het hey2= усаз хуся) - 79 (2) - you tay al soluc: hq = 36t - 242t > " юные '=at усо) =ц' соз су" (o) = y (3) (o) =0

Q: Find the area of the region above the curve y = x2-6, below y= x, and above y=−x.

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A: Volume enclosed by hyperboloidz=1+x22+y22 under the planez=5⇒1+x22+y22<5⇒1+x22+y22<25⇒…

Q: 1 Use Cartesian coordinates to evaluate [[[ y² dV where D is the tetrahedron in the first octant…

A: We have to find the volume of the solid and Draw Solid.

Q: 3 The function f : R² → R defined by f(x, y) = x³ + y³ – xy, (x, y) € R², has (A) a saddle point and…

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Q: Classify the equilibrium solutions as asymptotically stable or unstable. dy = y(y - 3)(y-5). yo 20…

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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: 2 m Find the angle theta. a = 5. b = 3. im N 1m D

A: Solution:-

Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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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: equations (b) P Identify the surfaces of the following equations by converting them into in the…

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Q: 10 Consider A = {z € C : |2|< 1}. The complex line integral Jonate=2) dz equals: (A) 0 (B)-ni+e²/2…

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Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

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Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x - y = 2

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Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

A: Solution :

Q: Find the area of the region bounded by the curves 1 y = (x+6)²² y = 4 and the x-axis using vertical…

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Q: ernment i cheorem h

A: Given: UA=G4;2-G14;UC=G-G22

Q: Find the wronskian of f1=x4, f2=-x4, f3=x2, f4=-x2

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Q: f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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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: 2.a. Find the maximum and minimum values of the function: y = 3x² 18x +31 -

A: We have to find the maximum and minimum values of the given function y=3x2-18x+31 .

Q: 4. The shell of a spacecraft (see Figure 2) is a union of two surfaces : • S₁ is part of 2² + 4y² +…

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Q: 7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost…

A: Consider the given price-demand and cost functions, px=x2-x+4 and Cx=x3-4x+5 It is known to us that…

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: ә2u at² д2u дх2 = a2.

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Q: a. Find the coordinates of point A. b. Region R₁ is bounded by the curves y = r² - 1, y = x³ + 1,…

A: The area of the region in a plane can be found using double integration.

Q: Find the area of the region bounded by the curves y = (x+8)2 y = 4 and the x-axis using vertical…

A: To find the area of the region bounded by the curves y=1x+82, y=4and x-axis i.e. y=0 using vertical…

Q: 6. Evaluate the line integral ² dr+r²y dy where C' is the rectangle with vertices (0,0), (5,0),…

A: Using Green theorem

Q: Evaluate: ff xy² dx dy 9

A: Solution :  Given that the integral  ∫04∫0yxy2dxdy

Q: Question: Verify Green's theorem in the plane for (x³ − x²y)dx + xy²dy, where C is the - C boundary…

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Q: Use Gerschgorin's theorem to show that the largest-modulus eigenvalue λ, of the matrix 4 -1 A = -1 4…

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Q: 5. The graphs of f(x) and g(x) are shown. What is g((4))? f(x)

A: Solution :    From given graph   f(4) =-2  ,  g(-2) =-4

Q: Find the Inverse Laplace Transform of the following functions 1) F(s)=- Ans. f(t)=1-e¹ S+S 2) F(S) =…

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Q: Evaluate the integral: Soft² et du d

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Q: True or False? 1. Let f : R → R be a function defined by f(x) = x^2+1. If B = {2, 5}, then…

A: 1. given f: R-R be a function defined by f(x)=y=x^2+1 then its inverse function will be arc…

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

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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: 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: Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: Find the Fourier series for f(x) = {1/ 0<x<T π < x < 2π Hence deduce the value of the series 2+2+

A: Given function is fx=1, 0&lt;x&lt;π2, π&lt;x&lt;2π. We have to find the Fourier series of the given…

Q: 3. Let G be the solid region inside the sphere of radius 2 cen- tered at the origin and above the…

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Q: Evaluate: ³₂2₁ (4x²y – z³) dz dy dx

A: We have to evaluate ∫03∫-24∫104x2y-z3dzdydx.

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: Let b₁ 2 = sin−¹ (²) and c, = sin-¹ („²7) for all n € N such that n ≥ 2 +00 Σ(1+bn) n=2 Σ(bn-Cn) n=2…

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Q: [2 4 11 Q1/ Find the determinant of the matrix 3 8 5 16 2 41

A: Solution :

Q: Solve the following differential equations, giving y in terms of x. (i) dy da = e+2y, given that y =…

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Q: y" + 4y = cos(t−3) +4t, y(3) = 0 _y (3) = 7

A: Solution :

Q: By using the method of least squares, find the best line through the points: (−2,−1), (0,−2),…

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Q: Evaluate: ³4²₁²[z³(x + y)³] dz dy dx

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Q: The definition of Antiderivative states that A. A function P(x) is called an antiderivative of the…

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Q: 10 [ Σ 15m3 n=m =

A: Given summation is ∑m=11015m3 we can write it as 15∑m=110m3         (1)