"Determine the area of the triangle in R2 with vertices: (−1, 4),(3, 2),(0, 1)."

Q: Calculate (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

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Q: Find the area of the playing field described byR: -2 ≤ x ≤ 2, -1 - √(4 - x2) ≤ y ≤ 1 + √(4 - x2),…

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Q: ..... A= -1 1 is diagonalizable. Select one: True False

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Q: abc and dbf are vertical angels, with m abc=4x and m dbf= 96x-12)

A: Here we find the abc and dbf are vertical angels.

Q: (x-0) (x- 0) Vertex Form: f(x) = (x+ 0) +0 +.

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Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: What is m22 in this parallelogram? 2 50° 115° A 115 © 15 1 B 50 2

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Q: (Vx – 1)5

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Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

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Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

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Q: Compute (2i + k) × (3j + 5k).

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Q: If z1 = 3 + j2 and z2 = 5 – j3 , what is the simplified form of z1 z2 ?

A: We know that the rectangular form of a complex number is written as z=a+jb where a and b are real…

Q: In Z3×U3, Find the order of (1, 2). Show your work.

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Q: In the form y = mx + b,what does m represent? What does b represent?

A: There are different forms of a line which represent same line but in different forms depending upon…

Q: Calculate f (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

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Q: Q1:- Draw the following figure in board its’ sides are (25×25), note the figure is start from the…

A: Note:- 1. If we move vertically (up or down) then y-coordinate will change. 2. If we move…

Q: Write the standard matrix for a R² R² linear transformation that rotates points radians about the…

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Q: The algebra method of FOIL multiplication is illustrated geometrically in the drawing. Use the…

A: The area of the rectangle A=lw  unit2 where l is the length of the rectangle and w is the width of…

Q: e.) Complete the table: Triangular | The same as adding the number Each staircase takes up half of…

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