Integrate: Stan? (3x) secº (3æ)dx ес

Q: 1. Write each of the following explicitly. (a) {1} x {1, 2} x {1,2,3} (b) x {1,2} (c) 2{1,2} x {1,2}…

A: SOLUTION -1.2.1)(a) {1} x {1,2} x {1,2,3}We need to use the cartesian product for this set:…

Q: xp: V(r2 – 8)5

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Q: Evaluate the surface integral. x dS, S is the triangular region with vertices (1, 0, 0), (0, –2, 0),…

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Q: c ex '+2) dx + 2x -3

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Q: 9) $ (x) )= (7x-e)

A: Definition used -                     Chain rule of derivative -…

Q: n=2 n (2n — 1)!

A: The given expression is an infinite summation, where the indexing variable "n" starts from 2 and…

Q: Evaluate the surface integral. x²z² ds S is the part of the cone z² = x2 + y2 that lies between the…

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Q: S¥×(2x³ + 1)dx 3,

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Q: Which of the following integrals converges? *-0.01 а. 1+ x 001 b. 1+x с. 001 1 +x d. -001 1+x е.…

A: To verify the convergence of given integrals we use the fact as given in the picture.

Q: To evaluate the integral |x sin xcos x dx using integration by parts, the convenient choice is, H=…

A: a. Given integral is ∫ xtan2xdx. Considering u=x and v'=tan2x is the convenient choice for…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: Given Fx,y,z=x i+5y j+3z k Surface S is the cube with vertices ±1, ±1, ±1 Using Gauss's divergence…

Q: ess the limit as a definite integral on the given interval. χρ (x)² + 5 lim Π-100 n | = 1 -Δx, [1,…

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Q: So ye -2y dy

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Q: Show that the M step for ML estimation of a mixture of Bernouillis with a B(a, B) is given by: fkj =…

A: To derive the M-step update formula for the mixture of Bernoulli distributions with a beta prior…

Q: 1– cos(x) y = = csc(x) – cot(x) sin(x)

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Q: Evaluate the surface integral. I. (2z + v²z) ds S is the hemisphere x2 + y2 + z2 = 4, z 2 0 %3D

A: The objective is to evaluate the surface integral,  ∫∫Sx2z+y2zdS where S is the hemisphere…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: The S is composed of the surface in the paraboloid in the form y=g(x,z) f(x,y,z)=y-g(x,z)=y-x2-y2…

Q: Integrate and simplify:

A: to find the indefinite integrals of the given functions

Q: Name the image of overline DE

A: According to given figures if quadrilateral TQRS is image of quadrilateral CDEF then image of DE¯ is…

Q: cos To evaluate the integral | dx using Integration by Parts, we should choose u = Vx, v'= cos а. 1…

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