Show that the tangent to the locus of centre of curvature tan of original curve and makes an angle op lies in normal plane with the principal normal of original curve.

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Q: True or false. Please provide the reason if the statement is false. Let Q be a mxn matrix with…

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Q: 5. Verify Gauss's theorem for D = {(x, y, z): 0 ≤ z ≤ 9-2²-y²} and F ri+yj + zk.

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Q: Plz asap handwritten solution acceptable Will definitely upvote

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Q: 8) Consider the following set of data: 13 7 19 46 25 45 14 THE (There are 28 data values) 10 8 6 23…

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Q: Find the rest of 777 in the division by 3864

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Q: 2X Solve the following ODE: (D²- 3D²+4) y = 3 ² ² find yh Using inverse Operator Method e

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Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

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Q: Use contour integration to evaluate 6.00 sin x x(x² + 1)² -dx.

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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: · Let S : RCUN) = < u² Losv, u²³-4, 4²-sinv), (u₁v) & [13] x [2₁4] Evamate : do (y+4)³2 SS S

A: Note: For r→(u,v)=&lt;x(u,v), y(u,v), z(u,v)&gt; , take dσ=||ru→×rv|→|dA

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

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Q: Consider the following vectors: -9 -6 THE a= C= -6 -7 -6 For each of the following vectors,…

A: a→=3312, b→=-9-6-6-5, c→=-90-7-6

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

Q: 20. Let g(t)= cos(31) +2. (a) Write the parent function and draw one cycle here: (b) Find the…

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Q: How do you know that sup R is a lower bound for S? How do you know that it is greater than or equal…

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Q: Hello, I need help with this problem. I need it solved hand written.

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Q: Find O d² cot 1 ¹x dx2 -2x (1+x²)² 2x (1+x²)² -1 (1+x²)² -2 (1+x²)²

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

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Q: Minimize z = 3x + 4y subject to the constraints   3x - 4y ≤ 12, x + 2y ≥ 4   x ≥ 1, y ≥ 0.

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

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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: Solve the system of differential equations Jx₁' = 3x₁ - 32x2 x₂ = 0x₁ - 5x2 x₁ (0) = 6, x₂(0) 1…

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Q: Find the center of mass of the region between the curves y=x and y=x^2 (Assume the region has…

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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: 2. Evaluate: (a) L{(e-2t − 1)² cos πt} - (b) L{U(tn) - sin 3t U(t-T/3)}

A: The given problem is to find the Laplace transforms of the given functions f(t).

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Q: For the function f(x) = xx on the interval [-7, 7] we need only compute one set of the Fourier bn =…

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

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Q: QUESTION 4 Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 -5…

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Q: Consider the function f(x) = = −1, X, 1, −2 < x < −1, −1 ≤ x < 1, 1 ≤ x < 2. (a) Sketch the graph of…

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Q: Given the following function curve, match the point with its characteristic. -3 1 2 Point 1 Point 4…

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Q: . The helix curve is 3 a(t) = (cost, 2 sint, 3). (a) Find the tangent vector T. (b) Find the normal…

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Q: 7. vdx + (2x+1-vx)dv = 0 2y x² ox

A: Q7 asked and answered.

Q: Evaluate the surface integral. [[ xz dS, S is the part of the plane 2x + 2y + z = 4 that lies in the…

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Q: 6. [2] A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold…

A: Given Data: Let us consider the probability function is given by: ft=0.01e-0.012t,t≥00,otherwise (a)…