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Apr 17, 2020 · By assigning a value for both x and y, any point on a two dimensional plane can be plotted. These values for x and y are called coordinates and given in pairs with the x value first. A point located three units to the right of the origin on the x-axis and two units above the origin on the y-axis is at the coordinates (3,2).

EXAMPLE 3 Find all trigonometric functions of an angle in the third quadrant for which . Solution: We first construct a point R(x,y) on the terminal side of the angle , in the third quadrant. If R(x,y) is such a point, then and we see that we may take x=-5 and R=6.

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Algebra -> Linear-equations-> SOLUTION: 14.Find the value of y for a given value of x, if y varies directly with x. If y = –252 when x = 84, what is y when x = 74

48 Find the value of a such that the area bounded by y = e-*, the x-axis, x = -a, and x = a is 7 a = Get more help from Chegg Solve it with our calculus problem solver and calculator

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a) Verify the given sums Σ x, Σ y, Σ x 2, Σ y 2, Σ xy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σ x = Σ y = Σ x 2 = Σ y 2 = Σ xy = r = (b) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places.

X(x) varies greatly with the value of a. 0 0.2 0.4 0.6 0.8 1 0 0.5 1 1.5 2 2.5 3 a=-6 a=-3 a=0 a=3 Problem 4.4.2 Solution (SK) Let Xbe a continuous random variable with PDT f X(x) = ˆ 1=8 1 x 9; 0 otherwise: (6) Let Y = h(X) = 1= p X. (a)Find E[X] and Var[X]. E[X] = Z 9 1 xf X(x)dx= Z 9 1 x 1 8 dx= 1 8 x2 2 9 = 1 16 (81 1) = 5; (7) E[X2] = Z 9 ...