Find the slope of the curve below at the given points. Sketch the curve along with its tangents at these points. R = sin 2 theta: theta = plusminus pi/4, plusminus 3 pi/4 The slope of the curve at theta = pi/4 is:

   -1    

Step-by-step explanation:

Given that:

r = sin 2θ  , θ = ± π/4 , ± 3π/4

Recall that:

x = r cosθ

y = r sinθ

The  differential of y with respect to x

at  θ = π/4  , r = sin π/2

r = 1

where;

θ = π/4

slope of the curve (dy/dx) at theta(θ)  = pi/4 is -1

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step-by-step explanation:

2.56 is the width of the garden

step-by-step explanation: