Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the function. c) Shrinking the function along x-axis by (3/2) units. d) Graph of the resulting function.

Q: Solve the following differential equations, giving y in terms of x. dy (ii) (x + 1)- - (x + 1)5 =…

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

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Q: ә2u at² д2u дх2 = a2.

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Q: Evaluate ¬⇒(pv¬q) if p and r are True and q is False. Select one: O True False

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Q: 2x₁6x₂x3 = -38 Given the linear system -3x₁-x₂+7x3 = -34 -8x₁+x₂2x3 = -20 , determine the values of…

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Q: Evaluate: ²₁¹ (x² - y²) ²1 x+y du du dt

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Q: 5. Use Cartesian coordinates to evaluate SSS ³ y² dv where D is the tetrahedron in the first octant…

A: We have to Use Cartesian coordinates to evaluate given integral  where D is the tetrahedron in the…

Q: Consider the function z(x, t) that satisfies the PDE vz+625-0 -0 for 20 and t> 0, and the initial…

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Q: Find the area of the region bounded by x = and the y-axis using the horizontal strip. 2y²+1

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Q: Find the general Solution of the following PDES ди ди ay 9 2 -5х = 3e + 2e +u ucx;o) = > -5х-3у…

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Q: +y" - 4y +6y= 3-3

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Q: Q3/If f(x)=x²+1 and g(x)=√x, find the composite function and its domain: (a) fog (b) gof

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Q: 7 The volume of the solid region 7 = Is (A) 120T (B) 100T (C) 132T (D) 967 {(x, y, z) € R³: 4≤2² +…

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Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

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Q: Maximize: Z = 4x1 + 5x2 subject to: 3x₁+ 6x₂ ≤ 36 4x1 + 2x2 ≤ 36 X1 + X₂ ≤ 8

A: Maximize :  Z=4x1+5x2 subject to 3x1+6x2≤364x1+2x2≤36x1+x2≤8

Q: 3 [(x² - y²) Evaluate: ₁³ L6[***] x+y du dt

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Q: is there any computation when you have a graph of time series?

A: Solution:- A time series graph (often called a time series plot) is a graphical representation of…

Q: Show that e, = [1 2 3] is an eigenvector of the matrix A and find its corresponding eigenvalue. Find…

A: Problem is solved using concept of eigenvalues and eigenvectors.

Q: Determine the general solution of the following differential equation: (D²-4D+4)y=(6e2x)/(x4) O A. y…

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

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Q: 5. Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick.…

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Q: (5) If f(x) =........, then f(x) is reducible in Z5[x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x² +…

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Q: Σ (j + 2)² = j=11 = first step 2nd step 3rd step 4th step final answer

A: The given summation is                   ∑j=11n(j+2)2 To find the given summation we shall use the…

Q: J2u 0t2 J2u a² дх2

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: (4) Let K be integer ring module 12 and let I=([4]) and J=([6]) ideals of K. Then [2] belong to ...…

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Q: f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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Q: Solve the boundry-Valued PDE 24 = 4 24 = 484 ठेप ulog) = 86³4 using the genral method -12X-39 ans:…

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Q: lowi 19 7 2

A: Given,  Two Players A and B The Bi-matrix game is given as : A=19619712621416…

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 6. Evaluate the line integral y dx + xy dy where is the rectangle with vertices (0,0), (5,0), (5,…

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Q: 1. Use the method of undetermined coefficients to find the solution of the initial value problem y"…

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Q: For nos. 1 and 2, use separation of variables to find a product solution to the following: ди ди 1.…

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Q: 2e π/3 √√2²² 7/³ t Inu tans ds du dt

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Q: 4 The area of the surface S = {(x, y, z) € R³ : z — 5 — z² - y², z ≥ 3} equals (A) 4T (B) (C) (D)…

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Q: orward step siz

A: Solution: y=f(x)=sin(0.5x)x

Q: he solid R. 3r2+3y2 and below the the solid B

A: Given as, dV=r dz dr dθ Here, 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2 z=3x2+3y2 and x2+y2=z

Q: Let f: RR be a continuous 27-periodic function whose Fourier series is +∞ 1 1/2 + + /20 cos(nx). n=1…

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Q: Find the wronskian of f1= x2-6x, f2=x2+6x, f3= x2-3

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Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

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Q: Evaluate: ²y cos(z³) dx dy dz 0

A: see my solution below

Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

Q: Consider a continuous function f(x)=2ex−1−2x. The graph of f is decreasing on which interval/s?

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Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

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Q: Suppose 3.141516 is estimated using 3.141529. The relative error is (Answer must be in 7 decimal…

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

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Q: Solve y" (t) + y' (t) – 2y (t) = H (t) ; y (0) = 0 ; y' (0) = -1 where - H(t)=t+1, 0≤ t < 6 H(t) =…

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Q: 5. Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick.…

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Q: The behaviour of an unforced mechanical system is governed by the differential equation 5 2 -1 0…

A: Problem is solved using concept of matrix eigenvalue and eigenvector.

Q: II. Problem Solving/Proving. Show all complete solutions. 1. Show that V = M22, the set of all 2 x 2…

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Q: Using Laplace Transform What will be the time in which Tank 1 will have % of the salt content of…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.