• The Doman of f(x) = 4-Vx is 1. (2, co) 2. [-2, c0) 3. [2, 0) 4. [-2,2]

Q: f= x? + क) | + ला (i) of =? (üi, af मु] liv) of

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Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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Q: FCx): 2x-5xナ3 find f'co).

A: We are solving the first question and for the next question post the question again and also mention…

Q: f(X1,X2) = f(X1). f(X,) If are not 1 independent then ylgn

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2. If f(x)=x² -15 and g(x)= 2x+11, a) find (f °g)(2). b) find (gºg)(-6). c) (g•f)(x).

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Q: W = spanR{1, cos² (x), sin² (x)} = R + Rcos² (x) + Rsin²(x) Justify for each of the subsets {1, cos²…

A: Given: W=spanℝ1, cos2x, sin2x=ℝ+ℝ cos2x+ℝ sin2xWe need to justify for each given subsets that it is…

Q: f(X1,X2)= f(X,).f (X2) If X,~N(H1,0) X2~N (H2,0) are not independent then ylgn ihi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: For the linear operator L = D^2 −4D + 8, determine L(y) for y = e^(2t), y = e^(2t)sin(2t), and y =…

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Q: PLS HELP ASAP ON ALL

A: 4. Given:f(x)=π2Getting the derivative, we have:f′(x)=dxd​(π2)Since π is a constant, the derivative,…

Q: *) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are…

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Q: Q3. Show that дхду for дудх f = x² siny – 2y³ cos2x (

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Q: 4) Let f(x) = - ax"+1 and a x) = 4X-3 5:) f(x) = Fxan? find the 3 first f,g and h. uch that (fo gohl…

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Q: Find the value of fææ + fyy at (1, –1) when 3 + x² + 2y?. xy f(x, y) 1. (frr + fyy)- -7 |(1,–1) 2.…

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Q: The Domain of f (x) = V1 – x is 1. [-1, 0) 2. (-∞, 1] 3. (-0, 1) 4. [1, c0)

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Q: Suppose z = x + iy and f(z) = z - 1. Find w = u + iv such that f(w) = 1 + 3i (A) 3+2i (B) 3-2i (C)…

A: We have given that , fz = z - 1 , where , z = x + iy Here , w = u + iv Let , fw = 1 + 3i We need to…

Q: What is the B of f(x, y) = tan (x3³+ 2xy)? [sec ² (x²y³+ 2xy] (3x²y² +2x) [sec² (x²y³ + 2xy ] (+²+*+…

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Q: 2- Find the third derivative for əx3 for f(x,y) = sin) )+2 sin) sin)+3cos°) 8y3sinz s()+2sin()…

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Q: let it be 2= f(x,y) and Y=tan' () and X = === In (r²+5²) Prove that fxx+fxy= (y² + S) (fr+fso)

A: We have to prove

Q: 7. Which of the following sets of functions is linearly dependent on R0,2? (a) {6, z, sinz} (b) {1,…

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Q: 3+ 2x² + y², find all second derivatives 5. For the function f(x, y) = v fe: fy and f"y. Show that…

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Q: 8(x) 48. f(x) 2 - x' In Exercises 51–60, show that f(g(x)) = x an dom x - 1 g(x) of 51,fx) = 2r + 1,…

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Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e"…

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Q: dz (2) Suppose z is a function of x and and suppose cos(32) xyz?. Find in Y, terms of x, y, and z.

A: The given function is, cos3z=xyz2

Q: A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

A: Find S'(t)?

Q: Say whether the function is even, odd, or neither. 1) h(t) = 3t + 2 2) g(x) = cos x + secx %3D s +s7…

A: Let assume a function f(x)  f(x) is said to  Even if f(-x)=f(x) Odd if f(-x)= -f(x) It is neither…

Q: Find the value of f(0) when 3 sin(2t), f( f'(t) 1. f(0) 2. f (0) 3. f (0) 4. f(0) 5. f(0) = = = = =…

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Q: Verify that the given function u is harmonic in an appropriate domain D. Find its harmonic conjugate…

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Q: Consider the following bijections on R: f (x) = - g(x) = x – 7 Then (f o g)¯'(x) =

A: Given, fx=-x,gx=x-7 Find the value of f∘g-1x.

Q: Show that fi (x) = cos x , f2(x) = cos 2x are orthogonal on [-7,71]. %3D

A: This is a application of integration problem

Q: (1) Let f(x) = 1,x > 0 with domf= R4+. Find the conjugate of function f(x). %3D

A: given fx=1x , x>0 with domf=R++ claim- find the conjugate of function fx

Q: Find y as a function of a if y" - 3y" y + 3y = 0, y(0) = -7, y' (0) = -4, y" (0) = 9. y(x) =

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Q: Letr' (t) = (3 + 4t, cos(t), 6e³t) and 7(0) = (7, 2, 5). Determine r* (t). r(t) = ([ (..)

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Q: (2xy + 3x²)e +(x² – 2yz + 2y)e,y- (e² + y²)e, olan f(x, y,z)

A: Given

Q: Q13) {t+sin² t} = (A) + 1 [-] (D) 3 + 1 [-2] s²+4 (B) 3+ [4] (Ⓒ) + -] +4 (E) +-

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Q: Example If F[f(t)] =e/(1+f^2) find the F.T of F[f(2t)] 1+f2

A: Given:Fft=11+f2e11+f2To find:Ff2t

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.