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Q: Let V be a vector space with dim (V)=4. Which of the following is true? O A. For v1, v2, V3 E V,…

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Q: Determine whether or not the graph represents y as a function of x o function O not a function

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Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p…

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A: Introduction: The formula of the area between the two curves f(x) and g(x) is given by,…

Q: Euler method,

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: the following functions Analytic or not? f(z) = %3D Z-z3 i f(z) %D 26 f(z) = -2* (cosh 2y – i sinh…

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Q: 5 Let the torces vector field F: TR?-TR',with a,6 € TR, where F(a,y, 2) = (ax+ x4, x%by+22 y) Find…

A: F is conservative force and so there is a scalar potential.

Q: Group 1 Consider p> 2 a prime number, justify that: (P,)= (-1)" (mod p) to any 0 snsp- 1,n € N. 1.1…

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Q: 5 Let the torces vector field F: TR-TR" with a,6 € TR, where F(x,y, z) = (ax+xy, xb4+ 2Z (a) Proove…

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Q: 36.) Solve the following System of equations BOTH graphically and algebraically. x² + y? = 5 y 2x

A: 36. These are circle and straight line passing through origin.  By graphically it shows that they…

Q: Consider the differential equation r'y"+ 3ry-3y 2r – 3r?. Question 3 (a) Verify that yı = and y2 = r…

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Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

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Q: Question 4 Let A, B be the subsets of some universal set &, (a) Draw a Venn diagram for the set BN…

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Q: Let M = {a E R: a <-1}. Then M is a vector space under standard addition and scalar multiplication…

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Q: Find the domain and range. {(-4,4), (10, 2), (-8,-6), (–8, –9)} o domain = {-4,-8, 10, 8} range =…

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Q: Organize the steps for constructing an angle bisector in the correct order. Place the compass point…

A: Write the construction of angle bisector in order as follows:

Q: Is it possible to get a example which shows this applied to a model

A: To determine: An example which shows the application of Taylor series in a model.

Q: FiM the remainchg ports op the spherical triangles ) ca90 のこ3703'44 ,6-61° 14'25

A: Given: C=90°a=37°3'46''b=64°16'25'' To find: Remaining parts of the spherical triangle

Q: (b) Integrate: () S(4x3 — Зх? + 2х — 1)dx 3 (ii) - S-o S,(2.xy + z)dx dy dz z=-1 Jy=0 Jx=1 dy du =…

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Q: - Tony wants to buy a sCooter that costs $1500. He deposits $1000 in a bank that pays 7.5% interest…

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Q: Let z, and z, be roots of the equation z² + pz + q = 0, where the coefficients p and q may be…

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Q: ion of the linear differential equatio ents, variation of parameters and red

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Q: 2d 2e 21 Let a, b, c, d, e. f be real numbers, A = e fl, and B = d-3 If determinant of A is equal to…

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Q: Consider the differential equation (10x³y* + e=Y +3 sin(4x + 3y))y' + (6x²y5 + 4 sin(4x + 3y) + 2) =…

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Q: 1 -3 Write z = as a linear combination of x = -1 and y = 2 where – 10 4 х, у, z ER3. Select one: O…

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Q: B. How many different ways can the letters of each word be arranged? 5. MISSISSIPPI 4. PHILIPPINES…

A: This question related to permutation and combination topic.

Q: The determinant of P is a non – zero scalar polynomial.

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Q: Determine whether the following argument is valid or invalid. If it is valid, write a formal proof.…

A: Which is the conclusion.

Q: Work Problem 2 -): Consider the vectors from R3 v, =| 2 V2 5 a) Create the augmented matrix which…

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Q: $8,000 is invested in an account earning 8.7% interest (APR), compounded continuously. Write a…

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Q: Which of the following ordered pair is a solution to the given inequality? -4 -3 -2 -1 12 -1 2x - 5y…

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Q: 1. Evaluate the following integrals. | (csc 0)(1 + sin² 0 + sin 0 cot? 0) do а.

A: Properties of integration  ∫sinx dx=-cosx+C∫cosecxdx=-ln|cosecx+cotx|∫cosec2xdx=-cotx+C Properties…

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Q: 3. The function Y-X has undergone the following sets of transformations. If Y-X passes through the…

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Q: 3. The square is dilated under the dilation (x, y) → (0.25x, 0.25y). 4 2 -2 2 -2 a. Graph the image.…

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Q: Problem (i) Let A be a square nonsingular matrix of order na with LU factorization A = PLAUA and B…

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Q: ii. x² Inx dx L, x³ (e* – e¯*) dx

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: . Arcsin(x/y) = 4x + 3y

A: Solution :-

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x2, a = 10 O A. P3(x) = 100 + 20(x…

A: Find the Taylor polynomial of order 3 generated by f at a.  f(x) = x², a = 10

Q: solve the determinants of the vandermonde matrix using Newton Interpolant (incremental…

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Q: Show, using truth tables, that (a) ¬(p V q) A r = -p^ (¬q ^ r), (b) -4 v (q V p) is a tautology.

A: (a) To show ¬p∨q∧r≡¬p∧¬q∧r using Truth tables. (b) To show ¬q∨q∨p is a tautology using Truth tables.

Q: Suppose a researcher is surveying four subjects: subject A, subject B, subject C, and subject D.…

A: B. Subject B.

Q: 1. Which of the following matrices is in reduced row echelon form? A. ⎛⎝⎜100010000⎞⎠⎟…

A: Option A is correct.

Q: b What is the general solution of the differential equation? Reason out why it is the general…

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Q: Solve the following IBVP: Uu = Urz + 2, 00, u(0, t) = 0, u(x, 0) = 0, u(x, 0) = 1, 0 0,

A: First we make the non homogeneous equation and boundary conditions to homogeneous equation and…

Q: +y = e* + cosh 2x+x +y%3D

A: Solution:-As per guidelines I submit first question only

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Q: 1) Mathematical modelling of climate may employ basic understanding of simultaneous equations'. In…

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Q: Let A = {(4,1,0); (1,0,-2); (0,1,-5)}. Then A is a basis for

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