Show that the tangent to the locus of centre of curvature P nd makes an angle tan lies in norma plane with the principal normal of original

Q: 3-4₁1 2-22 2-₁ 3-2₂ B(z₂), C(3), and D(2) (taken in clockwise sense) are concyclic. If = k (k>0),…

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Q: 1. Show that the function f: N 2. Prove that fof-lomiff f is a function from ran ƒ to dom f. 3. Let…

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Q: The diagram represents a relation R on a set A. Write the sets A and R. See the attached file for…

A: The diagram represents a relation R on the set A. Task: Write the sets Aand R.

Q: 3. Use Variation of Parameter to find a particular solution for y" - 4y - 12y = x.

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Q: Verify Stokes theorem for the given surface S and boundary 85, and vector fields F. S = ((x, y, z):…

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Q: Let B be the standard basis of the space P2 of polynomials.Use coordinate vectors to test whether…

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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: (b) Show that if a₂ > 0, then (a₂n² + ain+ao) = O(n²).

A: To Prove: ⊝a2n2+a1n+a0=⊝n2 where a2>0.

Q: 6) A homeowner is painting one coat on the side of their home which is 975 square feet, at a speed…

A: Total area to be painted is 975 square feet and speed of painting is 200 square feet per hour.

Q: Exercise 4: Find a row-reduced matrix which is row-equivalent to -(1 + i) -2 2i A = 0 1 -1

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Q: X1 x3 = 0 = 1 3x₁ + x₂ + x3 = −x₁ + x₂ + 2x3 = 2

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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: 2x² 2 c + xy – y/2 xy + 3y x2 + 3xy + 2y 2 कर = = = 1 = 13 = 0 = = =

A: System of linear equations

Q: Prove the following for any given sets A, B, C and D. 3. ACB iff P(A) CP(B). 4. ACB if and only if…

A: Let P(A) denotes the power set of set A, that contains all the subsets of set A.

Q: 4. 5. 2 sinh 6t4t cosh 6t t²e-2t sin 8t

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Q: 6. Let A = { 1 + 1² | MEN IS A Compact?

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Q: -3 -2 5 3 Y 1 2 3 4 5 6 7 Describe the white area in the figure using a system of inequalities.…

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Q: Suppose f : A →R is a function, c is a limit point of A, and limx→c f(x) = L. Prove limx→c kf(x) =…

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Q: A spring gun at ground level fires a golf ball at an angle of 45%. The ball lands 14 m away. The…

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Q: 7x/4 Evaluate the integral (sinx + cos x) dx using the fundamental -x/4 theorem of calculus. Discuss…

A: The given integral is, fx=∫-π/47π/4sinx+cosxdx. To Evaluate: The above integral. Also,  To Explain:…

Q: A critical point will be a point of inflection if the second derivative is Higher than first…

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Q: question e

A: Given the data, 13 46 10 29 16 22 17 7 25 8 21 19 15 3 19 45 6 8 34 16 11 4 14 23 3 40 37…

Q: Find the inverse Laplace transforms of the following functions: (10) (ii) (iii) 3s-2 (s-2)(s+1)² 3s…

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Q: Estimate the possible propagated error in the calculated volume

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Q: Find a basis for the set of vectors in R³ in the plane x-3y + 4z = 0. [Hint: Think of the equation…

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Q: There are two bags each containing 10 books all having different titles but of the same size. A…

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Q: One measure of the magnitude of a matrix is O RHS Vector O Condition Number O Frobenius Norm

A: A matrix's magnitude can be determined using the Frobenius norm. It is described as the square sum…

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

A: We find required integral by using Fubinis method.

Q: 3. Consider the function f defined by f(x, y) = 4x² + 4y² + x² + y² − 6x²y². af af (a) Find and dx…

A: Given function  f(x,y)=4x2+4y2+x4+y4-6x2y2. Then,           ∂f∂x=8x+4x3-12xy2  and ∂f∂y=8y+4y3-12x2y

Q: Given the series: 1 1 1+ + + 8 64 1 512 + does this series converge or diverge? O diverges O…

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Q: Find the range and domain @ f(x,y) = x 1Ⓒ fcx, y) = √x== y X-J x+y 3 f(x, y) = y (XI 1@ f(x, y, z) =…

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Q: Using the Convolution Theorem, find f(t) in the form f(t) = A H(t – to)et+D and enter the values of…

A: As per the question we are given the Fourier transform of a function f(t) i.e. F(jω) And we have to…

Q: Ifz₁, Z2, Z3 are complex numbers such that (2/z₁)=(1/z₂)+(1/z3), then show that the points…

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

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Q: If f(x) = 5 2 1 X Next - lim f(x) = 1 I→2 None of these. x, when x = 2 3 , when x > 2 " O f(x) is…

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Q: Let E be the solid bound by the cylinder y²+z²=4, the yz plane, and the plane y=2x with y 20.…

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=4e³jt f(t) may be…

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Q: Let f(x) = x - x² for 0 ≤ x ≤ 1. What is the Fourier series of the odd component of f(x) on the…

A: Fourier series is the expansion of the periodic function it is a combination of the sine and the…

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

A: The given problem is to find the mass of thin funnel in the shape of cone z=√(x2+y2) , 1<z<3 ,…

Q: 1. Draw the complete shear and bending moment diagrams. 1 m 600 N 2 m 600 N -1 m- B

A: Now, RA + RB = 600 +600 = 1200 RA + RB = 1200 Now, Taking moment about A RB * 4 - 600 * 3 - 600 * 1…

Q: Using Stoke's Theorem, evaluate c where C is any closed surface enclosing a square region of the xz…

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Q: ) Use the definition Laplace transform to find £{f(t)}

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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: Linear Algebra

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Q: Consider f(x) = x2 -8x + 12   and g(x) = -x2 + 8x - 12.  a) Without graphing, can you explain how…

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Q: Linear Algebra

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Q: 1. The function f is defined by f(x) = = log x X (a) What is the domain of f? (b) Sketch y = f(x),…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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Q: Let z₁ = 10 + 6i and z₂ = 4 + 6i. Then prove that all the Z- Z1 T complex numbers satisfying arg =…

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Q: 4. let an = 21-114 + 3 (-1/4+1 if n=34 (-114 if n = 34+1 ü 1-114 if n=34+2 (2/1+1) (24+3) find Ipm…

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