LU20 Quiz 13.1 (page 5 of 5) A robot fires a tennis ball to protect itself from an incoming baseball. The trajectory of the tennis ball shot from the robot is given by r(s) = (10- 20s, 10V 3-20V 3s, 15s - 5s2) the position of the robot, and the baseball has a trajectory given by b(t) = (5t, 5V 3t, 10t – 5t2), t> 0 , where r(0) %3D At what time to t0 should the robot fire the tennis ball so that it collides with the baseball? Select one: a. 1 to %3D b. to = 2 C. to = 3 %3D d. to = 1 e. to

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Q: Which one is the general solution to the equation D(D+ 1)(D+ 1)y= 0? y = C1x + C2e¯ª + c3e* y = c1 +…

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Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

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Q: Question 1.) Q R. 2x-16 15у-10 3x+9 Бу+90 T. Find the Value of x and y.

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A: Given that:To find: The value of x.Formula used:

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A: given vectors

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A: a). b).

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Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: Ã = 2ē, +3ē, – ē,, B = -3ẽ, +2ē, +ēz, C = ē, + ē,+ē; ve Ď = ē, – 2ē, – ē; Āx B × Č = B(Ā.C) – Č(Ā.B)…

A: We use scalar and vector product for this proof

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A: Given vector, v = (−2, 1), w = (2, 2)

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Q: Determine all solutions of differential equation y' + ysin x = SIN 2x

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Q: (1 point) Calculate dif where r is variable, and R and V are constant. dP dr P V²R (R+r)²¹

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Q: ..=A+B Ā +B al. B = 2ī + 2j - 2K 3Ā = -i- 3j- k US 1/

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Q: AB6

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A: We have two equation of line. L1=1, 2, 3+n2, 5, -6L2=5, 7, -7+r1, 5, -4 Here,…

Q: T1 + x2 2x3 + 3x2 x1+ x2+ Tx3_ y1 Y2 %D Y3

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Q: Example :- Salve the hallowing equations:-

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Q: Q3/ If Ā = -3i + 2j + 5k, B = i + 2j - k and C = -i-j-2k %3D find (AXB). C

A: Let's see the concept of dot and cross product. Say xi+yj+zk and ai+bj+ck be two vectors.