Given z = 2 cost +35 and y= 9 sin t da dt dy dt dy dx %3D %3D %3D

Q: dy/dx = y/x + cot(y/x) by homogeneous D.E

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Q: If x= sint and y = cost then 2 dx dy dt dt O 2 O -1 O 1 O O O None of these

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Q: t2 + y? = ty dt

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Q: (c) t? dy + 2ty = cost , y(T) = 0, t > 0. %3D dt

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Q: 7y f(x, y) = tan a² f dx² dy? dzðy dydr

A: From the given problem:   fx,y=tan-17yx   (a) As we know: ∂2f∂x2=∂∂x∂f∂x So, ∂f∂x=∂∂…

Q: Given I 2 cost +35 and y = 6 sin' t dx %3D dt dy dt dy dx ||

A: Given: x=2cos t+35y=6sin2t Therefore, dxdt=ddt2cos t+35       =-2sin  tdydt=ddt6sin2t       =6(2sin…

Q: dy 28. (i) Find , where a) y= In b) x+y+ cosxy = 0 dy (ii) Given that x= e'cost and y=e'sint, find 2…

A: As per the guidelines we can solve the first three subparts or first one question. If you want more…

Q: at (x, y) = (1, 2) and z? = x2 + y² if dt dx = 4 and dt dy = 3. dt dz %3D %3D Find dz dt II

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Q: d'y Calculate y = eX + e* dy %3D dx2

A: It is known that if  we have a function f(ax) then the derivative of the function is,   Here it is…

Q: Given z = 31 sint + 10 and y= 31 cost + 40 da (i) dt %3D dy (ii) dt dy (iii) da

A: Given:- x = 31sin(t) +10 y=31cos(t) +40 To find:- dx/dt  dy/dt dy/dx

Q: Given x 13t - 12 and y = 169 sin t %3D %3D dy %3D dx dy dæ?

A: Given that       x = 13t - 12   and   y = 169 sin t Here we have to calculate     dy/dx         and…

Q: Find the general solution for y(t) where, dy 10t dt y II

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Q: Given z = 11sint + 18 and y= 11 cost + 45 (*) da %3D dt (i) (**) dy (0) dz %3D

A: Given that, x and y are parametric functions

Q: dy Find dt y = (4+ csc 2t) dy %3D dt

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Q: Given z = 2 cost +3 and y= 3 sin? t dx dt dy dt dy dx

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Q: dy| Find dx\x=4 given that y = 7 – x². dy %3D i dx\x=4

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Q: dw at the given value of t: dt Evaluate w =x2+y x = cost +sint y = cost -sint %3D 2.

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Q: 7 dt, where x> 2 Find dx for y = J 31+7 3

A: We shall use the Newton Leibniz formula

Q: 2 Given z = 2 cost + 30 and y= 5 sin t dt dy dt dy dx %3D %3D

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Q: dy Given a level suface 5x?y? + 2xy = 5 with y = y(x). Find at the point dx %3D (4, 3). Give your…

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Q: ORDER DEGREE LINEAR OR NON- LINEAR x*y" + xy" = e* (y')? – 3yy' + xy = 0 d2 ds t dt t2 = 1- sint dt?…

A: See the details solution in below

Q: cos t dt t10 y = dy dz

A: Known fact: ddx∫pxqx ft dt=fqx q'x-fpx p'x.

Q: Given x° + xy – 6x = 1 : dy by differentiating implicitly. Do not substitute for dx Га) Find Y. dy…

A: Topic :- Differential equation As per our guidelines , only one question will be answered at a time.

Q: The radius r and height h of a right circular cone arerelated to the cone’s volume V by the equation…

A: Given equation, V=13πr2h                          ...(1)

Q: dy If x = t – sin t and y =1- cost, then find at t = %3D dx a. -2 b. 0 С. 1 d. 2

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Q: Find the conditions such that the equation M (x, y) dx + N (x,y) dy = 0 mogeneous and exact.

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Q: Find the sloution of the given DE dy y-x dx y + x = Yexact y (0) = 1, h = 0.1 at x = 0.5 2 ? (find…

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Q: 2 dy + y? = ty %3D dt

A: We have to find the general solution of the given differential equation. We can rewrite the…

Q: dx dy = r°y – ry dt = y - ๕ dt

A: We will answer the first question since we only answer one question at a time. please resubmit the…

Q: (d) 3 sin 2x = y(x)+ | (x-t)y(t)dt.

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Q: Given z = 2 cost +3 and y = 3 sin?t da dt dy dt dy da

A: Explanation and solutions is given below....

Q: Compute xe" dx + x?y dy along the curve x 3t, y = t2, 0 < t < 1.

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Q: d’y ,dy -2+5y = e" cos 2x b) t dt dt

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Q: dw/ dt باستخدام قاعدة السلسلة ، فإن W=x? + y? X=cos t y=sin t = 0 = اللانهاية لا أحد من الآخر = 2…

A: Use differentiation

Q: Given x = 18 sin t + 30 and y = 18 cost + 23 %3D dx (i) dt dy (ii) dt dy (ii) dx

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Q: f(x,y)=sinx+cosy+xy2, where x=cost,y=sint Find df/dt at t=π/2.

A: We can find the answer as below

Q: dy Find dt y = tan? ( sin 't) dy dt

A: Topic :- Derivative

Q: Given x = 8t – 21 and y= 64 sin t dy dx dy (ii) dx 2 %3D

A: Given the function

Q: Find the general solution for y(t) where; dy а. dt + 6t?y = 2t? dy b. + 10y = 0 dt

A: The given question has been solved in detail

Q: dy y? y(to) = 0 2t dt

A: Given                  dydt=-y22t,     yt0=0

Q: Solve the homogeneous DE. 4. y? dx + x(x + y)dy = 0

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Q: The volume of a right circular cone of radius a and height y is given by V = dy volume of the cone…

A: Explained below

Q: Given x = 2 cost +33 and y=8 sin t |3D da dt dy dt dy dx

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Q: y=√x Find dy/dt, given x = 4 and dx/dt = 3 Find dx/dt, given x = 49 and dy/dt = 8

A: We have to find dydt given x = 4 and dxdt= 3 Find dxdt, given x = 49 and dydt = 8

Q: Find the solution y=y(x) of dy +y dx subject to y(1) = 1.

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Q: Show P(x) dx\ dx yp(x) = e-/ P(s) dx / (2(w)e/ P©)d« ) dx Q(x). is a articular solution of dy/dx +…

A: We have given a first-order differential equation;

Q: dy h. Find dx 2-sint (a) y = dt (b) y= 2m +m+1dm 3+cost ー元 cost dt 12 +1 (c) y = [ (d) y= [ Ju…

A: As per guideline we have to solve only three subparts

Q: xy dnt (y +De dy =0 answer: 2.) x dx answer: (y- cas cosx dy = O

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Q: | vũ du b. y = sin x с. y = 3t? dt ctan x

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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.