Write the equation for the line in the standard form.Containing (3, 3) and perpendicular to the graph of 3x + 4y = 4.
A. 4x + 3y = 3
B. 4x - 3y = 21
C. 3x - 4y = 3
D. 4x - 3y = 3
Answer: D
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Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = 8, saddle point; f(4, 4) = 520, local maximum B. f(0, 0) = 8, test is inconclusive C. f(4, 0) = 8, local minimum; f(0, 4) = 8, local minimum D. f(4, 4) = 520, local maximum
Evaluate the improper integral.
A.
B.
C.
D.
Two sides and an angle are given. First, determine whether the given information results in no triangle, one triangle, or two triangles. Solve each resulting triangle.C = 35°, a = 18.7, c = 16.1
A. one triangle; A = 42°, B = 103°, b = 27.4 B. no triangle C. two triangles; A1 = 42°, B1 = 103°, b1 = 27.4 or A2 = 138°, B2 = 7°, b2 = 3.4 D. two triangles; A1 = 103°, B1 = 42°, b1 = 27.4 or A2 = 7°, B2 = 138°, b2 = 3.4
Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.54
A. whole, rational, real B. integer, rational, real C. natural, whole, integer, rational, real D. real