2 dt, find t Use the fundamental theorem g(r) () dt Exercise 11 in section 4.4 V. Substitution rule Evaluate34+3d.r cos(1/r Evaluate(/) dx Evaluate sin() cos(z) da.

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Q: S Jiet'. dt Hint: use +he fundam ental theorom Find dy if dx y = of Calculus

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Q: sin 3t dt J cos 3t – 1

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Q: (a) [(0.6e15 + 4t 3t² +03-10-01 at 4t4-3t3 + 0.3 _10t 1.5 -0.1 2t3 (b) Evaluate…

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A: Use trigonometric substitution method for solving the integral.

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Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In…

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Q: I. Find dy -and simplify the result whenever possik dx 1. у%3Dsec3 2х - 3sec2x 2. y = sin (x + 4 )…

A: Given; 2) y=sin(x+4) cos(x-4) 3) y= -3 cot5(x/3)/5 + cot3(x/3) -3cot(x/3) - x.

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Q: ACTÍVITY 2: Differentiate the 1) y = -2 sin 2) s (t) = - WE

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Q: 3. Solve the IVP: siny(x + siny)+2x²cosy y'=0; y(-1)= π/2 (Subst. first and then Bernoulli's)

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Q: ♥ дzu ахбу = сезх созу, Ans: u(x,y) = sinx siny + x² + 2 cosy - #2² X 1 бу исx;#) =X бx U(x,п) =X,…

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A: Topic:- derivatives

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Q: 4 + cos t -dt 1 – sin t

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Q: Integr S√₂-cod -1 ation fuctions. 1-cos²x) dx Not of the above B 1 O

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Q: 1. Integrate using an appropriate method. [2si 2 sin³(r) cos² (r)dr

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.