For the function: g(x) = 1 - || , - 2 ≤ x ≤ 2 Find the fourier transform (0 otherwise)

Q: Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) =…

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Q: Approximate the area under the curve f(x) = 3²-1 on [2, 4] using midpoints and 4 rectangles (round…

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Q: Find the intercepts of the graphs of each equation, test for symmetry about x- axis; y-axis & origin…

A: Note: “Since you have posted multiple questions, we will provide the solution  only to the first…

Q: Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a…

A: Quadratic form and diagonal matrix

Q: Prove that fo f = Idom f iff f-¹ is a function from ran f to dom f.

A: Prove That : f-1of=Idom iff f-1is a function from ran f to dom f.

Q: 5. Find the integral of the function f(x, y, z) = z over the solid bounded by the surfaces z = 12 -…

A: We can find the integral.

Q: A linear spline is fit to the following points is (-2,2), (1,-1), (3,1), (5,-3) and (7.1). What's…

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Q: Find the real-valued general solution and circle it. Then draw a phase portrait. Clearly label the…

A: Given,          x'=1001x.

Q: D. Determine whether each of the following series are absolutely convergent, conditionally…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). [83] - 4 - 3 A = L U = ||

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Q: R and C with ||x|| = |x| are Banach spaces.

A: Given: ℝ and ℂ with x=x.  We have to prove that they are Banach spaces.

Q: Determine the radius and interval of convergence of the following power series. x6x⁹ x12 5! + -- 2!…

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Q: 2. Draw the complete shear and bending moment diagrams. A -1 m- 800 N 1200 N·m -1 m. -1 m- 600 N -1…

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Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: Consider the sturm-Liouville Problem d²p dx² for oexal, with boundary condition +x=0 $(0) - do (0)=0…

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Q: Suppose x, y = R³ are non-parallel E and A = 2x, is a 4 x 3 matrix with row vectors A₁ = −2x + 3y.…

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation F (u, v) = (u cos v, u sin…

A: Given, r¯(u,v) = ucosv,usinv,v, 0≤u≤30≤v≤3π   We have to find the surface area of the helicoid.

Q: Holli O’Leary sells copy machines. She carries 3 models.  Price and monthly sales for each model are…

A: Model Price Number sold Workmaster $500 47 Auto-Feed $850 22 Deluxe $2300 8

Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: The given problem is to find the orthogonal basis for the column space of the given matrix.

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: The given problem is to evaluate the given flux of  surface integral of vector field over the…

Q: Use the given graphs off and g to evaluate the expression. (Assume that each point lies on the…

A: Solution :- To find fog1i.e. fg1It is clear from plot that g1=3

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: Urgent need pls i will rate We have three vectors: X1 = [2, 5, 3, 0, 6] X2 = [1, 4, 2, 7, -2] X3 =…

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Q: 3. Let f: A B be an injection, and X, Y C A. Show that f(XY) = f(X) nf(Y).

A: f:A→B be an injective map X,Y ⊆A

Q: Find the mass of a thin funnel in the shape of a cone z =√x² + y2, 1 ≤ z ≤ 3, if its density…

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Q: Evaluate the following integral by first converting to an integral in cylindrical coordinates √5…

A: Given, ∫05∫-5-x20∫x2+y2-119-3x2-3y2 (2x-3y) dz dy dx We have to convert an integral in cylindrical…

Q: x = ( ²3 =2) x -2 3. x' =

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Q: Let F= . •ff, curl F S S is the hemisphere x² + y² + z² = 1, z ≥ 0, oriented upwards. Use Stokes'…

A: Given: F→=x2eyz, xexz, z2exy, x2+y2+z2=1, z≥0 To find: ∫∫ScurlF→.dS

Q: PROBLEM 1: Joey is a college student who is good at designing and creating furniture. He has 6 units…

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Q: Use Green's Theorem to evaluate F. ñ ds, where F =(√x + 4y, 2x + 4y) and C' is the boundary of the…

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Q: If one of the vertices of the square circumscribing the circle |z1|= √2 is 2 + √3i, find the other…

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: Given, The temperature varies between 73 and 87 degrees during the day. The average daily…

Q: Verify the tangent line approximation of the function at the given point. Then use a graphing…

A: line approximation of the function at the given point

Q: Consider the linear transformation T:P (R) →P (R) defined by T (p(x)) = xp'(x). Which of the…

A: Here, v(x) = x2 + 2x       => v'(x) = 2x + 2. Then, T(v(x)) = xv'(x)                          =…

Q: Let G be a group and H < G. Show that for all x∈G, x-1Hx is a subgroup of G of the same…

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Q: The equation r(t) = (t + 2)i + (√2t) j+ (31²) k is the position of a particle in space at time t.…

A: The position vector is given by,         r(t) = (t+2) i + (√2t) j + (3t2) k   Hence, the velocity…

Q: 3-41 2-2₁ 3-2₂ B(z₂), C(3), and D(2) (taken in clockwise sense) are concyclic. If 2-22 2) = k (k>…

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Q: Find the change of variable x = Py that transforms the quadratic form x¹ Ax into y¹ Dy as shown. -…

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Q: Define the Taylor series of the functions below, up to fifth degree: a. y = sin x @x₁ = 0 b. y =…

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Q: Find the solution of the given Differential Equation: y" - y - 2y = sin 2x

A: Given: y''-y'-2y=sin2x We have to solve the given differential equation.

Q: 10 0 0 1 a 1 1 -1 0 2,

A: The given matrix is, A=100a11-102. To Find: Value of a for which the matrix is diagonalizable. Also,…

Q: Exercise 3. Determine whether the solution of a" +z+8x7 = 0 satisfying (0) = 0 and x'(0) = 1 is…

A: Given, We have to determine the solution of x''+x+8x7=0 with satisfying x(0) = 0 and x'(0) = 1.

Q: Approximate the double integral of f(x,y)=x+8y over the region R inside the circle (x-3)2+(y-2)² = 1…

A: Given the function fx,y=x+8y over the region R inside the circle x-32+y-22=1 using the partitions…

Q: Evaluate ſſſ x² + y² + z² dV where D is the region above the xy-plane between the spheres x² + y² +…

A: ∭Dx2+y2+z2dV D is the region above the xy plane between the sphere x2+y2+z2=4, x2+y2+z2=9 and…

Q: 1- How many roots does each of the following equations has? a- Cos x=e* b- e*= 1+ Sin x c- Inx=x² d-…

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Q: 4 HA=[-1-3] and A -4 If b₁ = b₂ AB = -2 -17 9 -5 37 determine the first and second columns of B. Let…

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Q: 7. vdx + (2x+1-vx)dv = 0 2y x² ox

A: Q7 asked and answered.

Q: Given, f(x)=x2-4x, [−4,8]. Find R3,L3,and M3 and give accompanying accurate sketches

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Q: d²y dt² +4y= cos2t y(0) = -2 and y'(0) = 0

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Q: 2-22 ( -k (k>0), then prove that points A(z₁), 2-2₁ 3-22) B(z₂), C(3), and D(2) (taken in clockwise…

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