Graph f(x) = x² + 2x – 3.
What will be an ideal response?
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Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. 
= (y cos xy)(cos yz2); 
= (z2 sin xy)(sin yz2)- (x cos xy)(cos yz2); 
= 2(yz sin xy)(sin yz2)
B. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= 2(yz sin xy)(sin yz2)
C. 
= (y cos xy)(cos yz2); 
= (x cos xy)(cos yz2); 
= -2(yz sin xy)(sin yz2)
D. 
= (y cos xy)(cosyz2); 
= (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); 
= -2(yz sin xy)(sin yz2)
Find fx, fy, and fz.f(x, y, z) = x2y + y2z + xz2
A. fx = 2xy + z2; fy = x2 + yz; fz = y2 + xz B. fx = 2xy; fy = x2 + 2yz; fz = y2 + 2xz C. fx = 2xy + z2; fy = x2 + 2yz; fz = y2 + 2xz D. fx = 2y + z2; fy = x2 + 2z; fz = y2 + 2x
Decide whether the relation defines a function. Student Test Score
A. Function B. Not a function
Let A = {3, 5, 7} and B = {15, 16, 17, 18}, and define a relation R from A to B as follows: For all (x, y) ? A × B,
(x, y) ? R ? y/x is an integer. (a) Is 3 R 15? Is 3 R 16? Is (7, 17) ? R? Is (3, 18) ? R? (b) Write R as a set of ordered pairs. (c) Write the domain and co-domain of R. (d) Draw an arrow diagram for R. (e) Is R a function from A to B? Explain.