Find a baxs for d (R', e'), the spece of R? to R>. 2 ee lineer tren sformations from

Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1…

A:

Q: Find the onthogonal trg ectories of y(sy +c) = I.

A:

Q: ®. *,(t)=l, tilt)=t, Xglt) =t² Let [oD. Use Gran-Schridlt on er thogonolize e, 2) process to

A:

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 28 integral…

A:

Q: Find an cguation of the tang int line to the curie at the given palnt -54) y=e, (,e)

A: We know that, The derivative of the function is equal to the slope of the tangent line to the curve…

Q: .rdx dy Prove that (a) (b) (8)

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 10 |In…

A: Given, the following integral :           with n =8 we need to approximate the given integral by…

Q: A muliple regresion of y on a cnstant x and x produces the folloing resuls. j= 4 +0.Ax + 0.9%, R =…

A:

Q: Evaluate the integral / cos[3 +1/(z – 3)] dz, where Y is the unit square with corners at 0, 1, 1+i e…

A: Given; ∫γcos3+1z-3dz Where, γ is the unit square with corners at 0,1,1+i e i

Q: Evaluate the integral. * m/6 cos(z) dz sins (z) Jn/2

A: Given,          ∫π2π6coszsin5zdz

Q: Evaluate the integral ſſ /ydA, where T- triangle with vertices (1,0), (0, 1), (1, 1).

A: Let us consider the double integral  I=∫ab∫f(x)g(x) f(x,y) dydx    or I=∫ab∫f(y)g(y) f(x,y) dxdy…

Q: B) Evaluate S Ln z dz around the circle | z| = 2 %3D

A:

Q: Find the areas of the regions . 1. Inside the oval limaçon r = 4 + 2 cos u 2. Inside the cardioid r…

A: Replace the variable u with θ The area inside the oval limaçon is given as, Where, a=0 and b=2π…

Q: Find the anc length oF t1x)=x° on [o,] Hint; use the Integral Tables,

A:

Q: Evaluate the integral (ycoS z + 1) dydz.

A:

Q: Find the anea of the vegion in quadrant Ps bou nodod ist 4 the conie the by the right by the line…

A: Given curves, y=ex+12,y=e-x+12,x=2 ln2 To find the area of region bounded by these curves.

Q: Evaluate the following. dV where R is the portion of the ball of radius 1 in 4-dimensions with all…

A: We need to evaluate the value of integral in 4 dimensions.

Q: 22. Compute the contour integral (Баллов: 2) Sof (2) dz, z E C, if f (z) = and path is semicircle z…

A: Topic:- application of integration

Q: consider Hthe quotien E ringzWI where I = (XtX+?) E Valuat e (zx+3+I)

A:

Q: egral dS over the su 9, where n is th surface element

A:

Q: 2 2 JEind. thePaints.an.th. sur face. Xy Z=1 that.are .... closest...t. the origin

A:

Q: Find the integration of S ecosx dx using Trapezoidal and Simpson's Rules

A:

Q: Qs Findl the Fauier Ex pensian of Hhe funckian deld in a gula Parul by the weladons Sule Perial by…

A: To

Q: 18. Use spherical coordinatcs Evaluate dV,where E is the portion of the unit ball X ty +z²<! that…

A:

Q: find the product of the integral 1- ' pln(7) xy eyx dydx

A:

Q: The approximation of J, x+4 1 -dx by the composite Trapezoidal Rule with n=2 is O 0.30833 O 0.40833…

A: To approximate the given definite integral by the composite trapezoidal rule with n=2.

Q: Compute algebraically the resultant of the following complanar displacements: 100 N at 30°, 141.4 N…

A:

Q: 10- Evaluate JJI where E is the region that lies inside the cylinder Vx2 + y?dV E x? + y? = = 16 and…

A: Here we use polar coordinate and Jacobian .

Q: Find the arc length of y = 26² + O 7/12 pi O 17/12 O 7/2 pi O Not in the choices O 17/2 2+2 for for…

A: To find the arc length of y=x36+12x for 1≤x≤2.

Q: The area bounded by the curve y = In(z) and the lines z = 1 and =2 above the z -azis is %3D square…

A:

Q: consider the curue desoribed by 2y"-x²_4y vevity that the foint (4-25 les on this o8 wrE andd find…

A:

Q: If the region R is bounded between two circles x² + y = 4, x² + y = 9, then we have: sin(Vx2 + y?)…

A:

Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

A:

Q: Determine the parts U Ind du for the following integral XVX-3 dx

A: Given query is to find the integration using substitution.

Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:…

Q: If the region R is bounded between two circles x2 +y? = 1 and x²+y? = 16 , then we have: J| x²+y?)…

A: Let's find.

Q: Given: ARST = AXYZ; SK bisects ZRST; K YL bisects 2XYZ. Prove: SK = YL S

A: Prove SK≅YL.

Q: Evaluate the double integral | 3xydA where Ris bounded by y=2– x, y=0, and x =4 –-y² in the first…

A: this problem is related to application of integration

Q: Find the Laplaće Trans forh 3) f()=1 cosh(at)

A: Given: ft=t coshat   As we know from the property of the Laplace transform. Ltnft=-1ndndsnLft   And…

Q: 3, Let R be the of: y: sinx region endlosed bu the grophs n enclosed by and 1 x70 . Groph R and…

A:

Q: Prove that the area of the cardioid 3 r = a(1- cose) is , πα?. 2

A:

Q: I| Name the mathe moticion aho is credidet sith Hhe cefine mand of the co When acopt of fundion.…

A: Peter Gustav Lejeune Dirichlet ( 1805-1859) was a German mathematician, a student of Gauss, was…

Q: find the valume 9tntrat ed by y= X? on [0,31 rotating abaut thlina X-5.(shell melthod) rated

A:

Q: i Apply Green's theorem to eve luate S [rex=y)dx +Cx+g)dy], where C is the bocundaug qxis aiad the…

A:

Q: determine the area inside of the inner loop of the limaçon r = 2 cos 0 – 1.

A: We have to find area of r= 2cos(theta)-1

Q: z is a complex variable z=x+iy pic attached with question

A: To establish the analycity of the  function under the given conditions.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.