Answer:
tangent (angle) or tan (angle)
Step-by-step explanation:
tangent (angle) = the leg opposite the angle / the leg adjacent to the angle
<span>The best way for Norm to store his money is through C. A money market account paying 3.5% interest, renewable for three-month commitments. Even though a four-year CD offers a higher interest at 4.8%, the fact that there is a substantial penalty for early withdrawal is a negative factor for Norm. His daughter needs the money after 2 years since she is already a junior in high school.</span>
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
<h3>(14, 20) is the ordered pair of the function f(x)</h3>
<em><u>Solution:</u></em>
Given that,
(20, 14) is an ordered pair of the inverse of f(x)
We have to find the ordered pair of the function f(x)
In an inverse funciton, the domain of f(x) becomes the range and range of f(x) becomes the domain
To find the ordered pair of the function f(x), we swap the variables x and y
(y, x) of inverse of f(x) becomes (x, y) of f(x)
Therefore, (14, 20) is the ordered pair of the function f(x)
Answer:
Step-by-step explanation:1
