1999 Calc 3- Exam 1

# 1999 Calc 3- Exam 1 - MA 261 EXAM 1 Name 1 Find the...

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MA 261 EXAM 1 Name 1. Find the equation of the plane containing (0 , 1 , 2) and whose normal is perpendicular to both ¯ a = ¯ i + ¯ j , ¯ b = ¯ j - ¯ k . A. x + y + z =3 B. - x + y + z =3 C. x - y - z =3 D. x + y + z = - 3 E. None of the above 2. The distance between the plane 2 x + y +2 z =4 and the point (1 , 7 , 2) is A. 1 B. 2 C. 3 D. 4 E. None of the above 1

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MA 261 TEST 1 Name 3. A unit tangent vector to the graph of y =2 x 3 at (1 , 2) is given by A. ¯ i +6 ¯ j 37 B. ¯ i +4 ¯ j 17 C. ¯ i - ¯ j 2 D. 2 ¯ i +3 ¯ j 13 E. ¯ i +2 ¯ j 5 4. A particle is moving with acceleration 4 ¯ j +6 t ¯ k . If the position at time t =1i s ¯ r (1) = ¯ i +3 ¯ j + ¯ k and the velocity at time t =0is¯ v (0) = ¯ i + ¯ j , then the position at time t =2is A. 4 ¯ i +10 ¯ j +10 ¯ k B. ¯ i +4 ¯ j +10 ¯ k C. ¯ i + 8 3 ¯ j +4 ¯ k D. 2 ¯ i +10 ¯ j +8 ¯ k E. 2 ¯ i +8 ¯ j +8 ¯ k
TEST 1 Name 5. Which of the following surfaces represents the graph of z = x 2 4 + y 2 in the 1st octant. 3

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1999 Calc 3- Exam 1 - MA 261 EXAM 1 Name 1 Find the...

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