v(z) = [ In²(t)dt

Q: dy = 2t°y + y + 2t + 1. Show your work and explain thoroughly, when appropriate. dt Determine the…

A: To find the general solution of the given differential equation, first we separate the variables and…

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: The equation dx/dt = kx is both separable .4 and linear اخترأحد الخيارات

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Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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Q: a. (xy + y²)dx+ (=

A: a. Given,       (xy+y2)dx+(x+2y-1)dy=0

Q: d Vi In(t)dt equals dx

A:

Q: find dy/dt. y = ecos2(πt-1)

A: We use the chain rule to find the derivative

Q: Find d2x/dt? as a function of x if d 6x sin x. dt? ||

A:

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: dy dt t2

A:

Q: (t + z cos(t)) dt + (sin(t) – 3z² + 5) dz = 0

A: Let's find.

Q: suppose y = √(3x + 1), where x and y are both functions of t. If dx/dt = 2, find dy/dt when x=5

A:

Q: Find the value of dy/ dt at t = 0 if y = 3 sin 2x and x = t2 +π.

A: Given : y=3sin2x, x=t2+π To find : dydt We can write dydt as, dydt=dydx×dxdt                    1…

Q: Find the integrating factor of x dy / dx =x^ 2 +3y,

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Q: Suppose that a = x(t) and y = y(t) are both functions of t. If y + xy – 3x = 23, and dy/dt = 1 when…

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Q: Suppose that x=x(t) and y=y(t) are both functions of t. If x2 + y2 =17, and dx/dt=2 when x=4 and…

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Q: y? what is dt/dy? 2y +1 if t =

A:

Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

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Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: Find the general solution of dt z(t) = Az where z = y(t and A =

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Q: Calculate dy/dt using the given information. xy2=4; dx/dt=-5, x=4, y=1

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Q: integral f t^3 In t dt

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Q: find dy>dt.…

A: Given function, y=ecos2pt−1

Q: if xy+x=12 and dx/dt=-3, then what is dy/dt when x=2 and y=5?

A: Given :xy +x = 12

Q: Suppose that x=x(t) and y=y(t) are both functions of t. If y=2x2−1, and dx/dt=5 when x=14, what is…

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Q: y = tan (5t - 21 +1)

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Q: dz Find dt if z = x²y – sin y, x = vt? +1 and y = e -

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Q: Using d²y(t) dy(t) + t dt + 2y(t) = 0, and y(0) = 0 and y' (0) = 1. t dt?

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Q: If L = 2x2 + y2, dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y = 1

A: Consider the provided equation and information,

Q: Find F′(x).

A: Consider the provided integral, Fx=∫1x1tdt Find F′(x). First we evaluate the provided integral,…

Q: (i) J. dt 6. –t²

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find. d2 - (11 Int) dt? d2 (11 In t) =D dt?

A: To find:

Q: Find the total differential. z = 5x3y8 dz =

A: The solution is:

Q: Find dy/dt using the given values. dy dt y = x² - 6x for x = 1, dx/dt = 3.

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Q: Find dv if v = t- dt |

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Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

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Q: Use the method of first principles to show that d/dt(lnt)=1/t

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Q: d²y csinx Find if t Vt2 + 5 dt + sinx = y – x secx dx2

A: We will first find the first order derivatives using Newton-Leibnitiz theorem. The , we will find…

Q: Find the linearization of x = -1 f(x) = 3+ S sec(t – 1)dt at

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Q: Find dy if y = In* +1 7 -t dy dt

A: Derivative is below

Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6.

A:

Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: Differentiate both sides with respect to t.

Q: d²x dx + 4- + 5x – 10 = 0, when t = 0, x = 0,x = 0 dt2 dt

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Q: psin(z) (c) y = [ dt t+1

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Q: Find dx/dt when y=2 and dy/dt=3,given that x^3=9y^3-64

A: Find dx/dt when y=2 and dy/dt = 3, given that x^3 = 9y^3 – 64.

Q: If xy + z² = z, and dx/dt = -1, dz/dt = 3, find dy/dt when x = 2 and z = 4

A: Given: xy+z2=z and dxdt=-1, dzdt=3  Find dydt when x=2 and z=4 differentiate  xy+z2=z with respect…

Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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.