Transform pentagon BEARS according to (x, y) → (x +6,y+B). Write the coordinates for pentagon B'E'A'R'S' and sketch pentagon B'E'A'R'S' on the same coordinate plane

Q: ARST Is translated so that point R (-2, 1) Is mapped to point R' (2, -4). Which ordered pair best…

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Q: #5 What are the coordinates of A' if the figure is reflected across the y axis? B D а) (2,3) b)…

A: The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point.

Q: Integrate counterclockwise dz, C the circle with z2 + 12z + 35 center –5 and radius 2. dz z2 + 12z +…

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Q: fy the notation that shows the transformation of triangle SML onto triangle S'M'L' to show the…

A: Explanation and solutions is given below....

Q: Rectangle KLMN is translated -5 units vertically and then reflected over the y-axis. What…

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Q: Verify greens theorem form 1 for F=x^3i+yj and c is the circle x^2+y^2=1, oriented anti clockwise

A: Find ∫CFdr, the line integral of F, where C is the circle x2+y2=1, oriented anti clock wise…

Q: Find the distance between two planes if they are parallel x+2y+3z=6 and 2x+4y+6z=5

A: Solution:GIvenx+2y+3z=6  and 2x+4y+6z=5To find the distanceFormula:If θ=0°  then the planes are…

Q: Compute (47 SK) - dA, where s is the square of side length 3 perpendicular to the e-axis, centered…

A: According to question given that∫S(4i→+5k→).dA→Where S is the square of  the side length  3…

Q: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: 5. Compute the angle between the two plar

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Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: Please

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Q: If B (-2, 6) is rotated 270°, what are the coordinates of B'? O B'(2, 6) O B'(-6, -2) O B'(-6, 2) O…

A: In first quadrant x, y both are positive In second quadrant x is negative y is positive In third…

Q: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle…

A: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle.

Q: Integrate counterclockwise dz, C the circle with z2 + 16z + 63 center –7 and radius 2. dz z² + 16z +…

A: Use Cauchy Residue theorem to evaluate this integral.

Q: Given: AB with coordinates of A(-3,-1) and B(2,1) A'B with coordinates of A'(-1,2) and B'(4,4) Which…

A: Coordinates of AB is A-3,-1 and B2,1. Coordinates of A'B' is A'-1,2 and B'4,4.   Consider the A and…

Q: 24 Resolveu = [8, 3, 5] into rectangular components, one of which is collinear with v = [3, 1, 2].

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Q: A rectangle ha verices at P (6, 6), Q (6, -6), R (-6, -6) and S (-6, 6). The origin is the center of…

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Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

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Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: B': 3. Trapezoid FGHI with verlices F(-5,-2), G(-2,-2), H(0, -6), and (-8,-6): y-axis F': H: G: I':

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Q: The axes are rotated through an angle of л/3 in the anticlockwise direction with respect to (0, 0).…

A: The axes are rotated through an angle of   in the anticlockwise direction with respect ot (0,…

Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…

A: Here I am attaching image so that you understand each and every step.

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.