Suppose the JPDF of X, Y is f(x,y)={1K(x2+y2)0
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Suppose the JPDF of X, Y is
f(x,y)={1K(x2+y2)0<x<2,0<y<20otherwisef(x,y)={1K(x2+y2)0<x<2,0<y<20otherwise
Find K so that fXY(x,y)fXY(x,y) is a valid JPDF
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- Expand (y-3x)*. A y + 12yx + 54y*x² +108y²x³ +81x* B. y +4y°x + 6y*x² + 4y²x³ + x* y - 12y x + 54y*x² – 108 y²x³ + 81 x* y* – 12y³x + 54 y²x² – 108 yx³ +81 x* - y + 4y'x +6y°x² + 4y%x³ + y*x* Not possible to expand. OAA OB.B C.C CEE OF F E.h = (-6x³ + 9x4 + 5x7) (7+ 5x – 4x2). Then h = fgwhere f = and g = Using the product rule h'(x) + %3D IIPlease help me find inf(T_4)
- Our aim is to write the gcd(200,113) as a linear combination of 200 and 113. By writing gcd(200,113) =200s+113t, we get * O gcd(200,113)=1 and t=-23 O gcd(200,113)=1 and t=13 gcd(200,113)=1 and t=23 O gcd(200,113)=1 and t=-13 None of theseDetermine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} . -9} in Maxa(R) 4 (b) {(- ).(- 9G -)} in M2x2(R) 4 (c) {x 3 + 2x2, -x2 + 3x + 1, x3 – x2 + 2x – 1} in P3(R) (d) {x 3 – x, 2x2 + 4, -2x3 + 3x2 + 2x + 6} in P3(R) (e) {(1, -1, 2), (1, -2, 1), (1, 1, 4)} in R3 (f) {(1, –1, 2), (2, 0, 1), (–1, 2, –1)} in R3 {(÷ ) ( -) (; 0. 2 ).(- )} in Max2(R) (g) (m) {(-; ') (? ). -2)} in M2x2(R) () (x 4 - х3 + 5x2 - 8х + 6, -х4 + х3 - 5х2 + 5х - 3, x 4 + 3x2 – 3x + 5, 2x4 + 3x3 + 4x2 – x + 1, x3 – x + 2} in P4(R) ) (x4 - х3 + 5x2 - 8х + 6, -х4 + x3 - 5x2 + 5х - 3, х4 + 3x2 - 3х + 5, 2х4 + х3 + 4x2 + 8х} in P4(R)Find the area of a parallelogram bounded by the y-axis, the line x = 2, the line f(x) = 8 + 2x, and the line parallel to f(x) passing through (4, 11)
- Q1) Use a suitable Linearization to find the best fit of the formf (x) = Cx3 +2 for the %3D data: (1,-1), (2, 7), (3, 26.3).(3) Construct a linear spline interpolating (-1, 0), (0, 1), (1, 3).Let A={1,2,3,4}, B={00,01,10,11), C3D{x,y,z). f1 = {(1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x), (2,x), (3,x), (4,y)} f3 = {(1,10), (2,00), (3,01), (4,11)} f4 = {(1,y), (2,x), (3,y), (4,2)} The following sets f, f2 f3 f4 are tuple sets which map values from A to B or A to C. For each function, select one of the options using the dropdown menu. f2 is: Seç. f1 is: Seç. not a function but onto f4 is: one-to-one, not onto not even a function f3 is: one-to-one, onto not one-to-one, onto not a function but one-to-one not one-to-one, not onto
