Determine whether the triangles in the given pair are congruent. If so, state the property that shows the triangles are congruent.
A. congruent; SAS
B. congruent; AAS
C. congruent; ASA
D. not congruent
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = ln (x2y - x)
A. =
;
= -
;
=
= -
B. =
;
= -
;
=
= -
C. =
;
=
;
=
=
D. =
;
= -
;
=
= -
Add or subtract as indicated. Express the answer in pounds and ounces.23 lb 14 oz - 15 lb 9 oz
A. 7 lb 5 oz B. 39 lb 7 oz C. 38 lb 7 oz D. 8 lb 5 oz
Write the phrase as a mathematical expression. Use x as the variable.The sum of a number and 15
A. 15x
B. x + 15
C.
D. x - 15
x? = x(0.1? 0.07x ? 0.005y) , y? = y (0.05 ? 0.002x ? 0.0017y) , x (0) = 3, y (0) = 7
For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500 .