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Q: A thin-walled cone-shaped cup is to hold 367 cm³ of water when it is full. What dimensions (radius a...

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Q: ExO Let A (2,-1); 8 (-,0) are e any two points in)plane Find AB, BA 2

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Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its focu...

A: Given equation of the conic is 15x2-y2-210x-8y+779=0 which can written as 15x-72-y+42+60=0⇒y+422152-...

Q: Q2 Find Domiain and Rang メー2 2. y = 3-X

A: Given y = x - 23 - x

Q: 2 Convert this ntegral From rectangular Coordinte to Spherical Coordina tes (Donot eval vate the Eut...

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Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) 0? cos e + sin e cos-0 + sin...

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: P3 (coordinates and basis) Let M = d f:a = 2f,b = 2g + h, c = 3g – i, d = g + i, e = 3h e h i. a) Wh...

A: It is given a vector space M with some restrictions in it. In part (a) first we find the maximal dim...

Q: (4) Consider the following set: S = {(x, y, z) E R' | xy + yz + x =-2}. (a) Show that S is a surface...

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Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

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Q: Evaluate tne below exprassion using De Moivres meorem-

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Q: Hw.4 consider a ctosed Kectangutar box uith a If base side ir measured with evror at 2% and the heig...

A: Volume of the box with square base is given by V=x2ywherex=base sidey=height Surface area of the box...

Q: Expand f (x) = v(1 - cos x), 0 < x < 2n in a Fourier series. Hence evaluate %3D | 1 1 1 1.3 3.5 5.7

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Q: u+ 4 dy 5. If y = and u = Vx + x find when x = 4. dx u- 1

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Q: f(x) = xsinx (-1)"x2n (2n+2)! .2n+2 OA. (-1)"r2n+2 (2n + 1)! O B. n=1 (-1)"x2n+1 (2n+ 1)! C. 1. (-1)...

A: Maclaurain series

Q: Q2: Sketch the polar function r 3 6 cos 30 ,-n<0 < m

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Q: Leminia A novmad spuce F has astricty conven norm if and only 1R the tringle inequality is strić on ...

A: Given: F is a normed space where triangle inequality is strict on non-parallel lines.   To prove: F ...

Q: #2. Use mathematical induction Il to prove that for all integers n2 5, 1 + 4n < 2".

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Q: 54 %3D Let -2 v3 vi 2 9. where cER. What is the only value of c for which the basis for R'? +

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Q: D. Using the laws of set theory, simplify each of the following: 1) (AnB)U[Bn(Cn D)u(CnD)|

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Q: If a and ß are positive constants, show that the particular solution of dy %3D У (В — ау) dt that sa...

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Q: D=7e 7x. [0,00) s Property 2 of the definition of a probability density function? The area under the...

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Q: Q1: Find the values for (X, Y, Z) for the following equations : X+ 4Y – Z = -5 - (1) 3X + 3Y – 18Z =...

A: The system of equation is ,    x + 4y - z = -5 .........(1)                                    3x + ...

Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: y=2.5 cos2x+π6    

Q: For the following questions (11.i– 11.iii), a) Find the intervals of increase or decrease. b) Find t...

A: Let us consider the function f(x) The critical point is obtained by taking first derivative if the f...

Q: Given the function V(x,y,z) = x² In(y – xz) a. Solve all the first-order derivatives of V(x,y,z). Do...

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Q: Determine whether the set S spans R³. If the set does not span R3, then give a geometric description...

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Q: Find the general formula for T: R3 -> R3, if T(1,0,1) = (1,2,0) , T(1,-2,1) = (0,1,0) and T (0,0,1)...

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Q: 2- 5s b) F(s)= (s – 6)(s² +11)

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Q: For the function f(x) = v1 +x, let xo = (a) Find the Lagrange interpolating polynomial for f(x). (b)...

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Q: N A, = U A 1<i<n 1<i<n

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Q: This is one question but I couldn't fit the whole question in one photo so I attached two photos, th...

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Q: Solve f, e-+ n² dt. 6.

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Q: Consider a, B = 0. A possible graphical representation for the equation plane ax = By is: A) B)

A: Given  α,β≠0.we have to find the graphical representation for the equation plane.αx=βy

Q: Make the u-substitution u = 3x2, and then use the Endpaper Integral Table to evaluate the given inte...

A: We can solve this by using given information

Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0 ...

Q: of z = 1, the fL pansion of the z)2 + . 00

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Q: Exercisel Apply Parseval's formula to the function f(x) = x², -1<x<1, and find the sum of the series...

A: Since you post two different questions as per our guideline we can solve only first question for you...

Q: Can I please get the answer for these?

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: Let f (z) = zi + (z – 4). Part (a) Integrate the function f (z) along the curve C t3 +it? from z = 1...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: Solve the following recurrence: T(n) = 4T(n/2) + n²lgn

A: We wil use masters theorem.

Q: Use the simplex method to solve the linear programming problem. Maximize z= 3x, +5x2 subject to: x, ...

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Q: 4. Find the center of mass of the triangle below.

A: Given: The figure of a triangle, as follows:   To find: The center of mass of the given triangle.

Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation  Usi...

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = =...

A: If M=f(t), then t is called the input of the function, and M is called the output of the function. T...

Q: For each of the following, write TRUE if the statement is always true. Otherwise, write FALSE. No ne...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Convert the following symbolic statement into words if s=The sunroof is extra, r=The radial tires ar...

A: Introduction: Two simple statements can be joined together by logical connectivities. As a result, w...

Q: Let o be a fixed odd permutation in Sn. Show that every odd permutation in S, can be written as a pr...

A: The main objective is to prove that every odd permutation can be expressed as σα for some α even per...

Q: Using a proof by contradiction and the well-ordering property, prove Vr E R, if 2 < r, then Vn E N, ...

A: Every nonempty subset of natural numbers has a smallest element, i.e, if B is a nonempty subset of N...

Q: dy 1. Using Logarithmic Differentiation, find dr Z given that -3 sec-(V) y = 4"(log2 r)*ech z'

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