(a)

or, via symmetry

____________
(b)
By the chain rule:

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

Differentiating with respect to theta

2/3 is the slope
____________
(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
</span><span />
The given line
4x + y = 5
The slope of the given line is -4
Find the slope of perpendicular line
m₁ × m₂ = -1
-4 × m₂ = -1
m₂ = -1/-4
m₂ = 1/4
Find the equation of perpendicular line
y - y₁ = m(x - x₁)
y - 9 = 1/4(x - 8)
y - 9 = (1/4) x - 2
y = (1/4)x - 2 + 9
y = (1/4)x + 7
Answer:
X = - 6
Step-by-step explanation:
<h2>
Answer:</h2>
17
<h2>
Step-by-step explanation:</h2>
Cost per Packet * Number of Packets + Shipping = Amount to Spend
0.90 * b + 2.50 = A
You can spend a maximum of $18.50
A < 18.50
Rearrange the formula to find b
Number of Packets = Amount to Spend - Shipping / Cost per Packet
18.50 - 2.50 = 16.00 / 0.9 = 17.7...
You can't have 0.7 of a packet so you have to round down to 17.
Now if you put it into the original formula:
0.90 * 17 + 2.50 = 17.80
And 17.80 is less than 18.50.
the answer will be triangular/
Hope I helped. Mark as brainliest