Theorems Let {xy and fyny betwo Se @ X n + Yn w X+Y в 2х ш> hx WheF

Q: tiven the tunction Dn)=(n-5Xhta)(n-3): the coordinates of its P-intercert are, the coordinater of…

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: Show that if both f: A ---> B and g: B ----> C are bijective, then g 0 f: A ---> C is bijective.

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Q: Give the domain of the function. Зх — 2 - z = O {(x, y): x and y are real and y + 3x - 2} - {(x, y):…

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Q: For which real numbers x do the following equations hold: (a) Vx + V2x – 1+ Vx – V2x – 1 = V 2а — 1…

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Q: Find the values of a such that det (² 3-x 2 3-x 4 1 -1 -1-x = 0.

A: We have to find the value of x such thatWe know that

Q: The Range of y = [2x + 1] is Z, T O F

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Q: 13 |xsin xdx ーT 15 (xsin xdx

A: I=∫ x sinx dxIntegration by parts;u=x, v=sinxI=x∫sinx dx-∫(1 ∫sinx dx) dxI=-x cosx +∫cosx dxI=-xcosx…

Q: Use index notation to show that: If Vu=0,-v=0, and Vxw=0, then V-[(xv)xw]=w[(v)-(4D)V]

A: Given:  .To prove: .Properties of the Dot and vector products:i) ii) iii) iv)

Q: Determine fx when S(r , y) (x² + 2y)(y² – x) .

A: Given f(x,y)=x2+2yy2-x. The main objective is to determine fx.

Q: X->A -Discuss The contrinuity of ye Sin

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Q: Væ² + a² – V² + b² lim Væ² + c² – Væ² + d² I00 .2

A: We have to evaluate the following limits- limx→∞x2+a2-x2+b2x2+c2-x2+d2

Q: Evaluate the function at the points (-8, 0), (6, -6), and (0,24). k(x, y) = xe-3 (Express numbers in…

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Q: frx) = Ty-x the domain of suppose What is

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Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

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Q: Evaluate S*dx Vx+1 à. (1 +)} B. - (1 + c. (1-5 + c D. - (1-5i + c + C В. + C 3 3 A OB Ос OD

A: The given options are wrong. We use power rule and integration by parts formula to evaluate the…

Q: Find the domain of f(x)= O {x|x€R¸x*−2,2} C O O {x|xeRx=2} {x|x€R¸x÷-4} {x|x€R¸x#4} 4x²-3 (4+x)

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Q: Challenge #7 Plot five parabolas with the same x-intercepts (black), but different vertices (other…

A: Given:  Points : ( -4 , 0 ) and ( 4 , 0 )   Vertex (h,k ) :  Red : ( 0 , 80) Blue: ( 0 , 48 ) Green:…

Q: Əw du aw expressing w directly in terms of u and v before differentiating. Then evaluate and ди Əv…

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Q: * Given : the constants C,D; the functions F1 (1eof argum G/2; the predicates P/1, R12,Q13- Which of…

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Q: 2 For 1 X+ 1 and g(x)=, find b. the domain of fo g a. (fo g)(x): a. (fo g)(x)= (Simplify your…

A: Answer: (fog)(x)=2/(x+2)

Q: 1. Given: P={5, 10, 15} {xEQ| x is divisible by 4, 5 2y. Write whether it is a function or not a…

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Q: froblem 2/ Drive the function below. t-y=Vx-secx+3 2-y=(Secx + tanx)(secx – tanx) 4-4=5+ Cota tan 9…

A: we have to find the derivative of the following.

Q: . (Multiple Choice Question) The domain of the function x2 is the set: 4 - A) [1,2) U (2, 0) в) (2,…

A: 2x-1x2-4

Q: tanx

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

Q: 10) s) =-2 -2

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Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x)…

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per…

Q: If U = {1, 3, 5, 7, 9, 11, 13), then which of the following are subsets of U. pick two three {5, 11,…

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Q: a. 2 |x – 4|| х-1 b. x? + 2х — 12 1 х+1

A: a.  (1, 2] and [3, (5+√17)/2]         b.  (-1-√13 , -1+√13)

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A: vector q is not in the span of vectors.  p1,p2and p3. complete explanation is given…

Q: Use v=<3/5, 4/5>, w= <-4/5, 3/5> to find v.w and proj w(v)

A: Given thatv = <3/5, 4/5> and w = <-4/5, 3/5>To find:wprojwV