Essential Calculus: Early Transcendentals
2nd Edition
ISBN: 9781133112280
Author: James Stewart
Publisher: Cengage Learning
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Chapter A, Problem 68E
To determine
The solutions of the equation
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Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below.
Let g(x) = √ƒƒ(t) dt .
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1. g(0) =
2. g(2) =
3. g(4) =
4. g(6) =
5. g'(3) =
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The expression 3 | (3+1/+1)
of the following integrals?
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(C) 1½-½√ √ ² ( 14 ) d x
(B) √31dx
(D) So 3+x
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is a Riemann sum approximation of which
5
(E) 1½√√3dx
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2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
Chapter A Solutions
Essential Calculus: Early Transcendentals
Ch. A - Prob. 1ECh. A - Convert from degrees to radians. 300Ch. A - Convert from degrees to radians. 9Ch. A - Convert from degrees to radians. 315Ch. A - Convert from degrees to radians. 900Ch. A - Convert from degrees to radians. 36Ch. A - Convert from radians to degrees. 4Ch. A - Convert from radians to degrees. 72Ch. A - Convert from radians to degrees. 512Ch. A - Convert from radians to degrees. 83
Ch. A - Convert from radians to degrees. 38Ch. A - Convert from radians to degrees. 5Ch. A - Find the length of a circular arc subtended by an...Ch. A - If a circle has radius 10 cm, find the length of...Ch. A - A circle has radius 1.5 m. What angle is subtended...Ch. A - Find the radius of a circular sector with angle...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Draw, in standard position, the angle whose...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the exact trigonometric ratios for the angle...Ch. A - Find the remaining trigonometric ratios. sin=35,02Ch. A - Find the remaining trigonometric ratios. tan=2,02Ch. A - Find the remaining trigonometric ratios. sec=1.5,2Ch. A - Find the remaining trigonometric ratios....Ch. A - Find the remaining trigonometric ratios. cot=3,2Ch. A - Find the remaining trigonometric ratios....Ch. A - Find, correct to five decimal places, the length...Ch. A - Find, correct to five decimal places, the length...Ch. A - Find, correct to five decimal places, the length...Ch. A - Find, correct to five decimal places, the length...Ch. A - Prove each equation. (a) Equation 10a (b) Equation...Ch. A - Prove each equation. (a) Equation 14a (b) Equation...Ch. A - Prove each equation. (a) Equation 18a (b) Equation...Ch. A - Prove the identity. cos(2x)=sinxCh. A - Prove the identity. sin(2+x)=cosxCh. A - Prove the identity. sin(x)=sinxCh. A - Prove the identity. sincot=cosCh. A - Prove the identity. (sinx+cosx)2=1+sin2xCh. A - Prove the identity. secycosy=tanysinyCh. A - Prove the identity. tan2sin2=tan2sin2Ch. A - Prove the identity. cot2+sec2=tan2+csc2Ch. A - Prove the identity. 2csc2t=sectcsctCh. A - Prob. 51ECh. A - Prob. 52ECh. A - Prob. 53ECh. A - Prob. 54ECh. A - Prob. 55ECh. A - Prob. 56ECh. A - Prob. 57ECh. A - Prob. 58ECh. A - Prob. 59ECh. A - Prob. 60ECh. A - Prob. 61ECh. A - Prob. 62ECh. A - Prob. 63ECh. A - Prob. 64ECh. A - Prob. 65ECh. A - Prob. 66ECh. A - Prob. 67ECh. A - Prob. 68ECh. A - Prob. 69ECh. A - Prob. 70ECh. A - Prob. 71ECh. A - Prob. 72ECh. A - Prob. 73ECh. A - Prob. 74ECh. A - Prob. 75ECh. A - Prob. 76ECh. A - Prob. 77ECh. A - Prob. 78ECh. A - Prob. 79ECh. A - Prob. 80ECh. A - Prob. 81ECh. A - Prob. 82ECh. A - Prob. 83ECh. A - Prob. 84ECh. A - Prob. 85ECh. A - Prob. 86ECh. A - Prob. 87ECh. A - Prob. 88ECh. A - Find the area of triangle ABC, correct to five...
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- 3. Solve the equation, give the answer exactly (no calculator approximations), and show all your work. (4 points) log5 2x = 3arrow_forwardLet I = f(x) dx, where f is the function whose graph is shown. 4 2 y f X 1 2 3 4 (a) Use the graph to find L2, R2 and M2. R₂ M2 = = = (b) Are these underestimates or overestimates of I? O 42 is an underestimate. O 42 is an overestimate. ◇ R2 is an underestimate. OR2 is an overestimate. OM2 is an underestimate. ○ M2 is an overestimate. (c) Use the graph to find T2. T₂ =arrow_forwardVector u has a magnitude of 23 and vector v has a magnitude of 83. The angle between the two vectors is 126 degrees.a) Draw a fully-labelled vector diagram showing the two vectors and the resultant vector when they are added together.b) Find the magnitude of the resultant vector.c) Find the direction of the resultant vector relative to vector u. Solding by finding the x and y of the vectors and addingarrow_forward
- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forward
- practice problem please help!arrow_forward13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forwardAlt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x) = 5 3arrow_forward
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