Show that S= {xER*| x < 2x.} IS convex
Q: Use the Error Bound to find a valve of N for which Error CSN)<1 x 10-9. is 1.5 3x
A: Error bound for Simpson's rule is defined as follows. For a function fx, if f4x≤M, then…
Q: If u=f(x2+2yz,y2+2zx).Prove that
A: Given: u=fx2+2yz, y2+2zx Let u=fv, w where v=x2+2yz and w= y2+2zx. Now prove…
Q: Find 3²y of z = In(xy)
A:
Q: Consider the reglon bounded by the graphs of y- and y- VE
A:
Q: Show that cl S = SU(Bd S) %3D
A: LetS⊆R, claim: closure(S)=S∪Bd S =S ∪ S' by definition bd(S) ={ x∈ℝ/x∉S° & x∉(ℝ-S)°} let x∈S∪S'…
Q: Find an example of a bounded convex set S in R2 such that its profile P is nonempty but conv P ≠ S.
A:
Q: A cubic spline S is defined by: So(x) = 3(x- 1) + 2(x – 1)² – (x – 1) S(x) = s,(x) = 4 + 4(x – 2) –…
A: Natural Cubic Spline is a piece-wise cubic polynomial that is twice continuously differentiable.…
Q: 2. Find all volves of tand u x(t,4)=0 and simultomebusly such that =0. 3. 5x-11* C.
A: Get the equations for: fx=0fy=0 15x2-11y=0-11x+3y2=0 or 15x2=11y3y2=11x
Q: Prove that v = In (x- 2)^2+(y-N)^2 is harmonic in every region does not include the point (2,N) and…
A: Given v=lnx-22+y-N2 where N=44. So, v=lnx-22+y-442 ........1 To…
Q: Prove (sn) is bounded if and only if lim sup |Sn| < +∞.
A:
Q: EX: Show that the telation ? >' is PartiaL oldering set of Por R-
A:
Q: Find yas a fon chenof x if t. %3D with
A: This is cauchy euler equation and we will solve it by changing the dependent variable
Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2
A:
Q: Find the fowien senies fon | X), -T<X <A
A:
Q: of is: If f(z, y, z) = ry z' + In (z) In (y²) In (z³) then dz
A:
Q: Find the aven bounded by y=x and y =x+2
A: First draw the graph of the function and find the intersection point of the graph:
Q: Prove that if ø is convex, then a-[$(x + Az) – Þ(x)] is nondecreasing for å > 0.
A: As φ is convex we conclude that its second derivative : φ'' is always positive ∴ φ''(x) > 0…
Q: y Verify Euler's theorem for u = x' In
A:
Q: 6. Use a substitution to find S (x* + 1)" z³dx.
A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…
Q: (b) Compute r if: arctan r + arctan 1 = 2 ( arctan z arctan
A: tan-1x+tan-11=2tan-1x-tan-113
Q: Prove that d (sec"x)= 1.
A:
Q: If y = xsinx then prove that y''+y=2cosx
A:
Q: az Find if yz – In z = x + y ax 3.
A: We have yz-lnZ=x+y
Q: Show that if AT Ay = y for all y in Rn , then ATA = In .
A: Given that ATAy=y ∀y∈Rn. To prove ATA=In
Q: az Find if yz – In z = x + y ax
A:
Q: Prove that dl = (Vu) x (Vv) - do.
A:
Q: Prove that Theorem 13.1 (vi) using the simple ftn, nonnegative ftn and general ftn. (vi) If X is…
A: vi) From the given information, X is measurable in N. There exists a sequence of simple functions,…
Q: Prove that if A−1exists, then there can be no nonzero y for which Ay = 0.
A: Prove that if A−1exists, then there can be no nonzero y for which Ay = 0.
Q: 4. Let xn → 0 and (yn) be bounded. Prove xnYn → 0.
A: Hello, thanks for your question but according to our guidelines I am answering just question number…
Q: Find дхду of z = In(x² – y)
A:
Q: Let X be the amount of soda released by a soft-drink dispending machine into a 6-ounce cup. Assume…
A: Given information: σ=0.25 a) P-value for the quantity, where no more than 0.5% of the releases…
Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…
A: Given: c To find: a) X=R2b) X=R3
Q: ху • prove that x +y Example If z = az dz + y.- Əx х. ду
A:
Q: Use the definition of uniform contimuity to prove that (r) is uniformly cotinncs (0, x)
A:
Q: Which characteristic/s implies(y) that a set S of real numbers is closed? S has no accumulation…
A: To choose correct option from given question.
Q: .If o + S CR is bounded above, then S has a supremum
A: It is given that S is a non-empty sub-set of R and R is bounded above.
Q: A chow that the wsonskian d es will neves become zex0 to8 all spal
A: Here we use the fact ex> 0 ,for all real x.
Q: 3. Show that à = (6xy + z³)î + (3x² – z)ĵ + (3xz2 – y)k is irrotational. Find p such that A Vọ.
A:
Q: prove that Sa/Gn has f discription with M-ly ny-l Degrees tof freedom
A: Suppose that xi and yi are two random samples of size n, drawn from a normal population. Population…
Q: /show that fo-1x is-Contindals everywhere.
A:
Q: (X), E(Y ) EXY), Cov(X, Y) , σχ, σχ and Py.
A:
Q: 3,4 show that the integsal (Xy°ty%dx + 3) Independent of the path joining the peints (1,2)and 3,4).…
A: A function F is path independent if it is conservative. And if a function F is conservative then…
Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D
A: The Intermediate value theorem says: If the continuous function attains two values then it must…
Q: Prove whether a function f(x)=x satisfies the Dirchlet conditions.
A: The function f(x)=x is absolutely integrable over any definite interval. It is bounded in bounded…
Q: Show for all x, y in R |x+ys]xl + ]y!
A: consider left hand side and use the result x=x2 x+y=x+y2=x2+y2+2xy≤x2+y2+2xy≤x+y2=x+y
Q: Let S = {(x, y) :x² + (y – 1)² < 1} U {(3,0)}. %3D Is the origin an extreme point of conv S? Is the…
A:
Q: Sketch the graph of the convex hull of S. In R, let S =. :0sx<3
A:
Q: Find the unique fixed prbability vecter for the regular stochostic matrx A= ) 2 5 2 0 3 3
A: The following information has been given: The regular stochastic matrix is : A=311252033 We need to…
Q: s defined over ai at one point in tl асcordi
A:
Q: Show that if AT Ay = y for all y in Rn, then AT A = In.
A:
Step by step
Solved in 3 steps with 3 images
- Consider f(x,y)=39−x2−y2, and let z=f(x,y). What is the z=9 level curve?Let f(x,y, z) = x 2y3 + z4 and x = s2, y = st2 , and z = s2t.This Linear Algebra and Multivariate Calculus Course , Find the stright line L1 through the point P:(1,3) in the xy-plane and perpendicular to the stright line L2: x-2y+2 = 0
- Determine the NATURAL cubic spline S(x) that interpolates the data f (1) = 1, f (2) = 1, and f (3) = 0.Prove that y2 + y3 + 2y4 ≤ 6 is a valid Gomory cut for the following feasible region. X = {y ∈ Z+4 : 4y1 + 5y2 + 9y3 + 12y4 ≤ 34 }What is the minimum value of the function f(x,y)=e^(−xy) on the set D={(x,y)∣16x2+y2≤1}?