The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Use the graph to answer the question.
At what time was the temperature the lowest?
A. 9 a.m.
B. 6 p.m.
C. 1 p.m.
D. 10 a.m.
Answer: A
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Consider the initial value problem. Find the approximations of y(0.2) and y(0.4) using Euler's method with a time step of 
Then using the exact solution given, compute the errors in the Euler approximations at 
and 
Round answers to five decimal places, do not use intermediate rounding.y'(t) = 
, y(0) = 8; y(t) = 8et/8
A. 
; 
B. 
; 
C. 
; 
D. 
; 
Find the gradient field F of the function f.f(x, y, z) = ln (x6 + y7 + z7)
A. F = 
i + 
j + 
k
B. F = 
i + 
j + 
k
C. F = 
i + 
j + 
k
D. F = 
ln ( y7 + z7)i + 
ln (x6 + z7)j + 
ln ( x6 + y7)k
Solve the problem.Let D be the region bounded below by the cone 
and above by the sphere 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Provide an appropriate response.If f(x0, y0) = -2 and the limit of f(x, y) exists as (x,y) approaches (x0, y0), what can you say about the continuity of 
at the point 
Give reasons for your answer.
What will be an ideal response?