The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t² +374t+15. After how many seconds is the ball falling at 120 feet per second? sec. If necessary, round to two decimal places. If there is more than one correct answer, separate them with commas.

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Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

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A: I have stated the used formulas in the solution

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A: to evaluate: -431-3

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A: Given :L-13ss2-4

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A: Given.

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A: Two vectors u and v are orthogonal if u.v =0 .

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Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

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A: Here we have to find the area bounded by the curves.

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Q: valuate £₁² (2x + 3e* − 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23

A: We will solve the problem.

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Q: family

A: Please refer to the image below

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Q: Q1: Solve the following PED: ди ди = дı ?x² ; if u (x, 0) = 2x when 05x5 05x52

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Q: 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258 (c) 82 (d) 734…

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Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…

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Q: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F =…

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A: find value of  sin(255) +sin(195) here this is trigonometric function  lets find value of this

Q: Find the volume of the solid generated by revolving the region bounded by y = 2x, y=0, x=0, and x =…

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Q: 4. [7.4 & 7.5] If... a = i +3j - 2k, and b=i-3j-k, and c=2i+j-k, then... a) Determine (ā- 2b) b)…

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Q: ind the general Solution of the of the following differentia yu-5y" +4y=013 y=0

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Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

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A: The given integral is ∫sinx2+cosx2sin2x2 dx=∫1sinx2+cosx2sin2x2 dx=∫cscx2+cscx2 cotx2…

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