Provide an appropriate response.Given x3y + y2x = 10, find both dy/dx (treating y as a differentiable function of x) and dx/dy (treating x as a differentiable function of y). How are dy/dx and dx/dy related?
What will be an ideal response?
= - 
= - 
dy/dx and dx/dy are reciprocals; that is, 
= 
.
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Solve the problem.A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5.50, and a croissant costs twice as much as a cup of coffee. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 25% and the price of coffee will go up 10%. After the increase, the total price of the purchase will be $5.95. Find the cost of each item before the increase.
A. A fruit bowl costs $3.25, a croissant costs $0.83, and a cup of coffee costs $1.88.
B.
| A fruit bowl costs $3.25, a croissant costs $1.50, and a cup of coffee costs $0.75. |
C. A fruit bowl costs $3.25, a croissant costs $1.88, and a cup of coffee costs $0.83.
D. The prices cannot be determined from the given information.
Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.
Solve the problem.Fill in the blank.13
+ 8
cannot be simplified because the _________ are not the same.
A. coefficients B. variables C. roots or indexes D. radicands
Solve by the method of your choice.y2 - 10y = -729
A. 5 ± 8
B. 5 ± 8i
C. -5 ± 8i
D. 5 ± i