Find the area of the surface generated by revolving the curve about the indicated axis. y = x²,0 ≤ x ≤ 1. y-axis O (1+5√3) 6 5,5 O (5+5√5) 6 π T O none of the other choices O (-1+5√3)

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A: let D=∫123lnxxdx

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Q: . Find the length of the segment indicated. Round to the nearest tenth if necessary. 49 7

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A: What present value amounts to $358,312.09 if it is invested for 5 years at 16% compounded…

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A: an = (-1)n18/n2

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A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: 3. For each problem, find the area of the surface obtained by rotating the curve about the given…

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Q: Determine and sketch the domain of the function f(x,y)=√xy.

A: f(x,y)=√(xy)

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Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

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A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

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Q: 4. Find the distance between the planes: 4x+3y-2z=20 and 4x+3y-2z=-11. a. Find any point P on the…

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Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

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Q: 40. S™ cos t e sin 2t dt

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

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A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

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Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

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Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

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A: Area below the curve is the definite integral of the curve in given limit of region

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Q: A. Use the chain rule to find and as functions of x, y, s and t. Əs Ət əz Əs əz Ət = B. Find the…

A: We have, z=(x^2*sin(y)), x=(5s^2−3t^2), y=(−2s*t)

Q: 9. Give an example of a spreadsheet formula that uses cell references and the most efficient formula…

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Q: 2. (By partial fractions} Answer: In |x|- 1 x+1 +C ·x² + 3x + 1 x(x + 1)² dx

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Q: 11. Let y = 2x² - 5. Find the differential dy when x = 3 and dx = 0.01.

A: given y=2x2-5

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A: Let r is the given vector.We can see that given vector is passing through the point (-7,2) and…

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Q: SLO A. Evaluate definite and indefinite integrals graphically, numerically, and analytically, using…

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Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

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A: We have to find the equation of plane determined by the intersection lines.

Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: - y=t? –t, t = 2x2+1, what's the dy dx for x=1?

A: We know that the derivative of x^n=nx^(n-1)

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Q: Graph the function and then find the specified limits. If necessary, state that the limit does not…

A: To graph the function and then to find the specified limits. fx=4x-4 To find limx→1 fx and limx→-1…

Q: 1. In three-space, find the intersection point of two lines ₁ = (–1,1,3) + t(1,2, −2) and r₂ =…

A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

Q: Find an equation of the plane passing through the three points given P = (4, 2, 9), Q = (6, 7, 18),…

A: We have given three points as P = (4,2,9) Q = (6,7,18) R = (11,8,12)

Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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