Answer: See Explanation
Step-by-step explanation:
The price elasticity of demand will be calculated as:
q = 860 − 20p.
dq/do = -20
p = 38
Elasticity E(p) = (p/q) × dq/dp
= [38 /(860 - 20p)] × (20)
=38 × 20/(860 - 760)
= 7.6
Therefore, the price elasticity of demand when the price is $38 per orange is 7.6
Revenue = price × quantity
= p × q
= p × (860 − 20p)
= 860p - 20p²
Differentiating with respect to p
= 860 - 40p
40p = 860
p = 860/40
p = 21.50
Maximum Revenue = 860p - 20p²
= 860(21.50) - 20(21.50)²
= 18490 - 9245
= 9245
<span>The name of the shape graphed by the function r ^ 2 = 9
cos (2 theta) is called the “<u>lemniscate</u>”. A lemniscate is a
plane curve with a feature shape which consists of two loops that meet at a
central point. The curve is also sometimes called as the lemniscate of
Bernoulli. </span>
Explanation:
The
period of coskθ is 2π/k. In this case, k = 2 therefore the
period is π.
r ^ 2 = 9 cos 2θ ≥0 → cos 2θ ≥0. So easily
one period can be chosen as θ ∈
[0, π] wherein cos 2θ ≥0.
As cos(2(−θ)) = cos2θ, the graph is symmetrical about the initial line.
Also,
as cos (2(pi-theta) = cos 2theta, the graph is symmetrical about the
vertical θ = π/2
A
Table for half period [0,π4/] is
adequate for the shape in Quarter1
Use symmetry for the other three quarters:
(r, θ) : (0,3)(3/√√2,π/8)(3√2/2,π/6)(0,π/4<span>)</span>
Y=1/4x^2
do you mean like thisssss
The answer is 217 with a remainder of 20.
explanation is in the picture.