For this case, the first thing we must do is define variables.
We have then:
m: original quantity of merchandise sold (in $)
We then have the following idea:
(original amount) (percent) = new amount
The new amount is the amount that Jacqueline earns for 12% of the commission on sales.
We have then:
Clearing m we have:
Answer:
The equation that solves the problem is:
The amount she sold is:
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
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Answer:
p(x) = x⁴ +12x³ +48x² +64x
Step-by-step explanation:
If -4 is a zero, then (x -(-4)) = (x +4) is a factor. If its multiplicity is 3, then it is a factor 3 times. The other factor is (x-0) = x, so the function is ...
p(x) = x(x +4)³
Expanding gives ...
p(x) = x⁴ +12x³ +48x² +64x
Answer:
100x
Step-by-step explanation:
if you add both together you get 100x
