Answer:
Required equation of tangent plane is .
Step-by-step explanation:
Given surface function is,
To find tangent plane at the point (5,-1,1).
We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,
So that,
Substitute all these values in (1) we get,
Which is the required euation of tangent plane.
✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️
12
h(x) = f(g(x))
Using chain rule:
h'(x) = f'(g(x)) g'(x)
h'(1) = f'(g(1)) g'(1)
h'(1) = f'(2) g'(1)
h'(1) = -4 × -3
h'(1) = 12
Area of Floor= (12*30)+ (20*10)
=360+ 200= 560
Ans C
-10, -6, 6, 10, 18