In differential geometry give me example of covariant tensor and contra variant tensor.

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 1, 1) in the direction…

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Q: 51 s Two forces F₁ and F₂ are applied as shown in the figure. The resultant R has a magnitude of…

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Q: Tensor Auv is type (2 0) and tensor Wv is type (0 1). prove that AuvWv is a tensor of type (1 0)…

A: It is given that, Auv be tensor of type 2,0. Wv be tensor of type 0,1. it is known to us that if A…

Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

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Q: How do you find the stable vector? P=  1/4 3/4         4/7 3/7   ---I understand how to create…

A: Given Matrix , P=14344737 We need to find a stable vector X ,which satisfies PX=X and X =AB…

Q: '. Consider the lines L1 and L2 in R3 given by the vector equations L1 :0 = (2,4, 4) + t(4, 1,5) and…

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Q: For each problem, calculate the directional derivative in the given direction and the gradient…

A: z=x2-6y2  To Find: Directional derivative and gradient vector at P(7,2) in the direction of  a)…

Q: Which vector is collinear with [2, -3]? [2, -6] O [-4, 6] O(-2, -3] O [12, 18]

A: We have to find the vector

Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

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Q: Find two linearly independent vectors perpendicular to the vector -- = ? 5 5

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Q: True or False? O True O False The equation A = bis homogeneous if the zero vector is a solution.

A: Given the statement, the equation Ax→=b→ is homogenous if the zero vector is solution. To determine…

Q: Find the vector equation of the tangent line to F(t) = 2 (el-t) In t i+ tan-tj+ k at cos(t m) the…

A: Answer is mentioned below

Q: Find a vector of norm 5 in the direction of the vector from the point (1, −2, 1) to the point (2,…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.