dw w=x +y, x-cos r, y-sin/ ise dt Irm

Q: z = e*sin y, Mo (1,2) 6

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Q: dz dt Consider x = cos t, y = sint and z = x2 +y². Then ulan ||

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Q: dw Find if w = xy + z,x = cost, y sint and z =t at t = 0. dt

A: In the given question, the concept of the derivative is applied. Derivative We can use a derivative…

Q: Which of (a) or (b) is equal to d/dx (x sin t)?

A: We have to evaluate ddxxsint

Q: dt z = cos(x + 4y), x = 5 t ³, y = 8/t

A: We need to find out the value of dzdt

Q: Assume that y=2x and dx/dt =4. Find dy/dt . dy/dt

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Q: dz 2. Given z = 4x2 + y²,x = sin t, y = t², find- %3D dt

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Q: dy = 3. dt dz at (x, y) = (3, 1) and z² = x² + y² if dx = 1 and dt Find dz Preview dt

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Q: ƏF Find at (x, y) = (T, 1) if f (x,y) = cos vt dt. cos yt dt. ww

A: given,          fx,y=∫0x2ycostdt

Q: d y dy 14. dt2 +2, + y= 2 cos 2t dt У (0) —D у (0) — 0

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Q: dw 3) Find dt if w 5 cos(xy) – sin(xy), x =,y = t, z = t3 at at 4) Let t =,u = x² - y? ,v = 4xy³.…

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Q: (e* + In y +) dr + + In a + sin y) dy = 0

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: dy Find xp y%3D COS dt

A:

Q: Given z=x²y+3xy, x=sin(2t), y=cos(t), find dz/dt when t=0

A: ddxcosx=-sinx

Q: (1) y'(t) = 1- sint – , y(t)dt, y(0) = 0 %3D

A: As per guidelines, we will solve only first question. Kindly repost other question separately.

Q: Find the line integral of ƒ(x, y) = x - y + 3 along the curver(t) = (cos t)i + (sin t)j, 0 <_ t…

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Q: dy -y ze°Cos(E) dt y le) =0 1+らine

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Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.

Q: Find dy/dt, x=4 sin t; y=12 cos t* O 24 cos t O -24 sin t O 12cos t O -12sin t

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Q: dz Find given: dt z = zew, z = t°, y = - 5+5t dz Preview dt II

A: This problem can be solved as follows:

Q: The solution of Laplace equation d'u = 0, where 0 < x < 3 dx? and 0 < y < 2 with boundary conditions…

A: Step:-1 Since we know for Laplace equation if step size h= k then ui, j=14ui+1, j + ui-1, j + ui,…

Q: Find dw/dt at t=0 for the function w=sin(x),cos(y),ln(z). Where x=-7t^2+9t+pi/2, y=t,z=e^-6t

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Q: Solve by Laplace transforms. y – 3 | y(T)dr = 4e' sin(2t). %3D 0,

A: by Applying Laplace transformation and inverse Laplace transformation we get the answer

Q: da dy at z = – 5 if y = 3x2 – 3 and - 1. Find at x = %3D - dt dt dx %3D dt ||

A: given y=3x2-3 ........(1)

Q: dy Find dt y = (50 + e') Int dy %3D dt (Type an exact answer.)

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Q: dz Find dt where z(x, y) = x² – y°, with z(t) = 9 sin(t) and y(t) = 3 cos(t). %3D %3D %3D dz dt

A: Given,

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: F'ind the differential dy. (a) y = xv8 – x %3D dy =

A: we have to find

Q: dx dy dy Find and dt' dt dx X = 7te', y = 3t + sin(t)

A: Here, dxdt=ddt7tet      =7tddtet+etddtt(used product rule)      =7tet+et(1)      =7et(t+1) Now,…

Q: Find dw/dt if w = xy + z, x = cos t, y = sin t, z = t.

A: Given: w = xy+z,  x = cost,  y = sint,   z = t To find: dwdt

Q: dz Find dt where z(x, y) = r² – y, with x(t) = 8 sin(t) and y(t) = 11 cos(t). dz dt 6

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Q: The integrating factor of the linear DE dy + ycot x = sin x dr

A: Given: dydx+ycotx=sinx

Q: find dy/dt y=cos^2(cot^7t)

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Q: Find y', where t (a) y = Jo dt VE2 +1 (b) y /t² +t+1 dt 1 • sin²3x (c) y = | 1 dt t2 +1 Cos x

A: The given function is: y=∫cos xsin2(3x) 1t2+1 dt

Q: Check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]

A: We need to check if y = sin(t)et is a solution to: d2y/dt2 + dy/dt = et[3cos(t) + sin(t)]. We have y…

Q: dy Find dt y = (t sin t) dy dt

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Q: Assume w = x²y*, where x and y are functions of t. Find dw/dt whenx = 3, dx/dt = 2, dy/dt = 4 and y…

A: To find the derivative of the given function w,  we need to apply chain rule of differentiation and…

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

A: Topic :- Derivative

Q: Question 1

A: Consider the equation  Given Find  at

Q: dy Find dt y = (t sin t)6 dy dt

A: Given: y=t sin (t)6 We have to find dydt: Consider, y=t sin(t)6=t6 sin6(t) To find dydt…

Q: dy Find dx T/4 | cos ()dt y% = CoS X, dy %3D dx

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Q: h of the DE's =)y = 2 sin² x ; y(0) = 0 , y'(0) =-2

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Q: dy (a) dx JE, y(1) = 2 dy (b) dt sin t + 1, y () =; dy (c) dx x +1 y(1) = 0

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Q: S(t) dt = In(x) cos(r) + sin(3) e-² sin(3) "S(t) dt, find f(r). ven

A: The expression is given by ∫sin(3)xftdt = ln(x)cos(x)+∫sin(3)xe-t2ftdt                            To…

Q: Consider z = x² + 3y², where x = sin t and y = cos t. Calculate dz / dt.

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Q: dv dv If V = ÷f(0) and x = r · cos 0 , y = r · sin 0 . Prove that x -+y÷= -V dr dy

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Q: Find the total differential of w ze(z+y) at (0,0, 1).

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Q: dz 2) Find if z = xy² + x?y, y = ln x %3D dt

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Quadratic Equation

When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.

Demand and Supply Function

The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.