We will try to convert the equation in the form of
x/a + y/b = 1
So, that graph will be easy.
Also, to select feasible region in graph ,put origin co ordinates to check, which side of line is feasible
thank you
Let X N(1,3) and Y~ N(2,4), where X and Y are independent 1. P(X <4)-? P(Y < 1) =? 4、 5, P(Y < 6) =? 7, P(X + Y < 4) =?
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
1. Let F(x,y,z) =< 32, 5x, – 2y >. Use Stokes's Theorem to evaluate the integral Scurl F.ds, where S is the part of the paraboloid z = x² + y2 that lies below the plane z = 4 with upward- pointing normal vector.
1. Evaluate S SR(5 – y)dA with R= {(x, y)|0 SX 55,0 Sy < 4} by identifying it as the volume of a solid and then calculating the volume geometrically.
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
Evaluate the function for the given values of x. (-5x+4, for x<-1 x) = ), 2 + 3 1, for -1 5x</ 2 for x (a) f(-1): (b) f(3)
Question 4 < > Solve the initial value problem below. x+y'' - xy' + y = 0, y(1) = – 5, y'(1) = 0 y
4. Determine the length of the curve r = تا انت (y - 1)], where 45 y < 9.
Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks)
Suppose that f(x, y) = 1 on the domain D = {(x, y) – 5 < x < 3, -5 <y <3}. D a Then the double integral of f(x, y) over D is 1 dædy