A S O Consi der Hhe folhning {(01), (-1,)}, B = [x]e - [;] %3D O find the fransi tion matria from B to B' %3D O Find the trami tion mahis from B' to B P= ® Verify that the fwo tramsition mafices ínverves of earh other. pp

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y…

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Q: Which of the following gives /₁ O 5tanh-¹ (5x) + C Otanh-¹ (5x) + C Ocoth ¹(5x) + C 5coth-¹(5x) + C…

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Q: 1. y=-5x + 1; (2, -1)

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Q: answers as needed. Type your tion set of |x^(2)+x|=6.

A:

Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

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Q: For the function f(x,y) = sin (3x − 7y), find of of dy of af and ?x ду

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Q: 6 uoi ion V 108r²y³ +xv/ 75y³

A: We have to simplify   √(108x2y3) + x√(75y3)

Q: Explain what it means if a' . b = 0

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Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: (1) Lin Ⓒ (-215) Irccd.instructure.com/courses/187394/assignments/4737343?module_item_id=14431338…

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Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…

Q: Use implicit clifteren tra fion to find * for the fol llving x*y+ 3xy-x = 3

A: The given equation is x2y+3xy3-x=3 To find: dydx

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.