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.
>-1 means 'Greater than -1'. So, the numbers like 0,1,2,3,.... and so on are signified by '>-1'. So, >-1 signifies all the numbers to the right of -1. That is, Option (d). Also, 0 is located to the right of -1.
You divide 10 by 5 is two so 19 decided by five is 3.8
Answer:
Ron: 6+2√5 days ≈ 10.47 days
Lee: 2+2√5 days ≈ 6.47 days
Step-by-step explanation:
Let L represent the number of days it takes Lee to frame a cabin. Then it take L+4 days for Ron to frame it. Working together, they take 4 days. Then their rates, in cabins per day, add up as ...
1/L + 1/(L+4) = 1/4
Multiplying by the product of denominators, we get ...
4(L+4) +4L = L(L+4)
Subtracting the left side gives ...
L^2 -4L -16 = 0
Completing the square, we can write this as ...
L^2 -4L +4 = 20
(L -2)^2 = 20
L = 2 + √20 = 2 +2√5 ≈ 6.47
Lee takes 2+2√5 ≈ 6.47 days to frame a cabin.
Ron takes 6+2√5 ≈ 10.47 days to frame a cabin.
8-/x(x-4)/x-3
That should be it if you can’t understand it the whole equation after the eight is a fraction
