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Q: 17. tan(20-60°) tan–=1 2

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Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

Q: Show that |qbu)|&x + 7元? the closed on interval [-元,T」 fo1 -π2 2くだ gluen that glven gux) for

A: Given g (x) = x +x² To find the maximum value of g(x). We can differentiate the function and equate…

Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: O REDMI NOTE 9S Solve the disserential equat ilon with disscussion of Soluiton? x4-y=4²XLincx) %3D

A: Given differential equation is xy'-y=y2×lnx.

Q: Verify that He follow egunbin is an ielartiky Fan o -sino 2 tano

A: We will use various trigonometric formulas to answer this

Q: every vertor (en Sination of Hhe vertars (e, 2) and {-2,1)? ☺ Is linem reitars Provida why Jatailad…

A: Solution is given by using linear independence of vectors as follows :

Q: In AHIJ, HJ is extended through point J to point K, mZJHI = (x + 12)°, mZHIJ = (x - 3)°, and mZIJK =…

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Q: 8. Chords AC and DE intersect at Point R in OQ. If AR = 6, RC = 7, and DR = 3, what is RE? %3D %3D

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Q: 2), Compute SE. di where Fュく-,) C is s shown

A: The general form of a vector valued function in three dimensions is given by F→=F1,F2, where F1 and…

Q: When using Simpson's rule we must having two distinct point Select one: O True O False

A: Simpson's rule is used to calculate the value of definite integral by approximating area of the cure…

Q: 67. According to Eq. (8) in Section 3.2, b* = m(b) b*. Use the Product Rule to show that m(ab) т (а)…

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Q: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: メ人 xp- Vtan (e) sec?(e) de Evewale Jhe Jollowing! op (e)as (a)

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Q: Consider the fune tion fa)- In[ax- b an tb] where c= ? -6 bi 2ab ind f' ()

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Q: 12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

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Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y<ε, ∀ε>0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε>0,…

Q: Find the cquatio0 of Point (62)and parallel strataht ine theaugh the t0ine

A: The detailed solution is given below Thank you

Q: Prove tuat fsecodo-On/sece + tanco

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Q: Prove that CP PS AM BN 9. MQ NR

A: Consider the equation

Q: Suppose X has n elements and Y has m elements. How many bijections X → Y are there?

A: To find: The number of bijections X → Y are there. Given information: X has n elements and Y has m…

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: Use the definition to prove that {(-

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Q: If x<y, prove that x<(x+y)/2<y?

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Q: The formula in cell C2 is = A$2. Auto fill is used by dragging C2's auto fill box across to D2, E2,…

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Q: 9:Find the absolute exlemum Verlues of flx) x²-4x+24 over the interNal Cl,41

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Q: Compute è, and eu based on sit) = う 6stく) tンlo

A: Given  St=1         t&lt;623    6≤t&lt;749    7≤t≤10 0         t≥10

Q: 3. If u= (x+y +z') , prove that +y

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Q: LetZ:Nlo,1), Find p(IZI>-I |121< 2)

A: Given Z~N0,1

Q: 4) Find the equati he Tunge af point (2,-2). 2. -2つC- リ-4

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

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Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: Prove Haat 12=IN

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Derive the follwing euation Bar two degrees. Viz) =V,,ek tan-l [Z]

A: Answer is given below

Q: /show that fo-1x is-Contindals everywhere.

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Q: Use the following problem: Given that Z1= Z4, prove that 22 = 23. 3 Write your proof (in any…

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Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

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Q: Show that if ƒ′′&gt; 0 throughout an interval [a, b], then ƒ′ has at most one zero in [a, b] . What…

A: Given:

Q: SR ⊥ RT, TU ⊥ US , ∠STR ≅ ∠TS PROVE: ∆TRS ≅ ∆SUT

A: Since SR⊥RT So, ∠TRS=90° Also as TU⊥US So, ∠SUT=90° ∠STR≅∠TSU (given)

Q: What theorem shows that GTY = GUX? Osss O SAS O AAS O ASA

A: We have to check

Q: what expressi on is equivaient to this. (n-a)!

A: n!(n-2)!+n=n×(n-1)×(n-2)!(n-2)!+n  [we use the idea of factorial]=n(n-1)+n=n2-n+n  [distribute n]=n2

Q: Select the statement that makes the following conclusion from th If ZYUK is a right angle, then UK…

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Q: Are they congruent? If they are what are the corresponding parts and theorem? If they are not can…

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Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: Ihow do you bnd the imit of as x approaches 0?

A: The limit of x+1-1x as x approaches to 0

Q: Suppose that fo sf,:X-gy and g,-3 YoZ Prove that (Hint : First use ce) to show that gfe g,, and then…

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Q: (b) Show that when dist(x, y) = dist(x, –y), then x and y are onal. orthog- %3D

A: Given  dist(x,y) = ||x-y||