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3 years ago

Find the derivative of F(x)=-x^4+4x^3+ 70 for 0<=x<=3

Mathematics

1 answer:

timofeeve [1]3 years ago

8 0

Answer:

-4x^3 +12x^2 for 0 < x < 3

Step-by-step explanation:

The power rule is appropriate:

(d/dx)x^n = n·x^(n-1)

This is applied to each of the terms.

F'(x) = -(4·x^3) +4(3x^2) +0

F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3

The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].

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Question 2

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

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(b) Calculate length of a road on the map which is 0.58 km.

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Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²

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