A designer plans to build a thangular ehdlarare with a fence on GWD sides aned d wau on the thord d Ade. E éach of he fence segments leas a ffxed lenoth, L. aba t ir the lerp th U of the third side if the region enclored has the lagert possible grea ' g how your work ard urfify your ancwer really gives maximum areg.

Q: If the area (A) of the rectangle is (4x³ + 5x + 7) and the width (W) is (x + (Z + 4)). Find the…

A: Note: The area of the rectangle A = Length (L) * Width (W)

Q: I am completely lost.

A: Let x represents the width  and y represents the length of field. Since no fencing is required along…

Q: Q Find the Probabi litty of finding aclosed patht f m if the probebiltyof Switching onf f •f

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Q: Consicer ol diffontial eys %3D where, 2 is di fhaential oberator on finction space de fined fox…

A: Let us consider a differential equation                L^y=f(x)    --------(1) where L^ is…

Q: 2m ave WORY 800N A Im WMAN = TOON 2.15 A large wood beam weighing 800 N is supported by two posts as…

A: Here a large wood beam weighing  800N is supported by two posts. If an unthinking man weighing 700N…

Q: The wekly dema_nd for gasoline (in 100s liters) from a partic_ular raci_g car is a ran_dom…

A: A continuous random variable is a variable whose value can be obtained by measuring. A continuous…

Q: 11. Find the value of x and the length of each secant segment. K M 3 J 2.5 5.9 x= 4; KJ = 7; LJ =…

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Q: Let T be a triangle with side lengths a, b, and c. Thesemiperimeter of T is defined to be s = 1/2(a…

A: Let:        a=x, b=y, c=z So,        p=x+y+zs=ss-xs-ys-z We consider the function…

Q: A manutacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold…

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Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

Q: langle of the edgen of a length of the bon's dingonhe ond z are Yedangahar bon, the Common Aruming…

A: Differentiate both the sides of the equation  s=x2+y2+z2  with respect to t and simplify to obtain…

Q: Q10. Juppoe fG)= 25-t2 5+ Cos 10 For yehat nlece ()f a does fa) Laue a local minimum.

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Q: The different loul equaticn 5. %3D can be wntten in He torw n He tor m MX, y)dn t N(x,4) dy =0 Find…

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Q: The following incoplete y v data is given. 5 11 ?| ? 32 The data is fir by quadratic spline…

A: Given that the table value of x and y as x 1 2 4 6 7 y 5 11 ??? ??? 32 The data is fit by…

Q: A fair diié is rol Lee I be the tace number showring. Define X by the rule -X =Y if Y is even. 1X=0…

A: Given: Y be the face number on die XY        Y is even0        Y is odd

Q: How.S You Are to ConSÅruct an afen rectangular boxfro4- 12 t? of material what dimensions w resuttin…

A: Given an open rectangular box from 12 ft2

Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

A:

Q: QUESton 12 H. Manufactuny Machine bas a 3% defect rate. tems an chalen at rendamr, What is Ahe trat…

A: Solution

Q: A natural cubic spline S that approximates a function f on [1,3] is defined by : (2+²(x-1)+ a(x -…

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Q: The orthogonal trajectories of a + 7 is where a being parameter. r= In r = 2 In r + 7c 2 In r = + c…

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Q: 6. What is the length of JL? Show complete work!! K M

A: Applying Pythagoras theorum first Then similar triangle property Note- we take corresponding sides…

Q: If T4O isa bounded Linear ope rator. show that Forany XEDCT) such that llx ||<1 we have the strict…

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Q: 2. Suppene F=Q . L the set 4 2 3 4 lnianly ? why any o? nhar happeno is F=Zs ? nidependent so? rhar

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Q: Osing lagoange's me thad, find the marimum co minimum 4 =x°ty'4 z* subjeit to the condition ax° tby?…

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Q: The lengtns of Atlantic croaker fish ace normally diIstributed, with a meen of 10 Inches Cnd a…

A: Solution Let X be length of fish X~ N((μ=10, σ=2) We need to find the probability that length of…

Q: Let x, y be two positive real numbers such that a?y6 + 4 = a where a > 4. What is the minimum value…

A: To find the minimum value for x+y3 if x2y6+4=a where a≥4.

Q: Find the length of Kl. K %3 %3D

A: Given,

Q: 7 Cansder the surtace 2=9-x²-y?. a)Shetch the folloing secions Idbeling nlercepts Desonbe.in words,…

A: Given the surface z=4-x2-y2

Q: if ac krow Ae f-squared lora fitted Shyple lincar gessan Model is075,Heansapprexinetely ofthi…

A: A correlation coefficient gives the association between the variables and its value can be from -1…

Q: solve b and c to Show the, for fo)- y The Bernstein Polynom iall of The Bernstein Poly nom ial of…

A: Use the following formulae, to prove the required result.…

Q: 5.4 Find the least square regresion line for the data pint. (let * be the în de pendent vamiable and…

A: Given data point is (-1,3),(1,1)(3,0)

Q: Is BC DE?Choose the best justification. (GSRT.1) 12 15 20 BC DE because AABC is a dilation of AADE…

A: let's re draw the given figure to understand batter: as

Q: A ABC is transformed to make A FGH. 29/36 F B H Which congruent corresponding parts would prove that…

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Q: Suppose u = (1,0), v = . D.(f(a, b)) = 3 and D,(f(a, b)) = vZ. What is the maximum possible value of…

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Q: FOR what values of a wil the following system f eguati ons have no selution ? ax tay =4 ax - ay = 6…

A: Remark:  The system has  a unique solution if and only if the  coefficient determinant be non‐zero.…

Q: ex: E valvate the tollowing limite by uesing L'Hopital Yeele Sメ+ら DLim メー2 x²-4

A: We have to find limit

Q: If a ton K holds K000 Aallons of watev, the dan k after t minutes 9s giren by V= d000 (! which of…

A: The capacity of the water tank = 8000 gallons   The volume of water which remain in tank after t…

Q: Determine if the veetor is in Spanis} where S-3,01,2,0L3,4,2, 183 Ifit is, write T as a linear…

A: The solution is given as

Q: Let a < c < b and s(x) be a cubic spline with a single node c. Suppose s(x) = 0 on [a, c]. %3D Show…

A: Let a&lt;c&lt;b and sx be a cubic spline with a single node c. Let us consider sx=0…

Q: The diagonals of square LMNP intersect at K. Given that LK=1, find KN.: P %3D

A: Diagonal of square bisect each other

Q: in de pndent Variables り if メ,Y,2 and z function which achieves the eguation ャ+3x/2=5 Pind a2 in , Y

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

Q: check the conegence og the given seies 7ナガ の+) (n+19) (ants) on+n) (un+1) (Sn+8) explain the stes…

A: Given a ∑n=1∞7n+nn!+6b ∑n=1∞n+1n+192n+53n+114n+15n+2

Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

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Q: 2 T for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no Using Trapezoidal…

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Q: find he querage vallwe of he fanction z-cor ox m De mternal ( )

A: fx=x-cos26x,   0, π6.

Q: 7. Find the parameters a, b, c so that the following function is a cubic spline: 1 8+ ax + 4x? 3 on…

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Q: Giveň á šéčónd órder linéär hómögenéðuš différêntial équatión a2(x)y" +a1(x)y' + ao(x)y=0 we know…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is . compare this…

Q: Assume butterflies' populace caleulated that aftes W months, in lo06 is as f lW) = 12W + Los…

A: Given f(w) = 12w + cos(16w) +n * 100

Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

A:

Q: Ex Lat X, Xz and Xg be ,a sample fom Berneilli disteribitión. Assume the statis Gis thz イニメ,+ベ2+メ3…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.