Give an appropriate answer.How are the partial derivatives ?f/?x and ?f/?y of a function f(x,y) defined? How are they interpreted and calculated?
What will be an ideal response?
Definitions:
(a, b) = 
and 
(a, b) = 
?f/?x is the slope of the line tangent at (a,b) to the cross-section curve z = f(x, b).
?f/?y is the slope of the line tangent at (a,b) to the cross-section curve z = f(a, y).
?f/?x is calculated by treating y as a constant and then applying the standard rules for differentiation of a function with respect to x.
?f/?y is calculated by treating x as a constant and then applying the standard rules for differentiation of a function with respect to y.
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Provide an appropriate response. Examine the signs of the sine and cosine in each of the four quadrants. Now look at the sign of the tangent in each of the four quadrants. What conclusion can you make?
What will be an ideal response?
Solve.It is recommended that there be at least 11.1 square feet of ground space in a garden for every newly planted shrub. A garden is 18.5 feet by 15 feet. Find the maximum number of shrubs the garden can accommodate.
A. 10 shrubs B. 2 shrubs C. 25 shrubs D. 92 shrubs
Select the graph of degenerate conic.
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B. ?
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Draw the graph of the equation.
A. 
B. 
C. 
D. 