11. Show that dza;b; is equivalent to a b. ij

Q: (2v + 4u*v)du + (4uv + 3u')dv = 0

A: For the detailed solution of the problem follow the next steps.

Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

A:

Q: Let S2 = {a = (a1,a2,a3) E R3 | aja2 + 2a3 = 0} If y = (y1.y2.y3) E Sz and z = (z1,Z2,z3) E S2, is y...

A:

Q: Reproduce the given computer-generated direction field. Then sketch an approximate solution curve th...

A: Solution:-

Q: =) Let a E R[x] with ao #0. Prove that a has a multiplicative inverse in R[[x]. You may assume that ...

A:

Q: John received a $28,250 loan from a bank that was charging interest at 3.50% compounded semi-annuall...

A:

Q: List the possible rational roots. Find all roots, real and/or imaginary, of the function using synth...

A: Given function is hx=6x3+7x2−16x−12

Q: Evaluate e*cos(x)dx using integration by parts

A: Solution

Q: Let W be the set of all vectors of the form [ 5t – (3r + 5s) 3r + 2t 5s – r +t r – 3s with r, s and ...

A: Column space of the Matrix

Q: Suppose a 10-foot ladder is leaning against a building. The bottom of the ladder slides away from th...

A: Solution:-

Q: A tank contains 100 kg of salt and 2000 L of water. A solution of a concentration 0.025 kg of salt p...

A:

Q: Answer the following questions about the function whose derivative is given below. a. What are the c...

A: Given: f'(x)=3sinx-32cosx+1, 0≤x≤2π To find: a) Critical points of f. b) The intervals in which f is...

Q: 3x2 dx x3 + у+1 - 8(у + 1) %3D 0 dy

A:

Q: 1. Explain why (b x c) must be a linear comnbination of b and c. a X

A: We will use properties of cross product of two vectors 

Q: 2. Use projections or transposes to determine the least squares quadratic that best fits the points ...

A: Curve fitting quadratic equations

Q: (x+1)y"-(2-x)y'+y=0 ODE

A:

Q: Find the coordinates of the points where the gradient is zero on the curve y = x + . Establish wheth...

A:

Q: A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbo- hydrates. A quarte...

A: let she required to drink  x glasses of of skim milk , y quarter pound of lean red meat and z two sl...

Q: 2. If X is a finite set and fn → f on X, show that fn = f on X. 3. If fn 3 f on X and Y is a nonempt...

A:

Q: Find bases for the column space, the row space, and the null space of the matrix 1 5 -1 1 A = 2 12 1...

A:

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of...

Q: 5. S 11 sin ( 4x – 6y) cos ( 6x – 4y) dy - -

A:

Q: cos(x + y), when x = 0,y = dx 2 = dy : %3D

A: To solve the differential equation we can use a substitution u=x+y and then we can use variable sepa...

Q: A manufacturer estimates that she can sell a maximum of 65 thousand cell phones in a city. By advert...

A:

Q: where a¡ E R for all nonnegative integers i. Informally, an element of R[r] is like a polynomial exc...

A:

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by th...

A:

Q: A is 8% taller than B,while B is 9% taller than C.By how much percent is A taller than C?

A:

Q: 1. List the total points for each candidate. Show how you calculate each candidate's total points. A...

A:

Q: A company estimates that it can sell 3,000 units each month of its product if it prices each unit at...

A:

Q: Let S2 = {a = (a1,a2,a3) E R3 | a1a2 + 2a3 = 0} If y = (y1.y2.y3) E S2 and z = (z1,Z2,z3) E S2, is y...

A:

Q: Help Entering Answers ) Express the volume of the solid under the plane 5x – 2y+ z = 4 and above the...

A: Volume bounded by xy-plane  

Q: Use the Maclaurin series for sin(x) to compute 3 sin(3º) correct to five decimal places. 3 sin(3°) =...

A:

Q: This question concerns the vector field F= -ry'i – ryj+ z(1² + y°) k. (a) Calculate the divergence o...

A:

Q: You are an accountant for a manufacturer of radios. The demand function for the table is p= 40- 4x w...

A:

Q: Q11 Determine all the critical points for the following- S(x) = sin'x- cosx On the interval (0, 2n).

A: Given , f (x) = sin2x - cos x  (.) Definition :  Then critical point of a                           ...

Q: ce cut from the first octant by the cylinder z = 12 – 3y, and the plane x + y = 2

A:

Q: Determine the graph of the equation. x² +y? - z? = 16 Choose the correct graph of the equation. O A....

A: 3D. Graphing r

Q: Let х 0<x<2, f (x) = [4-x 2<x<4 a) Consider the odd periodic extension of period T=8, of f(x). Sketc...

A: Given function is fx=x0&lt;x≤24-x2&lt;x&lt;4 (a). Given that f is an odd periodic function of period...

Q: (x+1)y"-(2-x)y'+y=D0

A:

Q: Find the general solution of the given differential equation. x²y' + x(x + 2)y = ex y(x) = Give the ...

A:

Q: 2p a) n! = 2 (mod p), where for 0 <k < n. %3D k!(n - k)!

A: To prove the given part (a) 2pp≡2mod p where nk=n!k!n-k! for 0≤k≤n  

Q: At one of its factories, a manufacturer of college logo sweatshirts make

A: Given, at one of its factories, a manufacturer of college logo sweatshirts makes two styles: crewnec...

Q: (s-s²– t²)ds + (t + s? +t?)dt = 0

A:

Q: 2. A cylindrical tank with a diameter of 225 cm. contains alcohol with a density of 0.791 g/cm. The ...

A: Given: A cylindrical tankDiameter = 225 cmRadius = 2252=112.5 cmHeight = 0.9 m=9 cm          [Since ...

Q: BESSL'S FUNCTION CONSIDER (2. THE CASE V= x*y" +xy! +(x² -v²) y - 0- IN THE PORM = 0.

A:

Q: Problem Set B  Please assist with number 1 (A) (i) and (ii) (1)   (a) Solve the following:      ...

A:

Q: 1. Σ 4n2 in 8n +3

A:

Q: 5s - 2 F(s) = s²(s – 1)(s+ 2)

A: F(s)=5s-2s2(s-1)(s+2)

Q: Let V be an inner product space over R. Let u1, U2, Uz, U4 E V such that (u;, u;) < 0, i, j = 1, 2, ...

A:

Q: Determine the dimensions (radius and height) of the largest right circular cylinder. volume that can...

A: Solution:-