Provide an appropriate response.Fill in the blank to complete the statement. A proof by mathematical induction is used to prove that a statement is true for all ? .
A. real numbers
B. integers
C. positive integers
D. rational numbers
Answer: C
Mathematics
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Apply Green's Theorem to evaluate the integral.
(5y + x) dx + (y + 2x) dyC: The circle (x - 6)2 + (y - 1)2 = 4
A. -12? B. -12 C. 12? D. -72
Mathematics
A triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) has area equal to the absolute value of D, where D = 
.Find the area of the triangle having vertices at P, Q, and R.P(0, 5), Q(5, 8), R(7, 4)
A. 26 B. 0 C. 2 D. 13
Mathematics
Solve.If y varies directly as x and y = 15 when x = 3, what is the value of y when 
A. 9 B. 35 C. 25 D. 49
Mathematics
Find all solutions of the equation in the complex number system.x2 + 36 = 0
A. {6, -6} B. {18} C. {6} D. {6i, -6i}
Mathematics