Determine the arc length L of the curve defined by the equation y = In(6x) over the interval 1 < x < e?. Write th 8. round.

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Q: Use a finite sum to estimate the average value of f(x)=x° on [0,2] by partitioning the interval into...

A: Let's find. 

Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: Prove the following identities. cos( - ) sin x/2 sin x sec x/2

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Q: Gordon is twice as old as Tony when Gordon was as old as Tony is now. The combined age of Gordon and...

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Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

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Q: 10. lim Ve+ 2-2

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Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

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A: Given query is to find simplified term for the expression.

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Q: Question Select your answer. 1 if r 4 4 16 does not exist 2 Answer

A: Topic = Limits

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A: Given : f(x) = 2coshx

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Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

A: Given query is to prove the identity.

Q: Prove the following identities. sin 2x csc x =

A: Topic:- trigonometry

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A: Given; fx,y=-x3+x2+2xy+y2-x-4y And The stationary point is: x,y=-1,3   We know that; If rt-s2&gt;0, ...

Q: et dx (9 + e2¤)

A: Integration   by subsitution technique 

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A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute ...............

Q: INTEGRAL CALCULUS ACTIVITY 3 GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solu...

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Q: s(VE + E dx

A: We want to integrate the given function.

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Q: Use substitution to evaluate the integral tan? x sec? x dx

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

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Q: Given the function f(x) = x° + 5x*, determine all intervals on which f is both increasing and concav...

A: Given :f(x)=x5+5x4To find: All intervals on which f is both increasing and concave up.  

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Q: 9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

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Q: Evaluate: O-0.05+j0.602 O -0.05-j0.602 O 0.05+j0.602 0.05-j0.602

A: To find: jjjj We'll use the formula: j=ejπ2.

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Q: dy by implicit differentiation. dx Find x?y3 - 12xy2 = 8 dy dx

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Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), - π/27<x< π/27 y y 3 3- ...

A: Here, to sketch the region bounded by the curves y=tan (9x) &amp; y=2sin(9x), -π27≤x≤π27

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Q: Find the gradient vector of f(x, y) = e®"y at the point (1, In(2)). 6 In(2)i+ 2j O 2i +j 2i + 2j 3 I...

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Q: 0 0 [1 0 1 0 0 1 01 а. Lo 1] [1 0 1 01 0 1 1 Lo b. 0 0 11 [1 0 0 01 0 1 1 C. 0 0 0 0 0 Lo

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Q: Question Select your answer. A certain radioactive element decays according to the ()' 39.60 formula...

A: Given  :initial No=5000 gramsR(t)=No12t25limt→175R(t)

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Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........