n circle a measure of angle lam=42, measure of angle hag=30 and ange kah is a right angle. find the following measure of an angle or an arc. write your complete solution on a space provided.

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Q: ) ) Given a set of data points (t.. yi) as below ty 1 10 2 5.49 3 0.89 -0.14 5 -1.07 6 0.84 The…

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Q: 5. (x (x-1)) dy + (2xy + y) dx = 0. y(2) = 5. Determine y(3). Answer shall be in fraction form.

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Q: (b) Show that U (x, y) = eu cos v, V(x, y) = eusin v are conjugate harmonic of each other if f = u +…

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Q: Find the direction of maximum change of f(x, y, z) = xey + z² at (1, In 2,2).

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Q: Q6 Using the Fourier series of f(x) 1 + 1 -+ 2 1 1 1 + = 9 + 1 16 (-π< x < π) Prove that 1 π² 6 + 25…

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Q: 1. (A population model) Consider the differential equation dP dt -P(2P-1)(P-3) where P(t) is the…

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Q: Question a) b Let f(x, y) = x³-4xy² x²-2y Find the first partial derivatives of f. Determine whether…

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Q: Explain, the given differential 3x²dx + 2yz dy + y² dz is exact or not.

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Q: Question 11 The number of hours of daylight in Town A for day t of the year can be modeled using the…

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Q: Question 1 f(x, y) = a)!* b) [¹ Consider the function 4xy 2x²+5x² s Find the domain of f. Show that…

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Q: Given the lines 1₁ and 12; ₁:x=1+3t, y = 26t, z = 7t-3, x-4 6-y -8 3 5-z 5 (a) Show that 1₁ and 1₂…

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Q: Which of the following is a valid triple integral? Of Sh(s) (5) f(x, y, z) dzdydx So Jg(z) Jg(y,z)…

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Q: 5. Given the following data

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Q: The following differential equation is an ordinary differential equation O True O False dx

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Q: 1.) Find volume generated by the area bounded by y = 2x² and x-axis. You need to show two methods. y…

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Q: (b) Sketch the polar curve r = √cos 20 and r= 2 cose. Then find the area of the region that is…

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Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

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Q: 2. (2x + 4y -3) dy + (x + 2y -1) dx = 0; y(2) = 5. Determine y(3)

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Q: 3. x (x^2 In y - 1) dy + 2y dx = 0; y(3) = 4. y(x)=2. Determine the particular solution.

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Q: Use linear approximation to estimate √4.01+(4.01)2 correct to four decimal places.

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Q: Q5 a) b) (x > 0,k > 0) Find the Fourier cosine integral of f(x) = e-kx Find the Fourier series of…

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

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Q: Advanced Math p=251 and q=883 Write an equation for an elliptic curve Fq. Find two points on the…

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Q: Q) Let 8= R and Z={U=R=3€U]U{4} Prove on R. or disprove that is a topology

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