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:
The selling price would be $420.
Step-by-step explanation:
In order to find the mark up, we need to multiply the amount it originally costs by the percentage it is being marked up.
$300 * 40% = $120
Now that we have the mark up amount, we add it to the original cost to get the sale price.
$300 + $120 = $420
Answer:
Gradient
Step-by-step explanation:
The slope represents the gradient of a line
Answer:
April
Step-by-step explanation:
To solve, you find the maximum of the polynomial function. You can do this by either graphing or plugging in the values in a T chart.
I graphed the function, provided down below.
As you can see, the highest value in the graph is the middle most point, aka (4,1). Count down the months of the year to 4, and you'll find that April is the 4th month of the year.
