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: danx fonthebougast Awiwnitean quakin yo bomx+ fthe Camve Le Secx 19-

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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: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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Q: Evaluate the followng- (メー2メ+3) dx ー2 Cos (70+5) dO

A: Formula used: 1)∫xn dx=xn+1n+1+C and 2) ∫cosx dx=sinx+C, where C is integrating constant. Given: 1)…

Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: KD and ZE are complementary. If mZD = 5x + 3 and mZE = 3x – 1, what is x? 081

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

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Q: fnd the dorminof the function +4 ベ+!

A: Given:

Q: Evaluate for the given

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Q: find andy メ <+(1-i³ y = 1 2 125 11+2i 9 = 11

A: Rationalize the denominator of coefficient of x and solve left hand side properly. Finally compare…

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

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Q: |- 4X

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Q: XA - ХА + yl th

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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: -b ± Vb2 – 4ac 16. Evaluate the expression 2a where a = 1,b = 4,c = 3 %3D %3D %3D

A:

Q: Q4 1

A: ∫cos2(x/4)Substitute u=x/4→dudx=14→dx=4*du=4∫cos2(u)duApply reduction…

Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

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

A:

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

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

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Q: xdx Evaluate x2 + 2x + 1

A: The integral to be solved is . Since the integration is indefinite; a constant of integration is to…

Q: Let B = [b1, b2, b3] = -1 -1

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Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: when 2u 7. y = +1 u = TX, !!

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Q: ayE20 a12=140 an as

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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.

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR