The integral that represents the arc-length of the curve y = In x, xE [2,3] is: %3D 3 x2+1 dx. Vx2+1 dx. e2 B) C) 3 Inx)/x²+1 dx. D) Vx2 + 1 dx. E) Vezy + 1 dy.

Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

A: x=5t-9y=12t-3

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Q: Consider the function y = 8x + 7 between the limits of x = 3 and x = 7. a) Find the arclength L of…

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Q: we draw a tangent line on y=/25 –x² at x = -3. 14 - find the slope of this tangent line. O A) 2/3…

A: To find- slope of the tangent line.

Q: Find a parametrization of the curve ²/3 + y²/3 = 1 and use it to compute the area of the interior.

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Q: Find the sketch of the level curve flx, v)-c form and f(x.y) 100-x2-y and c- 0.

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Q: Find : ( 39 - Sincm) dx +(2x*) dy when C is the boundary of the limited area by curvess y= e* and in…

A: Given that I=∫c3y-sin x dx+2x2 dy                                   ……(1)   Boundary is given as…

Q: 4.) evalnate the integral dx aresinx a. WI-Y b) S x arctanx dx

A: We have to solve

Q: Find the length of the arc of the curve-y = (x − 2) = from x = 0 to x = 6

A:

Q: Find the sope to the tangent Iine of the equation ,-y +ear (0,3) Hirt perform impl cit…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: find enclosed by following curves area Oくx(2て (a) 4= Cog x ;y=2- Cosx ; (b) y = X Sitx? Recall…

A: (a) y=cos(x), y=2-cos(x) Lets graph both equations using graphing calculator Area =∫abupper…

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Q: At the point (a, b) the curve T =t-4t, y=t2 +2t, t eR has a vertical tangent line. What is the sum a…

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Q: Consider the function y = 4x + 3 between the limits of x = O and x = 7. а) Find the arclength L of…

A: We will use the following formulas to solve the both parts arc length of y=f(x) between x=a and a=b…

Q: Find the arc length of the curve x = 5y³/2 from y = 0 to y = = 4. Length= =

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Q: Find the arc length of the curve x = Length: = → 5y³/² from y = 0 to y = 4.

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Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

A: