0 0 7 Let A = u = 14 and v = Define T: R3→R³ by T(x) = Ax. Find T(u) and T(v). a - 28 b 0 0 Select the correct answer below and till in any answer boxes within your choice. (Simplify your answers.) В. T(u) = O A. T(u) =

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

A:

Q: a. y" + 2y + y = 2t² e¯¹

A:

Q: Find the linear approximation to z = 2 + 22² + ½ at (−3, 2). y² 9 4

A: z=2+x29+y24 at (−3,2)

Q: -1 -1 0 4 0 2 x 4 w A = B = and C = 1 2 -1 -2 -1 zr 2 А - В + С

A:

Q: When x = 2s+7t, y=5st and z= 3.x2 – 3, in the form of s and t. express

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Q: Eliminating the parameters for x = 3t - 4 and y = 5 — t yields y = x - 10 3 True False .

A: Given parametric equations:- x=3t-4 and y=5-t

Q: 16. (T/F) If A and B are 3 x 3 and B = [b₁ b2 b3], then AB [Ab₁ + Ab₂ + Ab3]. =

A: Given: A and B are  3×3 and let AB=Ab1+Ab2+Ab. To Find: Whether the following statement is true or…

Q: K dt ²-10t + 29

A:

Q: 1 ·5² 6² (+2²³ +²² dx dy. (1 0 0 3. Compute

A: 3. Given that the double integral is                          ∫0∞∫0∞1(1+x2+y2)2dxdy.

Q: lim 7e²-7etth 4h h→0 A B C D -7e 7eº -7eª et

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Q: 5. Save for x T 6. Salve for y. (25y-5 (20x)

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Q: A = B = 1 8 The linearization at a = 0 to √9+ 5x is A + Bx. Compute A and B.

A: Linearization  of f(x) at a is given by  L (x) = f(a) + f '(a)(x - a)

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.