0.000044, because 10 to the negative fith is 0.00001, and 0.0001 times 4.4 is 0.000044
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
brainly.com/question/22972014
#SPJ4
Answer:
250 smaller boxes
Step-by-step explanation:
Find the volume of the 2 cuboids.
Formula = Length x width x height
Big cuboid = 50 x 30 x 20 = 30000
Small cuboid = 10 x 3 x 4 = 120
Now divide them.
30000 ÷ 120 = 250 small boxes
<h2><u>
Answer:</u></h2>
Jared and Pedro walked a total of <u>4.3 miles</u>
<h2><u>
Step-by-step explanation:</u></h2>
- The equation for distance is <u>speed = distance ÷ time.</u>
- Rearrange the equation to make distance the subject:
<em>(multiply both sides by time)</em>
<em> </em><u>Distance = Speed × Time</u>
- Convert your numbers into suitable units:
1 mile ÷ 15 = <u>0.06m/minute</u>
- Finally, substitute the numbers into the equation and solve:
Distance = 0.06 × 65 = <u>4.3miles</u> (rounded to the nearest decimal place)
<h2 />
