Find an equation of the tangent plane and find a set of symmetric equations for the normal line to the surface at the given point. x²+ y? + z? = 9 (1,2,2)

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A: Initially, ship is at point A (20°N,140°E) after 150 hours , ship is at point B (10°S, 170°E) We can…

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A: Here we first use following formula to write integral in two parts  ∫abfxdx=∫acfxdx+∫cbfxdxwhere…

Q: Q32: what's the relation between prime and semiprime ideals?

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Q: 1. Show using similar triangles that tan 0 and cot 0 are the respective measures of line segments AR…

A: Using figure ,∠QOA + ∠QOB = 90°⇒θ+∠QOB = 90°⇒∠QOB = 90°-θIn ∆QBO ,∠QBO = 90° and ∠QOB=90°-θ ⇒∠OQB =…

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Q: e" (1-e*) (1+x)[In(1– x)] 12. lim, 0

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Q: (B) Explain the relationship between am c) Boolean ring and commutative ring. d) Field and integral…

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Q: Let I (a, b) be a bounded open interval and f: I R be a monotone increasing function on I. (i) If f…

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Q: Given the following parametric equation of a torus if we have 0<g<x and 0<f<2x The cross-section of…

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A: We will find region bounded and then rotate it about y axis to create solid of revolution , To find…

Q: Solve the following problem over the interval from x = 0 to 1using a step size of 0.25 where y(0) =…

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Q: Determine the coefficient of xaxzx if (x1 + x2 + x3 + x4)1ª is expandec

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Q: Q3: What are the definitions of pointwise and uniform convergences? Compare between them in example.

A: Solution:-

Q: Q4 prove that 1. Let R be a commutative ring with identity and I be a maximal ideal of R. Then the…

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Q: The trajectories of fireworks are modeled by quadratic equations. The equations can be used to…

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Q: Jse three terms of the expansion for v1+x to calculate the value of y1.18

A: Introduction: The expansion of the term (1+x)n is given by, (1+x)n=1+nx+n(n-1)2!x2+...

Q: Qs: (A) Let R be a ring with identity. Define g:Z→ Z by g(x) = x. 1, Vx € Z. Is ga homorphism?…

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Q: 1. A vector-valued function r(t) in R3 traces a circle that lies completely on the plane z=3 and…

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Q: SOLVE THE FF AND MAKE SURE THAT YOUR FINAL ANSWERS ARE IN 4 DECIMAL PLACES. MAKE SURE YOUR SOLUTION…

A: Given: w=-28ay+28azr=14, θ=38°, ϕ=128° To find: Given vector in a spherical coordinate system

Q: Question 3. Let E be the solid in the first octant bounded by the cylinder y? + z2 = 25 and the…

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Q: 3. Check for monotonicity for the following functions. TR = -20² + 14Q %3D TC = 20 + 10 100 AC = Q +…

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Q: Show that the function f defined by 1, f(r, y) = { r2 + y (x, y) = (1, –1) (x, y) # (1, –1) is not…

A: We have to show that  f(x, y)  is not continuous at  (1, -1)

Q: Use Fixed-Point Iteration Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute error

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Q: Find the minimum value of f (x,y,z) = 2x2 + y? + 3z? subject to the constraint 2x - 3y - 4z = 49

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Q: Find the solution of the initial-value problem. dx 5 sint x(0) = 4 %3D dt X= (Use integers or…

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Q: Solve by the method of successive approximat ion

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Q: Consider the differential equation rye) – Gry + 12y = 0. Show that the set { is linearly…

A: Given: x3y3-6xy'+12y=0 To find: xiri=1n is linearly independent.

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

A: To find the given questions :-

Q: Q4: (A) Prove or disprove each of the following 1. Every prime ideal is maximal. 3. The cancellation…

A: 1) We need to prove or disprove that every prime ideal is maximal ideal. A proper ideal A of…

Q: THE LAPLACE TRANSFORM For Numbers 1 and 2. Find the Laplace transform of the following functions…

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Q: B. Prove that, if I is an ideai of the ring Z of integer numbers then I=, for some neZ'u{0

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Q: Using iterative method, solve g(x) = S(x) + 2 f e*¨*g(t)dt %3D

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Q: Question 8 A bag contains 1 blue marbles, 7 orange marbles, and 22 green marbles. Someone offers to…

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Q: b. True or False: The set of even integers is a commutative ring. Q17: a. Let R be a ring and I,, 12…

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Q: Let the domain of discourse be the set of all creatures. Define all propositional functions and…

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Q: Let a,ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a = 0 and 2(1-B)+ 3(1-B)² – 6B + 12 = 0 and a + B, also…

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Q: (c) Solve (a) by applying Gauss-Jordan elimination method. (d) Using the result obtained in (c),…

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Q: (B) Let G be a set of all real numbers except 1. Define on G by a b = |a|b, where |a| is the…

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Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…

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Q: 2. Expand f(2) = in a Laurent series in the region 1 1. 4. Find the isolates singularities of the…

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Q: A herd of American buffalo (bison) can be modeled by a stage matrix similar to that for the spotted…

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Q: Find the zero-divisors of Z6.

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A: For a parabola of the form, (x-h)2=4p(y-k), the vertex is given by (h,k), the focus is given by…

Q: eeded to be solved

A: Given that the sphere             x2+y2+z2=25 inside the cylinder                  x2+y2=9

Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 5. (D2 –…

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Q: The lower right-hand corner of a long piece of paper 6 in wide is folded over to the left-hand edge…

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Q: 3) Consider the location of Fatima and Kiran to be at F(-2,6) and K(3,-4) respectively. Both decided…

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Q: 4. Find the isolates singularities of the following functions, and determine whether they are…

A: Solution:-