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Calculus
Practice Quiz 293


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Find dy/dx   at the given point.

1.  y = x 9/4 @ (1,1)
  1
9/4
-1
2.  x2y + xy2 = 6 @ (1,1)
1
9/4
-1
3.  y =(4 - 3x)9 @ (1,1)
  27
-12
-27
Choose the best answer.
4.  Use linearization to estimate
the value of 
.
6.33333
6.32455
6.35714
5. Find the linearization L(x) for
f(x) = 2x2 + 4x + 3 @ x = 2.
f(x) = 19x + 12
f(x) = 12x - 5
f(x) = 12x + 19
6.  For y = 1 / (x + 2)  , find the equation
of the line tangent @ x = 3
.
y - 1/5 = -(x - 3)
y - 1/5 = -1/25(x - 3)
y - 1/5= -1/3x + 3

7. Identify all critical points for
f(x) = x3 + x2 - 8x + 5.

8. A root of y = x4 - 2x3 - x2 - 2x + 2
using Newton's Method is:
.63012
.63011
.63829
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