5={cj+ kn, u +vn): nez T={(x,y)EZ:157 x +107 y =- 157 x +107y=1 choose j,K, u,v EZ, such that S=T" choole 05,く107 and ー107C uEO

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A: We have to find the area of triangles and vectors.

Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

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A: We have to find the value

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A:

Q: Some body started at A(6, 0) and coordinate change by AX = -6 and AY : O Find its new position ? *…

A: We find coordinate of new position

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A: Properties of transpose says that the transpose of a product is the product of the transposes in…

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A:

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: IF x= t +t¯ AND y=tª+t^ y 1. FIND d? a.) a ct +t^) 6.) 2 Ct-ta) ース C.) 2 Ct+ 1- 七ス d.) MOME OF THESE

A:

Q: 2 s²+25

A: The following formula is used in finding the inverse Laplace of the given function.

Q: Evaluate: ſ csc³ 2B cot³ 28 dB O ( -) + C csc 28 csc 28 5 Gల్ల 28 csc 28 +C 6. 4 O -{( -) + c csc 28…

A:

Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

A:

Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

A:

Q: 22. Reflect in the x-axis. D 4+ 3- -6 -5 -4 -3 -2 F2 -2 4- -6- a. D'(-3, 4), E'(-6, 4), F'(-1, 0) b.…

A: When a coordinate is reflected about the x-axis then its y coordinate remains the same but the sign…

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A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

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A:

Q: Exercises 5,2 Q, Find dy/dx How 2 y= Csc x-9/+7 E y= CoSx + X_ COSX

A: To find the derivative of the followings. y=cscx−4x+7y=cosxx+xcosx

Q: 1. If i = [2,-4, −1] and v = [1, −2, 4] find: a) 30-u c) Find G, where F(2, −3, 4) and FG = 3v b)…

A:

Q: solve differtial eauatiun 6x dy +(61ny+5) ¿x =o

A:

Q: Integrate: - da 9x2+16 O In (3x + v9x2 +16) + C O In (3x + V9x2 +16) +C ㅇ tan ' (뚜) + C 0 tan1 (부) +…

A: Given ∫dx9x2+16

Q: Əw Əv y Find when u = 0, v = 0 if w=x² + Əw Əv |u= 0, v = 0 " x=4u-2v + 1, y = 2u + 6v - 1. =…

A: Consider

Q: Find ∂w/∂v, if w = 3x4-5y3+z5-10, x = 3u-4v, y=5u+2v, z = u+8v. Write in terms of the two…

A: Chain rule of derivatives

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

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A:

Q: Simplify (qq) to F 1. Select a law from the right to apply -(q→¬¬q)

A: We have to simplify the logical expression

Q: = x° + y*, ¤ = + u, and y = v – u². Find Your answer should be in terms of r, y, u, and v. dv

A:

Q: Suppose ū = (-4, 1) and ū = (0,4). Then: u+0= u - D= 0 - u= 4u= 4u – T0=

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Q: ue the differntial equahion 95. X-

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Q: q9

A: Finding the projection of u → onto v →:   projv →u →=v →·u →v →2·v →Here v=2i-2j-4k or (2,-2,-4)…

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Q: What meaning can be attached to this cross product: r the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

A: The cross product of two vectors A→ and B→ is given by; |A→×B→|=|A→|×|B→|×sin θ And the cross…