determine whether or not the equations represent y as a function of x
y=x3-X
X2-Y2=1
X3+Y3=4
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determine whether or not the equations represent y as a function of x y=x3-X X2-Y2=1 X3+Y3=4
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....
с раиси от к. Show that the function that takes ((X1, X2, X3), (y1, y2, y3)) E to xi yi + x3y3 is not an inner product on R. ((X1, X2, X3), (y1, y2, y3)) E R3 x R3 von SE
Logic Regression Assuming our input training data is: (Xi- 2, Y0). (X2-5, Y2-1). (X3-3. Y3-0), (X3-10. Y3-1). let us use the logistic regression to classify the data. o a) Please write down the overall loss function for the logistic regression o b) please write down the gradient for the corresponding loss function at (x = 0). Assuming our input training data is: (Xi- 2, Y0). (X2-5, Y2-1). (X3-3. Y3-0), (X3-10. Y3-1). let us use the logistic regression to classify the...
iii. If the vertices of a triangle, in counterclockwise order are (x1.yı), (X2,Y2) and (x3 ,Y3), Show that the area of the triangle is A= }((x, y, – x, y;)+(x,y; – x, y,)+(x; y; – x, y,)). [5%) iv. Use Part iii to find the area of the triangle with vertices (0,0); (2,0) and (0,2), then, check the result geometrically. [5%)
= = 3, Cov(X1, X2) = 2, Cov(X2, X3) = -2, 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(Yı, Y2). Assuming that (X1, X2, X3) are multivariate normal, with mean 0 and covariances as specified above, find the joint density function fxı,Y,(y1, y2). iii) Suppose Y3 = X1 + X2 + X3. Compute the covariance...
Given y1, y2, and y3 as a function of x. In the same graph plot the three functions for x ?[-3,3] . Follow the form given below. function y1 Line style: solid, color: blue function y2 Line style: dashed, color: black function y3 Line style: dotted, color: red Label the x and y axis; x axis as (x), and the y axis as (y1,y2,y3), title the graph as (problem5), add a legend on the plot. y1=x^4-e^(-x) y2=x^2-x^3+25 y3=30-12x,
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
Let Y1, Y2, and Y3 be independent, N(0, 1)-distributed random variables, and set X1 = Y1 − Y3, X2 = 2Y1 + Y2 − 2Y3, X3 = −2Y1 + 3Y3.Determine the conditional distribution of X2 given that X1 + X3 = x.
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 =...
By inspecting a graph of y = sin x, determine whether the function y = sin x is increasing or decreasing on the interval The function y=sin x is on the interval By inspecting a graph of y = sin x, determine whether the graph is concave up or concave down on the interval (1,21). The graph is on the interval (1,21). Minimize f(x,y)= x2 + xy + y2 subject to y = 20 without using the method of Lagrange...