Factor and simplify the expression.sec4x - 2 sec2x tan2x + tan4x
A. sec2x (1 + tan2x)
B. 2
C. 1
D. sec2x + tan2x
Answer: C
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Find the derivative of the function at P0 in the direction of u.f(x, y) = tan-1 , P0(10, 5), u = 12i - 5j
A.
B.
C.
D.
Sketch the graph and show all local extrema and inflection points.y = x + sin x, 0 ? x ? 2?
A. Local minimum: (0, 0)
Local maximum: (2?, 2?)
Inflection point: (?, ?)
B. Local minimum: (0, 0)
Local maximum: (2?, 2?)
No inflection points
C. Local minimum: (0, 0)
Local maximum: (2?, 2?)
Inflection point: (?, ?)
D. Local minimum: (0, 0)
Local maximum: (2?, 2?)
No inflection points
Multiply.(7x2 - 6x)(7x2 + 6x)
A. 49x4 - 36x2 B. 7x4 - 6x2 C. 49x4 + 84x3 - 36x2 D. 49x4 - 84x3 - 36x2
Solve the equation.72x = 5x + 1 (Round to the nearest thousandth.)
A. 4.783 B. 0.827 C. 1.827 D. 0.705