a) Evaluate [₁(x-3) (x-3)√√x+3dx

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A: This question can be solved using the concept of lines in three dimensional geometry.

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A: Solution of given question is written in below steps.

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A: As per the rules we can answer only the first question and rest can be reposted.

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A: Given

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A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

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A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

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Q: Use R6 to determine the area under the curve for f(x) = (2-1) on [2,5].

A: Given that fx=1xx-1 To find : Area under curve of fx on 2,5Solution :

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A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Σ (²-2) for j=1 to 50. The summation equals

A: NOTE: Refresh your page if you can't see any equations. .

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A: A mug of beer chilled to 32 degrees, left in a 68-degree room,will warm to a temperature of…

Q: Solve DU 11 dx 4x+3 x³ +2x² + x

A: ∫4x+3x3+2x2+xdx=∫3x-3x+1+1x+12dx=∫3xdx-∫3x+1dx+∫1x+12dx=3lnx-3lnx+1-1x+1Add a constant to the…

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Q: Integrate (sinx + cos^2x)^3 dx

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Q: can you please write it clearly for better un

A: To convert the polar coordinate 5, π4 to Cartesian coordinates.

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A:

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A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

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A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

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Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

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A: Find the value of integral

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Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

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A: We have to find relative maxima and minima.

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A: Follow the procedure given below.

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A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

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Q: answer = Σ n=0

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A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

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A: To find the value of a and b and then the value of linear model.

Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

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A: We need to find ln(9.2)

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Q: In geometric sequence the common ratio is denoted by RO

A: