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Math 1320 Winter Semester 2006
Practice #2 for Exam 1
Exam Time: February 22, 2006
6:30 7:30pm
Check WebCT or Course Homepage for your exam location.
- Write an equation of the line that passes through the point (i) parallel to the given line, and (ii) perpendicular to the given line.
( )
Point Line –6, 4 4 x – 3 y =– A) (i) Parallel: 4 x – 3 y =– (ii) Perpendicular: 3 x + 4 y =– B) (i) Parallel: 4 x – 3 y =– (ii) Perpendicular: 3 x + 4 y =– C) (i) Parallel: –4 x – 3 y =– (ii) Perpendicular: –3 x + 4 y =– D) (i) Parallel: 4 x + 3 y =– (ii) Perpendicular: 3 x + 4 y =– E) (^) (i) Parallel: –4 x – 3 y =– (ii) Perpendicular: 4 x – 3 y =–
- Find the domain and range of the function.
f ( ) x = x^2 – 10 A) (^) Domain: (^) ( -• •, )
Range: (^) [ –10, • ) B) (^) Domain: (^) ( -• •, )
Range: (^) ( –10, • ) C) (^) Domain: (^) ( -• •, )
Range: (^) [10, • ) D) (^) Domain: (^) [ –10, • )
Range: (^) [ –10, • ) E) (^) Domain: (^) [ –10, • )
Range: (^) ( –10, • )
- Find the average rate of change of the function f ( ) x = 2 x^2 + 5 on the interval [ 3, 4]-.
A) 23 B) 4 C) 2 D) 14
- Find the derivative of the following function using the limiting process.
f ( ) x =–4 x^2 – 9 x A) (^) – B) (^) –8 x – 9 C) (^) –8 x + 9 D) –8 x E) None of the above
- Find the derivative of the following function using the limit definition of the derivative.
f ( ) x = –3 x^3 + 6 x^2 - 3
- Use the product rule to differentiate.
f t ( ) = t 7 - t^3 A) (^) 3.5 7 3 '( ) 3 2
t f t t t
B) 3.5 7 3
t f t t t
C) 2.5 7 3
t f t t t
D) 2.5 7 3
t f t t t
E) None of the above
- Find an equation of the tangent line to the graph of the function given below at the given point.
( y - 9)^2 = 10( x - 4), ( 14.00, –1.00^ ).
(The coefficients below are given to two decimal places.) A) y =0.5 x + 6. B) y =–0.50 x + 8. C) y = 0.50 x - 8. D) y =–0.50 x + 6. E) y =0.50 x + 8.
- Find the slope of the graph of the function at the given value.
f ( ) x = –3 x^3 - 3 x^2 when (^) x = 4
- Find the second derivative of the function.
v v R v v
- Evaluate the derivative of the function at the given point.
y = 4 8 x^4 + 4 x , x = 1
- Find dy/dx by implicit differentiation.
(^9 2 2 ) x + y = 16
- A manufacturer determines that the profit P (in dollars) derived from selling x units of a
certain item is given by P = 0.005 x^3 + 9 x. Find the marginal profit for a production level of 47 units. A) $42. B) $42. C) $42. D) $42. E) None of these
