A Covariant tensor of first order has components xy, 2y - z², xz in rectangular coordinates. Determine its Covariant components in spherical polar coordinates.

Q: Q4/(A) Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the direction. дz дz (B)If…

A: In question (A) no direction is given so I am only finding the partial derivatives.

Q: The graph G is a planar connected graph. It has 22 edges, and 15 vertices. How many faces does G…

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Q: State and prove archimedean property and it's corollaries

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Q: What is your estimate of the slope? slope (Round to the nearest integer.)

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Q: The equations for the plane through p0(0,2,-1) normal to n =3i - 2j - k O 3x-3y-3z=0 O 3x-3y=z O…

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Q: Exercise 2 Using the Laplace transform and showing the details, sovle the IVP y" + 3y + 2y = { 1¹ 0…

A: Here we use the properties of Laplace transform from table of Laplace transform to answer the…

Q: Q10. Using Crammer's rule method to solve the following linear system x+y+z=3 2x + 3y + 7z = 0

A: The given system of equation is as follows x+y+z=32x+3y+7z=0x+3y-2z=17 Find Determinant D as follows…

Q: CONSIDER THE FOLLOWING THREE TYPES OF VECTOR SPACES: (a) M2x2 (b) R³ (c) P3

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Q: 1. determine whether the following argument is valid or invalid: (A → B) → (C → D) B → D A → C ∴…

A: We will use a truth table to determine the validity of the arguments. The argument is valid if…

Q: 1- Solve dx = cos x + y, where y = 2.0 at x 0 take step size h = 4x = 0.1 and solve for 0 ≤ x ≤ 0.2…

A: The solution is given by using the fourth order Runge kutta method as follows in details.

Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

A: We have to find  the directions in which the function increases and decreases most rapidly at…

Q: SHOW YOUR DETAILED SOLUTION Find an LU decomposition of: 2x+5y=16 3x+y=11

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Q: (5) In commutative ring with identity each proper ideal is contained in prime ideal. От F

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Q: Find the absolute maximum and minimum values of D(x,y)=x²-xy + y² + 1 On the closed triangular plate…

A: Here I am using basic calculus we and also use short method.

Q: The set H={0,1,2}is a subring of (Z4, +4,.4) integer ring module 4.

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Q: 2. Determine the inverse Laplace transforms of the followings: 5 (a) L- 1 $²+2s-3 4s - 3 (b) L-1 s²…

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Q: ng with identity and I be deal of R. Then I is primary if nd only if every invertible in /l is a…

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Q: Construct a finite state automaton that recognizes all strings that end with 11.

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Q: A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit…

A: LPP of given problem is given by Maximize  Z = 90x1 + 110x2 Subject to constraints 2x1 + 4x2 ≤…

Q: Consider the complement of the event before computing its probability. If two 6-sided dice are…

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Q: If Z is integers ring, then each non zero element in a proper ideal of Z is......... O (i)…

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Q: 3. Express the equation y = mx + b, where m and b are constants, in plane polar coordinate.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1 Solve by using power series: 2 y'-y = cosh(x). Find the recurrence relation and compute the first…

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Q: 12. Solve the given initial-value problem X' = (₁ − ₁ ) x + ( ₁ + 1₁), X0 = (₁) X ,X(0)

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Q: (0) Let R be a commutative ring with identity and I be ideal of R. Then I is primary if and only if…

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Q: Q2: a group of 6 boys and 4 girls, in how many way four children can be selected such that at least…

A: Given is a group of 6 boys and 4 girls.   To Find: Number of ways four children can be selected such…

Q: Q1/ Find maximum,minimum ,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

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Q: Find the solution of the following non-linear system: (Decimal Numbers must be rounded off 8 decimal…

A: Given function is f(x)=x3-7x2+14x-6 The interval is 0,1 Iteration1:…

Q: Find an LU decomposition of: 2x+3y-z=5 3x+2y+z=10 x-5y+3z=0

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Q: (3) If M is integers ring module n, then M is a field if n=...... O (i) 9 O (ii) 5 O (iii) 12

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Q: Q1\ Answer only two of the following questions: A\ Evaluate f sinx esecx cos²x dx. [15] [8 4 3 1 B\…

A: We have to solve the given problems.

Q: 2. Write and verify (i.e compute both sides of the equality) Green's Theorem for the field [P(x, y),…

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Q: ¹).. Suppose that fn are integrable and ffn du <∞. Show that, if fn 1 f, then f is integrable and f…

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Q: Q2/ Reversing the order of integration fxsinydydx.

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Q: wave equation

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Q: Theorem 3. The covariant derivative of the product (outer or inner) of two tensors is equal to the…

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Q: 582 28s - 26 (s+2) (S-2) (5-2)

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Q: Consider the linear operator defined by Show that T is compact. E1 E2 E3 T:l² l², x = (1, 2, 3, ...)…

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Q: Exercise 2 Using the Laplace transform and showing the details, sovle the IVP y" + 3y + 2y: { 1 if…

A: We have to apply the Laplace transform.

Q: Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the…

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Q: [4 1 01 5. Find the eigenvalues and eigenvectors the system X'= 0 4 [X]. Lo 0 o 11 Use the…

A: Given system is X'=410040001X   To Find: Eigenvalues and Eigenvectors and use them to solve the…

Q: The modulus of 5 + 4i is * O-41 O-√41 O√41 041 The conjugate of (i-i²)³ is O-2-21 2+2i -2+2i Oi-1

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Q: B)ls w = 2²1² analytical function or not?

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Q: 2 Express (5+1)² in polar form O 3 [cos 67+isin 67]

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Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ........ O…

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Q: (c) Continuing from part (b), suppose we can find functions and z so that (uoz)(x, y) is an μ…

A: Note: : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

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Q: 44)If D is a ring of integers module 13. Then rad (D) {0}. От F O O

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Q: Use triple integral to find the volume of the solid G that is cut from the cylinder 4x² + y² = 9 by…

A: Given that the solid G is cut from the cylinder 4x2+y2=9 by the planes z = 0 and z = x+3.

Q: the base of the triangle.

A: Given as, To find the largest rectangle dimensions.