4. Use result (*) and the solution of problem 2 above to find the CoM of the region S shown in the figure below. 2 Ay 0 3 S x

Q: -5 -4 -3 (22 27 24 21 18 15 12 The net signed area in the above graph can be written as d where c =…

A: From the given graph we have to find the integral expression for the given shaded region.

Q: 2. Solve V0 - 20 = 3 for square region (1 x 1) take h = Ax = Ay = 0.25 here 0 = 0 all edges.

A: We will use the finite difference method. The Laplace equation ∇2ϕ=0 can be written using finite…

Q: 20 10- Maple plot -3-2-1 0 1 2.3 4 5 6 The area bounded by y = z+5 and the zaxis from a -2 to 5is

A: Given that y=x2+5  and x-axis from x=-2 to x=5 find the area

Q: 5. Determine the combination V x (Vf) given that X" + y"

A:

Q: If z =t cost, y =tsint, z=t, then x² + y² = t² cos²t+t² sin² t = t² = z², so the curve lies on the…

A: Given x=tcost, y=tsint and z=t and z2=x2+y2 Substitute x=tcost, y=tsint and z=t in z2=x2+y2…

Q: If V = Ai - j +sk and Vz= 41+2j +4k, Find Value of (A) so that the length of Projection of V ont Vz…

A: Use the formula for length of projection of a vector onto another vector

Q: * Minimize C=5x-6y Subject To 60–8xy. a. Find x*, y*, 2*, C* b. Use bordered hessian to verify.

A: This is a problem of optimization.

Q: following problem: Find the maximum number of circles determined by n coplanar points using…

A: We know that there is a unique circle that passes through three given noncollinear points.So the…

Q: 8. Let D be the rectangle given by -1<ys0, 1s x< 3. calculate ff,(x2 + y)dydx

A: 8. We will evaluate the given double integral. Given integral is ∬D(x2+y)dy dx with the limits…

Q: 1. Based on the graph in fig. 1, which of the following points is on the region of solutions?  a.…

A: Topic= Inequalities

Q: 5. a. b. C. [1 2 ^= -√²-14 31²-432 B = = L2 0 Given A = 0 Find AB + (C-2A¹) T. Find the values of x,…

A: To solve the matrix. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: Consider two points S and S ′ randomly placed inside a D-dimensional hyper-rectangular room with…

A: Two points S and S ′ are randomly placed inside a D-dimensional hyper-rectangular room with walls…

Q: Construct the truch table for (pq) (rs)

A:

Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

Q: A E K В T side F L M G R bottom top side side 8

A: The sketch will be as follows :

Q: If gcd( m,91) = gcd(n, 91) = 1 %3D %3D

A: Given, if gcd(m, 91)=gcd(n, 91)=1,  To prove that                     91|m37-n37

Q: Problem 9. Find the area of the allelogram with vertices (0,0), (6, 1), (8,6), and (2,5). (a) 16 (b)…

A:

Q: The circle æ² + (y– 1)² = 4 has center (0, 1) and radius 2, so by Example 4 it can be represented by…

A: The parametric equation of the circle having center at a,b and radius r is: x=a+r costy=b+r sint…

Q: Find the vertices and the area of the triangle formed by the graphs of y=|x-3| and -x+2y=5?

A:

Q: 6. On the grid below AMNP is plotted with vertices at M(-10,– 2). N(-6,-9) and P(1, -5). The line…

A:

Q: y P(14r-8) (12y)

A:

Q: Problem 1. (a) (b) Suppose that ACR". Prove that every point E R" is exactly one of the following:…

A: 1)(a) Suppose that         Let be arbitrary.        Then, one of the three  posibilites must…

Q: Question 12 Which of the following points does not lie on the line 3x+2Y3D6? O(4,9) (2,0) O(-6.9) O…

A: The solution are next step

Q: Hw.3 Find the aveas for the Following regions: - Region bounded by 2- Region bounded by and ッニメ+2…

A:

Q: 2m-1 Σ m=1 (2) (m!) (m+x+1) How did he get the value inside the circle, can you explain step by step…

A: Jv(x) = ∑m=0∞ -1m . x2m+v22m+v .m! (m+v)!