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Q: (6) y" +16y = g(t), y(0)=0, y (0)=1, %3D g(t) = { 1, 0<t< T 0, %3D

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Q: y 10 (x, y) (6,2) -10-9 2 3 4 5 6 7 8 9 10 -1 -1 -7 - -2 -3 -4 -5 -7 y%3D 6 -8- - -10 tho distance…

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Q: 1 [x²Pn (x)dx, n=0,1,2. -1 Q.3 Evaluate:

A: Legender's Polynomial:       We calculate Legender's polynomial by using Rodrigue's formula.…

Q: find δƒ/δx and δƒ/δy.13. ƒ(x, y) = e^(x+y+1) 14. ƒ(x, y) = e-xsin (x + y)

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

Q: 2) 4)=1-ス 3x f(2)= (-)?(2) f(3)= (-*)3(3) f(4) = (-+)*() f(s) = %3D : (-) %3D こ %3D こ-」 64 %3D 4096…

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Q: c) Sinh3u = Sinh'u + 3Cosh'u.Sinhu = 3Sinhu + 4Sinh'u d) Sinh'u- Sinh'v Cosh'u-Cosh'v

A: We have to show that the following results

Q: 6. 4 x+y 2.2. Find x, y, z,t where 3 2t z+t 3

A: Given: 3xyzt=x6-12t+4x+yz+t3   So, 3xyzt=3·x3·y3·z3·t=3x3y3z3t And…

Q: If -6x° + x* -y 3x+y? 3. if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)= %3D

A: We have to find partial derivative of given function.

Q: 40! p(X =x) = „ х!(40 — х)! (p)*(4)"* 40-x , х %3D0,1,..,40 : A V(x) q 0.1 Lae О 2.5 1.4 О 3.6

A: Given that  Probability mass function of X is  p(X=x)=(40!/(x!(40-x)!)*pxq40-x  , x=0,1,_____,40…

Q: (6, OsI<A ). y' +9y = g(t), y(0)=1, y'(0)=3, where g(t)= 0, ISI<00

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Q: iid Let X1,, Xn N(u, o). Find 2(n 3) (X2+ + X(n-2)) + 16 X(n-1) +Xn if,E(i) 16 17(n-2) 16(n-3) 4…

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Q: x3+y3 x+y If u = = In ди X ?x In ( ди + у ду then find the value of ?

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Q: 4sin(2x)=4cos(x)

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Q: et ● t'(x) = 805x4 (x),1 O %3D O t'(x) = 80(e)-(e*)(5x4) (x),1 e2r e2x ((*(-(,r5)(,2) 08 = (x),1 C…

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Q: O A x =-2, x=2, y=1 O B x=-3, x=3, y=0 O C x=-3, y=D0 OD x=3, y=1

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Q: Using Reciprocal Substitution * For S x²(®1+x+j{ 1 4(81t* + 1)3 81(81t* + 1)5 O Option 1 Option 2 1…

A: The given question is related with integral. We have to find the integral ∫dxx281 + x434  by using…

Q: 37. y+ x2 = y* – 2x at (-2, 1) and (-2, –1) %3D 38. (x² + y) ² = (x – y)? at (1, 0) and (1, – 1) %3D…

A: A) given curve, y2+x2=y4-2x  at -2,1 and -2,-1B) given curve,y2+x22=x-y2  at 1,0 and 1,-1.we have to…

Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

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Q: Qas: Denolop fex) the ouries in Seales, it defined as: -1<えく0 S -3x , 32,f o<ん<1

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Q: (vi) f(z) = 0.3(0.7)* , z = 0,1, · - ', (ix) f(z) %3D %3D =(*+1)z = 1,2, -

A: Expectation of a Discrete Random Variable: The expectation of a discrete random variable X, denoted…

Q: X1 X2 X3 S1 S2 8. 1 1 9. 1 8 -2 2 5. 1 20 X1 =, x2 =, x3 =, s, =, s2 =], z = ] %3D %3D %3D %3D…

A: Given : Simplex table x1 x2 x3 s1 s2 z   8 0 3 1 1 0 6 9 1 8 3 0 0 4 -2 0 2 5 0 1 20 To…

Q: 3 - 9, y(0) 33 - 30 – 13 a(t) = y(t) = %3D

A: Given,       x'y'=53-30-13xy     x(0)=-9, y(0)=33

Q: [x-²sec (an ² (2) dx 7 2tan ²2 (²) - 7tan² ( 1 ) - ₁ X + C 77 11 2ten* (²) 2³(-).c 2tan X - + +C 11…

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Q: y = (2x2 + cotx)³ P a. y' = 3(2x² + cot(x))² (4x – csc²(x O b. y' = 3(2x2 + cot(x))² (4x – cot?(x) P…

A: Given query is to find the derivative of the expression.

Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: y = -x^2 + 4x , y = x^2 - 6x + 5 , x = 0,x=1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units O…

A: The given problem is to sketch the given graphs and intersection points and also find the area…

Q: aw & ar aw Example 4: Find ,in terms of r&s if w=x+4y+z? , as x=- y=2r2 + In 2s &z=2r

A: Given : w = x + 4y + z2 To find the partial derivative of w  w.r.t r and s  First put value of x,y,z…

Q: 3. f(x,y) = x³sin (2) %3D

A: We will find out the required value.

Q: how do i find the distance between these two points

A: The given points are (x, 3) and (3, 4).The distance between the points is √2.Use distance formula to…

Q: y = 5° and a is increased by 2, then... %3D Oy increases by 2. Oy increases by 25. increases by a…

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Q: 5 PLAB)- and P)=8 then the probebility that both Aand B Occ ur

A: Given, PAB=0.5,  PB=0.8 To find PA∩B

Q: fos (2y)Sinlayldy

A: Given integral is ∫cos2y2⋅sin2ydy Substitute cos2y=u ⇒−2sin2ydy=du⇒sin2ydy=−du2 Hence, the integral…

Q: 2 0.8 f(x, y) ,2 + fe af

A: Given function is, fx,y=x2+y920.8

Q: 1 S √4x²-9 Ocosh-¹+C -1 -1 Osin ¹+C Osinh¹+C O None of the choices Ocos ¹+C -1 dx

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Q: 1.) y = ,"(x* + )d. 3 1.) у 3 /1-х2, 2.) у %3D S Vu du

A: Newton-Leibnitz rule :                ddt∫g(t)h(t)f(x)dx=f(h(t) dh(t)dt   + f(g(t) dg(t)dt Note…

Q: Solve y - {x) for x. Then find the input(s) when the output is 2. Ax) = (x- 8)? - 1 O x=t/y+1 +8;…

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Q: Discuss the continuity of the functions f and g. Explain any differences

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Q: ODE xy'+y=0 لا أحد من الآخر O ص = 0 O اص = س +2 س O ص + س = 5 O القيم الحرجة ل (x,y) =…

A: Given

Q: = y, x = y- 2 13. y = e*, y = e2*, x = 0, x = In 2 14. x = 1/y, x = 0, y = 1, y = e %3D %3D

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Q: 2A T -t + A, 2A --t + A, T -T t≤c 2 T 0 Osts 1/2

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Q: y=x? , y=x+6 , 2y+2= 0 (1,9) (0, x-intercept : (-6,0) y=0 zy = -2 y= -| A (-6.0) 10,0) y-intercepti…

A: The region is bounded by the curves,y=x3 , y=x+6 , and 2y+2 =0 Finding intercepts,y=x3  (passing…

Q: T = i+ R+1 +1 1 N = i+

A: answer is in next step

Q: (2+i)Z = 3+4i Y-Z = 2+i

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Q: 5. y" + 3y" – 4y = 40t²H(t-2); y(0) = 0, y'(0) = 0, y"(0) = 0, y''(0) = 0 %3D

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Q: H ome Work: U = {x : x €N ,10 M x N 1} IF A = {2,4,6} , B={1,3,9} , Find AN R AUR

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: Let X-(1,0,- 1,-V2). Then, |X|l3 = %3D Select one: a. 2+2/2 O b. C. 2 O d. arch

A: Answer :

Q: '0- DXJ 1- E K 2- DxF 3- Show that A×C÷C×A

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Q: 6x + 6 13 dx Evaluate - x4 -3 О З2? + 2 - 13x + C, Where C is the parameter O 3x2 – 2 3 – 13x + C,…

A: We have to find

Q: Use the graph of y = f(x) to graph the function.

A: Consider the given:…