1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two methods.

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A: Extreme Points of Function f(x,y)=6x2-2x3+3y2+6xy

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A: The answer is given below:

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A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 9

Q: a) [ i) Find the exact length of the curve y = x³ + 12x 1≤x≤2

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A: In this question we have to solve the Integral.

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A: Given data fx=e2x-3ex where,x∈R We need to solve part a,b,c

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Q: 5. There is an old question that is often used to introduce the power of geometric growth. Here is…

A: We will evaluate both the options 1 and 2.

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Q: 是 站管理及资 BABY NB INTE 10 因閲隨 分該莊頭學員黃鋒、黃鈴、黃斯基斯重建後板、 這是最後一

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A: The given cost function of producing x calculators is Cx=6+2x+48 , 0≤x≤50

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Q: 1. Integrate using an appropriate method. [2si 2 sin³(r) cos² (r)dr

A: The given integral is: I=∫2sin3xcos2xdx   As we know that; The trigonometric identity; sin2x+cos2x=1…

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A: Given, Foci: F(0,±2),  vertices: (0,±5)

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A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

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A: In this question, we want to find the domain of the given function and graph the function.

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A: We can find the average value as below.

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Q: Use an iterated integral to find the area of the region bounded by 2x - 5y = 0, x+y=6, y = 0.

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Q: -ydx + (x + √√xy) dy=0

A: answer is in next step; please give a like !!

Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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