For the given direct statement, write the indicated related statement (converse, inverse, or contrapositive).~q ? ~p (contrapositive)
A. ~(q ? p)
B. p ? q
C. ~(p ? q)
D. q ? p
Answer: B
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Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from the origin at an angle of ? radians to the horizontal and an initial speed of Find the position function r(t) for this projectile.
A. r(t) = (50t sin ?)i + (50t cos ? - 16t2)j B. r(t) = (50t cos ? - 32t2)i + (50t sin ?)j C. r(t) = (50t cos ?)i + (50t sin ? - 16t2)j D. r(t) = (50t sin ? - 16t2)i + (50t cos ?)j
Determine the solution to the system of inequalities.x ? 4y ? -3
A.
B.
C.
D.
Evaluate using integration by parts.ln 7x dx
A. x5 ln 7x -
x6 + C
B. ln 7x - x5 + C
C. x5 ln 7x -
x5 + C
D. x5 ln 7x +
x5 + C
Find the slope.Find the slope of a line perpendicular to the line x = -3.
A. -
B. -3
C. 0
D. undefined