3 If f(x) = Vx and g(x) = x° – 23, simplify the expressions (fo g)(3), (f o f)(4), (g o f)(x), and (f o g)(x).

Q: Q4 If f (x, y) = x sin y + ey asf ax2ay3 Find

A: Let's find.

Q: In the given question  as follows  ,determine whether the statement is true or false. If it is…

A: x=ft  &  y=gt Differentiating with respect to t, we get dxdt=f't  &  dydt=g't Now,…

Q: (c) -7x+12x = 2 given that at t 0, x 1 and i 5

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Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: Q2) f(x,y) = 2xy x(s,t) = 3s-2t and y(s, t) = s²+4t. Find Je Je as at

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Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

A: Given function is: f(x,y)=xey22+118x2y3 Derivative of function with respect to 'x'…

Q: f(x,y)=xe*/2+275x²y³, then at (1,1) is equal to əx²əy³

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Q: If y is a function of x, then the equation (y – a)dx + 3ry²dy O is not + but both and with n= After…

A: This question is related to diffential equation.

Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

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Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

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Q: Find the general solution (y, x, C) = 0 to the following ODE dy x(7 — х — 2у) - у (5 — х — у) dx

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Q: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: a) Are Y1 and Y2 independent? b) Find V(Y1 – 2Y2), if we know that E(Y,) = E(Y 2) =}.

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Q: Using WXYZ from the previous question, if WY = 32, find XY. %3D

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Q: Given the multiple variable function f(x, y, z)= Ax*e» - Bz cosx*y°)+Cx*y*z?, where the coefficients…

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Q: Obtain the GS of: 2 (Згу — 4у + 6) dz + (23 — ва? ? — 1) dy %3D 0 - a. x³y – 2x?y3 + 3x² b. x3у —…

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Q: Equating the coefficients of t" of the following equation E{{a,(z) + 2zn a, (2)]t"+1 – a', (x) t" –…

A: The objective is to obtain the relation when coefficients of tn of the following equation is equated…

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

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Q: %3D 3. If GH = 7x + 18 and JK = 81, find x. H G 丰 K 廿 世

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Q: Given: f(x, y) = x³y – y cosh xy Solve for D132

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Q: express in the form y = f (x) by eliminating the parameter x =  e−2t , y = 6e4t

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Q: Q4: Find fa, fry fx and fy for f(x,y) = e*/y

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Q: Given f (z, y) - 3z +2y +1, find the value. %3D 5 (§. ±) - The value of f

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Q: If f(r, y) = (3r" + 21 – 12)', then fy is given by : %3D

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Q: Find 0?w/axdy if w = xy + ey y2 + 1

A: Given that: w=xy+eyy2+1

Q: f(x.y) = x³y – . Calculate Se af and əx ду

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Q: Q2: * Q2: y" + ay' + by = f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t? – 1 %3!

A: Giventhat:¯y+ay'+by=ftand yp1=et+t2-1 and yp2=e2t+t2-1To find:¯a,b and ft

Q: Show that the equation Əy + 2k Əx? possesses solutions of the form 00 2 c, e-kt 1" =0 Σ cos (a, x +…

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Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: For f = p:2 cos 20, find Vx (V). %3D

A: We have given the function f=ρ2z2cos 2ϕ. Since f=fρ, z, ϕ. Therefore, the del operator "∇" is…

Q: Find the value of n in the function w = x •rn satisfies the equation Wxx + Wyy = 0, where r2 = x² +…

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Q: 3. If PQ = x - 5, QR = 2x – 1, and PR = 21, find x. %3D

A: Explained below

Q: (b) If f (2) = (249 + 8) e8ɛ, then at how many points the function f (2)is not differentiable? (c)…

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Q: Solve y' + y = f (t) with y(0) = a, where f (t) is shown on pg 577, #37 (sawtooth wave)

A: As the Laplace transform of the function f(s) is given in the question, will use Laplace transform…

Q: If we use Trapezoidal rule to approximate * f(x)dx then find the value of x2, where n= 6 Select one:…

A:

Q: Q.1 Put the D.E (x – 1)y" + 4.xy' + Ay =0 , in self-adjoin form .

A: If the diiferential equation is a0xd2yd2x+a1xdydx+a2xy=0 then its self-adjoin form will be…

Q: (a) Find T and S, of y= 2 x +2 for z E (0, 1]. To do this complete the following table f(z1) and…

A: As per Bartleby's answering policy, we can answer only one question, So kindly post the remaining…

Q: If we use Trapezoidal rule to approximate * f(x)dx then find the value of x2, where n= 6 Select one:…

A: The Trapezoidal rule formula is ∫abf(x)dx ≅ h2f(x0)+ f(xn) + 2( f(x1)+f(x2) + .. f(xn-1)) h = b-an =…

Q: n f(z) = e=y sin x

A:

Q: Suppose z is a function of x and y. and tan Vy? + x² = 2"e6y dz dz Solve for and

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Q: By solving the equation y'(t) = sin(9t) – 81 y(u)du with y(0), we obtain the convolution y(t) = sin…

A:

Q: F.n) ds, w e given by

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Q: For x=In /t y=2, find y" when

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Q: əz If z? = y sin(xy), find ду at the point (-1, ,1) b)+1 c) - 2 d) -- 1 a) - 0.5 e) 0 f) 1 g) None…

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Q: C. Given that y = e* sin x, show that d?y +2y 0

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Q: 4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

A:

Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t2 – 1

A:

Q: If y1=2x+4 and y2=x^2+C, find the value of C such that y2 is tangent to y1. O A. 6 В. 5 О С. 7 O D.…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.