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Question: 19 21 27 35...

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19 21 27 35
DİRCISES 1.1 Endpoints of a diameter AI4, -3) and B-2,7 60 61-66: Find an equation of the line that satisfies al Find the diameter of the second tablet so that its the given conditions 61 Through A5,-3, stope4 62 Through A1,4); slope i s x-intercept 4y-intercept-3 surface area is equal to that of the first tablet. b) Find the volume of each tablet. 76 A manufacturer of tin cans wishes to construct a right circular cylindrical can of height 20 centimeters and of capacity 3000 cm (see figure). Find the inner radius r of the can EXERCISE 76 Through AK5, 2) and Bl-1,4 6s Through A2, -4 parallel to the line 5x 2y-4 s Through Al7. -3perpendicular to the line 2x -Sy 8 Eser. 67-68: Find an equation for the perpendicular bisector of AB 67 413,-1, B-2, 6) Exer. 69-72: Sketch the graphs of the lines and find their 20 cm 68 A(4, 2), B-2,10 69 2x+3y 2:x-2y-8 70 4x+Sy-13; 3xy 712x+5y-16; 3x-»-24 77 Shown in the figure is a simple magnifier consisting of a convex lens.The object to be magnified is positioned so that its distance p from the lens is less than the focal length f. The linear magnification M is the ratio of the image size to the object size. It is shown in physics that M- jf-p). If f 6 cm, how Ear should the object be placed from the lens so that its image appears at least three times as large? 司73 Approximate the coordinates of the point of intersection of the lines l 74 Approximate the smallest root of the following equaEXERCISE 77 tion: x (6.7 x 10x+1.08-0. To avoid caleulating a zero value for this root, rewrite the quadratic formula lmage Object 7s The rate at which a tablet of vitamin C begins to dissolve depends on the surface area of the tablet. One brand of tablet is 2 centimeters long and is in the shape of a cylin der with hemispheres of diameter 0.5 centimeter attached to both ends (see figure). A second brand of tablet is to be manufactured in the shape of a right circular cylinder 78 As the altitude of a space shuttle increases, an astro- nauts weight decreases until a state of weightlessness is altitude of x kilometers above sea level is given by W-125 6400+ x of altitude 0.5 centimeter EXERCISE 75 achieved. The weight of a 125-pound astronaut at an 12 6400 0.5 cm At what altitudes is the astronauts weight less than 5 pounds? 79 The braking distance d (in fect) of a car traveling e mi/hs that result in braking distances of less than 75 feet. 80 For a drug to have a beneficial effect, its concentration is approximated by d-+(e/20). Determine velocities 0.5 cm in the bloodstream must exceed a certain value, the
Ьу 2 and the sec the give 61 Thr 62 Th 9x-6y 24 Next we add both sides of the equations, to obtain 17x=34, or x-2. This is the x-coordinate of the point of intersection. To find the coordinate of P, we let x 2 in 4x+3-5, obtaining 64 Th 65 Th 412) +3y 5, or y-1. Th Hence P has coordinates (2, -1) Exer bisect 67 A Exer point EXERCISES 1.1 34 x 30002 36 13x 7 25 38 -11 7x>6 Exer. 1-8: Rewrit te without using the absolute value 33x2 20.001 69 2 70 4 71 72 35 12x + 5 <4 zel (4)16-71 al 4- pl 5-21 삐-11+1-91 Exer. 39-40: Describe the set of all points P(x,y) in. T-4 -15 coordinate plane that satisfy the given condition. 6 15-xlifx>5 Exer. 9-12: Solve the equation by factoring 915x2-128 11 2x(4x + 15)-27 Exer. 13-16: Solve the equation by using the quadratic Exer. 41-42: Find (ald(A, B) and jbj the midpoint of AB 41 A(4, -3), B(6, 2) 43 Show that the triangle with vertices A(8, 5),B(1,- 10 15x2-14 = 29x 12 x(3x + 10)= 77 42 Al-2,-5), BI4,6) and Cl-3, 2) is a right triangle, and find its area. formula. 13 x +4x +2-0 15 2x2-3x-4-0 Exer. 17-38: Solve the inequality and express the solu- tion in terms of intervals whenever possible. 17 2x +5<3x-7 44 Show that the points A(-4,2), BIA), a3,-1),and 75 D(-2, -3) are vertices of a square. 16 3x2 + 5x +1=0 Exer. 45-56: Sketch the graph of the equation 46 yx2 50 yx+1 45 y-2x-1 47 x- 18 x-8>5x +3 48 x 4x +1 202S0 22 x +4x+320 24x2-4x-11s4 26 x(3x -1)s4 23 x-2x-5>3 25 x(2x +3) 25 Exer. 57-60: Find an equation of the circle that satisfies the given conditions. 57 Center C(2, -3); radius 5 58 Center C-4,6); passing through P(1, 2) 59 Tangent to both axes; center in the second quadrant 283x + 5 29-2 2 x+1 31 jx +3 < 001 32 |x-41s 003 radius 4
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