Answer:
-4/5
Step-by-step explanation:
To find the slope of the tangent to the equation at any point we must differentiate the equation.
x^3y+y^2-x^2=5
3x^2y+x^3y'+2yy'-2x=0
Gather terms with y' on one side and terms without on opposing side.
x^3y'+2yy'=2x-3x^2y
Factor left side
y'(x^3+2y)=2x-3x^2y
Divide both sides by (x^3+2y)
y'=(2x-3x^2y)/(x^3+2y)
y' is the slope any tangent to the given equation at point (x,y).
Plug in (2,1):
y'=(2(2)-3(2)^2(1))/((2)^3+2(1))
Simplify:
y'=(4-12)/(8+2)
y'=-8/10
y'=-4/5
Answer:
154π cm²
Step-by-step explanation:
Radius (r) = 7 cm
Height (h) = 4 cm
Surface area of cylinder
= 2πr (h + r)
= 2π (7) (4 + 7)
= 2π (7) (11)
= 2π (77)
= 154π cm²
______
Hope it helps ⚜
Please find the attachment below for the solution...
Answer:
40%
Step-by-step explanation:
you saved $28.00
<span>Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.</span>
