It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find the force constant of the spring.

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A: We can find the correct option from the answer as below.

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A: First we take log both sides and then differentiate both sides with respect to x.

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Q: / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0 O x = 3 tan 0 O None of ...

A: The integration of the integral is√(16-x2).

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A: This question is based on differentiation.

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A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded ...

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: y' + 3y = 5e2x – 6; y(0) = 2

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

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A: We have to find the volume generated by rotation the curve about y axis.

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Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

Q: 3) Using BAIRSTOW'S METHOD, solve f(x) = 2x* + 2x2 - 5.5 = 0 Use 4 decimal places. Required % Error ...

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Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

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A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...

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A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by    ...

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A: Explained below

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A: Explained below

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Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

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Q: f(x) – f(1) If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:23 PM

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A: Here we can solve the integration as below

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Q: dx (x+1)v2x2+4x

A: Given: I=∫dxx+12x2+4x   We know that; ∫1x2+1dx=tan-1x+C   So, We can also write as:   I=∫dxx+12x2+4x...

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A: This question can be solved by first integrating the given function and then putting the limits to g...

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A: Topic = Derivative

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A: This question is based on application of derivative .

Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

Q: f(x)=x^2+5x and g(x)=3-x^2 find f(g(7)).

A: