6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[ 0,3,5]

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A: Evaluate the integral

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A: Let's solve. Two vector a and B are given.

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A: We have to find the intersection of 3 planes.

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A: Using critical point find intervals in which function increasing and decreasing

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A: We know, ∫dxx-a=lnx-a

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: The answer is given below:

Q: 1. Given the function f(x)=2-4x+ -. Please find the intervals of increase or decrease, absolute…

A: SOLUTION-

Q: Integral Calculus

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A: A detailed solution is given below.

Q: 5. Find the residues of the following: a. 2-2 z(1-2) at z = 0; at z = 1

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A: Use partial fraction to evaluate the integral

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A: SOLUTION-

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Q: 2 7. A soup can of volume 700 cm³ is to be constructed. The material for the top costs 0.7cents/cm²…

A: We have to find the dimensions of the can.

Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v &amp; wP =xey2+yex2+exy2

Q: 6dx x - √ S 3√x²

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Q: Using the given geometric sequence find a7 3,0.3,0.03,0.003 a7____

A: topic- geometric sequence

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Q: Correlational designs have one independent variable and one dependent variable  true or false?

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A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny [the Low +¹Y2 ex+y dxdy 0

A: See the details solution in below

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Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: Consider the following equation f(x)=x²-2x+2 whose roots we seek with an initial guess of x-4. Fixed…

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