Can anyone help me with a CALC problem

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

A) The function f+g is just the sum of the 2 functions f and g.
The derivative of f+g is also just the sum of the derivatives.

So to find slope of new tangent line, you find sum of the slopes for f and g.
---> m = 2+2 = 4

The point on new curve is (4, f(4)+g(4)) -----> (4,17)

The equation of tangent line is then:
y - 17 = 4(x -4)
y = 4x + 1

b) and c) are done the same way. f-g means subtract slopes.
2f means double slope etc...

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luda_lava [24]

Answer:

1. 1/4 because rectangle B takes up 1/2 of the space and the two triangles together take up 1/4.

2. 1/2, because it is twice as big as C, which takes up 1/4 of the space.

3. 1/8, because both A and D together take up 1/4 of the space, and they are both the same size

4. 1/3, because the triangles around it each take up 1/6 of the space

5. 1/6, because it is half as large as square J, which takes up 1/3 of the space

Step-by-step explanation:

(hope this helps!)

4 0