Find the equations of the lines tangent and normal to the curve given by the parametric equations x=4cost and y=2sin2t at t= π/3.

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A: To evaluate the given integral.∫3-16x-12 dx

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A: We can solve this as follows:

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A: Solving

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A: The given series,          ∑n=1∞3-n4n34

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Q: Solve

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A: This question can be solved using the concept of maxima and minima.

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A: Solving the differential equation by seperation of variables.

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A: Comparison test: Let ∑n=1∞an  and ∑n=1∞bn be two series such that an≤bn ∀n∈N If ∑n=1∞an divergent…

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Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0

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A: Follow the procedure given below.

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A: Solving

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Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: This question is related to numerical methods, we will solve it using given information.

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Q: 4-x Q3) Evaluate triple integral , S S* dz dx dy.

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Q: 10. [ tan 0 de 12.f cos do 3

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A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: For the sequence defined by: a1 = 3 1 - 3 An аn +1 Find: a2 аз = II II

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Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or divergent Σ an n=1

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: Given: S 10xe", 2а3 + За2 — 12а, х >0 x < 0 f(x) = + За? — 12х, х a. Find all the critical numbers…

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Q: 4. sin x dx 2.

A: Solving question number 4

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Q: He we 2# is Hhe difference what continuty and uni formaly シー continuty.

A: A function f:A→Rf:A→R is continuous at a point c∈Ac∈A if, for all ϵ&gt;0ϵ&gt;0, there exists a…

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Q: JVVy+1-2 dy can be evaluated conveniently if we let x =VVy+1 - 2 and dy = 4x(x² +2)dx. (A True B)…

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Q: Find the distance between the skew lines: x = 4+ 9t, x = 4 – t, y = 3+ 2t, z = 7 – 4t y = 9, z = 8+…

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