We are asked in the problem to evaluate the integral of <span>(cosec^2 x-2005)÷cos^2005 x dx. The function is an example of a complex function with a degree that is greater than one and that uses special rules to integrate the function via the trigonometric functions. For example, we integrate
2005/cos^2005x dx which is equal to 2005 sec^2005 x since sec is the inverse of cos. The integral of this function when n >3 is equal to I=</span><span>∫<span>sec(n−2)</span>xdx+∫tanx<span>sec(n−3)</span>x(secxtanx)dx
Then,
</span><span>∫tanx<span>sec(<span>n−3)</span></span>x(secxtanx)dx=<span><span>tanx<span>sec(<span>n−2)</span></span>x/(</span><span>n−2)</span></span>−<span>1/(<span>n−2)I
we can then integrate the function by substituting n by 3.
On the first term csc^2 2005x / cos^2005 x we can use the trigonometric identity csc^2 x = 1 + cot^2 x to simplify the terms</span></span></span>
Answer:
let c is a point between a and b we can find the coordinates of c by using mid-point formula
the coordinate x of c is equal to
x=(x1+x2)÷2
x=(3+27)÷2
x=30÷2
x=15
the coordinate y of c is equal to
y=(y1+y2)÷2
y=(2+30)÷2
y=32÷2
y=16
so the coordinates of c are (15,16)
Firstly, you have to isolate the X on one side if the equation by doing that you have to divide the numbers that are on the same side of the equation as part of the X.
Answer:
D. Subtraction property of equality; n = 15
Step-by-step explanation:
Given equation that shows the cost of n basketballs uniforms,
C = 40n + 260
According to the question,
Total cost = $ 860,
⇒ 40n + 260 = 860
Using subtraction property of equality, subtract 260 on both sides,
⇒ 40n = 860 - 260
⇒ 40n = 600
Using division property of equality, divide both sides by 40.
⇒ n = 
= 15.
Hence, 15 uniforms were purchased.
i.e. Option D is correct.
Answer:
$110
Step-by-step explanation:
First we would need to find out how many cans of dog food are required.
To find that you would divide 60 by 3.
60/3 = 20
You would then have to multiply that number by how much it costs for each pair of 3 cans, that being $5.50.
20 * 5.50 = $110
