Answer:
A. true
Step-by-step explanation:
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:
<u>364 cm²</u>
Step-by-step explanation:
Area of the figure :
- Area (triangle) + Area (rectangle 1) + Area (rectangle 2) + Area (rectangle 3)
- 1/2 x 20 x 14 + 12 x 9 + 7 x 3 + 19 x 5
- 140 + 108 + 21 + 95
- 248 + 21 + 95
- 269 + 95
- <u>364 cm²</u>
Option B: Protect Slavery
-_-
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
