr²
= 3.14 * 10.5 *10.5
= 346.185
= 346.19 mm²
346.19 - 283.39 = 62.8 mm²
Area of Canadian nickel is greater than Canadian penny by 32.6 mm²
4) r = 12 mm
Area of circle = πr²
= 3.14 * 12 * 12
= 452.16 mm²
5) r = 20 cm
Area of circle = πr²
= 3.14 * 20 * 20
= 1256 cm²
The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
Answer:
Step-by-step explanation:
Bill=3475
Interest=1.5%
Total payment made=3475+3475x1.5/100
=3475x101.5/100
=3527.125$ is the total payment (answer)
Answer:
StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction
Step-by-step explanation:
Apparently you want to simplify ...
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
(a^b)^c = a^(bc)
__
So the expression simplifies as ...
