FinalReview2 - -2r 3:0 Use the linearization of the...

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Math 1710 Final Review 7 22. Let : z(0 : 0<r . -_n . .L-V Is / continuous at r : 0? If so, show why. If not, determine if 0 is a removable 27. discontinuity. 23. Let Find a) lim, /(z) '4UT b) Iim f(z) .x+U- c) lim /(r) d) lim f(z) r+u- e) lim f(r) ' z-2t' ' ' 24. Use all the information you can concern- ing the first and second derivative and asymptotes to sketch the graph of rt-\ - 13 +32 Use all the information you can concern- ing the first and second derivative and adymptotesto sketch the graph of g(r) : 2 Use all the information you can concern- ing the first and second derivative and asymptotes to sketch the graph of f('):ra-2r2+4 Explain how the mean value theorem im- plies that if you average speed over some time interval is 70 miles per hour, then at some time in that interval you were traveiing with a speed of 70 miles per hour. Given that 11 : 0, find 12 when using Nern'ton's method to solve 13 +4r2
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Unformatted text preview: -2r* 3:0. Use the linearization of the appropriate function to estimate sin(r/3 + .01). A beacon of light 200 m offshore rotates twice per minute, forming a spot of light that moves along a straight wall along the shore. How fast is the spot of Iight moving when the spot is at the point P, directly opposite the beacon? When it is 200 meters from point P? A man walks directly under a street Iight. The man is 6 feet taii, the light is 15 feet above the ground, and the man walks at 3 feet per second. How fast is the shadow of the man growing when he is 5 feet from directly under the light? A conical cup is to.hold 100 cm3. What dimensions will give it the least surface area? 26. (Y tt_\ _ ) tan5r r\r')- t ", | 2r+3 : r<0 f(r\:1 3r-T : 0(z(1 Izr-e ' ,rt-28. 29. 30. 31. 12 25. 32. ? 3r'z*1...
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