If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (7 cos t)i + (6 sin t)j
A. a = (-7 cos t)i + (-6 sin t)j
B. a = (-7 sin t)i + (-6 cos t)j
C. a = (7 sin t)i + (6 cos t)j
D. a = (7 cos t)i + (6 sin t)j
Answer: A
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Solve the problem.The Celsius temperature at a point (x,y) on a large metal plate is given by T(x, y) = 80 + (x + 1)2(y - 2)2 + (x-2)2 .Find the direction of heat flow in the plate at the point (2, 1). Heat flows in the direction of steepest temperature decrease.
A. In the direction 
B. In the direction 
C. In the direction 
D. In the direction 
Evaluate the integral by making a substitution and then using a table of integrals.
dx
A. (x + 3) tan-1 
- 
+ C
B. 
(x + 3) tan-1 
- 
+ C
C. 
(x + 2) sin-1 
- 
+ C
D. 
(2x + 3) sin-1 
+ 
+ C
Provide an appropriate response.What must be done to the dividend before beginning the "long division" process for (4a2 + 6a4 + 9a3 + 9a + 6) รท (6a + 3)?
What will be an ideal response?
Solve the linear programming problem.Maximize and minimize z = 13x + 2y subject to: x ? 0,
y ? 0,
2x + 3y ? 6,
x ? 10,
y ? 5.
A. maximum: 140; minimum: 130 B. maximum: 140; minimum: 4 C. maximum: 130; minimum: 6 D. maximum: 10; minimum: 6