4. 3x? ey dx + e dy C C: boundary of the region lying between the squares with vertices (1, 1), (-1, 1), (–1, –1), and (1, -1), and (2, 2), (-2, 2), (–2, –2), and (2, -2)

Q: Find symmetric equations for the line through (1, 3, -2) and perpendicular to both u and v, where u…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: (b) (c) Select the graphs above that represent a non-linear negative association between the…

A: Correct answer is (D) Graph (c)

Q: Determine the intersection of 3x – 4y – 5z = 0 with [x, y, z] = [3, 1, 1] + t [2, -1, 2].

A:

Q: 2. The general form of a cubic is p(x) = ao + a1x +a2x² + a3x³ %3D Suppose you are given the…

A: What we basically need to do in this question is interpolation which can be done by various methods,…

Q: find the point of intersection for the following 3 planes  x–2y+z+6=0 2x+y–z+2=0 2x+y+3z+2=0

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Q: √(x-2y)dA, R where R is the triangular region with vertices (0, 0), (3, 1), and (1, 3) ; : x = 3u +…

A: We need to solve integral.

Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

A:

Q: Determine the exact distance between the two skew lines r1 = (3, 4, – 2) + s (1, – 1, 2), seR and r2…

A:

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: 4. Find the coordinates of the vertices of the rectangle WXYZ with coordinates W(0, - 7), X(2, 2),…

A: Here we use the properties of transformation rules of function. In the dilation of a triangle we…

Q: The line of intersection of the planes x + y + z = 0 and x - y = 0 is

A: The given planes are..Find the equation of the line in parametric form.

Q: Find the solution(s) to the following system of linear equations: -3r + 2y + 2z = 5, - 3, —х — 4у +…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 2. What are the coordinates of point H? O (0, 2, -3) O (-3,2,0) O (2, -3,0) O (0, -3,2) D H y G ܠܢ F…

A:

Q: Determine the value of k for which these planes are perpendicular. T₁: [x, y, z] = [1 + 4s + kt, 2 +…

A: Concept to be used: If two planes are perpendicular, then the dot product of their normal vectors…

Q: [P] Draw a grap

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The plane z = Ax+By+C is to be "fitted" to the following points (XkYk Zk): (1,0,0). (1,0, -1),…

A: Let  S = ∑k=14 Axk+Byk+C-zk2  For minimizing S , we have  ∂S∂A = 0 ,  ∂S∂B = 0  and  ∂S∂C = 0…

Q: Select all lines that are parallel to the plane x+y+z%= 3. OF(t) = (1,1, 1) + t(1, 1, –2) OF(t) =…

A:

Q: x' = (4 + x) (1 - x + y), y' = (y - 1) (1 + x + ay); a > 0.

A: For the given system x'=(4+x)(1-x+y)y'=(y-1)(1+x+ay) ; a>0 To find the critical points and the…