PART CHALLENGE Convert the equations below from polar to rectangular. rcos(0) sin(e) 2 1. r 3 2. r = 3. (rcos(0)) %3D csc(e)

Q: (a) Find the inverse of the matrix 3 -6 -4 A = -9 -4 1 -2 -1 A-1 (b) Use the answer from part (a) to…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: H.W Solve the Following linear systems using Causs Flimination 2y +4Z=6 2) 4X +y-37 =1 3X-84 +2Z = 2…

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Q: in boards a Ferris wheel at the 3-0'clock and rides the Ferris wheel for one full rotation (as shown…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), 24t; 0<t< T Z = L =

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Q: H.W Solve the Following linear systems using Causs Flimination 2y +4Z=6 2) 4X +y-37 =1 3X-84 +2Z = 2…

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Q: (x – 2)? – In x = 0, [1,2]

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Q: I symmetric values of the gen vector i:

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Q: Question 8: Find the volume of the solid bounded above by the surface z = f(x, y) = 2x+y and below…

A: Volume bounded by xy-plane

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Q: 2. Consider the equation: dy = y² + 2yt +t² - 2y – 2t – 1 dt a. Find a change of variable that…

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Q: Perform the Gram-Schmidt process on the following sequence of vectors. i = |8, -2 8 -5

A: Given sequence of vectors arex→=488, y→=-4-2-5, z→=1-15The Gram-Schmidt process on the following…

Q: 8, Suppose a,b € Z. Prove that a = (mod 5). b (mod 10) if and only if a = b (mod 2) and a = b

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Q: S (3" - 3/a+") Q14. For each of the following convergent series, find its exact sum. Show all your…

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Q: 8. Find m2C. 7. Solve for x: B (9x- 2)° (3x- 2)° (14x-19)° (19x- 3)°. A (9x +7)°

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Q: 9- If a person with O'Micron virus coughs, It will spread the virus in a spherical form, determine…

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Q: John sells decorated eggs on Easter. Each egg costs him $2, and John can sell the decorated eggs for…

A: Given: The cost price of the egg=$2 Selling price=$5 Salvage price=0 Mean=80 standard deviation=12.

Q: Let a (> 1) be an irrational number. Show that the kth convergent of the simple continued fraction…

A: Given that, α&gt;1 be the rational number let α=a0;a1,a2, ⋯⋯⋯⋯⋯ then 1α=1a0;a1,a2, ⋯⋯⋯⋯⋯…

Q: provide a correct solution for the following

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: 5. Prove that the property of a space having an isolated point is a topological property. 6. For any…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(2t), y(0) = 9,…

A: Solve INTIAL VALUE problem, using Laplace transferoms

Q: Ba, "Vx(Fxa →3yBy) v VxFbx /:: Ba & Fba Prove this statement

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Q: 5. ints) Let v1,..., Un be vectors in a vector space V. Suppose w is another vector in V. Determine…

A: To prove: :  Span(v1,.....vn)=Span(v1,v2,....,vn,w), if and only if  {v1,v2,......vn,w} is linearly…

Q: There are 34 juniors and 45 seniors in the auditorium. After x juniors and x+5 seniors left the…

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Q: 2.44 Show that if a vector is in the span of a set then adding that vector to the set won't make the…

A: The given statement is " if a vector is in the spanning set then adding that vector to the set would…

Q: 17. Let T: P,¬R³ be the evaluation transformation at the sequence of points -1,0, 1. Find a. T(x2)…

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Q: Given the vertex set, edge set, and endpoint table below, graph and label the following gr V(G) =…

A: the vertex set is  given and the edges are given

Q: Let f(x) = 1-1 if 0 < x < 1 if 1<a < 3 %3D for 0<x < 3. At x = 4, the Fourier cosine series for f…

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Q: 5. nts) Let v1,..., Un be vectors in a vector space V. Suppose w is another vector in V. Determine…

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Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(x)

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Q: Consider the region bounded by x = 3y and x = y^2. A solid is formed by rotating the region about…

A: here we can use direct formula to get this integration but we solve it with proper explanation,

Q: L.Evaluate the following integrals using polar coordinates. 2 V4-2? xY dydx Var² + y² а. 0 0 1 1- b.…

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Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) z = 2x + y x + y…

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Q: ) Find the following expressions if a = 3i – 5k, b =i+j- 5k, and c = 4i + 9j + 3k. %3D 1. а . b %3…

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Q: 1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in…

A: (a) Let for any two string x and y in P,              f(x) = f(y)             =&gt; *x* = *y*…

Q: Verify Green's Theorem by evaluating both integrals aN y2 dx + x2 dy dA ду - əx for the given path.…

A: For c-1 sign is negative because of opposite direction

Q: 7. Isosceles triangle (a) Determine the area of AABC. Note that you will need to use right triangle…

A: The plane figure bounded by the union of three lines, which join three non-collinear points, is…

Q: Let B be a bxb matrx and Ca ): A-1)(X-メーい(メ) If the rame of I-B is at most 2, the 4) the rows of…

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Q: 12. Consider the very accurate map below. We want to color these six countries so that no two…

A: Solution: a) Using 3 colours it is not possible. First thing we shall observe that a single color…

Q: Write the statement in symbolic form if: p: The temperature is 90ºF. q: The air conditioner is…

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Q: A survey of students to determine if they had a pierced ear was given. The results are summarized in…

A: Concept: Probablity=Total favourable outcomestotal outcomes

Q: Each of the vector fields in exercises 95-98 is conservative. Evaluate each integral by first…

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Q: #19.A isa coilechan of FNe vectors n vectors in Stakement is always tre? A) spanA = R" B) span'A ±…

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Q: 3- For any R-module ,let M [x]denote the set of all polynomials in x with coefficient in M, that is…

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Q: Use variation of parameters to find a particular solution of the DE y/" – 4y + 4y then write down…

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Q: Let X be f(x) = x^(2/3) , X is a subset of R x R satisfying the given equation. Define a bijective…

A: Given X be the set of all points x,fx, where fx=x23. That is X=x,x23: x∈ℝ. Now define a map g:X→ℝ as…

Q: Use a truth table to check whether the following are tautologies, contradictions, or neither. (а)…

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Q: #15. aib are liearly indepandant vectors in IR? Let F= Span faib, 2ar3b}. Then the dmensian of A) I…

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Q: vo perpendicular circles with centers at Oi and Oz respectively. Show that 2 coincides with the…

A: Sol

Q: 2. Solve the following Cauchy problem: u, + 2ru, - u=a+3ye" with u= 2r - 1 on y=-

A: We have to solve the given Cauchy problem.

Q: In a standard deck of 52 cards, how many different four-card hands can be formed with at most 2…

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