The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (5, 1) (x, y) = (

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A: While proving anything,our target is to reach the answer.Made changes to the step by constantly look...

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A: The given function,       fx=1x+4

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A: Gven points,A3, -2, 3B4, -4, 1C-2, -3, 1D5, 3, -4

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A: inverse of function domain range

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Q: (d) 5 (-1)" Vn +1 n=1 1 (e) Σ- nylnn n=2 n (f) 2 In Зп + 1 n=1

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A: Find the general solution for each of the differential equations given below. Y” + 2y’ + y = e^-1

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Q: 2. Consider the functions f(x) = x² and g(x) = VT. (a) Use linear approximation to approximate the v...

A: detailed solution mentioned in step 2 and 3.

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Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check you...

A: LetI=∫31-x2dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=3·∫11-x2dxUse the common integral:  ∫11-x2dx=s...

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Q: B. Provide a short proof. 5. Show that f cot 0 d0 is equal to In|sin 0| + C .

A: We know, d/dθ (sinθ)= cosθ ∫dx/x = ln|x|     

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A: Given that,  

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A: This question can be solved using the concept of maxima and minima.

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A: Answer is infinity 

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A: Given : i) (D2+16)y=tsint ii) (D2+D+5)y=tcos2t.

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Q: 8. lim xcot3x

A: Given; limx→0xcot3x So, We can also write as; limx→0xcot3x=limx→0x1cot3x=limx→0xtan3x   ...We know: ...

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A: u = g(m)  and  m=f(p, q)main function is of one variable mandm is of two variables.Hence,∂u∂p=dudm ∂...

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A: The n-th term of series is an=7n+17n2+310n

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A: Given problem:-     To find:- Determine whether each of the following series is convergent or diver...