Answer with explanation:
The given function in x and y is,
y= 5 +cot x-2 Cosec x
To find the equation of tangent, we will differentiate the function with respect to x

Slope of tangent at (π/2,3)

Equation of tangent passing through (π/2,3) can be obtained by

⇒There will be no Horizontal tangent from the point (π/2,3).
Answer: 10⁻⁸°⁹
<u>Step-by-step explanation:</u>
![pH=log\bigg(\dfrac{1}{[H^+]}\bigg)\\\\\text{use log expansion rules to get:}\\pH=log\ 1-log\ [H^+]\\\\8.9=0\ -\ log\ [H^+]\\\\8.9=-log\ [H^+]\\\\-8.9=log\ [H^+]\\\\\text{use log transformation rules to get the following exponential equation:}\\10^{-8.9}=[H^+]](https://tex.z-dn.net/?f=pH%3Dlog%5Cbigg%28%5Cdfrac%7B1%7D%7B%5BH%5E%2B%5D%7D%5Cbigg%29%5C%5C%5C%5C%5Ctext%7Buse%20log%20expansion%20rules%20to%20get%3A%7D%5C%5CpH%3Dlog%5C%201-log%5C%20%5BH%5E%2B%5D%5C%5C%5C%5C8.9%3D0%5C%20-%5C%20log%5C%20%5BH%5E%2B%5D%5C%5C%5C%5C8.9%3D-log%5C%20%5BH%5E%2B%5D%5C%5C%5C%5C-8.9%3Dlog%5C%20%5BH%5E%2B%5D%5C%5C%5C%5C%5Ctext%7Buse%20log%20transformation%20rules%20to%20get%20the%20following%20exponential%20equation%3A%7D%5C%5C10%5E%7B-8.9%7D%3D%5BH%5E%2B%5D)
" Technically speaking, an intrusion is any formation of intrusive igneous rock; rock formed from magma that cools and solidifies within the crust of the planet. In contrast, an extrusion consists of extrusive rock; rock formedabove the surface of the crust."
David's score on his fifth test would be an 87. If you add up all the scores from his first to his fourth test, it would 363. However, since there are five tests, in order to get a 90 percent, the sum of all five test scores would be 450. 450 - 363 = 87.
X is greater than or equal to -200