Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

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

A: Let's find.

Q: + The Range of y [2x + 1] is Z. %3D TO FO

A: We can use the concept of function In order to solve the given problem.

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: ² f r' రy2 Əx? dy? dz? x² + y? + z²

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Q: f (x, y) = 6xy+ 2x²y + xy².

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Q: (a) (Xn+r)nzo for fixed r≥ 0,

A: Markov chain: A Markov process with discrete time and discrete state space is known as Markov chain.…

Q: f(x,y)=ylnxsinx, find fxxxxxy(π,1). Keep your answer to 3 significant digits.

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

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Q: Find dy for the following equation. y = 3xV3 - x4

A: For evaluating dy, we just have to differentiate y w.r.t x using the product rule.

Q: f(x, y) = 2x – x² – y? %3D -

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

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: Find & for f(r, y) = y- 4ry + 5y .3 2

A: Using partial derivative.

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: Find d²y/dx² for the following equatio: f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

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Q: Eo f is y = 1(a- 4). 3D1

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Q: Find d2y/dx2 in terms of x and y. x2 + y2 = 3

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Q: If f(x, y) = (18x ), then Te is given by: 9. -

A: It is partial derivative with respect to y differentiate with respect to y using chain rule and…

Q: Q2. Find of y = 4x/x + v at x=1? dr

A: We have to find the dydx of y=4xx+x at x=1.

Q: w=z/3y−x, solve for y.

A: The given equation is

Q: Find the values of r for which y = e"* satisfies the equation y +2y -8y=0

A: The given differential equation is: y''+2y'-8y=0

Q: y"'-3y"+2y'=t+et

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Q: dx Cane:2e-25x

A: 13)

Q: Given f(x, y) = - 5a4 – 4x²y³ + 6y°, find - fa(x, y) = fy(x, y) = %3D fez(x, y) =

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

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

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Q: Find the values of the constants a, b, c so that F = (axy + bz3)i+ (3x² – cz)j + (3xz? – y)k Is…

A: A vector F→ is said to be irrational if and only if cure F→ =0 i.e∆ x F→ = 0Given F→ = (axy+bz3) i^…

Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

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Q: Q3) If y² + xy = 1, find y" at the point (0, -1)

A: We will differentiate twice and find the value of y" and it will be equal to,   - 1/4      The…

Q: For the value of b will y=x^3 + bx^2 + cx + d have a point of inflection at x=1

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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: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

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

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Q: [v= -y +2x ,x' = 4y + x + t

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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: dy Find dz given that y = -2 – 8z². z=-3

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Q: f(x, y) = /322 + 5y²

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Q: Q6 Find dy, if y- +++

A: Given :y=xxx

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: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: Find EF in the trapezoid. x+6 A, 2x EF =

A: Given trapezium of ABCD, Given AD = x+6 EF = 2x BC = 0 From midpoint segment theorem, EF = (AD+BC)/2…

Q: v x +y = 2xy + 4x; at x = 1 and y = 3

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find EF in the trapezoid. A 5 E F 3x+5 7x+2 EF=

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Q: dy Given y= x³In x, -is dx A 3x2In x B B 3x2in x+ x2 ( c) x2 D 3x2

A:

Q: Find fxxy given that f(x, y) = e^xy^2

A: Given,   f(x,y)=e^x *y^2             we have to find fxxy

Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: dz Find from the equation x*y+ x z+ z² = 4 ax

A: We differentiate both sides with respect to x, considering z is a function of x.

Q: Find d²y/dx2 for the followi f) x2/3 + y2/3 = 1 %3D ³ g) x + y = 16

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Q: d²y and evaluate at (1, - 1): .2 Find X = t + 1 y = t2 – 1

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Q: Given f(x, y, z) = 6x2 + 2y? + 3z², find

A: Given,          fx,y,z=6x2+2y2+3z2

Q: Q3) Find fog(x), gof(x), D, D fog' gof x+2e f(x) = » g(x) = vx – 2 %3D 2

A: Solution:-