If z is directly proportional to the product of x and y and if z is 21 when x is 6 and y is 7, then x, y, and z are related by the equation z =

Q: If J_f{x)dx=10 andJ, f{x)dx= 3, then J, f(4 – x)dx=?

A: According to our guidelines we are supposed to do only one question. Kindly repost the other…

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=16 is 5x+8y=56…

A: It is given that, an equation of the tangent line to y=g(x) at x=16 is 5x+8y=56.

Q: Solve the given DE y'= X - x 3 — 2y 3 3ху 2

A: We have to solve the differential equation

Q: Find 2 and z if z is defined implicitly by the equation ду x² + 2xyz + y° + e² = ln 4

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Q: If z = x + iy, z/3 – a – ib and * = 2 (a' -b'), then a is equal а b y to

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Q: Given that X and Y are related by the given equation, and that X = 3.0 ± 0.1, estimate Y and its…

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Q: if f(x,y)= ln(x^2 +y^2), find fxx(x,y) + fyy(x,y)

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Q: At the point (3, -1, 2), * P = xy + yz + zx A = x²yî + y²zĵ + z²xk Find p · VA O 1 O 2 O 3 O 4

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Solve the following equation by using separation variable method: u(x.0) = S(x) u,(x,0)= g(x) 1>0…

A: Given ∂2u∂t2=c2∂2u∂x2, ux,0=f(x)                            (1)utx,0=g(x)ux(0,t)=ux(l,t)=0 Use…

Q: Let y(x) be the solution for the DE : y' = (x + y – 1)² If y(0) = 1, then find y()

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Q: h is jointly proportional to q and v. It is found that q = 9 and v = 8 when h = 3. k =

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Q: 1.Solve the given problem W = f(x, y, z) = 3x²y+ yz² + 2z³ fxis equal to ? fyis equal to ? fzis…

A: Follow next step

Q: If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then…

A: To determine: The equation z=_____ Given information: If z is directly proportional to the product…

Q: If A = and if xy = 1, then det ( AAT) is equal to y a

A: We have, A=axya As we know that, transpose of a matrix is obtained by changing rows to columns and…

Q: Let z=xIn(x²+y²-e)-235xy, x=te, y=est. If the value of oz when s=2 and t=1 is equal to Ae?+Be", then…

A: Here, the given functions are: z=x lnx2+y2-e4-235xy, x=t es, y=est so, z is a function of x and y…

Q: If a particle is moving with v(x)=1.5(x^1/2) and s(9)=33, what is the position of the particle? As a…

A: Let v(x) denote the velocity of the particle and s(x) denote the position of the particle.Obtain the…

Q: Suppose that z varies jointly with the cube of x and the square of y. Find the constant of…

A: Given z varies jointly with cube of x i.e x3 of y i.e y2

Q: An isolated bar is kept at zero temperature at its ends. If it's given initially 02y ax2…

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Q: If the quantities x and y are related by the equation y = then we say that y is to x and the…

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Q: If y = In(x – y) then y' at the polnt where y = 0 Is equal to Select one: b. 2 C. -2 d.=

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Q: 2 ydx + x(x In y – 1 )dy = 0 %3D

A: Given that: 2ydx+x(x2lny-1)dy=0

Q: If A = and if xy = 1, then det ( AAT) is equal to y

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Q: a A = and if xy = 1, then det ( AAT ) is equal %3D to y a

A: Given:A=axyaif xy=1 then detAAT=?

Q: 4. The volume V of a sphere is directly proportional to the cube of the radius. With k as the…

A: Option D is correct

Q: ..... If F(x.y) = x° + 2x?y - 2y°, then F, = If F(x.y) =x + 2x?y – 2y°, then F, - dy dx

A: We will use various derivative formulas to solve these as shown below

Q: f(x, d,Z)cbxcly dz

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Q: For the DE (D^4 + 3D^3 + 2D^2)y = 0, Find the value of y when x =1, for the particular solution that…

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Q: Express the statement as a formula that involves the given variables and a constant of…

A: Two or more variables are said to be directly proportional if a change in one variable results in a…

Q: Solve the following equation by using separation variable method: u(x.0) = S(x) , 4,(x.0)= g(x) 1>0…

A: Let the product solution be ux,t=φxht Plug in the product solution in the wave equation we get,…

Q: (a) y(t)=1+af,y(t)dr,1 > 0

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Q: Suppose that z varies jointly with the cube of x and the square of y. Find the constant of…

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Q: if z is dirctly proportional to the product of x and y and if z is 6 when x is 3 and y is 4, then…

A: Solution is given below..

Q: Find the constant of proportionality k if y = 2 when X = 8. %3D k = Using the k from above write the…

A: Follow the procedure given below.

Q: Given f(x, y) = – 5x + 6xy° + 3y, find - fa(z, y) = %3D f,(z, y) = !!

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Q: 2 2xy) dy, v es (0, 0), (2, 0), (

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Q: If w = (y-z)(z-x)(x-y),find the value of dw , dw, dw +. Z-X +. dx dy dz

A: We have w=(y-z)(z-x)(x-y) dwdx=(y-z)[(z-x)(1)+(x-y)(-1)]        =(y-z)[(z-x-(x-y)]…

Q: Find the general solution to the DE using the method of Variation of Parameters 8 у" — 4у 3D e 2x +…

A: Introduction: The formula of the particular solution by the variation of the parameter of the…

Q: If F (x, y, z) = e^xz i + 3xe^y j − e^yz k, then find ∇.(∇ × F)

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Q: When the driver of a vehicle observes an impediment, the total stopping distance involves both the…

A: Given: When a driver of a vehicle observes an impediment, the total stopping distance involves both…

Q: .If F(x,y) = e¬* tan(x + y), find Fx(0, 4

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Q: For an equation y' + ty = 5t, find the general solution for y using method of integrating factor.

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Q: For nos. 1 and 2, use separation of variables to find a product solution to the following: ди 1. ди…

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Q: Find vf(x, y) if f(x,y) = e* c cos y 5.

A: Note : according to our guidelines we can answer only first question because there are multiple…

Q: If the rate of change of Q is directly proportional to Q, and if Q(0) = 100 and Q(4) = 440, find k,…

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Q: According to Kirchoff's voltage law, the sum of the voltage drops across these elements is equal to…

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Q: If y is inversely proportional with w and directly proportional with x at z, such that when y=12…

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Q: Is y directly proportional to x? y = 14x-8x If so, give the constant of proportionality. If not,…

A: We have the given term as y=14x-8x On solving further, we get the result as y=14x-8xy=14-8xy=6x…

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.