Answer:
The magnitude is 
The direction is 
i.e toward the x-axis
Step-by-step explanation:
From the question we are told that
The function is 
The point considered is 
Generally the maximum rate of change of f at the given point and the direction is mathematically represented as
![\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%20%5B%5Cfrac%7B%5Cdelta%20%20f%28x%2Cy%29%7D%7B%5Cdelta%20x%20%7D%20i%20%2B%20%5Cfrac%7B%5Cdelta%20%20f%28x%2Cy%29%7D%7B%5Cdelta%20y%20%7D%20j%20%20%5D)
![\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%20%5B%5Cfrac%7B%5Cdelta%20%20%289sin%28xy%29%29%7D%7B%5Cdelta%20x%7D%20i%20%20%2B%20%5Cfrac%7B%5Cdelta%20%20%289sin%28xy%29%29%7D%7B%5Cdelta%20y%7D%20i%20%20%20%5D)
![\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%5B9y%20cos%20%28x%2Cy%29%20i%20%2B%20%209xcos%20%28x%2Cy%29%20j%5D)
At
![\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]](https://tex.z-dn.net/?f=%5CDelta%20%20f%20%280%2C8%29%20%3D%20%20%5B9%288%29%20cos%280%2A%208%29i%20%20%2B%209%288%29%20sin%280%2A%208%29j%20%20%5D)
The formula for finding the perimeter of a circle is P = 2 x 3.14 x r
The perimeter would be 2 x 3.14 x 14
The perimeter is 87.92 cm
There are 6 pints 14 ounces left. But with you need in quarts and ounces it would be <span>3 quarts 14 ounces.
Hope this helps!</span>
Answer:
square root of 2
Step-by-step explanation:
Sides are 1 and 1 and the hypotenuse is the longest side (opposite the right angle)
We can use pythagerouses theorem : a^2+b^2=c^2
this means that 1^2+1^2=c^2
1+1=c^2
2=c^2
c=2/sqrt
c is the square root of 2
the hypotenuse is the square root of 2
Parabola: is a two-dimensional, mirror-symmetrical curve, which is
approximately U-shaped when oriented as shown in the diagram below, but
which can be in any orientation in its plane. It fits any of several
superficially different mathematical descriptions which can all be
proved to define curves of exactly the same shape.
Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type
of smooth curve lying in a plane, defined by its geometric properties or
by equations for which it is the solution set. A hyperbola has two
pieces, called connected components or branches, that are mirror images
of each other and resemble two infinite bows
Hope this Helps
