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[DOC File]January 2005 - 6664 Core C2 - Question paper
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4. (a) Show that the equation. 5 cos2 x = 3(1 + sin x) can be written as. 5 sin2 x + 3 sin x – 2 = 0. (2) (b) Hence solve, for 0 ( x < 360(, the equation. 5 cos2 x = 3(1 + sin x), giving your answers to 1 decimal place where appropriate. (5) 5. f(x) = x3 – 2x2 + ax + b, where a and b are constants. When f(x) is divided by (x – 2), the ...
calculate sin x 18 cos 41

[DOC File]June 2005 - 6672 Pure P2 - Question paper
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Given that f(x) = (x – 1( – 2, find (c) the value of a and the value of b, (2) (d) the value of x for which f(x) = 5x. (4) 8. (a) Given that 2 sin (( + 30)( = cos (( + 60)(, find the exact value of tan ( (. (5) (b) (i) Using the identity cos (A + B) ( cos A cos B – sin A sin B, prove that. cos 2A ( 1 – 2 sin2 A. (2) (ii) Hence solve ...
sin x 18 cos 41

[DOC File]Ex
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Ex. Trigonometric functions with angle nx (sin 5x)′ = (cos 5x)(5x)′ = (cos 5x)∙5 = 5 cos(5x) (csc 4x)′ = (−csc 4x cot 4x)(4x)′ = −4 csc(4x) cot(4x)
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[DOC File]Pre-Calculus Unit 4- 1st 9-weeks
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Month Jan Feb March April May June July August Sept Oct Nov Dec Temp(F) 21.2 25.7 36.7 48.6 59.0 68.4 73.0 71.8 64.2 52.5 39.7 27.3 Use the 12 data points (with x = 1 corresponding to January) to find a periodic model of the data.
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[DOC File]Solution of the Diffusion Equation
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If we substitute f(x) = sin[(4) x/xmax] into equation [15] we find Cm as follows. [16] Because sin(m x/xmax) is an orthogonal function in the region 0 ≤ x ≤ xmax, the only time that this integral is non zero is when m = 4. We have just shown3 that the integral of sin2(m x/xmax) between x = 0 and x = xmax = xmax/2 so that equation [16] tells ...
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[DOC File]AP Calculus Free-Response Questions
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Let f(x) = k sin (kx), where k is a positive constant. a. Find the area of the region bounded by one arch of the graph of f and the x-axis. ... 30. A particle moves on the x-axis so that its acceleration at any time t > 0 is given by a =. When t = 1, v = , and s = . a. Find the velocity v in terms of t.
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[DOC File]TRIGONOMETRY
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sin (45 + 30) sin(120 – 45) 2) cos 345. 3) tan Simplify the following: 4) cos (270 - x) 5) sin ( x + ) = 6) cos ( ) Find each of the following numbers: If sin A = , 0 < A < and cos B = , 7) sin (A + B) 8) cos (A – B) 9) tan (A + B ) Algebra 3 Trig Formulas Assignment #6 (1) Find each of the following numbers please. ...
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The Student Room
22. f(x) = 12 cos x – 4 sin x. Given that f(x) = R cos(x + α), where R 0 and 0 α 90°, (a) find the value of R and the value of α. (4) (b) Hence solve the equation. 12 cos x – 4 sin x = 7. for 0 x 360°, giving your answers to one decimal place. (5) (c) (i) Write down the minimum value of 12 cos x – 4 sin x. (1)
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[DOCX File]Front Door - Valencia College
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0 2 0 x x 2 dydx+ 2 4 0 4 x x 2 dydx= 0 2 x 3 dx+ 2 4 4xdx=28 . If we use a type II integral, we need also two double integrals. 0 1 y 4 x 2 dxdy+ 1 2 y 4 y x 2 dxdy=28 .
calculate sin x 18 cos 41

[DOC File]AP Calculus Free-Response Questions
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c. Let y = f(x) be the particular solution to the given differential equation with the initial condition f(0) = 1. Use Euler’s method, starting at x = 0 with two steps of equal size, to approximate f(-0.4). Show the work that leads to your answer. d. Find in terms of x and y. Determine whether the approximation found in part (c) is less than or
sin x 18 cos 41

F x 4 sin x 30