Answer: I'm not sure what the question is asking. So sorry
Step-by-step explanation:
Find the eqn. of the tangent line to the curve of f(x) = x^2 + 5x -5 at (0,-5).
Differentiate f(x) to obtain an expression for the derivative (slope of the tangent line):
f '(x) = 2x + 5
Subst. 0 for x here: f '(0) = 2(0) + 5 = 5 (at the point (0, -5))
Use the point-slope equation of a str. line to find the eqn of the tan. line:
y-k = m(x-h), where (h,k) is a point on the line and m is the slope:
y - [-5] = 5(x-0), or y+5 = 5x. Then y = 5x - 5 is the eqn. of the TL to the given curve at (0,-5).
Answer: Third option.
Step-by-step explanation:
You need to find the surface area with the formula for calculate the surface area of a rectangular prism:
Where w is the width, l is the length, and h is the height.
You can observe in the figure that:
Then, substituting the values into the formula , you get that minimum amount of cardboard used for the wrapper is:
![SA=2[(4cm)(5cm)+(5cm)(2cm)+(2cm)(4cm)]\\SA=76cm^2](https://tex.z-dn.net/?f=SA%3D2%5B%284cm%29%285cm%29%2B%285cm%29%282cm%29%2B%282cm%29%284cm%29%5D%5C%5CSA%3D76cm%5E2)
