Essential Calculus: Early Transcendentals; MAC 2311 Sequence| MAC 2281Sequence USF (Essential Calculus)
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Chapter A, Problem 85E
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To prove: The subtraction formula cos(αβ)=cosαcosβ+sinαsinβ.

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Evaluate the following integrals, showing all your working
Consider the function f(x) = 2x³-4x2-x+1. (a) Without doing a sketch, show that the cubic equation has at least one solution on the interval [0,1]. Use a theorem discussed in lectures, or see Section 1.8 of Calculus (7th ed) by Stewart. Ensure that the conditions of the theorem are satisfied (include this in your solution) (b) Now, by sketching the cubic (by hand or by computer), you should see that there is, in fact, exactly one zero in the interval [0,1]. Use Newton's method to find this zero accurate to 3 decimal places. You should include a sketch of the cubic, Newton's iteration formula, and the list of iterates. [Use a computer if possible, e.g., a spreadsheet or MatLab.]
Evaluate the following integrals, showing all your working

Chapter A Solutions

Essential Calculus: Early Transcendentals; MAC 2311 Sequence| MAC 2281Sequence USF (Essential Calculus)

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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