Determine the following limits. (a) lim f(r) -4 2) 2) (b) lim f(r) -1 (c) lim f(r) (3, -4) (d) lim f(x) (4, 5 (e) lim f(x)

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A: We have to find k-component of r(2)

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A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the...

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A: Given r= 2.(1+cos@) To find area of cardioid

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A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

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A: Given: I=∫19-x2dx  ...1   As we know from the trigonometric identity: sin2θ+cos2θ=1 And ∫a·fxdx=a·∫f...

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A: Trigonometry

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A: We have to solve it by substitution method. 

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A: Let's find. 

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A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

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A: Derivative

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Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5 1...

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Q: EVALUATE INTERMS OF GAMMA FUNCTION.

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Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

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A: Graph:

Q: 4.Find the volume of solid generated by revolving the Vosl regions bounded by the curve y = cos(-)y,...

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A:   Given: r→(t) = ln t, ecos t, t2  

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Q: d. lim f(x) e. lim f(x) c. lim f(x)

A: d.limx→2+f(x)= ?f(x)=2x ; x≥2limx→2+f(x)=limx→2+ 2x=2×2=4limx→2+f(x) =4e.limx→2-f(x) =?f(x)= x ; 1≤x...

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A: Multiplication rule of derivative is used.

Q: -x? + 5x + 14 Evaluate lim x--2 -5x2 – 2x + 16 Submit an exact answer. Provide your answer below:

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