Answer:
Step-by-step explanation:
We will first find the derivative of the function to get the formula for the slope of the tangent. Using implicit differentiation, we find that:
and
Solving for the derivative and at the same time simplifying within the parenthesis:
so
![\frac{dy}{dx}=\frac{-2x^3}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B-2x%5E3%7D%7By%7D)
If our tangent line is vetical, that means that the slope is undefined. Our slope is undefined where y = 0. Therefore, we need to find x when y = 0 in our original equation. If y = 0, then
becomes
and
![0 = x^4](https://tex.z-dn.net/?f=0%20%3D%20x%5E4)
That means that x = 0 (we divide away the negative on the x, and since 0 isn't negative or positive, we get that x^4 = 0)
That means that the point at which the tangent is vertical is (0, 0)
Sin(-x) is equal to - sin(x)
Therefore, sin(-35) = -sin 35
Your answer is B.
The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.
I hope this helps.
We have to calculate the area of the polygon. This polygon is made of a parallelogram and the right triangle. The area of the triangle: A 1 = a * b / 2 = 8 * 17 / 2 = 136 / 2 = 68 cm^2. The area of a parallelogram : A 2 = a * h = 17 * 6 = 102 cm^2. Finally: A ( polygon ) = A 1 + A 2 = 68 + 102 = 170. Answer: B. 170 cm^2.<span> </span>