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Multiple Choice 1. E 2. B 3. D 4. E 5. A Intoken 6. D 7. E 8. C ad of (I S )iniog ad) isMULTIPLE CHOICE - Calculator Permitted 1. What is the slope of the line tangent to the curve defined by j + xy - x2 = 1 1x at the point (2, 3)? A. - N / u B. 0 D. E. 2. The radius of a circle is increasing at a constant rate of 2 meters per second. What is the rate of increase in the area of the circle at the instant when the circumference of the circle is 20x meters? A. 0.04T m2/ sec B. 40m m2 / sec mindat 20 .d C. 47t m2 / sec D. 20m m2 / sec E. 100m m2 / sec3. If x2 - y =x2 -5, then d A. 2x B. y' -2x+5 . 2y-3y2 3y2 -2xy C. 2x-5 D. y' -2x 2y-3y2 3y?-2xy E. xty xy 4. A spherical snowball is melting in such a way that its volume is decreasing at a rate of 2 cm / min . At what rate is the radius changing when the radius is 7 cm? [The volume of a sphere is given by v = 4 73 .] A. 1 - cm / min B. - cm / min YES 49 TT C. I - cm / min 98TT A D. 1 - cm / min 196TT E. 1 cm / min 98 TT 5. The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an edge of the cube is 4 inches, at what rate is the edge of the cube changing? to quibin off s A. -0.5 in/min B. 2 in/min C. -2 in/min D. 0.5 in/min 3021 M NA O E. -2.5 in/minin the triangle shown above, if 6 increases at a constant rate of 3 radians per minute, at what rate IS y decreasmg In units per minute when x equals 3 units? 7. What is the slope of the tangent line to the curve yz 2x2 = 6 by at the point (2, 3)? O A. B. ol' C. D. qlox ~o|~n l E. E 8. The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant when the radius of the sphere is 3 centimeters, what is the rate of change, in square centimeters per second, of the surface area of the sphere? (The surface area, S, of a sphere with radius r is S = 47:12.) A. 1081r B. 727r C. 481t D. 241t E. 161t O. aira it MULTIPLE CHOICE - Graphing Calculator Permitted 1. What is the slope of the line tangent to the curve defined by j + xy - x2 = 11 at the point (2, 3)? A. N/ U B. 0 C. I D. NIW -10 001- E. Inlive in eadpal S arodus and to agbo 2. The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate of increase in the area of the circle at the instant when the circumference of the circle is 207 meters? A. 0.047 m / sec B. 0.47 m / sec nim al 20 a C. 41t m2 / sec D. 20m m2 / sec E. 100m m / sec3. If xy2 -y'=x2 -5, then Figgjoyhercall all my inallgilligan - In Half A. y2 -2x B. y' -2x+5 3y? -2xy 312-2xy C. 2x-5 2y-3y? D. 2x 2y-3y2 E. x+yl xy 4. A spherical snowball is melting in such a way that its volume is decreasing at a rate of 2 cm' / min . At what rate is the radius changing when the radius is 7 cm? [The volume of a sphere is given by V = 473.] A. 1 - cm / min 7 T B. - cm / min 49TT C. 1 - cm / min 49 7 D. - cm / min 1967 E. - cm / min 98n 5. The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an edge of the cube is 2 inches, at what rate is the edge of the cube changing? A. -0.5 in/min bucees mag below 8.0 10 of insteadoo h to gniesstand at olosis a lo eviburn ed T slovis an to conenotmirando sill now Inatent art is slonip and/ to Bors udl al passrodi B. 2 in/min C. -2 in/min D. 0.5 in/min E. -2.5 in/min6. In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what rate is y decreasing in units per minute when x equals 3 units? B. 15 C. 4 D. 9 E. 12 7. What is the slope of the tangent line to the curve 317 - 2x2 =6-2xy at the point (3, 2)? A. 0 B. D. 6 8. The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant when the radius of the sphere is 4.5 centimeters, what is the rate of change, in square centimeters per second, of the surface area of the sphere? (The surface area, S, of a sphere with radius r is S= 412.) A. -1087 B. -72n C. 48n D. -24n E. -167t