Pisrgnmest MtapeTani rnaten I Gaph &onnect Al-5,-i), 1L-3, -2), 113,2) Retket Yaris y) X3, Y+2) Rotate 45 clock...
only number 5-7. Just set up no solve. show all work 1) Rotate the area bound by f(x): 2x + 1, y : O, x-1, and x : 4 around the x- 2) Rotate the area bound by y : x2 , y :0, and x-2 around the y-axis. #3-7: Draw a graph and setup the integral, including boundaries for determin the solid created. You do NOT need to evaluate the integrals. 3) Rotate the area bound byy and ya...
23. Compute if x1=2, x2=5 and x3=0. 24. Compute ∑ i = 1 3 x i f i if x1=1, x2=3, x3=4 and f1=f2=2, f3=5. 25. Compute if x1=1, x2=3, x3=4 and f1=f2=2, f3=5.
I need the solution of this question asap 3, Cov(X1, X2) = 2, Cov(X2, X3) = -2, 5. Let Var(x1) = Var(X3) = 2, Var(X2) Cov(X1, X3) = -1. i) Suppose Y1 = X1 - X2. Find Var(Y1). ii) Suppose Y2 = X1 – 2X2 – X3. Find Var(Y2) and Cov(Y1, Y2). Assuming that (X1, X2, X3) are multivariate normal, with mean 0 and covariances as specified above, find the joint density function fyy, y,(91, y2). iii) Suppose Y3 =...
Let Ti, T R2R be the following transformations ·T, is rotation by 45 degrees clockwise around 0. . T2(x) is obtained by stretching the axis by a factor of 3, and leaving the y axis unchan Describe how to perform the following transformations using T and T2 (e.g. in terms of T oT2, or inverses, or other such things) (a) Rotate by 45 degrees clockwise, then stretch the r-axis by a factor of 3 (and leave y unchanged) (b) Stretch...
5. [22] If Xi, X2, and X3 are independent random variables with E(XI) 4, E(X2)-3, E(X3)2, V(X) = 1, V(X:) = 5, V(Xs) = 2, and Y = 2X1 + X2-3X1 (a) Determine E(Y) and V(Y). P(Y > 2.0) and P( 1.3 Y 8.3).
At the indicated point for the function, find the following. (Round your answers to the nearest whole number.) y = (x3 + 2x)3 at x = 2 (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value.
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
11. (5 points) Answer the following questions on regression. X versus Y 45 3 15 . 0 0 1.5 4.5 (1) (1 points) For the given data (shown above), draw two possible linear regression lines. (2) (1 point) Between the two regression lines you draw, which one is better? Why? (3) (1 point) Which of the following offsets do we use in linear regression's least square line fit? Circle the one (either vertical offsets or perpendicular offsets). 2.--- m. vertical...
Find the derivative of the function. y = (x3 + 2)2(x5 + 434 Find an equation of the tangent line to the given curve at the specified point. x2 - 1 x² + x + - 1 (1,0) Suppose the weekly cost of producing a barrels of oil is modeled by the cubic function Ca)= -124 + 20 Determine the interval of production in which this function makes sense as a model. That is, determine the interval of production in...
Consider p(z) = 2 i 22 + x3 – 4 iz-4-2 +2 i +5 z– 2. Given that z= 2 – 2 i is a zero of this polynomial, find all of its zeros. Enter them in the form 2+3*1, 4+5*1, 6-7*|