Provide an appropriate response.Under what circumstances might a system of equations be solved more easily by graphing than by substitution?
What will be an ideal response?
A system of equations might be solved more easily by graphing than by substitution when there are integer solutions and the substitution method requires extensive computations with fractions. (Answers may vary.)
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Solve the problem.An oil storage tank can be described as the volume generated by revolving the area bounded by
about the x-axis. Find the volume
of the tank.
A. 44.3 m3 B. 1320 m3 C. 1.85 m3 D. 177 m3
Integrate the function f over the given region.f(x, y) = over the square 4 ? x ? 6, 4 ? y ? 6
A. ln
B. 2
C. 2
D.
Given f(x) and g(x), find f(x) ? g(x).f(x) = x2 + x - 7 and g(x) = x2 - 3
A. f(x) ? g(x) = x4 + x3 + 10x2 - 3x + 21 B. f(x) ? g(x) = x4 - 3x2 - 3x + 21 C. f(x) ? g(x) = x4 + x3 - 3x + 21 D. f(x) ? g(x) = x4 + x3 - 10x2 - 3x + 21
Solve.In an electrical circuit, the voltage is equal to the product of the current, measured in amperes (A), and the resistance of the circuit, measured in ohms (?) Suppose the current in a circuit is
and the resistance is
Find the voltage. Round to the nearest hundredth, if necessary.
A. -1.84 V B. -44.1 V C. 4.1 V D. -0.54 V