In the figure ACDF is a parallelogram and AD and BE bisect each other. Prove that BC ? FE
AC ? FD since they are opposite sides in a parallelogram. AG ? GC and BG ? GE because AD and BE bisect each other. ?AGB and ?EGD are congruent because they are vertical angles. So ?AGB ? ?DGE by SAS. AB ? ED by C.P. Finally, since AB + BC = AC and FE + ED = FD, BC ? FE
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Find the gradient field of the function.f(x, y, z) = ex4 + y3 + z6
A. ?f = x3ex4 + y3 + z6i + y2ex4 + y3 + z6j + z5ex4 + y3 + z6k B. ?f = 4x3ex4 + y3 + z6i + 3y2ex4 + y3 + z6j + 6z5ex4 + y3 + z6k C. ?f = x4ex4 + y3 + z6i + y3ex4 + y3 + z6j + z6ex4 + y3 + z6k D. ?f = 4x3ex4i + 3y2ey3j + 6z5e z6k
Find the exact value of the trigonometric expression without the use of a calculator.sin 105°
A. 
B. - 
C. - 
D. 
Solve the problem.Joe has a collection of nickels and dimes that is worth $5.30. If the number of dimes were doubled and the number of nickels were increased by 13, the value of the coins would be $9.95. How many dimes does he have?
A. 20 dimes B. 40 dimes C. 26 dimes D. 13 dimes
Graph the function.y = tan 
A. 
B. 
C. 
D. 