Is this correct on what you typed above ->
Area is equal to width times length:
A = w*l
We know A <span>(48x^2+16x), l = 8x. Plugging into the equation:
</span><span>(48x^2+16x) = 8x * w Divide both sides by 8x
6x + 2 = w
The answer is width = (6x +2)km</span>
Answer:
The cube root would be 9. Cubed is just like squared, but a number multiplied 3 times to get the number 729.
Step-by-step explanation:
A way to solve it is:
729 / 3 = 243
243 / 3 = 81
81 / 3 = 27
27 / 3 = 9
9^3 = 729
9 • 9 = 81
81 • 9 = 729
a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have
Evaluate the integral to solve for y :
Use the other known value, f(2) = 18, to solve for k :
Then the curve C has equation
b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:
The slope of the given tangent line is 1. Solve for a :
so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).
Decide which of these points is correct:
So, the point of contact between the tangent line and C is (-1, -3).