9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
Answer:
a) subtracting '8' on both sides, we get
- 5 x² + 8-8 = 133-8
- 5 x² = 125
b) The solution is x = 5 i
Step-by-step explanation:
<em>Explanation</em>:-
<u><em>Step (i):</em></u>-
Given quadratic equation - 5 x² + 8 = 133
subtracting '8' on both sides, we get
- 5 x² + 8-8 = 133-8
- 5 x² = 125
<u><em>Step(ii)</em></u>:-
dividing '-5' on both sides, we get
x² = -25
x = 5 i
