The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the curve, find an equation of the curve. 3 y=-x3/2 4 + 33 4 y=-x3/2- 33 4 y=-x3/2- 39 3 Oy=x3/2- 24

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A: Given query is to find the value of the integral.

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A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

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A: Given query is to find the solution of the differential equation.

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A: Here is the solution  

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A: Take the logarithm then take derivative twice. 

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A: We have to find the volume generated by rotation the curve about y axis.

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A: We will find all the asked values using Taylor series expansion as following.

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A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

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A: Given query is to find the graph of the quadratic function.

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A: Please see the below picture for detailed solution.  I solved question number 7.

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A: We can find limit as follows

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A: For zeroes we put y=0 .

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A: limx→ 0+x2ln5x using L'Hopital rule

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A: Use the definition of hyperbolic of sine function. 

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A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

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A: According to given, only 8 is solved  

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A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...

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A: We have,

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A: Given

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A: Equation

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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10

A: First we use partial fraction decomposition and then evaluate the integral.