. The series is divergent. To see this, first observe that the series ∑ 1/kn for n = 1 to ∞ is divergent for any integer k ≥ 2.
Now, if we pick a large integer for k, say k > 100, then for nearly all integers n it will be true that 1 > cos(n) > 1/k. Therefore, since ∑ 1/kn is divergent, ∑ cos(n)/n must also be divergent The *summation* is divergent, but the individual terms converge to the number 0.<span>by comparison test since cosn/n <= 1/n is convergent
and 1/n is divergent by harmonic series
so the series is conditionally converget </span>
Answer:
(pi)4 or about 12.57 sq. units
Step-by-step explanation:
The base area of a cylinder is a circle.
Since we know that the radius is 2, we can use the equation A = (pi)r^2 to find the area.
So, using this formula, the area is (2)(2)(pi), about 12.57 sq. units (area is squared!)
Answer:-qx+p=r
Step-by-step explanation:
Answer:
V = 9.828 * 10^7 mm^3
a= 9.828 b = 7
9,827,000 mm^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 1.2 *10^3 * 3.9*10^2 * 2.1*10^2
We multiply the numbers out front and add the exponents (the powers of 10)
V = (1.2*3.9*2.1) * 10^(3+2+2)
V = 9.828 * 10^7 mm^3
Rewriting this in standard form means moving the decimal 7 places to the left. Since there is not enough places add zeros
9,827,000 mm^3
Answer:
Step-by-step explanation:
For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52
First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:
So then 12 C5 would be equal to:
So we have 792 was in order to select 5 diamonds from the total of 12
Now in order to select 3 clubs from the total of 12 we have the following number of ways:
So then the numbers of ways in order to select 5 diamonds and 3 clubs are:
