What is the gradient and wind a set of 7X plus 4Y -10?

Answer 1

To find the gradient of the function ( f(x, y) = 7x + 4y - 10 ), we compute the partial derivatives with respect to ( x ) and ( y ). The gradient, denoted as ( \nabla f ), is given by ( \nabla f = \left( \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y} \right) = (7, 4) ). This indicates that the steepest ascent of the function occurs in the direction of the vector ( (7, 4) ). The term "wind" is not standard in this context; if you meant "direction of the gradient," it is indicated by the gradient vector.