Given that f(x) = 6x +5 and g(x)= x°, find (fo g)(- 2).

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

A: Let's find.

Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

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: 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: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

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

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Q: (e) x²y "+xy '- y = 1+x

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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: If | f(x) dx = 37 and Jo I g(x) dx = 14, find [4f(x) + 5g(x)] dx.

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

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

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Q: Given f (x, y)= y find the value of a²f &f_at the point (1,1). дхду а. 4 O b. 2 O c. -2 O d. -4

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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: f (x) = x³ – 23 6x + 1. | e sure to verify the c

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

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Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

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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: The temperature inside a room is given by T(x, y) = x4 + y4 – 4xy+4. Find and prove the location(s)…

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Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: If y = (x + 1)(2x – Vx), then y' will be,

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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: xỉ + yj+zk. If ū

A: In the given question, the concept of curl is applied. Curl Curl is a vector operator in…

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: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

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

A: Explained below

Q: For y=​f(x)=x3−9x+2​, find dy and Δy​, given x=4 and Δx=−0.1

A: see 2nd and 3rd step.

Q: Find the local extreme values of ƒ(x, y) = x2 + y2 - 4y + 9.

A: Given: fx,y=x2+y2-4y+9

Q: ( If f(x) dx = 4 and g(x) dx = 4, what is the value of dA where D is the rectangle: D 2 <x < 5, 1<y…

A: Solve the following

Q: (c) Find PMF of X and using that find E[X].² (d) Find P(Y > 5 | X = 3)

A: Joint distribution:PX,Y(x,y)=223614x-113y-1; 1≤x≤yMarginal PMF of…

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

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Q: If f(x) dx = 37 and g(x) dx = 18, find 6. %3D [3f(x) %3D 4g(x)] dx.

A: ∫09f(x)dx=37 , ∫09g(x)dx=18

Q: 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1x2+y2(xdy-ydx)=0 We have to determine whether it is exact or…

Q: For f(x, y) = ln(2x+16)/(2y+16) , find the domain.

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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: Q = - ST 8-x²-y² x² + y² y dz dx dy

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Q: Find dy for the given values of x and Δx. y = 6x3 - 7x ; x = -3 and Δx = 0.3 .

A: