Solve PDE 1 = e=*t u. u̟ =e¯*t Xx k (o0) u(0,t) =0 u(L,t) = 0 u(x,0) = L -x?

Q: dx 1)y /sec(3x) 2) y = Vu + 2u , x= u? - 3u

A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

Q: 14 نقطة Q) Find dy/dx of the following * :equation (x² +x)(x' - x +1) y: dy/dx = -3/x^4 O %3D dy/dx…

A: Given y = x2+xx2-x+1x3y = x4-x3+x2+x3-x2+xx3y = x4+xx3y= x+1x2

Q: Q₂ / let then find X Y f(-2) 9 S f(x) dx 3 17 2 -> 1 5 10 f (11) f (3.2), f" (3.2) 5 -3 7 9 f funda…

A: As per guidelines,we are supposed to solve first 3 subparts only.I have given 4.

Q: rya Cihanbeyli'dan

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: Let r(t) = Find f(t)dt ( )dt (don't include the +C) fF(t)dt = <[ Calculator 1 Check Answer

A:

Q: 7. Differentiate a) f(x) = ev==t and b) h(x)= (5x² – 8r)e**-4". %3D

A:

Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

Q: (z/(u + m) = d)dĒшAuA (! h) 3n3m(n+m=4^n-m=2) (1=m-uv+=+u)шEUE (8 (S=₂+₂)Ẹи (ə (0 = m+u)шEUA (³ (m>…

A:

Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

A:

Q: The equations ry? + 8zzcos(u) + ye" = 16 and r*yz + xe" – 5u²v² = 15 are solved for u and v as…

A:

Q: 3 L²T³ « 1 (12x3 - 27x²y²) dy dx

A: Given integration is ∫01∫13(12x3-27x2y2)dydx

Q: 10) Suppose F(x) = | (1² – t)dt for all real values of x, then F'(4) = %3D (A) 12

A:

Q: The equation x''+ x = sin t has a bounded solution. true or false ?

A:

Q: d/dx [x/(x^2 + y^2) ] = * O [(y^2 + x^2)/(x^2 + y^2)^2 ] O -[(y^2 +x^2)/(x^2 + y^2)^2 ]…

A:

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: Let F(x) f(f(x)) and G(x) = (F(x))² and suppose that f(3) = 2, f(2) = 2, f'(2) = 2, f'(3) = 14 Find…

A:

Q: Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

A:

Q: Find dy/dx for  A) y=43x  B) y=e7x(^3)+5 the ^3 is an exponent, sorry!

A: To determine the derivative of the function.

Q: 3. Sxe**(4** – e)dx

A:

Q: y" - 3y' + 2y = 5 ex

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 8(x) 48. f(x) 2 - x' In Exercises 51–60, show that f(g(x)) = x an dom x - 1 g(x) of 51,fx) = 2r + 1,…

A:

Q: and d^2y/dx^2 for

A:

Q: Solve Uxx = utt u(x, 0) = 0, "+ (x, 0) = x² '

A:

Q: xye-(2²+v°+z*). Find all points (x, y, z) such that Vf(x,y, z) : Question 2. Consider the function…

A:

Q: Find a solution of x = y²_ (a) (0, 1) 1 1-xec y = (b) y = dy dx (0, 0) y = (c) (-1/2-1/2) (d) (2,…

A:

Q: 4. S V tan x sectx dx

A:

Q: Find a general solution to (ax+b)y"+a(ax+b)y'- y3(ax+b)°, where a,b >0 with ax +b >0 for all x on a…

A: Given equation is  ax+b2y"+aax+by'-a2b2y=ax+b1b Cauchy Euler equation . To solve this put…

Q: b) xy'+ 2y = 3x

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.