For &) r 0x xi روا show that ܕܕܥ in the region where #0

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: 54Y 7/78° 10

A: Answer

Q: Show that for baetween ( tana

A: Show that for x between π4,1 for the function tanxx=32.

Q: 19. The 68-95-99.7 Rule. A set of test scores is normally distributed with a mean of 100 and a…

A: Note: As per instruction solving D-FGiven information,population mean = = 100Population standard…

Q: If k >= 2 and x in R^ k prove that there exists y in R^ k such that y ne0 but xy = 0 Is this also…

A: If x has any components equal to 0, then y can be taken to have the corresponding components. equal…

Q: Let 2a4 + y* + 23 = 4 Then dz (1, 1) = 8/3 -8/3 none of the listed here 1

A:

Q: Rind the Domain Jx-3 x2 16

A: Given query is to find the attached domain of the expression.

Q: 10) tind tre area of tve region boonded by the Graphs Of tre Given functions y- 2-x* ,4= 2-4X The…

A:

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: o Show that X2 = {(x, y) € X × X : x < y} is a sublattice of X x X.

A: Given that X is lattice Given that X[2] The objective is to show that X[2] is a sublattice of X×X.…

Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x&gt;0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: Let flx)=x² and! gix)-Xr4. Find (gof)は) (fog)l-5)= (gof)(-5)= こくい(6。)

A: We have to find fog(x) ,gof(x)

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

A:

Q: 6. Find f'(1) if Ax) = nx

A:

Q: 4. If /(r.y)=- , find f, and f,. V+y

A:

Q: .2 -dædy In (x) ey

A:

Q: Show dz 4 In= 는I미페 - for a<0. x <

A:

Q: 11. Use the Pythagorean Theorem to find x* 8 7.

A:

Q: let foo- X-1 when x+i- Féndavalde of fethat calil makefis continueus at xe

A: For a function f(x) to be continuous at x = a the condition is:

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: Soluti 03 16. A 11 22 1 Let Ax- b be a linear svstem of n eauations in n unknowns, and assume that A

A: Given: A = 03-2114225, b = 75-2  and Ax = b To find: The value of matrix x.

Q: - Find V x+y `

A: Given that, fx,y=x+yx-y We have to find ∇f. We know that, ∇f=∇x+yx-y=∂f∂x,∂f∂y

Q: The derivative of the function In In(coth a? – 1) is

A: follow next step

Q: 4) Evaluate: §´ 12x – 1|dx

A: Given query is to find the value of the integral.

Q: 3.6 Error analysis of the upwind scheme We notice that the upwind scheme can be written S (1+v)U} –…

A: Error analysis of Upward scheme  To prove: Ujn+1= 1+vUjn-vUj+1n ,  if a&lt;01-vUjn+vUj-1n ,  if…

Q: Evaluate [x'e½dx .

A:

Q: if N=xYフ。 Prove tha+ xx

A:

Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Let x &gt; 0 and b &gt; 0. Show that

A: