P2: Calculate 2 ( aik Xi Xj Xx) where the Chijk are constants

Q: What are the P(x) and Q(x) of y' =y-xy³e2Xrespectively?

A: Given the differential equation is: Since

Q: Q2/ Fin x in the

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Q: 2) Use the antiderivative to find the exact answer for (hint u=3x) 1+9x²

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Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

A: Note: Given proof statement has a little mistake, I have proof the actual result. First i have…

Q: 11 Compute x2+ where x =i- 1. Answer: 2.

A: We have to find the value

Q: Determine 1ocal 0XTrema for h(x) ) = x3 + 4x² t 48X +9 b- USIng the first derivatve Test.

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Q: Q4. Let flW=( Gué-4u-7) (4ax4 -8x#+15) Find tle regueetad closiuadtiul (10)

A: Given,

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: 222 – 7z (z – 1) (z – 3) - -

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

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Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: – 10x J (2x – 3)(x + 5) 11 - - Evaluate + C

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Q: Describe the long run behavíor of f(r) = r° – 3r° – 2rª + 5 %3D - -

A: The long-run behaviour of a function is the behaviour of the function at its endpoints of the…

Q: Q2. Calculate (aijkX;XjXx), where the aijk are constants. axi

A: Here given that aijk is constant

Q: Prae that x4 -5x +3 is ineducible ouer Q

A: Given polynomial is f(x)= x^4 -5x^3 +3

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: A projectile is fired vertically upward and has a position given by s(t) = - 16t + 288t + 304 for…

A: s(t)=-16t2+288t+304 for  0≤t≤19

Q: Use Cramer's ru;e to fins a solution: 5x+4y=12 3x-6y=24

A: System of equations are 5x+4y=123x-6y=24

Q: Find fsh r div poive 2 40) f"&) = 20xs +12x²+4, f(O) = 8, f() =5 %3D

A: topic - integration f(x) = x5+x4+2x2-7x+8

Q: (c) Use a calculator to verify that x = 62, x = 10 = 1042, y = 650, y = 95,502, and xy = 9,765. %3D…

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Q: Express in the form x + jy Q7/ (2) In(3 – j)

A: Solution:-

Q: a2 Q2. If a¡j = aji are constant, calculate (aijX;X¡) axkəxi

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Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

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Q: -2t 7. f(1)=3e" cosh (In 2r) in two ways.

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Q: 2017 J Q3 + V5 in the form a+bV5, where a and b are integers. Without using a calculator, express -2…

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Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: a2 z a2z If z = In(x² + y²), find + 2 Əx2 ду?

A: The given function is z=ln(x2+y2).

Q: Suppose v(t) = 6t² - 3t on the interval [3, 5]. What is the displacement on [3, 5]? O 160 O 165 O…

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Q: and こ=< ,フ-<o,-1y. where %3D Pind マf(2)?

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Q: nd y axsis labelled ?

A: Morphospecies on A Morphospecies on B Morphospecies on C 7 13 3 7 9 4 2 4 4 4 4 2 11 14 10…

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: 2t (t - 7 dt

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Q: B increases as µ deviates from µ, when Ho is false

A: Here use basic of type 2 error in graphical form

Q: By using this 3B=5 St Xj <B Vj EN Poove

A: See the attachment

Q: 3 Q 4. Differentiate Vx2 Vx2 2 +

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Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki

Q: Q2-Prove tut- va" - r* ify =()()+ ()F-7 if y =

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Q: Q2/ (A) Evaluate 4-x x3 2 dydx 4-9 Ans. 16 8 e

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 5lim V3+x-J3 8→0

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Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Q4. Find guerel polution of following systens uning either method' of undetermind coefticients or…

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Q: 3) Let B = Find Least 10 - I- square salution of Bx = 6

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Q: 5. Compute divF and curlF for F = x²yî – (2³ – 3x)ĵ + 4y²k.

A: In this question we have to find the curl and divergence of the given vector which we can find out…

Q: 1aar = |1a – 1g| AAB ΑΔΒ

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Q: Use the Midpoint rule to deterine the Intergral for the error Function (erf)(belou) 4caurete to…

A: ∫01e-x2dx here we can take 4 interpolation point so n=4 so h = (1-0)/4 = 0.25 x0=0 x1=0.25 x2=0.5…

Q: 1 Use a trig substitution to evaluate J Vex - 36x +37

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Q: Determine the z-value of x=25 if H 16 and O 3. %3D

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