Express the iterated integral as an equivalent integral with the order of integration reversed. r36 rd 5e e dy dx → dx dy NOTE: Enter the exact answers. a d = f (x, y) ||

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 7 cos(t)i + 3 sin(t)j+…

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Q: Determine the area of the region enclosed by y=x^2 and y=x^1/2

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Q: 55-58 Use the properties of integrals to verify the inequality without evaluating the integrals. 55.…

A: Let's find.

Q: Find the surface area of that portion of the surface Z = 4 -x that lies above the rectangle R in the…

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Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

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Q: Sketch the region enclosed by the curves and find its area. у %3 сos 9x, y —D 0, х - x = 18' 9 NOTE:…

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Q: Sketch a single graph of a function f which satisfies all of the following sign charts for f, f',…

A: We need to draw graph.

Q: Find the e v

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Q: Evaluate the iterated integral. yz dx dz dy 45 в) 34 47/3 D) 5

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Q: for the given path. C: x = 2 cos(8), y = sin(@), o se s 27

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Q: Зху dx + 4xy dy %3D i 63

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Q: 10. y = 1 11. x' +xsin y = ye" 12. In(x+ y) = tan (xy) sin

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Q: Find div F and curl F if F(x, Y, z) = x°i – 4j + yzk. div F= curl F=

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Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

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Q: dy Solve the derivative dx for the function: x = e'sint ; y = etcost

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Q: Find div F and curl F if F(x, Y, z) = xz°i+ 2y°x²j+ 2z²yk. 6 div F= curl F =

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: Evaluate I| xy dA where R is the region in y = x2 A) 13/7 B) 16/3 18 D) 20

A: We have to evaluate the integral.

Q: For the curve given by r(t) = (5 sin(t), –2t, – 5 cos(t)), Find the unit tangent T(t) = (| Find the…

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Q: H.W (5) Solve the following differential equations of (x'+y')dx+(2xy cos y)dy phee

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Q: r(4) (arcsin(t), arcos(1),0

A: Given: rt=arcsint, arccost, 0   As we know that; ddxarcsinx=11-x2ddxarccosx=-11-x2

Q: Finden- un) andrn - in twe dferent mays r(t) -n+ se's - e'N, wt) - t'k (a) re) - uch) () Find the…

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Q: Evaluate the definite integral. 9ti +3t'j + Vtk) dt

A: The given integral,          ∫-119t i+3t3 j+t3kdt

Q: Evaluate the integral by choosing a convenient order of integration: « сos(хy) сos1"(тӕ) dA; R —D |…

A: Given

Q: If f(x) = cos(2x) then find II f (t|4)

A: Given query is to find the Indicated derivative.

Q: 27. | (u + 2)(u - 3) du 2+x 29.

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Q: Find the area of the region inside the circle r = 12 sin 0 and outside the cardioid r = 4+4 sin 0.…

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Q: Find the interval of convergence for the Maclaurin series expansion for f(x) = e".

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Q: [r(t)xu(t)] , in two dilferent ways Find CHE).t)] and rt)- costi + sintj +tk, u(t)=j+Ek dt (i) Find…

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Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: [7 -3] A = 4 6 B…

A: We know that for a matrix A=abcd=ad-bcA=7-346=7*6-(-3*4)                       =42+12…

Q: Find div F and curl F if F(x, y, z) = x°i – 2j + yzk. div F= curl F=

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Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y= 0, y = 7+a*…

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Q: Find V (V x F) if F(x, y, z) = 5 sin xi + 9 cos(x – 2y)j+ zk. V. (V × F) =

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Q: 22. The power series £4, (x – 3)" converges at x = 5. Which of the following must be true? n=0 (A)…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 6. Find the length of the curve r(t) = t'i – 2/2tj + (t – 1)k for 0 st<1. |

A: To find the arc length of the curve rt=t2 i-22t j+t2-1 k for 0≤t≤1.

Q: Find div F and curl F if F(x, y, z) = x'i – 3j + yzk. div F= curl F=

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Q: 11. Calculate the directional derivative of the function f(, y, z) = xyz at the point a (-1,0,2) in…

A: See the answer below

Q: R be the region bounded by the curves y = 10 − x^2 and y = x^2 − 8x. Set up, but do not evaluate,…

A: Given query is to setup the integral for area .

Q: r'y'y'+ xy' = 1

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Q: Use a triple integral to find the volume of the solid. The solid bounded by the surface y = x' and…

A: Solution:

Q: Let I be the flux of G = (2e", 4x°e*“, 0) through the upper hemisphere S of the unit sphere. (a)…

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Q: Evaluate the definite integral. (9ti + 3+j + Vik) dt 9ti + 3tj tk dt

A: Topic = Integration

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Evaluate the line integral (6x + 8y)dx + (3x – 3y)dy along the curve C: x = 4 cos t, y = 8 sint…

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Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

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Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

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Q: y+1 - Z 4. Find the distance between the lines = z and x = 3 %3D -2

A: topic- distance between lines

Q: Evaluate the line integral-ydx + xdy along the curve C: y? = 21x from (21, 21) to (0,0). NOTE: Enter…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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