Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a du -4c². ağ an ax2

Q: Consider 2x° – 3y? = 8 -

A: SolutionStep I :  2x3 - 3y2 = 8Now, 2x3-3y2=8⇒2x3-8 = 3y2ddx2x3-8 = ddx3y26x2 =…

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

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Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: Find the following

A: Given integral is: ∫-9t-2.5-2t-1

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Select the corect answer a. (s-3 Ob. (s-3) Oc 1 (s–3)? Od. (s–2)} O e. 1 (s–3)

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Q: 6 and an nan-1 + 2 then find If a1 the value of az.

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Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: Let ū = (6, 0, – 5) and v = ( – 5, - 3, – 7). 4й + З

A: given: u→=6,0,-5 and v→=-5,-3,-7 we have to find 4u→+3v→

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

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Q: If z 2 = Rep, then write za+iß as Ae B

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Q: Let ā = 6i – 5j and b 4i + j. Find a :

A: Here I am attaching image so that you understand each and every step.