Answer:
the plane's current height above the ocean is 3.42 miles
Step-by-step explanation:
Given that the diagonal distance between the plane and the aircraft carrier is 10 miles.
What we need to find is the vertical distance between the plane and the aircraft carrier which is the plane's current height above the ocean. This can be gotten using sine rule.
For sine rule, you need a side and its opposite angle. For this question the triangle formed is a right angle triangle with diagonal distance, vertical distance and horizontal distance.
let a = diagonal distance = 10 miles
let the opposite angle to the diagonal distance be A = 90° (right angle)
let the vertical distance = b
let the opposite angle to the vertical distance be B = 20°
Sine rule states that 
∴ 
⇒ b = 3.42 miles
Therefore the plane's current height above the ocean is 3.42 miles
The area of the surface is 144.708
The equation of the given surface is,
z=g(x,y)=xy
Solving the partial derivatives,
∂g∂x=y,∂g∂y=x
Substituting to the formula
S=∬√1+( ∂g∂x)2+(∂g∂y)2dA
Thus,
S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA
The region in the XY-plane is defined by the intervals 0≤θ≤2π,0≤r≤4
Converting the integral into polar coordinates,
S=∫2π0∫40√1+r2rdrdθ
Integrating with respect to r
S=∫2π0[13(1+r2)32]40dθ
S=∫2π0(17√173−13)dθ
Integrating with respect to θ
S=(17√173−13)[θ]2π0
S≈144.708
For more information about areas, visit
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Answer:
V= 1767.2
Step-by-step explanation:
V=4/3πr3
(I'm pretty sure I rounded that right. If not it's 1767.15 before rounding. )
Answer:
f(-2) = 9
Step-by-step explanation:
Given that,
f(x) = x² + x + 7
We need to find the value of f(-2).
Put x = -2 in the given function.
f(-2) = (-2)² + (-2) + 7
= 4-2+7
= 9
Hence, the value of f(-2) is equal to 9.
