Q3: (@ Two (x) are funatrion x) and called Ucrthogomal Satisky the condition a0xdx-0. Show that ik a 56)-1, g6)=x, then ve othogonal n snedewal Fa,1].0efeimthe Constart A and B 80,unebon h(x) =1+ AxtBr 3 C0thogonal to t (x) andU gx) at same nterval. gla)%=x, %3D they 2.

Q: V=xincペッゴ)- y bii 24 Gan prove メT5 I V, = V +2X

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Q: sin z In(sec z) dr

A: Answer and explanation is given below.. For 17 and 18 please repost the questions

Q: 28- For What values of a anel ら -2 fCx) = ー<くく %3D ax-b Continuons at every x ?

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Q: Sketch the graph of the function and express the function in terms of the unit step function, u.lt).…

A: We will find out the required values.

Q: (b) 3x + 2 in Z,[x]

A: Given that 3x+2 in ℤ7x. We have to find all associates of 3x+2 in ℤ7x.

Q: stw j X = Sin (stw,y< %3D z= Stttw, find f

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

Q: A Îs the fuuction 2x -3 fex): Lax-xz7 2くXSS Satisfy the hg Potheses of th Mear Jalue T, eurmé

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Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: Given: In the first octant, evaluate∫∫∫E5y2dV , where E is the requirement below x + 3y + 6z = 9 .

Q: Let 10yx⁹ F(x, y, z) = (9x8 ln(5y² + 3) + 3z¹0)i + (- +4z)j + (30xzº + 4y – 4ñ sin лz) k 5y² +3 and…

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Q: all Cany )eR?. Ex ercise:- ilay) #(o,0) ,(mig)=(0,0) show that f x nd fy exist. for TSn't Cond at…

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Q: の X(0)=0 X6) = 0 2. ニ

A: In the given question we have to tell about the eigenvalue of the equation s.t…

Q: Evaluate sczxay) dx^ (x+ 3y) dy along the poth C: ure on y =1-3 from l0,)) to Cl,0)

A: Line integral problem......

Q: If F(x²_ye, ye-z?) = o then Prove that + XZ Z 2Z · Rx =

A: Given Fx2−y2,y2−z2=0 We have to show that yz∂z∂x+xz∂z∂y=xy The function Fx2−y2,y2−z2=0 can be…

Q: Let flup be differentia ble function f x & ys Satislyng df (9,0) = 2 f (,1) = 3 J E,): -3 dy f Co,0)…

A: Question: A function fx,y satisfies f0,0=1, ∂f∂x0,0=1,∂f∂y0,0=2,∂f∂x1,1=3,∂f∂y1,1=-3 Let st is…

Q: (1).p^((Vq)^-p) → q); (2). ¬(p →(pVg))^r.

A: WFF is a well formed formula. There are three types of wffs: Atomic formula: A predictable symbol…

Q: 3. Bir f (1,y, 2) = ee cos 5z fonksiyonu veriliyor. a) grad f (r, y, z) =? bulumuz. b) Bu…

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Q: Let z(x, y) = xe* + sin xy + y - In 2 then a a) -In 2-2 b) In 2-2 2 c) 2 (²-1) d) - 2 (²+1)

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Q: Use Simpson's 3/8 rule 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 Y(x 3.029 2.849 2.797…

A: Numerical integration, Simpson's 3/8 rule

Q: 13. In AMNP, if mZM = 4x-3, m/N = 9x- 6, and m/P = 6x- 1, find x and the measure of each angle. mZM…

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Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

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Q: cu Ifu =(x* +2yz,y +2:x )Prove that (y' - a)+(x-y= + (-xy) cu =0. - EX

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Q: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

A: Given:

Q: *י 4** *)א hauoded

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Q: Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even…

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Q: limp-→n/2 (n² –4B²)sec|B|

A: From the rule of limit, limx→af(x)g(x)=limx→af(x)limx→ag(x) So,…

Q: Determine the followinig ntegrals by nse of tables where possible: .1 (Partial Fracows

A: According to our terms and conditions I have solved first part for remaining questions please repost

Q: O If z-frxy) show that つる

A: As per our guidelines we are supposed to answer only one question. For the solution of the problem…

Q: 3. At what points (2,y) the the fllowng are functions Contineous as feig 2 + CoSx fey) ) f (2,y)-…

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Q: Using intermediate Jalue theorem, the Pont functiun Pin) - -xs_0,5 has a soot 2²-0,5 has a rost Over…

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Q: Compule bethan eact aud numecild Velore 123_3/117-48)* 17E57) to use the odler hat@ for derikate to…

A: solving part (a):

Q: 10) If the step (h)-0.5 for the interval [0, 9], then by using Trapezoidal, the number of data…

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Q: at 2 Find absOIute maximum & minimum value fu)=x²-1 on [lile)

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Q: No Date ex - e-x ) «) If find in terms of yonly.. b) Find value of k extrema atx=-1 so that fa) :x³+…

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Q: In find the position function X(t) of amoving p article with Hhe given accelera tion act) , inital…

A: Find position vector of a(t)= 1/(t+1)3