Question 5 Find the surface area of that portion of the surface z = V4 -x that lies above the rectangle R in the xy-plane whose coordinates satisfy 0sxs1 and 0 sy s4. (А) п (B) 4n/3 21/5 (D) 7n

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Q: 2. Prove that the p-series converges for p > 1.

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Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

A: Given query is to find the derivative of the expression.

Q: 12. Find an equation for the tangent plane to the surface given by 2xy? = 2z2 – ryz at the point (2,…

A: We know that the equation of the tangent plane is: nxx-x0+nyy-y0+nzz-z0=0 Where n→-nxi+nyj+nzk is…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction to PQ

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Q: Use the gradient to find the directional derivetive of the function at Pin the drecton of v n(x, y)…

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Q: Use the Comparison or the Limit Comparison test to show convergence or divergence of each series.

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Q: The productivity of a major manufacturer of microwave ovens is given approximately by…

A: Given problem:- The productivity of a major manufacturer of microwave ovens is given approximately…

Q: ind lim f(x) for the given piecewise function. x-4 2х + 5 if x 4 E the limit does not exist, enter…

A: Topic  = Limits

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Q: sin° xcos xdx x cos'

A: We will use substitution method to solve this definite integral.

Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

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Q: Find the volume of the region enclosed by z = 1 – y? and z = y² – 1 for 0 < x < 21. V =

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

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Q: Use double integration to find the volume of the solid bounded by the paraboloid 2 = 9X- + y, below…

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Q: 8. 1) Use the Integral Test to determine whether the series is convergent or dive n' +1 n=1 Please…

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Q: (a) Select the correct choice below and fill in the answer box within the choice. O A. lim f(x) =…

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Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P (x) and…

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Q: Consider the limits. lim f(x) = 6 x-7 lim g(x) = -8 x→7 Evaluate the limit using the limit law for a…

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Q: Find the interval and the radius of convergence for the series n=1 n2"

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Q: Find curl(3z i+ 4x j+ 8y k). curl(3z i+ 4x j + 8y k) = ( )i + ( i )j+ ( )k

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

Q: In(v¤) dædy 6. 15. Calculate ry

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Q: Find the Inverse Laplace Transform of the following functions: 16 a. L4. s(s2-14) b. L4. (25-32)2

A: we have to find       L-1{16s(s2-14)}   we can re-write the function 16s(s2-14) =1614( -1s +ss2-14 )…

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A: We need to evaluate the following line integral ∫C-ydx+xdy Where,  C: y2 = 6x  from 6, 6 to 0, 0

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

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Q: The Taylor series for cos(x) centered at a = 0 is given by: (-1)",2n (2n)! n=0 Using this result,…

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Q: Find V x (V × F) if F(x, y, z) = 8xyj+7xyz k. V × (V × F) =

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Q: Question 6 Evaluate JJ xy dA, where R is the region in y = x2 R A) 13/7 B) 16/3 18 20 2.

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Q: Find the volume of the solid generated by revolving about the y- axis the region bounded by the…

A: Given problem:- Find the volume of the solid generated by revolving about the y- axis the region…

Q: For each of the following series determine if the series converges or diverges. 00 In(n) Σ n n=2 n3…

A: The given series,1. ∑n=2∞ln(n)n2. ∑n=0∞n3n4+1

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

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

A: To evaluate: ∮C5y2dx+5x2dy Let, L=5y2&amp; M=5x2⇒∂L∂y=10y, ∂M∂x=10x

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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: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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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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