Given: y=fso(x-1) dt - dy =D{(x). dx show that

Q: 1. Suppose y = f(x) and that x is changing over time. How is dy/dt related to dx/dt?

A: Given that: y=f(x)

Q: Find the differential dy of the given function. y = V3- x² dy

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Q: Find the differential dy of the given function. (Use "dx" for dx.) dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x3/4 %D dy =

A: given y = 8x34  we find the differential dy of the above function.

Q: x² S cos(VE) dt dx 'x

A: Given ddx∫xx2costdt

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x2 - 1 dy =

A: solve by implicit differentiation

Q: Another particle has a velocity function of v(t) = [' 2'-* dx. What is the acceleration of this…

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Q: 18. y = x/I - x?

A: Differentiation:- The derivative of a function of real variable measures the sensitivity to change…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = V4 - x2 dy =

A:

Q: 1-dt 3- Ln(t) dt. Q10:- Calculate dx J2x t2

A: Use fundamental  theorem of calculus

Q: If x2 + y2 = 25 and dx/dt = -2, then what is dy/dt when x = 3and y = -4?

A: Given x2+y2=25Differentiating with respect to t,ddtx2+y2=ddt25

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3Vx + х dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 3x2 - 5 dy =

A: Given, y = 3x2-5  We have to find the differential dy for the given function

Q: If y=x^4−5 and dx/dt=−1, find dy/dt at x=−3.

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Q: d²x dx + 2 * + 5x = e-t sin t; dt [ = x(0) = 0 x'(0) = 1 %3D dt2

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = In (√9-x²) dy =

A: Given: y=ln9-x2 To find the differential dy

Q: Given y=5x+2−−−−−√, find the differential dy when x=1 and dx=0.3. Round your answer to three…

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Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8x2 – 2 dy =

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Q: What is the integrating factor of the D.E. 2y dx + (x- sin vy) dy =0 ?

A:

Q: 1. Use the Improved Euler's method to integrate dx = t - sinx dt given x(0) = 1, using a step size…

A: The given differential equation is dxdt=t-sin(x), x(0)=1, h=0.1 The formula for improved Euler…

Q: A particle moves on the graph of y^2 = x + 1 so that dx/dt = 4x +4. What is dy/dt when x =8 ?

A: We have, a particle moves on the graph of a function given as y2=x+1 Differentiating both of the…

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y =

A:

Q: A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = x+3/2x-3

A: Quotient rule of differentiation:

Q: Find the differential dy of the given function. y = csc 5x dy dx

A:

Q: d²x dx + sinx=0 +2. dt for small excursion about x = T/4. 1. Linearize dt

A: d2xdt2+2dxdt+sin x = 0 - (i)here, the above given equation is homogeneous (RHS=0) but non-lineardue…

Q: # 5) If y = x³ + 2x and dx/dt = 5, find dy/dt when x = 2. # 9) If a snowball melts so that its…

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Q: (b) x²e3 dx (d) arctan 4t dt

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Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+1)/(3x-5)   dy=

A:

Q: Find the differential dy of the given function. y = sec2x/(x2 + 1)

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 4 y = 8V dy

A: We can make it easier for you.

Q: 87. Find the value of dy/dt at t = 0 if y = 3 sin 2x and x = t+pai

A: Given, y=3sin2x,  x=t+π y=3sin2t+2π we know, sinA+B=sinAcosB+cosAsinB sin2t+2π=sin2tcos2π+0=sin2t…

Q: ,dz Find ifz = xy2 +x²y, y = ln x - dt

A: We are given : z=xy2+x2y and y=ln x⇒z=x(ln x)2+x2 ln x

Q: a) How is ds/dt related to dx/dt if y is constant? ds/dt=___(dx/dt)

A: Consider a function S with variable x and y as constant. S=fx+ywhere, fx=function with x as…

Q: dy Find at x = dt dx - 1 if y = 2x? – 3 and dt - 2. dy dt ||

A: y = 2x2 - 3dxdt = -2dydt = ?   at x=-1

Q: Find the differential dy of the given function. y = Invs - x dy =

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Q: a) dx dt dy dt =x+√3y+et √3x-y+e³t = ||

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Q: Find dx 2n S sin (P) at (?)dt y=

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Q: What is an integrating factor of the DE dy/dx = (y + y^2) / x ?

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Q: Aparticle moves on the graph of y^2=x+1 so that dx/dt=4x+4 what is dy/dt whrn x=8?

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Q: ve the given differential equati dy dx - (1 + x)y = xy

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y 3 x dy =

A: Given function can be written as

Q: E valuate dt + seck tan x dX

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9Vx+ dy =

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Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: Given

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below

Q: If x^2+y^2=25 and dx/dt=6, find dy/dt when y is positive and (a) x=0: x=1 x=4

A:

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.