Graph the integrand and use geometry to evaluate the integral.

A. 40
B. 10
C. 20
D. 80


Answer: A

Mathematics

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Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same meaning as the original.11 ? 23

A. 23 ? 11 B. 23 > 11 C. 23 ? 11 D. 11 ? 23

Mathematics

Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry.f(x) = -4x2

A. vertex (0,0)
axis of symmetry: x = 0

B. vertex (0,0)
axis of symmetry: x = 0

C. vertex (0,0)
axis of symmetry: x = 0

D. vertex (0,-4)
axis of symmetry: x = 0

Mathematics

Solve the problem.The growth in population of a city can be seen using the formula p(t) = 9768e0.003t, where t is the number of years. According to this formula, in how many years will the population reach 14,652? Round to the nearest tenth of a year.

A. 270.3 yr B. 135.2 yr C. 101.4 yr D. 67.6 yr

Mathematics

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 

A. No x-intercepts, y-intercept: (0, 4) ;

B. No x-intercepts, y-intercept: (0, -4) ;

C. x-intercepts: (-4, 0) and (1, 0) , 
y-intercept: (0, -4) ;

D. No x-intercepts, y-intercept: (0, -4) ;

Mathematics