Calculate F- dr, , where F(1,y) = (x+ y, zy) and C is the %3D 2 parabola y = x' from (1,1) to (10,100).

Q: A natural cubic spline S on (0,2] is defined by Jsin - 1+2-r. S) = if Osr<l. |S,0) = 2+ b - 1) + cư…

A:

Q: Find the alue of C that satisfied the theorem for the function fCx) = 3+ Jc on the %3D in terval…

A:

Q: 5. Prove that So*(y – 0)dydr =

A:

Q: Let z be a complex mumber o B19) s and c be any then So BlE)dz+a fle) dz isequi contou any funckon…

A:

Q: E valugte the cube raot of z when 2=27 Cis(210) ( Let 0s GS360°) Smallost ☺ ualus) targonst ualue).

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Take simplifying voxel Ax= Ay= L length of the diagonal = 1. For the projection (e.g. in any…

A: In 3D special effects, a voxel represents a worth on an everyday grid in three-dimensional space.…

Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: Use Euler's method to obtain a four-decimal following: approximation for t (4 y=2Xy, yC)=1; yU5) =?…

A:

Q: Find the and the sroallart Valurs of the functron fx)%=Ie+t on The intosval 0< ILI %3D

A:

Q: Q1. Verify Euler's theorem for the homogeneous funetion, fxy.2)-axy +byz + czu

A:

Q: 4. If R is the total resistance of three resistors, connected in parallel, with resistances R, R,,…

A: as per our guidelines we are supposed to answer only one question. Kindly re post other question as…

Q: Let C be the shortest path that connects z to ri and /= J, (sinhz + 1)dz. Then O 1 cosh r+ n(1+) O…

A:

Q: find the Lineartransfromation T:Manz (R)R whose matrit Mp --

A:

Q: Show that, in the triangular region with vertices (0,0), (1,0) and (1,1) the following double…

A: Double integral

Q: Exercise 8 Fünd the real root of the following Successive egjuations using method upló Ğ decimal…

A: Successive approximation method used: The iteration formula to find the root of a function y=f(x) by…

Q: Find to the the equation du green funclion corresponding pula)=fex) conditions U(o) =0 with and…

A:

Q: Find the equation of the line through P = (4, 12) such that the triangle bounded by this line and…

A:

Q: 3. Consider the ra greater across z =1-r² - y² plane and the s and a paramet

A:

Q: 1) Prove that Ym,n EN such thert m¢ nt = n<m using the princdple of in duction!

A:

Q: 1. Construct the bisector of XY.

A: We need to draw bisector of line. AS per our guidelines we can not solve multiple questions so I am…

Q: Find the bounded solution of au Əx = 2 อน at + U_if_U(x, 0) = 6e-³x. 1

A: Given: The equation is ∂u∂x=2∂u∂t+u and the given initial condition is ux,0=6e-3x. To find: The…

Q: 11. Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

A: (11) Consider the provided question,

Q: Consider a dihedral groop Dy=<agb: asb= (abj=1 Ds cuss all Dy and verify Subgooups of "Dy=…

A: See answer below.

Q: Obtain the general soluti d²y 1. 7- y = 10sin²x

A: Given: d2ydx2-y=10 sin2(x)

Q: 1. Compute SF · dr where F(x, y) = (y²,–x²) and C is the part of th parabola u = 12 from (-1 1) to…

A: First take dot product of f and dr Then put value of y in terms of x Integrate and raise limit of…

Q: show that fGx) = C,ex +C,e* s a solution to y for all real conatanto C, +C2, and then find C,, C,…

A:

Q: Prove that z'e'-z = 1 has exactly two roots inside the circle |z] = 1.

A:

Q: A natural cubic spline S on [0,2] is defined by |So(x) = 1 + 2x – x³, S(x) = if 0<x< 1, |Si(x) = 2 +…

A: Given Sx=S0x=1+2x-x3if 0≤x&lt;1S1x=2+bx-1+cx-12+dx-13if 1≤x≤2

Q: show that the. fallowing Complex functron is dis continuous at z=? 121 1 fCZ) = スー! %3D 3. %3D

A: Topic:- limit and continuity

Q: Let Polynamial. has infinitely mny Toats, R-ZO7. Show t the (1,0)xin roots, Sol

A:

Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

A:

Q: Verify that the conclusion of Clairaut's theorem is valid, that is, that uxy = uyx u = x4y3 - y3…

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: A natural cubic spline S on [0, 2] is given by So (x) = 1+2x- x³,0 sx<1 S(x) = s, (x) = 2+ b(x- 1)…

A:

Q: show that the. following Complex functron is dis continuous at z=i. fCZ) = スー! %3D 3.

A:

Q: 13-Evaluate JJI zdV E where E lies between the spheres x2 + y? + z2 = 1and x2 + y? + z? = 4 in the…

A: The given integration is , Let, I=∫∫∫EzdV change the integral into spherical coordinates Put x=r…

Q: Describe the tronsformaton that must be performed, On the of y=&5)*-3 gaph of y= xh to Obtuin the…

A:

Q: Compute algebraically the resultant of the following coplanar displacements: 20.0 m at 30.0°, 40.0 m…

A: For the given data, the horizontal and vertical component is  So, the horizontal component is…

Q: (4) In the figure, Y is compact, BEX*Y. Show that T,(B)s TB) clesed X (T, is the nýuchikn funebran)…

A: Given that Y is compact and B⊂closedX×Y. The objective is to show that, π1B⊂closedX Let's define,…

Q: => For The Wbech Ualuo of E doas the Martrix イK %3D have one roal eaomalue of Mutiplicty?? k =

A:

Q: 2.2 Find upper bound of zp (z- 3i)3 + 1 where C is the circle |z - 3i = 4. 2.3 Use the Cauchy…

A:

Q: A natural cubic spline is defined by [a, (x – 1)' + b, (x – 1)² +c, (x – 1) + d, f(x) = if 0<x<1 (x…

A:

Q: Find ¹JJ²₁ z dV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,2,0), and…

A: The solid E is the tetrahedron with vertices 0, 0, 0, 3, 0,0, 0, 2,0 and 0, 0, 1. Draw the solid E:…

Q: Qし If xと -l Sx S2 fa)= { 5-x fo) = 2< x S3 - Is fox) Condinuons at x =2 2 and sketch this funclion

A: Hello, Thank you for the question. According to our honor code can answer only one question at a…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.