f(x,y) = /² + y?

Q: zy dy de t 5/2/2/0

A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx The general formula of integration is…

Q: ive of f(x, y, z) 1) in the dired

A:

Q: 2 dydx + f(x, y)dydx

A:

Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: f(x) = 'dt th (2) 3=

A:

Q: af Find of f (4.v) = sin ) 1+ y

A:

Q: [F-dš where F = xỉ – y°j+(x+ y+z)k

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Q: If f = 5x2y2 - XY2 then find af at (3,1) %3D dx

A:

Q: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

A:

Q: dxdy Vy X'

A: Given: ∫01∫yy21y2-x2dxdy

Q: Find fr, fy, and fz. f(r, y, 2) — вуzIn(4ry) fz fy f: =

A:

Q: find fy CX,Y) it (x,Y)=x2-8xy- 2y?

A:

Q: Integrate f(x, y)

A: The region is defined as, Consider the conversion formulae from cartesian to polar coordinates,…

Q: Find dt y = 6t + /9+ 7-t dy dt |3|

A:

Q: Use chain rule to find express answer in terms of x only. dx y = Vu² – 1 u = 4Vx

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Q: 2. Find frxz for f(x, y,z)= z² e³xy

A:

Q: Find the total differential. w = (3x + 4y)/(y + 3z)

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Q: f(x, y) = In (x²y - x) %3D

A: Here, the given function is: f(x,y)=ln(x2y-x) First to find the first derivatives:…

Q: Consider the function f(x) = 3z10 + 3z° – 3z² – 4. Enter the general antiderivative of f(z)

A: Given function is : f(x)=3x10+3x5-3x2-4 We have to find antiderivative(integral) of the given…

Q: یک 2. G(x) = L tanz et et +3 -dt

A:

Q: A particle is moved along the x-axis by a force F(x) = x² + 5x – 6 . How much work is done in moving…

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Q: Find f, and f,. f(x, y) = 13x In xy

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Q: Find fr, fy and fz. f(x, y, z) = x – Vy² + z? |

A: Given f(x,y,z)=x-y2+z2. The objective is to find fx,fy and fz.

Q: Integrate f(x, y) = y(x² + y³) 3 over the domain x² + y° 0.

A: Given function is fx,y=yx2+y23 and domain is x2+y2≤4 with y≥0 We have to integrate fx,y=yx2+y23 over…

Q: In integrating the function fx* in Sx dx using integration by parts, what would you choose for your…

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Q: Find fr and fy- f (x, y): 6e dt 4 fa(x, y) = fy(x, y) =

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Q: Find dy/dx

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Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: Find the total differential. 4x + y w = 2z - 8y |

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Q: z = √xy, dz dt t², y = -t² then 2 2 2t²) =?

A: We have to choose the correct option from the given options according to the given information

Q: y = x* + 1, y = 0, x = 1 around the ar axis.

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

Q: Find fr and fy- f (x, y) = | 5e dt %3| fa(x, y) = fy(x, y) =

A: We apply fundamental theorem of calculas and solve it.

Q: find ∇f at the given point. ƒ(x, y, z) = x2 + y2 - 2z2 + z ln x, (1, 1, 1)

A: Given function is fx,y,z=x2+y2-2z2+zlnx and point=1,1,1

Q: Find the linear approximation of f(x) = Vx-1 approximate 2.02. near a = 2. Use the result to

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Q: F(x) = F' (2) , where (t4 - 3t2 )dt %3D d. Vt dt x2 dx

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Q: cos y f(x, у, z) -D xz2 XZ

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Q: What is the I.F of dy/dx=(y+y^2)/x?

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Q: а. max f (x, y) %3D 4x + 3ху + у S. t. х+4y— 29 3D 0 х+ 4у — 29 — 0

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Q: dy when x = 2 dt х = x + 4, find y

A: Differentiation. ddx(f(x)g(x)) = g(x)×f'(x) -f(x)×g'(x)g(x)2 Where, f(x) and g(x) are the function…

Q: At what interval is y=2r4- 4x2 concave upward? U x> 3 x 3 3 <x<- 3 3

A: The given function is y=2 x4-4 x2 We have to find the interval at which the function is concave…

Q: What is the I.F of (x^2y^3+2y)dx+(2x-2x^3y^2)dy=0?

A: Find the integrating factor

Q: Find f-(x, y) and fy(x, y). f(1, y) = (y^tan(4x)) fa(x, y) : fo(x, y)

A: The given function is: f(x,y)=y5 tan(4x)-43

Q: dy/dt=0.3(y-200)

A: Separate the variables and integrate both sides.

Q: f(x, y) = /32² + 3y fz(4, 5) = VT23 %3D

A:

Q: Obtain the general solution using separation of variables dx = t(1 + t²)sec²x dt

A: Given: The differential equation dx=t1+t2sec2x dt . The given differential equation can be…

Q: y' = y sec

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Q: 4) f(x,y) =Vx +y Ans. f.= +y Vx + y?

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Q: Integrate f(x) = 10 ( 1 – x)9 where 1 ≤ x ≤ 3, Using Boole’s rule

A: The function f(x)=101-x9 where 1≤x≤3. We have to integrate this integral using the Boole's Rule.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.