Find dw/dt at the given value for the following functions dw Ans. dt 1) w=x+y, x=cos(t), y sin(t), at t 0 =

Q: Which of the following differential forms are exact? (y² – t²) dt + (2ty – y) dy O ye' dt – e' dy O…

A: To find  Which of the given differential equations are exact.

Q: Find dwl dt at the given value for the following functions 1) w=x+y, x= cos(?), y = sin(t), at t = 7…

A: We have to use properties of trigonometric functions.

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Q: Find dw/ dt at the given value for the following functions 1) w=x + y, x= cos(r). y = sin(?), at 1 =…

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Q: Find dw/ dt at the given value for the following functions dw Ans. 1) w=x+y, x cos(t), y= sin(t), at…

A: As per the company guidelines we are supposed to answer only the first three questions.Kindly repost…

Q: dz evaluated at dt If z=tan In with x=sec t and y=eª. Then the value of t= 0 is equal to ...…

A: Chain Rule Let us consider the function z=f(x,y) where, x=g(t) and y=h(t) Differentiate the function…

Q: Find dw/ dt at the given value for the following functions dw dt 1) w= x + y°, x= cos(t), y= sin(t),…

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Q: Find dw/ dt at t = 0 if w = sin (xy + p), x = et, and y = ln (t + 1).

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Q: Let z(x, y) = 7e" sin(y) where x = t° & y = 3nt. dz Calculate dt dy and using the chain rule. dt dx…

A: Using chain rule dz/dt =(dz/dx)×(dx/dt)+(dz/dy)×(dy/dt)

Q: 1. Determine whether the following differential is exact or inexact: a) df = dx –dy %3D y b) df(x,y)…

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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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A: ddxcosx=-sinx

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

A: Here we use integration by parts.

Q: Let y = tan(4x + 4). Find the differential dy when z 1 and da 0.4 1.631 Find the differential dy…

A: First, let us evaluate the derivative of the given function using the chain rule:…

Q: Find the following differential equation by using Laplace transform dy/ dx+fo y(e) = 1 y(0) = 1 %3D…

A: First I have written some Laplace transform firmula and by taking Laplace transform and find the…

Q: If f(x, y) = 17e* cos x + 6 cot y, then the total differential of ƒ at ( 0, ÷) i : O df = 17 dx + 12…

A: f(x,y)=17e-xcos x +6 cot y

Q: 1. Differentiate the following: G(t) = sinh(In t) %3D G (t) = ? a. Cosh 3t b. y = ?

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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: a) Find the differential du. x/4 dy=? b) Evaluate dy for the given Nalue of x and dx X= 0, dx = 0.I…

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Q: Find the differential of each function. (a) y = etan(at) (re" tan(xt) gec²nt) dt Pa1)di dy = sec“nt)…

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Q: Find dw/ dt at the given value for the following functio 1) w=x² + y°, x = cos(1), y = sin(t), at †…

A: The given functions are w=x2+y2, x= cost  and  y=sint and t=π. Evaluate w in terms of t as follows.…

Q: Suppose that the position of a body moving along a coordinate line at time t is a. s = a cos kt + b…

A: Part (a):Part (a):Given,Given,

Q: Evaluate dW at t = dt for the function W = xy x = sin t, y = cos t, z = t². 4 49л2 972 9x2 4 49л

A: Given: W=xyz,x=sin⁡t,y=cos⁡t,z=t2 Substitute the value of x, y and z in w , we get W=sintcostt2…

Q: Find an interval where the IVP dy (In t) + y = cot t dt y(2) = 3 has a unique solution.

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Q: (a) Find the differential dy. y = tan(x) dy = sec?(x) (b) Evaluate dy for the given values of x and…

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Q: The acceleration of a particle moving back and forth on a line is a = d2s/dt2 = pai ^2 cos pai t…

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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: Find dw/ dt at t = 1 if w = xey + y sin z - cos z, x = 2sqrt(t), y = t - 1 + ln t, and z = pt.

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Q: Find dw/ dt at the given value for the following functions w =x² +y², x = cos(t), y = sin(t), at t =…

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Q: Find dw/ dt at the given value for the following functions dw Ans. dt 1) w=x + y², x= cos(t), y =…

A: (1). w=x2+y2,   x=cos(t),    y=sin(t)

Q: Find dw/ dt at the given value for the following functions 1) w=x² + y²₁ x = cos(t), y = sin(t), at…

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Q: Find dw/dt at t 1 if w xe + ysinz - cosz, r ! = 2/t, y = t – 1 and z = nt.

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Q: Find the differential of the function w = x* sin(y z' ) dw dx+ dy+ dz %3|

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Q: Find dw/ dt at t = 0 if w = sin (xy + p), x = et, ln (t + 1).

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Q: (b) Use a graphing utility to find dx/dt, dy/dt, and dy/dx at the parameter t 6. dt TO -/-

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Q: (a) Find the differential dy. V3 + x2 dy = (22+3)() (b) Evaluate dy for the given values of x and…

A: Given query is find the differential of y and its value.

Q: Evaluate dt dW at t=0 for the function W = e' – In x , x = t², y= In t

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Q: If f(x, y) = 16e * cos x + 4 cot y, then the total differential of f at (0, is: O df = 16 dæ – 8 dy…

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Q: (dr Ifr=a cos ti +a sin tį+ at tan 0 k, find dt dr at t = 0. dr?

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Q: Find the differential of the function. Z = e-8x cos(5xt) dz z = dx + dt %3D

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Q: Calculate dz/du and dz/dv given the following functions: 2x-y x + 3y' = f(x, y) = = Z = x(u, v) =…

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

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

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