Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) (2, 1) (4, 1)

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Q: (b) Evaluate the velocity vector and acceleration vector of the object at the given point. %3D %3D…

A: As you mentioned part b is solved

Q: Find r'(t). r(t) = 6 cos (t)i + 3 sin3(t)j + k r'(t) =

A: Let's find.

Q: 2" 5n+1 n=1

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Q: Find the following for the given equation. r(t) = ( + 6t)i + (t² – 6t)j %3D (a) r'(t) = (b) r"(t) =…

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Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

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Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

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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: 2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: n° 3. Determine whether the sequence a, - converges or diverges. If it n – 2n° converges, find the…

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Q: 11 Evaluate the iterated integral. JJ, J, (x² + y² + z?) dx dy dz A 5 в) з D 10 00

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Q: (1 point) Use the Divergence Theorem to calculate the flux of the vector fields F, = -Szi + 5xk and…

A: Find your answer below

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-4x+5, x=4, and…

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

A: Let's find.

Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 8. The ideal gas law PV volume, and temperature of a confined gas, where n is the number of moles of…

A: We need to prove the statement.

Q: Question 8 Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the…

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Q: Find curl (2z i + 3x j + 6y k). curl(2z 2z i + 3x j+ 6y k) = ( i )i + ( i j + ( i )k

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Q: Question 7 Use double integration to find the volume of the solid. 3 3x + 2y + 4z = 12 A) 6 B) 9 c)…

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

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Q: Find the area of the region inside the circle r = 24 sin 0 and outside the cardioid r = 8 + 8 sin 0.…

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Q: E(-1)n+1_2 Vn n=1

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Q: Use an iterated integral to find the area of the region. dy dx = y 81 7 5 4 3 2 1- 1 2 3 4 6 8

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Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

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Q: Use double integration to find the volume of the solid. ... 3x + 2y + 4z = 12

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Q: Find r'(t) r(t) = 6yEi + t²/ij + In[? }« %3D r'(t) = %3D

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. ex f(x) [0, 6] 1 +…

A: maxima minima

Q: Consider the following functions. f(x) = 4 sin x g(x) = 4 cos 2x Sketch the region bounded by the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

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Q: Consider the functions. f(u) = u³ + u g(x) = cos (x) Find the following function and derivatives.…

A: The given functions,fu=u8+ug(x)=cos(x)

Q: Question 2 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x2…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Using the substitution u = sin (x), or otherwise, find the exact value of %3D J sin° (x) cos (x) dx.…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) stk lim (ei + Sin(/)j + e…

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Q: - In (e) - In7 Inlt 1. IN7(€ "-1) 2. In( e") 3.In(녹선) 4. In(글e) 1/-

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Q: Find the approximate area under the curve of f (x) =cos (5) from x = 0 to x = TT, using 4…

A: Here, the interval [0,π] is divided into 4 intervals of the length of each interval is ∆x=π-04=π4.…

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 Vsin…

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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: The position vector r describes the path cof an object moving in space. Position Vector Time r(t) -…

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

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

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

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Q: Evaluate the following integral: |sec2 (z) tan (z) dz = 因团 +C Be sure to enter powers of…

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Q: 1. dt 15. y= 17. y 0 tan 0 d0

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 4 cos(t)i…

A: To find unit tangent vector at given parameter.

Q: Find the Taylor series centered at a = 0 for the following function: -7x f(x) = e 8. Answer: n=0 (Be…

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Q: Question 9 1 2 1 Evaluate the iterated integral. J, J. J. (x²+ y2 + z?) dx dy dz -1°0 0, А) 5 В) з 8…

A: The solution is given in the next step.

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 area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B c) 0.5 D 3

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Q: Express the area of the given surface as an iterated double integral, and then find the surface…

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Q: Use Power Series to Solve the following Differential Equations: y'' - y = 0

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