Find the Jacobian 
or 
(as appropriate) using the given equations.x = 9u cosh 2v, y = 9u sinh 2v
A. 162v
B. 36v
C. 36u
D. 162u
Answer: D
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Write the indicated function.Sue wants to put a rectangular garden on her property using 84 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.
A. A(x) = 43x - 2x2
B. A(x) = 42x - 
x2
C. A(x) = 41x - 
x2
D. A(x) = 42x2 - x
Solve.From a 24-inch by 24-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of an inch, that will yield the maximum volume.
A. 3.7 inches B. 3.8 inches C. 4.1 inches D. 4.0 inches
Find the vertices of the hyperbola.  figure 1.png)
 figure 2.png)
Find the values that make the equation true.
= 
A. x = 2; y = -4; m = -9 B. x = 4; y = -2; m = 9 C. x = -2; y = 4; m = 9 D. x = 2; y = 4; m = -9