what is the avorago valus OF a Funckon F on an Posterval [a,b]? 13 the given by vallis of Fa)-tan X, スーメーエ を T| Explain. tan xdx? why or why not ?

Q: Assume P(Z a)? Question Help: D Post to forum

A: Given, P(Z<a) = 0.91 To find, P(Z>a)

Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: a mathematician designs a patio for her backyard to follow a particular curve.  a region of the…

A: Solution is given below:

Q: If fx) = 90 2 find f"(3). %3D O a) 60in 2 O b) 180 in 2 O d) 30

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Q: dx e) J 25+162 25+16x2

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Q: 4. Not a possible triangle Short Medium Type Long length length length Acute Obtuse Right Not a…

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Q: SU is a midsegment of ATVW. If VW = -5z + 90 and SU = 2z + 9, what is VW? %3D U V S W VW = ト

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Q: 3. lea f=R^-> R िये = सैघ and onsigler the following optimization problem: 3+0 naz tca)…

A: Given f:Rn→R is defined by   f(x)=12xTAx. We need to prove that Hessian of f is a positive definite.

Q: Wrat is the average rate of Change tor fwW=32-1 as we from x =-1 to x=3 go

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Q: 30.) Show all steps to evaluate by hand: dA where R (rectangle) –1 < x < 1 and 0 < y < 3 y2+1

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Q: for cohet valus q ais to contfinuous at evey o And explain why ノ26

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Q: Determine the range of O a) ) ) {\v=yER} O b) | * SER} Oc) | * 3. ER} d) | y +1.yER} f(x) = 3r-1 r-5

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Q: dx Evaluate o x – 6 a) 6 b) 0 c) 1 d) Undefined O a O b d

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Q: Determine the range of a) {v|y+3yER} f(x)= 3x-1 x-5°

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Q: Find the averags vaha of change ef -+2over achof mal ta) From 2 to D) From to 2 {e) Fiem 0 ta 3 ta)…

A: Given function is fx=-2x2+2. To find: The average rate of change of function over the given…

Q: YI fi-d the live (x-a) that bisect aved between the li-es y=o) リ=メ, yニ等ャと and y=ーメ+y Aus: a = 2.05

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Q: 10) Find the area of the shaded region. 6x 7x- 2- 5x -9 8x + 4

A: To find the area of the shaded region in the given figure Dimensions of the outer parallelogram…

Q: use iAverse matinx Xty tz Wty tz =3 カニれょメナ

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Q: ce(U) cl (D) {U. H} (J (H) {D. D'] = a (D')

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Q: 44 de d~ seb (b←d) v (d~S)

A: Given first premise is    (s → ~p) ∧ (p → q) . . . . . . . . . P1 (say)      ≡ (s → ~p) ∧ (~q → ~p)…

Q: Ejercicio #2. Resuelva: PO中 TC 0. T 5

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Q: 2x*y? =? .4,2 lim (x,y)→(0,0) x4 + 3y4

A: We find the limit of two variable along the path.

Q: 3. Les f=R^ R fo) 310 ज्य सेज and onsider the following optimization problem: maz tc)s.t、以42ス土3ス=|…

A: let f:Rn→R fx=12xτAx                 ...i where A=3-10-121011 optimization problem  Maxx fx such…

Q: Q5) chang e the Po lar 2r=2+cos o.(2r-1) to Cartesian

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Q: Explain why the finclion H2)=52"- 6+ . (a) is entire ?

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Q: Evaluate /y ds, C': ¤ = t², y = t, - 2 <t< 4 %3D

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Q: Evaluate [(x (x + y)ds, C: x = 3t, y = -3t+2, for -2 ≤ t ≤0. Check Answer

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Q: curva corresponde á función f(x) = 3sinx-x ea recta a y = (Calcula previamente os puntos de corte de…

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Q: Salve by uorng Inplace 3t %3D y) =3 y) - 1

A: Here we will solve the given differential equation using Laplace transform method.

Q: +)Use the improved Method Selvelue:. ノ

A: The given differential equation is                                                 y'=1+1xy, y1=e…

Q: dt 2) Estimate using the trapezoid rule (N = 2)

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Q: Evaluate y Ja² - y2 dy [hint: assume y? = a?x], %3D

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Q: 2: Salve the fallowing differnilial eguitins Yx) =4 Hint: Riccati D-Eymtim.

A: Given equation is, dydx=12xy2-1xy-4x One solution is Y(x)=4.

Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: Which of the following is equivalent to 2cos2(θ)−6csc2(θ)+2sin2(θ)+6cot2(θ)? a) −4 b) 8 c) 2tan(θ)…

A: solution:step 1:Givenwhich of the following equivalent to:2 cos2θ-6 cosec2θ+2 sin2θ+6 cot2θnow, 2…

Q: Let then Y F (m,n).

A: Let ,  Now , we want to show that

Q: a) Shade in the correct region B (D'U B)' U (A N BN D') U (BN A'N C') b. Describe the shaded region.…

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: H-w lo Find the discontinnitypoint of &Cz): ニ 5(2+i) 2+ci-2)Z -2i fcz) = f cz) = Sin Z

A: We have to solve given problems: