Hello, lra11!

1. The curve passes through the point with gradient

Find and

We have: .

Since (2,4) is on the curve: . .[1]

The gradient is given by: .

. . At (2,4), we have: .

Substitute into [1]: .

If I were to2. Show that if , then

y2^2y- 2dy+2y = 4(x+1) . . . . . impossible to read this!

dx^2 dxguesswhat it said . . . maybe: .

. . but it isnot true!

We have: .

Then: .

. . . . .

. . . .

. . .

3. A child's height cm at age years can be modelled by the equation

. . . for ages . . . . another guess

Find the child's annual growth rate at age 12, and at age 15.

Differentiate: .

When

When