Answer:
Step-by-step explanation:
The slope of the tangent to a curve is the derivative of the curve. We need to find the derivative of the function and then evaluate the derivative at that given x value. The derivative is found using the product rule:

Let's call 3x our f(x) and sin(x) our g(x). Filling in the formula for the derivative using the product rule looks like this:

That gives us the derivative, which is the slope formula that can be used at ANY x value anywhere on the curve to find the slope of the line tangent to the curve at that x value. If we want to find the slope of the tangent line to the curve at x = pi/2, we evaluate the slope formula at x = pi/2 (remember that y' is the same exact thing as the slope):

From the unit circle (or experience, since you're in advaced math), we know that the cosine of pi/2 is 0 and that the sin of pi/2 = 1:
simplifies to
y' (slope) = 3
That means that the slope of the line tangent to the curve at the point x = pi/2 is 3.
So that's. Shans desk d didn't djks d d d d
<span>x^3 + 3.4y when x = 4 and y = 2
= 4^3 + 3.4 (2)
= 64 + 6.8
= 70.8
</span>
Answer:
the third option
Step-by-step explanation:
Our equation is

Equation of a vertical parabola is

where (h,k) is the center
The focus is
(h+p, k)
Equation of directrix is
x= h-p,
Here the center is (10,0)
Next, we factor out 4 in the original equation

So we have

So our p=9,
So our focus is
(10+9,0) or (19,0)
The third option is the answer
That picture tho fiejfjejdjwjdhehfhueuxhrhfjsjdjrjr :)