the base of an objec cross sections (perper nd your answer to at

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A: It is given that,   f(x, y) = cosy sinxx,x≠0cosy,x=0 We have to show that,  fx, y is continuous.

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Q: y(t) = y" - 7y' + 6y = et + s(t - 7) + 6(t-9), y(0) = 0, y'(0) = 0 ) + ( [ ])2(x-7)+ ( [ 1) 2(t-1

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Q: homomorphism If f is a of a group G into a group G'with kernel K. let a € G be such that f(a) = a' e…

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Q: Find the critical points of the function +2x f (x) = f±2 (t² − 1) et dt. Determine whether they -2x…

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Q: prove that A Sub. treelong powevr 21 L droeb to H dreelans бога b of G if and is a only ; f every…

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Q: a = 3 iff N(a) = G. also show that if G is finite, then a € 3 iff o(N E

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Q: A volume is described as follows: 1. the base is the region bounded by y - 2. every cross section…

A: Answer :- On graphing we get

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A: Given:  v1=w2+w3, v2=w1+w3  and v3=w1+w2 Where w1,w2,w3 are independent To show : v1,v2,v3 are…

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Q: Subgroup H of a group G is a normal subgroup of G if and only if the product of two right cosets of…

A: Let H Be a normal subgroup of a group G, and x,y be any two elements of G. Hx ,Hy are any right…

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Q: f G is a group and H is a subgroup of ind how that H is a normal subgroup of G.

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Q: 4. Use the following Venn diagram for this question. P 67 8 r 4 q (a) List the regions of the Venn…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

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A: There is continuous function f(x) whose domain is [-1,8] and differentiable on -1,8, which…

Q: Find a non-zero vector in Nul A and a non-zero vector in Col A for the following matrix: 1 2 4 5 -5…

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Q: The Acme Company has developed a new battery. The engineer in charge claims that the new battery…

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Q: Suppose f(x,y) = C is the solution of the given Differential Equation. Determine the value of the…

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Q: A) Solve the linear system x1 + 3x22x3 4x1 + 2x2x3 4x13x2 + 3x3 - 2x4 = 4 = 4 -2 using the…

A: (A)  Express the given system of equations in matrix form as AX=B then the augmented matrix of the…

Q: Find the equation of the line drawn through point (1, 0, 2) to meet the line angles. x+1=2=2+1 at…

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Q: Consider the following initial value problem. y" + 6y' + 25y = 8(t) + 6(t5a), y(0) = 1, y'(0) = 0…

A: Formula of Laplace transformation…

Q: Convert the following Linear Program problem to standard form. Maximize: Subject to: 2x+y 0≤x≤ 5 0≤…

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Q: Calculate the following limits, or explain why they diverge. (d) lim sin n→∞ (e) lim n→∞ n+ 1 n² + 1…

A: Limit of the sequence

Q: Find the mass of an object with density p(x, y) = x4 if the object is a region D bounded by x² and…

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Given initial value problem is              y'=x2y-12y2     with    y0=3        Let…

Q: (2) Evaluate ³ dAwhere D is the region bounded by 2y=√xand y = 5-x, yz 0 gử

A: Double integral is denoted as ∫ab∫g(x)f(x)F(x,y)dydx or, ∫ab∫g(y)f(y)F(x,y)dxdy

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A: The given matrix is, A=1112501-12,  and b=123. To Find: The maximum change in the solution of the…

Q: Find the root of the function using the following methods. Modified Newton-Raphson Method

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Q: Let A E Cnxn and let XC Cn be a subspace of Cn. Recall that is said to be an A-invariant subspace if…

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Q: (b) Let B={(0,2,-2), (1,0,-2)} be a basis for a subspace of R³, and let x = (-1,4,-2) be a vector in…

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Q: 2. Solve the general cubic equation x³ + ba + bx + c = 0 with the trick of Cardan's Ars Magna.

A: The general cubic equation x3+ba+bx+c=0. We have to solve this equation using Cardan's Ars Magna.

Q: if sis a group of order p", then its center 24, peing a primes

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Q: Four partners are dividing a piece of land that each see as worth $124,000 among themselves. They…

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Q: O(G) If G is a finite group, than o(G) = Σ- D(N(a)) where this sum is taken over one element of each…

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Q: For the graph of a function shown to the right, find (a) the domain and range, (b) the intercepts,…

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Q: what is the remainder of 119 ÷ 2

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Q: (GJ-2) Use Gauss-Jordan elimination to find the inverse of the following matrix, and show all…

A: The given matrix is                                       A = 131-1202123 We have to find the…

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Q: 1-dx the Comparison Test. 4 Given that -dx converges, how do we know that We cannot compare 00 1 x³…

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Q: Solve the D.E y' 1 (e-y-x)

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Q: Solve the Goursat problem: Utt- c²Uxx = 0 u|x-ct=0 = x² u|x+ct=0 = x4. nt: Use the formula for…

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Q: Prove that 3" +4" ≤5" for all integers n ≥ 2.

A: The given problem is to prove the following inequality 3n+4n< 5n for all the integers n>2.

Q: 6. (E) Prove that there are no solutions to the equation 2x² + 5y² = 32² in positive integers (x, y,…

A: Given equation is    2x2+5y2=3z2  ------ (1)  Let's suppose that we have a solution x,y,z where…

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Q: 3. If the continuous random vector (X, Y) with conditional density function Y given X = x is…

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