find the derivative of f(x)=x/(x+2) using the limit definition of a derivative

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A: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

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A: Antiderivative of F(x)=cos4(x) sin3(x) isy=∫cos4(x) sin3(x) dx

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Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

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A: There were 130 insects after the third day and 380 insects after the seventh day.

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A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

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Q: (4x2+ 5x4) dx (x+1) (x²– 6x + 34)? By method of partial fraction, the integral - can be evaluated…

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A: We have to find area of largest rectangle that can be inscribed in a circle of Radius 5 unit.

Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

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Q: 5 Show that the function h(r, y) defined by if r +y? < 1 h(x, y) 0; if r +y 2 1 is discontinuous.

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Q: - y? = 4x, x = 0 to x = 4 %3D

A: To find the area of the region bounded by the given curves.

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A: Given problem:-

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A: A region is bounded by f(x)=12x-12, y=0, y=2 and x=0

Q: Exercise 1: Express an inequality statement that relates HI and 1. 19° G I 26°

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A: As we know that the nth order Taylor's polynomial at x=0 is given by,…

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Q: cos a 26.If S (cosº x · B)dæ +C, what is the B? %3D OA. - cos a 1 O B. csc z 1 O c. sec a O D. - sin…

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Q: It was not collect answer

A: Apologies for the inconvenience. Given function is:  y=∫-9xcostt12dt We have to find: dydx

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: sec* ede tan 0+9 tan e

A: ∫sec2θ tan3θ +9 tanθ dθLet x=tan θ.=∫1x3+9xdx=∫19x-x9x2+9dx=∫19xdx-∫x9x2+9dx=19lnx-118lnx2+9Add a…

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Q: dæ Evaluate: a/9x2 + 4

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Q: The population of Guinea pigs in a certain place increases each month exponentially. After a month,…

A: Follow the procedure given below.

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 12 sin (x), a =…

A: f(x)=12 sin(x)fπ2=12f'(x)=12 cos(x)f'π2=0f''(x)=-12 sin(x)f''π2=-12f'''π2=0Taylor polynomial…