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# Calculus and Analytic Geometry I MATH 1823

OU

GPA 3.99

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This 2 page Class Notes was uploaded by Einar Nitzsche on Monday October 26, 2015. The Class Notes belongs to MATH 1823 at University of Oklahoma taught by Staff in Fall. Since its upload, it has received 7 views. For similar materials see /class/229297/math-1823-university-of-oklahoma in Mathematics (M) at University of Oklahoma.

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## Reviews for Calculus and Analytic Geometry I

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Date Created: 10/26/15

Review for the Final MATH 1823 001 Fall 2002 1 Calculate the limits 357 3V 21 hmzaZ 4 b hmsz Ail z 61 11 3177164405 7 tanBac C hmwg o tani mv7 sin 71 d limzal z2z727 971 e llmg o Cosine 2 Find an equation of the tangent line to the curve 32 w32 7 x at 17 1 3 Show that the graphs of the equations 32 732 5 and 432 9312 72 intersect at right angles 4 The angle of elevation of the sun is decreasing at a rate of 025mdh How fast is the shadow cast by a 400 foot tall building increasing when the angle of elevation of the sun is 7r6 5 Find the linearization of ne 51 390 at a 0 Use it to give an approximate value for 3 103 6 Show that 1wlt112w ifwgt0 7 Sketch the graph of the function that satis es all of the given condi tions 0 limzng x 700 o f w lt 07 ifw 733 0 f 0 0 o f wgt0ifwgt30rwlt0 o f wlt0if0ltwlt3 8 A conical drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges Find the maximum capacity of such a cup 9 Find an equation of the line through the point 3 5 that cuts off the least area from the rst quadrant 10 Find the local and absolute extreme values of the function on the given interval a fw V902 490 8 on 730 b fw w 7 xisinw on 07r 11 Show that the equation 53101 5351 w 7 1 O has exactly one real root 12 Find the point on the hyperbola my 8 that is closest to the point 37 0 13 Find fac7 if f w 4 7 432 3x 7 2 and f0 0f1 1 14 A canister is dropped from a helicopter 500 m above the ground lts parachute does not open7 but the canister has been designed to Withstand an impact velocity of 100 msec Will it burst or not

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