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: Carolynn is faster.
Step-by-step explanation: Clarke makes 6.75 favors/hour, while Carolynn makes 7 favors/hour. (7 > 6.75)
Answer: Food Saver
Step-by-step explanation:
A 5-pound bag at Bargain Mart costs $6.45. The coat per pound will be:
= $6.45 / 5
= $1.29
A 2-pound bag at Food Saver costs $2.50. The cost per pound will be:
= $2.50 / 2
= $1.25
A 7-pound bag at Grocery Surplus costs $9.45. The cost per pound will be:
= $9.45 / 7
= $1.35
A 10-pound bag at Economart costs $12.89. The cost per pound will be:
= $12.89 / 10
= $1.289
Therefore, the shop which sells flour for the lowest unit price is Food Saver.
It will take you 3/4 of an hour, or 45 minutes to paint 1 wall.
Answer exact: 8.74, rounding to the tenth: 8.7, rounding whole 9
