Q5:111M) A) Let f: [0,2]R be defined by (3 if xEQ if xeQ fx) = (2) feRn [0,2]. Show that (1) / is discontinuous,

Q: f: R2 → R, f(x1, x2) = x1-x2 function is given. a) Can f be an surjective function? b) Can f be an…

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Q: What is the range of the function f(x) = 23 sin 4z+1 ? A) (0, 0) в [금, 16] C [금, 4] D [2, 0)

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Q: Iffis of class c? and z= f(y.x), con u= x°y°,v = 5x+1. Verify that| :4xy kxy+ 4x³y° + 10xy- af дхду…

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Q: Suppose f:R→IR is a diffexetiuble function which satısfies flo) = 0 . We wort to shouw f': IR → IR…

A: We have to do implicit differentiation.

Q: Suppose 2 < f'(x) < 6, for –1 < x< 1. Then f(1) – f(-1) is between A) 2 and 10. B) 4 and 12. C) 0…

A: GIVEN : 2 ≤f'(x) ≤6,  for -1 ≤x≤1 TO FIND : f(1) - f(-1) HINT : Mean value theorem

Q: f: X→Y and g: Y→V be bijective functions. Show the following: ) gof: X→V is injective. ) gof: X→ Vis…

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Q: Q12: If x + y = 10, then the largest possible Q13:The absolute maximum value of A) has no absolute…

A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

Q: Let f(x, y) = (2x - y,x-2y); (x, y) E R x R, (R is set of real numbers.) %3D a) Show that f is one…

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Q: ) Let f(x) = c) 1 x + 3 following: a) ƒ (-3) = = defined, write "undefined". Evaluate the Undefinec…

A: We have given function  fx=1x+3 (a) Put x=-3 f-3=1-3+3=10 f-3=Undefined (b) fx+h=1x+h+3

Q: 20E22. For each pair of Eunctions 'in Exercise 17-34: 9) Find the domain OF f,9, ftg,P-g,fg,F5…

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Q: 18. 19. The curve y = x³ – 3x² + 2 has an inflection point at the point: a) P(1, 0) b) P(-1, -2) c)…

A: 18) Given that : We  have  to  find  the  point  of inflection of the  given…

Q: 4y² Given the function f(x,y)= find each of the following. SIMPLIFY A) f,(x,y)=. B) f,(x, y) =- C)…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: * H.W Let f:AC, 9:B D be two functiens sit flx) = 96) ha fug: AUB CUp VXEANB then defred by:. %3D…

A: SOLUTION- SolutionA Rlation R:X→Y, where X and Y are setsis called functions if each element of x…

Q: COSZ 2) if Res(f,x) of the function f(2)=- a) -3/8 b) #-6 2ti c) 1/e d) 8/5 -is

A: To find Resf, π of the function fz=cos zz2 z-π3.

Q: 3) What is the range of the function y = -/x + 5? A) {y]y2 -5} B) {y]y> 0} C) {y]ys -5} D) {y]ys 0}

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Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: What is true about the function *) - as *-* ? A) B)(x)→0 from below OC) f(x) is undefined OD)x)→…

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Q: What is true about the function -- asx-m? OAM-f B) (x) 0 from below OC) f(x) is undefined OD)x) from…

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Q: Let /: X →Y be a function, A, BC X and C, DCY. Show that: 1. f(AUB) = f(A) uf(B) 2. If AC B, then…

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Q: Suppose f: X→Y, and A, B CY. Prove that (a) f-¹(AUB) = ƒ−¹(A) U ƒ−¹(B). (b) f-¹(ANB) = f¯¹(A) n…

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Q: 24). Consider the frinction fa)= 2. :) t the Find the equatien ") Eaplenin why the intersectio…

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Q: For the function Hlo>x'tle, fnd a)flxth) 5bf(xth)- flx) c) f(x th)-f(x)

A: Given: f(x)=x2+6 To find: a) f(x+h) b)f(x+h)-f(x) c)f(x+h)-f(x)h

Q: If f(x) = which one of the following is f-¹(x)? a) b) c) x- x-1 2x x d) 2+3 c) = 2 x+2

A: The given function f(x)=xx-1

Q: Determine whether cach of these functions from Z to Z is one-to-one. a) f(n)=n- I c) f(n)=n b) f(n)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 子6)= cosz- Ga82-1., XE Co, 2T].

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: az az + x əx %3D Let z = f (x² – y²). Show that y ду

A: The given function is: z=f(x2-y2) Now partially differentiate above with respect to x and y,…

Q: 04/ Bind the differential of Hthe Punction at the indicated number f(x)- JzxAY x =4

A: We can find the differential at the indicated point as below

Q: Find f"(x) for f(x) A) D) -42 x7 -42 7 x6 = B) F) 294 x8 -294 C) - -7 F)-

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Q: Determine whether f is a function from Z to R if a) f(n) = tn. b) f(n)=√√n² + 1. c) f(n) = 1/(n² —…

A: Function: Let f:M→N be a function, then every element of set M has one and only one image in set N.

Q: Q3/ prove fry = fyx if f(x,y) = x + xy – 5x³ + In(x2 + 1)

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