Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the above none of them an and bn the above

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

A:

Q: Question 14 Find the area of the surface that is generated by revolving the portion of the curve y=…

A: Given: y=x2⇒x= ±y Since , we are dealing with x=1 to x=2, we will take the positive value Thus, x=y…

Q: Find the length of the curve, L. y? = 64 (r+ 5)* , 0 0

A: To evaluate the length of the given curve.

Q: 4. Under the usual addition 47Z/2021Z .

A: A detailed solution is given below.

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Directional derivative: D f = del f • unit vector of direction

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Volume

Q: (xy)=efr sin), Plo,0l Q(5,1)

A:

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

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Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) R (2, 1) (4, 1) A) 56 В) 67 с) 38 90

A: Explanation of the answer is as follows

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = t = 0 T(0) = N(0) =

A: Unit tangent and normal vector

Q: Find the center of mass of the given system of point masses lying on the x-axis. - 6, - 3, m,- 6 X1…

A:

Q: (c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point.…

A: When a particle move on a circular path , the direction of velocity of the particle along the…

Q: Find the area of the triangles, which the lines form with the coordinate axes: а. 5х-35y %3D15 b. 4x…

A: a) We need to find x and y intercept of the line, Put x=0 in equation 5x-35y=15 Then 5(0)-35y=15…

Q: Show

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Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

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

A:

Q: Find V · (V × F), if F(x, y, z) = 7e**i+9xe³j – eu=k. V·(V × F) =

A: Given thatF→=7exzi+9xeyj-eyzkto find ∇.∇×F

Q: Find the divergence of F(x, y, z) =(a -1 Y, y? + 1' 3xz2 + 2y ) at (2,0, – x COS

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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: Find the area of the region(s) enclosed by the curve y = |2x - 6|, the x-axis, and the lines x = 0…

A: Given: y=2x-6x=0 and x=4

Q: n/2 sine Evaluate the iterated integrals r cos e dr de 0.

A:

Q: Find the area of the region(s) enclosed by the curve y= |2x-6|, the x-axis, and the lines x =0 and x…

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy -162 -108

A: ∫02∫-162y2∫-108zyz dx dz dy∫-108zyz dx=(xyz)-108z…

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

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

A:

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

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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: A. The slope of one line is 0.7743 and the inclination of another line is 64.38°. find the acute…

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Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: To determine the volume of the largest cone having its circular base circumscribed about a face of a…

Q: Find the area of the region bounded by the graphs of f (x) = x³ and g (x) = x. A 1 B) 4 C) 0.5 D 3

A: Solution is given below:

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

A:

Q: V4-y? cv8-x²-y² Use cylindrical or spherical coordinates to evaluate the integral. JoJ Vx?+y? A 32…

A: To find the value of the given integral.

Q: Consider the following planes. 3x + 4y – z - 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A: Find the angle between the two planes..

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A:

Q: Use any method to simplify the complex fractloh. k+1 25k 3k - 1 15k

A: Use the fraction rule; abcd=a·db·c   The given expression is: k+125k3k-115k

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: Given

Q: Evaluate the double integral. 7x*sin y²dA; Ris the region that is bounded by y = x³, y = -x³, and y…

A: double integral

Q: the first quadrant bounded by the graphs of y = V16 – x², y = 0, andx = 0 is revolved about (a) the…

A:

Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: Question 11 /4-x² c 3-x²-y² STS xdz dy dx Evaluate the iterated integral. J. J. -5+x²+y? 0, A)…

A:

Q: Question 20 Evaluate JJ xy dA , where R is the region in y = x? R (A) 13/7 (в) 16/3 18 D) 20 2.

A: We have to find the area.

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

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

Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

Q: Determine the work done by the constant force. The locomotive of a freight train pulls its cars with…

A: Given data÷

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Here, to maximize the function f(x,y,z)=xyz using the constraint g(x,y,z)=x+y+z-6=0...(1)

Q: Find the area of the region enclosed by the curves y = x² and y integrating with respect to y. = 6x…

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Q: Use Green's Theorem to evaluate the line integral. | 2xy dx + (x + y) dy C: boundary of the region…

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Q: Question 16 Use double integration to find the volume of the solid bounded by the paraboloid z = 9x…

A:

Q: Find T(t) and N(t) at the given point. r(t) = 3 cos(t)i + 3 sin(t)j + tk; t= 2

A: