Find the equation of the tangent line to the polar curve r = 3 + 8 sin θ at θ = π/6. Note that sin(π/6) = 1/2, cos(π/6) = √3/2.

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Q: 15. Find the largest root of x - 4x + x² + 1.2 = 0.

A: Newton's Raphson method

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Q: 1. In a survey of 700 users of the social network websites, the following data were obtained: 148…

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Q: hlith the given diti: x=[0.9,-1.5,01,-1, 2.1-t-2,2.2,0.2,2 91-5-2-5 T4-0.7,0,-1 3,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 34) Which of the following improper integrals converge? roo 1 -dx x In(x) a) 1 æ(In(x))?dx cos(x) c)…

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Q: Let f : [0, 1] → R be a continuous function. Show that the sequence of functions 1 fn (x) = ,x +1 +…

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Q: if (x, y) ± (0,0) x6 + y6 Let f(x, y) if (x, y) = (0,0) if (æ, y) + (0,0) and let g(x, y) 6x10 +…

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Q: For the series –1)*+1 k k=1 compute the partial sums: S1 ミ S2 = S3 = S4 = You will have to compute…

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Q: vork. No decimal answers. 11. 45 10 45

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Q: n 2i 1 41) Evaluate lim . n-00 n i=1 а) 0 b) E c) d) 1 e) None of the above.

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Q: 2. Find the order of growth of the following entire functions: (a) p(z) where p is a polynomial. (b)…

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Q: Consider the polynomial f(t) given by [2 1 3 4 1 3 2 5 2 f(t) = det 6 t t 2 3 4 2 3 3 1 7 3 4 t 3…

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Q: 3. cos x +sin x- cos(2x) sin(2x), cos(3x), 4 8. ...

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Q: he area of an ellipse with axes of length 2a and 2b is nab. The percent change in the area when a…

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Q: (3= Sincy) * Reverse or dar of integ ration and evalvate

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Q: QUESTION 3 3 Given the double integral, e dxdy. 0 3y

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Q: to at

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Q: Question 10 (see above) The relation "R(x, y) : x + y < 2x", where x and y are from Zt, is A. O…

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Q: Consider the following differential equation, with time domain t e (0, 1): Sy = (t² – 1)y, = 1.…

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Q: (d) f"(t) – 4f(t) = sin 2t where f(0) = 1 and f'(0) = -2 Taking Laplace transforms of both sides of…

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Q: If the F test leads us to reject the null hypothesis, we must then conclude that the two population…

A: we know that we can use F test for testing of equality of two standard deviations.

Q: onjugating all the entries. It is a real vector spac e of hermitian symmetric 3 × 3 matrices?

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Q: What is the domain and range of the function in the graph? t (time) -1 I 2 3 4 5 6 7 8 -2 -3- -4 -5…

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Q: Define f : R → R by ƒ(x) = [x]. Determine the collection of points C on which f is differentiable,…

A: The solution is below.

Q: Fill in the blanks in the truth table for the compound proposition (ngA (p → q)) → -p , and…

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Q: Question 3 (see above) Which of the following is equivalent to the statement "All coaches have won a…

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