5. Show that there is no vector field G such that: V x G = 2xi + 3yzj – xz?k.

Q: Use a triple integral over spherical coordinates to evaluate (2² + y²) dV, where E is the sphere a² ...

A: Volume of triple integral, using cylindrical coordinates

Q: Find the area bounded by the parabolas (x – 1)² = 4ay and y? + 4a = 4ax.

A:

Q: Is the relation R on X is reflexive, symmetric, weakly antisymmetric, antisymmetric, transitive? Jus...

A:

Q: Let A be a non-empty set of positive nunıbers, which is bounded above and let B = {x e R: 1/x e A}. ...

A:

Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

Q: 3. Which of the following is the Laplace transform of sin (2t) - 2tcos (2t) ? A. s^2 / (s^2 + 4) ^2 ...

A:

Q: Then Lim (x fCX)-5) ?

A: Given limx→24fx=12 We will find the value of  limx→2xfx-5

Q: Given the following matrix 3 - 13 1 1. Find the eigenvalues for the matrix. 2. Use the eigenvalues t...

A: Here given

Q: ind the area bounded by the parabolas (x – 1)2 = 4ay and y² + 4a = 4ax. -

A:

Q: How do you find the inverse of Q=250-0.5p? I know the answer is P=500-2Q, but how did we get that? ...

A:

Q: dz dz (a) Write down the formula for and when z f (x, y), x = x(s, t) and = y(s, t). ds dz (b) Use c...

A: The detailed solution is given in the attached Handwritten notes.

Q: If we convert the point (r, 0, z) = (2,, -8)kfrom cylindrical coordinates to cartesian coordinates, ...

A: Solution

Q: egrating factor equation.

A:

Q: Jestion 12 ind the volume of the solid generated by revolving the area bounded by x-y2 + 4y - 4 = 0 ...

A:

Q: dx = 2x + y dt K1 = K2 = dy -x dt ( = c1 + C2 et O A O B x = c ()e* + cz (",) e* X = C1 O D ||

A:

Q: What formula would be used to calculate the right rectangle approximation of Si – 2x +3)dx using fiv...

A:

Q: Consider the function h : Z xZ → Z× Z defined by h(x, у) 3D (2ху, 7x — Зу). (a) Is h injective? (b) ...

A:

Q: 3. x + 3x + 2x = 0 %3D a. Good guesses: b. # of positive roots: c. # of negative roots: d. # of imag...

A:

Q: Evaluate p dA, where Dis the shaded part inside the semicircle of radius 2 in the figure. y = 4 (Use...

A: Given : ∫∫D5yx  dA , Radius =2 .

Q: Mr. Conway has two part-time jobs. He makes $305 a week a other. February has exactly 4 weeks. So, M...

A: Given, Mr. Conway earns from two part-time jobs as he makes $305 a week at one and $296 a week at th...

Q: ind the moment with respect to x = 2a the area bounded by x = 2y and x2 4ay.

A:

Q: Find the solutions that can be read from the simplex tableau. X1 X2 X3 S1 S2 9 8 1 6 1 1 2 9. 7 9. 2...

A:  In each simplex table we get a feasible solution and if the value of reduced cost is non nagative (...

Q: (-8, 5,0

A:

Q: Determine whether the Series is onvergent on exact test that you Use. divergent.Write the Tニu tuとtッh

A:

Q: 1. (10 points) Use the method of variation of parameters to solve y" + 4y' + 4y = e-2t In t

A:

Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

A:

Q: Consider three different classes at a small college; a mathematics class with 32 students, an accoun...

A:

Q: A video rental store has two video cameras available for customers to rent. Historically, demand for...

A:

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y² = 4 +x2...

A: We will find the surface area generated by a given curve in the first quadrant

Q: What is the resulting matrix? ( 2 0 -5 ) * ( 21 -8 -31 )T

A:

Q: a The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the gr...

A:

Q: 1. Solve the given IVP: у(@ + 8у" + 16у %3D 0; у(0) 3 — 1, У (0) %3 5, у"(0) — —8, у" (0) — — 28.

A:

Q: Question 4 Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -...

A:

Q: Problems: 1 -1 2 1 -1 1 Let, A = 1 3 -1 -2 1 4 -1 3 3 -1 -5 1 -6 | a. Find a 5x5 matrix B such that ...

A: Given matrix, A=10-121-113-10-214-133-1-51-6

Q: Out of a group of 60 people, 20 invested in stock market, 35 had certificates of deposit, and 34 had...

A:

Q: by3 | (3b? – x²)(1 – x³V3)/3b² – x² dx - -

A:

Q: 2. f(x) =x³ – 4x 3.

A: The given problem is regarding the extremum value of the function. For the second derivative test, w...

Q: The number of bacteria in a culture is growing at a rate of 2500e2t/5 per unit time t. Find the numb...

A:

Q: Find the volume generated by revolving the area bounded by x2 – 4x – 4y + 4 = 0 and y = 1 about the ...

A:

Q: Calculate the volume of the solid that is inside the cylinder x2 − 2ax + y2 = 0 and below the plane ...

A:

Q: Carsider th fundtion. (a) Find the Imvarse funcdon or. (b) Graph rand r on the same set of coordinat...

A:

Q: Use a triple integral over spherical coordinates to find the volume of the solid that is bounded abo...

A: To find the volume of the solid bounded above by the cone ϕ=π6, below by the xy plane and on the sid...

Q: Common Equivalences Use the table of common logical equivalences below to verify the given logical e...

A:

Q: 1. A softball is hit by a batter when it is 3 feet off the ground. Its height off the ground is give...

A: Given that ht=-16t2+80t+3 where h is in feet and t is in seconds. We have to draw the graph h(t).

Q: Use the method of Undetermined Coefficients to solve the following DE: y" + 8y' + 16y = (t + 6)e¬4'....

A:

Q: bx a a dy dx

A:

Q: Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary rect...

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.than...

Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

A:

Q: a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find p...

A: Given, u=1,-2,6,v=2,-5,-2 and w=a,2,-1 We have to find projvu and  projwu.  

Q: (1 point) Express the integral II f(z, y, 2) dV as an iterated integral in the three different ways ...

A: