Show that if a, b, c ER then: (m) if a > 0, b>0, (n) if a > 0, b>0 (o) if b0, c 0, then when b = = ac bc Va √b b √a+b= √a + √b? =

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Q: 10g C-x)=)

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Q: Differentiate implicitly 14. 4√x – 8√y = 6y²

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Q: If m<1 = 6(3x+1)-2, m<2= 3(x+2)+9, and m<ABC= 5(3x+5)+6, find x and m<ABC.

A: Given,           ∠1=63x+1-2           ∠2=3x+2+9            ∠ABC=53x+5+6

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Q: Hiw.S Let Asitij-zk, B=-i-kandc=zituj-zk finds A-(2B-c) 4-2AX3B saCAXB).c 6- Ax(Bxc)

A: Given that: A=i+j-2kB=-i-kC=2i+4j-2k NOTE: As per our answering guidelines, we can only answer 1…

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Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

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Q: If 9(x) dr = a + 2b, find A. a+2b+3 B. 56-2a C. 4a-b D. 4a+5b E. 26-2a B ОЕ Question 10 \9(x) + 3)…

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Q: show that (to) arg = = argz

A: We have to show that  arg z¯ = -arg z.        ...A     Let us first see what is z¯, z¯ is conjugate…

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Q: C) Worte ex bonent prom into nte exborent from 2x+B. 109= ¢

A: We know that, from the property of logarithm, logab=c⇒ac=b         ⋯⋯1 Also, from the property of…

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

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Q: b) Let: [1 1 0] A = 0 2 3 10 1 and B = 0 2 Determine: (i) AB. (ii) A+ A".

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Q: If g(x) = 8x? + 5x + 3, find the simplest formula for the difference quotient if a and h can be any…

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Q: Let u = (5,5,0) and v= = (5,5,5√√2). Compute |uxv|. Then sketch u, v, and uxv. |uxv= (Simplify your…

A: I have explained everything with in the solution. Please go through that.

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify.…

Q: x²+6x+9 x+1 b) x = -6 4. Find the zeroes of f(x) = a) x = -3 c) x = -2 d) x = -5

A: This is a problem of real values function and analytic function.

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

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Q: Even-degree polynomials can have how many absolute maximums or minimums? 1 2. 3. 1 2 3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

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Q: 49. Prove that (a – b) × (a + b) = 2(a × b).

A: The following properties of vectors are used in proving the given identity. a×a=b×b=0a×b=-(b×a)

Q: can you show A + 2B = 5 and 4A + b = 6 to get A = 1 and B = 2 in case 2,

A: Let's solve.

Q: Use the substitution u = √x+9 to evaluate =(√x +9) * +c ² / (√x +9) ²¹ +C 1 / (√x +9) ²+ + C =(√x+9)…

A: By using substitution u=x+9 to evaluate ∫x+93x dx.

Q: Show that Q(√5, √7) = {a+b√5 +c√7 + d√√35 | a, b, c, d € Q} = Q(√5 + √7).

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Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: Find N2 A 21 N 2 p(v) B, ) = N`, p (ν) Β..) A 31 Haitha.

A: We have to separate N2 from the equation

Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

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Q: Determine: 1 (1 -1 2] [2 3] +0 1

A: given  1-124-1023+1001-1-1 solution we will use property of matrix multiplication and addition to…

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Q: ニx%(f09))= 3メと4 ノ9メ)=3メ4\ Find fox=? (fos))=3X+\+3中f=メ+3

A: Applying properties of composition

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Q: 6572sinx 10

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Q: 2. Find A if (A-1-21)² = -2 = -21]

A: Basic properties of matrix are used