Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
Answer:
(3x-17)°+(x+40)°+(2x-5)°=180°[sum of angle of triangle]
6x°+18°=180°
6x°=180°-18°
x°=162°÷6°
x°=27°
Again,
=3x-17. 2x-5. x+40°
=3×27-17. =2×27-5. =27+40
=64°. =49°. =67°
Your answer would be 4x-7=-3(3+4x) because it only has one solution which is x= -1/8
Answer:
<u>6 kg</u>
Step-by-step explanation:
J = mass of nuts gathered by James
H = mass of nuts gathered by Harry
J = 12 + H
J = 3H
3H = 12 + H
3H - H = 12 + H - H
2H = 12
H = 6 kg
J = 18 kg
Answer: 6 cm
Step-by-step explanation:
6 cm is the radius because half the diameter is the radius
