Answer:
4x - 24
Step-by-step explanation:



Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
Answer:
-1/4
Step-by-step explanation:
Hello!
The rate of change is also known as the slope.
Standard equation of a line: y = mx + b
- y: output
- m: slope
- x: input
- b: y-intercept
So, if we match the standard form to the given function:
-1/4 is m, or the rate of change.
Answer:
x = 7
Step-by-step explanation:
Rule: an even number of - signs written one after another produces a plus number.
So - - 3 = 3
The rule also lets you do something strange like
- - - - 4 = 4 but you hardly ever see this.
Rule: an odd number of minus signs produces a minus number.
x + 3 = 10 Subtract 3 from both sides.
x + 3 - 3 = 10 - 3
x = 7
Answer:
the answer to this question is 6/5