The linear density of a rod of length 9 m is given by p(x) = 4/√x, in grams per centimeter, where x is measured in centimeters from one end of the rod. Find the mass of the rod. 240

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A: a function is invertible only if each input has a unique output.

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A: given  z=3x2+y2x=ey

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A: We can find the correct option in the below steps.

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A: To solve the given inequality

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A: Ode

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Q: hether the matrix is invertib

A: We have to consider the given matrix is invertible or not

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A: Solution: 18x2+108x+9y2-54y+81=0  The standard form of the ellipse : (x-y)2a2+(y-k)2b2=1is the…

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A: Given: Range of g(x) is [-2,6]

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A: Given,            ∫dxx9x2-9

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A:

Q: 1) Write the Taylor Series for f(x) = x³ about x = -2 as Сп (x+2) ". n=o First 5 terms.

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A: we will find the required.

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A: Let effectiveness denoted by E E = 0.03t( 70 - t ) E = 2.1t - 0.03t2

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A: What is the standard form equation of an ellipse that has vertices (-4, -13) and (-4, 11) and…

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A: We will find the required

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A:

Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

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A:

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A: Given data, f8=2 and y=x-11+4

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A: use separtion of variable and integral

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A:

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A: Given query is to find domain,range and interval of increasing and decreasing.

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A: Let's find degree, leading coefficient and maximum number of real zeros.

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A:

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A: To evaluate the integral.

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A: Given f( x )= sinx at x = π2linear approximation L( x ) = f( a ) + ( x - a )f'( a )

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A: Solve the following

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A: use the algebraic property of integrals.

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A: