Using d'Alembert's solution, we obtain that the solution to the problem utt=9uxx u(x,0)=3x²,  ut(x,0)=x is a) 3x-2t b) x²+3t² c) 4x-t d) 3x + t e) t²+3xt

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: 6. Solve for x, XE C: a) x³-7x+6=0 b) 2x³ + x²-8x-4 = 0 c) 9z³-4z=0

A: As per the guidelines of bartleby First three question from multiple Parts is answered at a time,…

Q: (v³x - 2x4) p + (2y4 - x³y) q = 9z

A:

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: Prove that the equation ax + b = c has a unique solution where a, b, c constants and a≠0.

A:

Q: 15) f(x) = 5x³ + 12x2 – 36x – 16; 2 3 A) -4, 2 5° 1 B) -4, 2 3 C) -4, -1 -4, –1 5 -4, 2 O A Ос O D

A:

Q: Find the counterexample to show that the following conjecture is false. (x + Y)^2 = x^2 + y^2  is…

A: We need to show that the conjecture: x+y2=x2+y2 is false using a counter example. It is known that…

Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: If fCx)=4x+ Ax²+ 6X-3 andf(2) =1 what is the value of A? %3D %3D

A:

Q: When you plug in (0,0,0) into 7x - 5y + z = 0. It holds true, however, when you plug in (1,1,1) into…

A:

Q: is f(x) = -3x + 4 a bijection?

A:

Q: Which equation has exactly one solution? CLEAR 6x +5-3x = -3x +5+6x 6x + 5 - 3x = 3x +5-3z 6x +10…

A:

Q: f(x) = 7x + 9, g(x) = 4x - 1; A) 28x + 8 O C O a O b Find (fog)(x). B) 28x + 16 C) 28x + 2 D) 28x +…

A: Given :f(x)=7x+9g(x)=4x-1

Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: (x - 1) If 1 / ² ) = = √ Ada² + √ dx [ B (x − 3)(x + 7) - 3 - then A+B = Bdx x +7'

A:

Q: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

Q: If g(x) = 4x* – 3x² + 2x – 2 , then g) A. 글 -3 В. 2 C. D. 5 2 Е. 3 2

A:

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Find numbers a and b such that ax + by =(9, -1, 10), where x =(3, -1, 0) and y =(0, 1, 5). Is there…

A:

Q: Find x, y, z, and w. X = y = Z= W = x 7 (2x y 6 - 5) (2x = ¹) ] - [ (²x - ² 9y Z 9 By + 8) ] 8 (w +…

A:

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: Given that fx) = 2r-3 and g(r) = 9x²-5x+11, determine the following: a. g(x) – Ax) = b. flx) • g(x)…

A: Given that…

Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: If f(x) = 3x – 1, h(x) = 6x + 5, and fo g=h, find g(x). A x+1 B none of the given choices © 2x +1 D…

A: Given:- If f(x) = 3x - 1, h(x) = 6x + 5, and fog=h,   To find:- g(x).

Q: ux+ h) – v(x) , Given that (x) = 2x² – 5x +2 which of the following is equivalent to (A) 2h+4x - 5 B…

A: Basic functions problem