Find the gradient of the tangent to the curve xy“ + y+ ( log_(x – 2))² = 14 at the point (3, 2).

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A: Since you have posted a multiple question according to guildlines I will solve first question(Q9)…

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A: The given curves are y=225-x2 and y=9.

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Use the dropdown menu to indicate what best describes the number of solutions to each system of…

A: a. Here x + y = 10⇒ 2(x+y) = 20⇒ 2x +  2y = 20  ≠  4 Hence Answer: No Solution

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A: Stokes theorem is used to find the line integration

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Q: 2.58 Given an example of f E C (a, b) for which the range of f is a) a finite open interval. b) an…

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Q: 2.61 Let fn(x) = n 1. Prove: fn 0 uniformly on R.

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Q: Prove that vertical angles are congruent

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Q: 1. Consider the curve C with parametric equations Sæ(t) = t³ – 3t +1 lu(t) = t(t + 1) defined for t…

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

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Q: -" G) - sin- (). for n eN = {1,2, 3, ...}. Let an = sin n+1 (a) Determine if the sequence {an}1…

A: Note the following facts.

Q: B. (12xy? t +2X こD

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Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4sin 0. (a) Determine the slope of the…

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Q: 1. Calculate the following Legendre symbols (i) using Euler's criterion, Jacobi symbols: 3 (a) 17 15…

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Q: 7. The polynomial function f(x) = a + bx + c² + dx³, where a, b, c, d, e E R, interpolates the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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Q: Consider the ideal I C C[r, y, z] where I = (a?y? – a?z? – yz, y? + 22 – 1). Describe the set of all…

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Q: 5. Use a trigonometric solution to find the magnitude of the resultant of the following coplanar…

A: We have find magnitude of the resultant force.

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Q: Find the multiplicative inverse of a) 244 modulo 133

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Q: 1. Consider the curve C with parametric equations Sæ(t) = t³ – 3t +1 lu(t) = t(t + 1) defined for t…

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Q: Jennifer has 4 black bags. She has 15 seeds in the black bags. She has arranged the seeds in the 4…

A: Given : Number of bags = 4 Number of seeds = 15 None of bag is empty and all bags have different…

Q: 1- Solve the problem P.D.E. Uz = Uxx + sin(nx) + sin(2nx) 0 <x<1 0<t< 00 B.C.s "0,2) 0<t< 00 0 =…

A: Solution

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Q: a) Find the directional derivative of f(x, y,z) =xy-yz'+z at the point P= (1,-2, 0) in the direction…

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Q: choose the appropriate answer

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Q: ht%= V3tー/2+2,t #0 2+?, + +0 こ

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Q: Let Ly)= x²y"- x(x+2)4'+ (X+2)y as Consider the homogeneous diffeuntial equation, Lly)=0 (*) is show…

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Q: 3 1 and x2 = -2 2. Let S be the subspace of Rª spanned by x1 = Find a basis for S-. 1

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Q: -2 SI24 %3.

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Q: Find 1) equation of tangent plane and 2) the linear approximation of the function below at the…

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(, y) for f(x, y) cos(ry) for (x,…

A: Given function is fx,y=e−x2−y2cosxy. We have to find the first and second degree Taylor polynomial…

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Q: A reservoir is 90m long and its cross section is an isosceles trapezoid having equal sides of 11m,…

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Q: Solve the differential equation below using series methods. (- 8a? – 4)y" – 8xy = 0, y(0) = - 7,…

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Q: Real Analysis Prove the theorem: Let {fn} be an equicontinuous, uniformly bounded sequence of…

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Q: k+ 2W+メ+4+2 =5 サ W+ 2x + =

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Q: Convert the Partial Diff equation to canonical form and find the general solution a²u a?u a?u +2…

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Q: · A linear system is given by the following equations 1 xi + x2 2x1 + x2 – 3 3x1 – x2 – X3 1 %3D 3.…

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Q: In the puzzles below each letter represents distinct digit in a decimal scale. Identify the digits.…

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Q: A ship is following a course that is 104 miles from and parallel to a straight coastline. The ship…

A: Given: Let A represent the location of origin. As a result, its coordinate is (0,0). Because the…