Find c₁ and c₂ for the inner product of R² given by (u, v) =11V1 + C242V2 such that the graph represents a unit circle as shown. (C₁, C₂) =

Q: Find the cross product a x b. a = 5j 6k, b = −i + 2j + k Verify that it is orthogonal to both a and…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Question 2 > Two solutions to xy''+ y' = 0 are y1 = ln(6x), Y2 = In(7). %3D a) Find the Wronskian. W…

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Q: Evaluate I = f(sin z + 5y) dx + (3x + y) dy for the nonclosed path ABCD in the figure. I D B A=…

A: ∫Csinx+5ydx+3x+ydy A=0,0, B=2,2, C=2,4 D=0,6

Q: b) Find the centre of D8. What about the centre ofD,, ? What is the centre of Dn?

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Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: et D be the triangle with vertices (0,0), (1,0) and (0, 2). Compute ffp (e2y + 1) dA.

A: Given is the triangle D with vertices 0,0,1,0,0,2 The objective is to evaluate the integral ∫∫D…

Q: Find the value of β for which w =〈−2, β〉 is parallel to v =〈4, −3〉.

A: Two vectors are parallel if the angle between them is 0 or π. That is, the vectors are pointing in…

Q: Evaluate I = f(sin x + 2y) dx + (8x + y) dy for the nonclosed path ABCD in the figure. - D с B A =…

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Q: Let v = (3, 0, 0) and w = (0, 1, −1). Determine u = v × w usingthe geometric properties of the cross…

A: Cross product: more formally called the vector product a way of multiplying two vectors and produces…

Q: Write the two equations for the Bezier spline determined by the four points (2, 1), (4, 7), (6, 3),…

A: To Write: The two equations for the Bezier spline determined by the four points 2,1, 4,7, 6,3 and…

Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

A: Here we are given a 3d surface S by the following equation : 4x2 - (y-3)2 + 4z2 = 4 And we have to…

Q: let R = (1, 4, 3). RÓ has components (4, 1, 1), and Find the point Q such that v = sketch v.

A: Given: The components of vector v=RQ⇀ and  R= (1,4,3)  To find  Q and sketch v

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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Q: The cross product of A = 4i + 2j with B is zero. The dot product of A •B = 30. Find B.

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Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: 1. If 4 = xy i+yzj+zxk, find curl4 and curl curl A at points (1,2, –3).

A: Given that A = xy i + yzj + zxk and find curlA and curlcurlA at point (1,2,-3). Here i attached…

Q: Determine the area of AABC if A = (2, 1), B = (5, 3), and C is the reflection of B across the x…

A: Given: A triangle △ABC, with vertices are A=2,1, B=5,3, and C is the reflection of B across the…

Q: Find the area of the triangle with vertices O (0,0), P (6√3, π / 6), P (12, π / 3) on a plane formed…

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Q: Evaluate I = f(sin : I = y D A C B . x + 3y) dx + (7x + y) dy for the nonclosed path ABCD in the…

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Q: Consider the parallelogram with vertices O, A, B, C, with vertex B opposite O, where O = (0, 0, 0),…

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Q: Evaluate ([cos (x – y)sin(x+ y)dA, where R is the triangle with vertices (0,0), R (-1,7), and (7,7)…

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Q: Let r be the number of regions in a plane diagram of a 3-regular connected planar graph. Let v and…

A: Given : 3-regular connected planar graph

Q: R] [CLO 8] Give an example of a point in Quadrant III of the rtesian plane.

A: we will find the required.