Let f(x) = 8x2 - 5x and g(x) = 7x + 9. Find the composite.f[g(3)]
A. 7050
B. 618
C. 1212
D. 408
Answer: A
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Differentiate the function.r(t) = (cot t)i + (csc t)j
A. r'(t) = (sec2 t)i + (tan t sec t)j B. r'(t) = (csc2 t)i + (cot t csc t)j C. r'(t) = (-csc2 t)i - (cot t csc t)j D. r'(t) = (-sec2 t)i - (tan t sec t)j
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 10x = 4y - 49
A. vertex: (5, 6)
focus: (4, 6)
directrix: x = 6
B. vertex: (5, 6)
focus: (5, 5)
directrix: y = 7
C. vertex: (5, 6)
focus: (6, 6)
directrix: x = 4
D. vertex: (5, 6)
focus: (5, 7)
directrix: y = 5
Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = 3x5 - 4x2 + x + 4
A. 5; 3 or 1 positive zeros; 3 or 1 negative zeros B. 5; 2 or 0 positive zeros; 1 negative zero C. 5; 2 or 0 positive zeros; 2 or 0 negative zeros D. 5; 2 or 0 positive zeros; 1 or 0 negative zeros
List the intercepts of the graph.
A. (0, 6), (6, 0) B. (-6, 0), (0, -6), (0, 6), (6, 0) C. (-6, 0), (0, -6), (0, 0), (0, 6), (6, 0) D. (-6, 0), (0, 6)