- h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

Q: What is the degree of f (r, y) = (r + y³)' %3D

A: Given query is to find the degree of function f(x,y).

Q: Show that rejst =rcjs(-0)

A:

Q: how that y y= re) xrem) aum coheore D 's the domain x20, and

A: Putting xa=X and ya= Y the given equation will be changed into ∫D∫aXl-1aYm-1a2dXdY   where D is the…

Q: what is the Solution ofequation とdx +(2Xlogk - メy)dyニ。

A:

Q: If X = V1 -t and y = t ' - 2 t ,what is y'when ! = -1? 2 A) B) - 2 V7 C) D)

A:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: I e wing pofial fretins. Integante AS. 7x² - 13x + 13 (x-2) (xt- 2x +3)

A: ∫7x2−13x+13x−2x2−2x+3dx

Q: If w 5x2 + 2y2, x = -3s+t, and y = s – 4t, find in terms of s and t. Provide your answer below:

A: Given:   w = 5x2 + 2y2     x = -3s + t      y = 3 - 4t

Q: Q1. Verify that y= is a solution of the DE -20t y + 20y = 24 %3D

A:

Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: d. y= xsin.r [0, 2r]

A: the given curve is  y=xsinx,   0, 2π

Q: Find, from first principles, fa(3, –1) for f(x,y) = 4x²y? + e® .

A:

Q: E ind The Domain and Rana y=X+2 x²- 3 131

A: A detailed solution is given below.

Q: - Given that (x- pXx-5)%3Dx-qx+15, find the value of p and q.

A:

Q: и the surtace xe" + y? - 2(а" - т) — en? -оis simple, then possible values of n and m are :

A:

Q: Find x²dA where R R = } {(x, y) | 4x² + 16y? < 64

A:

Q: f(x, y) = 3x – 2y x² + 2 + 2y? = 275

A:

Q: which equation has al siope of 2 and contains (-1,-1)? a y-1 = 2 lx -) c) X -1 = 2ly-1)

A:

Q: xi+yj+zk Q5/ If F = find curlF.

A:

Q: Find Prti= (r+)P,+m analytical solution to Simplity as much possibe. as

A: We are given the following expression.       Pn+1=(r+1)Pn+m Let us denote a=r+1. So,…

Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

A:

Q: P + 7, y = t' + 6t, t = 2. d²y %3D 7 dz

A:

Q: Jo x² +6x+10 n of the trapezoidal ru idal Lru Owit

A:

Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: b.y" — у %3D 3t + 5, when y(0) 3D 0, у' (0) — 0

A:

Q: Now gx y"_y₁-2y=C₁e +4c₂e² २०७ +4₁e - alge 20₁0 x 2c2e

A:

Q: D Find the Constant c that makes f Continyous for a. reql nymbers f6)= %3D

A:

Q: r+ 2y = 4 3r + 8y %3D I =?

A: Simultaneous equations are two or more equations which involves two or more quantities that are…

Q: A 3B are 4x4 Martrices, det(A) -3 det(B) =5 a) de t(A) = detA b) def (AB) = (-3)(5)=-15 Ò def (GzB)=…

A:

Q: Q Evaluede ds where c is Linesegment fromcい3)のしら、-2)

A: Given integral is ∫c2x-y2ds from (1,3) to (5,-2)

Q: (D3 – 2D2 – D + 2)y = 10sin2x – 5cosx - -

A:

Q: Given that y= 6t^3 +1 and x = t^2-1. Find y’ when x=6

A:

Q: To solve the sgstem in the methat of eliminating variables, x+y +Z =2 X +2y-Z =6 2X +y-Z =5 of

A:

Q: Find x and y in terms of a and b. ax + by = - 5 bx + ay = - 5 %3D

A:

Q: What is the axis of symmetry for h(x) = 2x² – 4x +1 ? OA. X = O B. X = -2 OC.x=- 1 4 O D.X = 1

A: A graph of a quadratic function is a parabola.  Let the standard form of quadratic function is  y=…

Q: 3 By using the first principles, differentiate (x)= 3 S'(x) = %3D Answer: 2x2

A:

Q: 2y is equal to V27x O True O False

A:

Q: b) Use Convolution theorem to find £-¹(2) S3+45

A:

Q: Toprove dp x+ Pfz +レFz dz -fp

A:

Q: D= {xlx<3). つメスる?

A:

Q: Give your answers in the form ax + by = c. с. a AB: y = 2x+ 11; midpoint (-4, 3)

A:

Q: Verfy ST F:(x²ty?)£- 2x ta; y=0; y>b Ans; -49b

A:

Q: RS is a midsegment of AXYZ. Y 16 6. R 11 Z

A: the given figure, we have to find the perimeter of ∆XYZ

Q: 4. If RSTU is a rectangle with RT = 5x-14 and US = 2x + 10, find x. S R U T

A: We have to find value of x? Given: RT=5x-14 &amp; US=2x+10

Q: In APQR, mZP = (4x mZQ = (5x + 6)°, and m/R= (x – 2)°. Find mZR. — 14)°, -

A:

Q: EXAMPLE: FIND a2z a?z a2z AND дx2 дудх 7. z = 3x²y3 – 4x*y?

A:

Q: Find all the pairs of integers (x, y) that satisfy 287x – 406y = 27.

A: This is a problem of Diophantine equation.

Q: (y³ – 3y + 2)/9 + x²dx + x²dy = 0

A:

Q: For f(*) 3D и? — 6х + 9, use the discriminant to determine the number and type of solutions.

A: Given that f(x)=x2-6x+9 by using the discriminant determine the number and type of solutions