MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Find the slope of the tangent line to the curve y = 4x 1) _______
at the point (-1, 0).
A) -1
B) -2
C)
D) 2
E) 6
Answer: E
2) Find the equation of the tangent line to the curve y = 2x A) 2x + y + 4 = 0
B) 2x + y = 0
C) 2x - y + 4 = 0
D) 2x - y - 4 = 0
E) 2x + y - 4 = 0
Answer: E
at the point (2, 0).
3)
2) _______
3) _______
Find an equation of the line tangent to the curve y = 2x A) 25y = 41x + 1
B) 25y = 49x - 1
C) 25x = 49y + 1
D) 5y = 49x + 1
E) 25y = 49x + 1
Answer: E
4) Find an equation of the line tangent to the curve y =
A) y = 12x -15
B) y = - 12x + 15
C) y = 12x + 15
D) y = 15x + 12
E) y = - 12x -15
Answer: A
at the point where x = 2 .
+ 1 at the point where x = 2.
4) _______
5) Find an equation of the line tangent to the curve y =
A) y = -4x + 12
B) y = 4x - 12
C) y = -4x + 4
D) y = 4x + 4
E) y = 4x - 4
Answer: C
at the point where x = 2 .
5) _______
6) Find an equation of the line tangent to the curve y =
A)
at the point where x = 11.
6) _______
B)
C)
D)
y=
x-
y = 4x y = 4x +
y=
x+
E)
y =- x Answer: A
7)
Find an equation of the line tangent to the curve y =
A) y = 3x - 10
B)
C)
D)
E)
y=
x+
y=-
x-
y=
x-
7) _______
at the point (1, 3).
y=- x+
Answer: E
8) Find the point(s) on the curve y =
A) (3, 27) and (-3, -27)
B) (2, 8) and (-2, -8)
C) (
,
) and (
,D) (4, 64)
E) (1, 1) and (-1, -1)
Answer: B
at which the slope of the curve is 12.
8) _______
9) Find the point(s) on the curve y =
pass through (2, -12).
A) (-6, 36) and (-2, 4)
B) (6, -36) and (-2, 4)
C) (6, 36) and (2, 4)
D) (6, 36) and (-2, 4)
E) (-6, 6) and (-2, 4)
Answer: D
such that the tangent lines to the curve at those points
)
10) Find the standard equation of the circle with center at (1, 3) which is tangent to the line 5x - 12y
= 8.
A)
+
=8
B)
C)
D)
E)
Answer: D
+
=8
-
=1
+
=9
+
=9
11)
9) _______
10) ______
11) ______
If the line 4x - 9y = 0 is tangent in the first quadrant to the graph of y =
value of c?
A)
B)
C)
D)
+ c, what is the
E)
-