1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the first octant.

Q: 32. Find the equation of a plane through the origin and per- pendicular to x – y+ z = 5 and 2x + y–…

A: Note- According to Bartleby guidelines, we are supposed to do only one question. If you want more to…

Q: A Curve a with aca) = (2,4,4), 2e2) = (0 ,2 54). %3D %3D Find Kea), B)

A: We will find out the required value for given curve.

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

A:

Q: Consider the simple linear model Y; = Bo + B1Xi + €¿, where e~N(0,0²); i = 1,2, .. 1. Show that a)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(a, b-i,…

Q: 2) Use Green's Theorem to compute f F df where F= (3x +4y)i + 2xyj and C is the triangular path from…

A:

Q: Construct a clamped cubic spline passing through the points 9, 13 and 22 with fx=x3+1

A: f(x)=x3+1y0=f(9)=730y1=f(13)=2198y2=f(22)=10649 Here h0=4h1=9 For given set of points (x, y) that is…

Q: .

A: Given: x2=y2, u=1x-y2x-y, Q=I-2uuTTo prove: a) x-y22=2x-yTx                b) Qx=y

Q: The vertices of the hyperbola y = 5+ ( x² + 9 )0.5 are Select one: O(0,-3) and (0,3) O(8,0) and (…

A:

Q: Find any two non collinear vectors on the plane x-y-3z +6=0

A:

Q: 69) 21) The tangent line of y = In(x² - 8x + 9) is horizontal at x = A) – 2 B) 2 C) 4 D) – 4

A: Given that: y=ln(x2-8x+9)

Q: Q3) Choose the correct answer for the followings: i. if z = (1+i tan®)/(1 – i tan0) then |z| = а. 1…

A: Solution of the problem as follows

Q: use Lagrarge mul tipliers Sublect to the Constcair t to mekim,ze x+2y=5

A: Consider the given information. fx,y=x+4xy+6y and x+2y=5 Now, make the auxiliary function.…

Q: 8) Use the Trapezoidal Rule to evaluate V1+ x² dx;n = 3.

A:

Q: 5) What is the maximum value of y = 5 Cos 4x ?

A:

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: 9. Find the average distance from the origin to a point between the spheres x² + y² + z² = 1 and x²…

A:

Q: 13. 2 [3] and u = [4] vectors, one in Span {u} and one orthogonal to u. Let y = . Write y as the sum…

A:

Q: e the Cauchy problem y' = y cosx, y(0) = 1.

A:

Q: Find J2z Әх у of z = x3 + 5x² у + 6

A:

Q: (s 8) Find The Hessian marrix at The point (1,2,3) of T Funchun: f (21₁ 9₁2)=21² y 2

A:

Q: Compute (ax + by² + cz) dS over the sphere x +y +z² = 1.

A:

Q: Distinguish briefly the Skewness and kurtosis

A: Skewness is a measure of symmetry where symmetry means equal proportion to the left and right to the…

Q: Compute u X v.

A: Cross product of two vectors a x b is defined as a vector c, which is perpendicular to both the…

Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: Compute ,f for f(2) +6 + 6i, positively oriented. sin(32) and path 2 that is the boundary of the…

A: Let's see the method of integration. We use residue method to solve this integral.

Q: 37.Calculate the value of r such that the line x + 2 y + z = 0 is a center-line of the conic section…

A:

Q: Find the two roots of (5 + /3)/2 in rectangular. a) 2.327 + j0.6446, –2.327 – j0.6446 b) -2.327 +…

A: Given complex number is 5+j3. Write this in polar form. Then, r=52+32=36=6 θ=tan-135 Hence the polar…