и + 10- дхду c) 3. + 3- = 0 dx2 ду? reduce this Hyperbolic PDE to canonical form

Q: The image of (-2 , 5) under reflection y = -x followed by translation with translation vector (-3 ,…

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Q: Calculate the distance between the points J (-7,0) and L= (-2,-4) in the coordinate plane. Give an…

A: Given,            Two points J(-7,0) and L(-2,-4) in coordinate plane we need to calculate distance…

Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.

A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…

Q: What must be value of X so that B is diagonalizable?

A: A matrix A can be diagonalized if there exists an invertible matrix P and diagonal matrix D such…

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

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Q: In Exercises 39-48, find a parametrization of the curve. 39. The vertical line passing through the…

A: Given:         Vertical line passes through the point (3,2,0)

Q: What is meant by scalar multiple?

A: Let V be a vector space over the field ℝ. Take u,v ∈V.

Q: sketch y+3x =9 in two dimensional and three dimensional space

A: sketch y+3x =9 in two dimensional and three dimensional space

Q: Describe 2-dimentional vector addition for any scenario? Put your best example over here.

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Q: Determine the set of points satisfying the condition described by Iz – 2i| + |z + 4i| express in the…

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Q: What kind of conic section is given by the quadratic form ? -11x,2 + 84x,x2 + 24x,2 = 156 Transform…

A: Given Quadratic Equation is, -11x12+84x1x2+24x22=156 Matrix Representation form is, A=-11424224 Find…

Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =…

Q: Find the orthogonal trajectories of family of hyperbola with center at the original and the length…

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Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: Write down the general solution of Ax = b in parametric vector form.

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Q: Find a non zero unit vecor î that is orthogonal to u1= (1,2,1) and Uz= (2,5,4) in R³.

A: The given vectors are u1=(1,2,1) and u2=(2,5,4) in R3

Q: Describe the relationship between two planes in space.

A: Given: Two planes in space. To describe: Relationship between planes in space.

Q: What are the new coordinates of point M (-8, 3) after a rotation 180° counterclockwise? • (8, -3) •…

A: We find new point after 180 degree rotation counterclockwise.

Q: Find the centroid of the triangle whose vertices are at points (3,4). (6.-9) and (6,-2). asap pls

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Q: Identify and sketch the quadric -- = 0 3 2 3 surface z 2

A: For the solution of the problem follow the next step.

Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

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Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it using…

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Q: Find a non zero unit vecor û that is orthogonal to u1= (1,2,1) and Uz= (2,5,4) in R³.

A: Cross product of two vector is perpendicular to both vectors.

Q: Suppose that a parametrization for the solution set to the equation Ax = b is -27 2 -3 + x2 -4 + x3…

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Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Classify the equation yʻuxx + 2xyuxy + 2x-uyy + xux = 0, and reduce it to canonical form.

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Q: The terminal point of the vector v = 3i -j+ 5k with initial point (2, 5, -5) is Do not leave any…

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Q: What is the image of the point (4, 0) after a rotation of 90 counterclockwise about the origin

A: Under rotation 90° counter clockwise about the origina point (x,y)→(-y,x)Hence (4,0)→(0,4)

Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

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Q: 10- -10 -8 -6 4 4 6 8 10 -10- 2. 2.

A: Given query is to find distance between two points G and N.

Q: Find a parametrization for the line SEGMENT between (- 5, 7, 6) and (2, – 6, – 9). |

A: Parameterizing a line segment, which joins the points (x1,y1,z1) and (x2,y2,z2), helps in obtaining…

Q: What are the new coordinates of the point (-10, 10) under the dilation (x, y) (4x, 4y)? O (40, 40) O…

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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.

Q: Does the plane x = 5 have a trace in the yz-plane? Explain.

A: Given: The plane is: x=5 We have to determine the given plane is trace in the yz-plane and explain

Q: Compute the order of each element in the Quaternions, Q8. Show your work.

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Q: 0,change from poler to Cartesian Co-ovdinate VE-2- COSE9

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

A: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

Q: Write the equation of the plane passing through point (3, 8, 3) that is parallel to the xz-plane.. X…

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Q: Sketch planeglven by Iz-31 = 1Z + lomplen the Cunve in the |ス-3| - |N+3i| 2. 2. 2. =フナ

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Q: What are the projections of the point (-9, 7,-8) on the coordinate planes? On the xy-plane: On the…

A: We can find the answer as below.

Q: How do I find the dot product of v=-sqrt3i-j, w=-i-j

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Q: Find four roots of equation z^4= -8-i8 v3 in cartesian form

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Q: Write the equation of the plane passing through point (3, 8, 3)| that is parallel to the xz- plane..

A: Given: A plane passes through (3, 8, 3) and is parallel to the xz-plane. To Find: Equation of plane

Q: A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are…

A: Given : from the data given above  the graph of the parabola is:

Q: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th

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Q: What coordinate system is suggested if the integrand of a tripleintegral involves x2 + y2?

A: Given: The integrand of a triple integral involves x2 + y2

Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…

A: