Which of the following functions is a s dx 12х — 8у - dt dy : 16х — 4у dt O a. y(t) = e-4t sin(8t)

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: dy dt 1 if 7y't + t°y = 5 and dx Find dx Cos t dy

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Q: dy at t= T is dx If x=t+sin 2t , y = 3t – cos 2t, then O a. -1 O b. 1 O C. -2 O d. 2

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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: dz Use an appropriate form of the chain rule to find dt 1 8 cos x – sin ry; y = 9t t %3D SSEVS Enter…

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

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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 the differential dy of the given function. (Use "dx" for dx.) y%3D 2x . -5 dy

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Q: The velocity of a particle moving back and forth on a line isy = ds/dt = 6 sin 2t m/sec for all 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: Find dw/ dt at the given value for the following functions Z 2 X Y x= cos² (t).y = sin² (t).= = =,…

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Q: Solve the following second order ODE dy dy + 2x dx? = 0 || dx with the initial conditions y(0) = 2…

A: The given 2nd order ODE is d2ydx2+2xdydx2=0, with initial conditions y0=2 and y'0=-1. The main…

Q: J. In (T/2) cos ey dx dy In (/6)

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Q: After using z = X - y as substitution, the DE (x-y)^2 * dy/dx = a^2 (a is constant) transforms to…

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Q: dy For the function dt d y is 3 cos t, the third %3D order derivative dt3 O 3 cos t

A: Given: dydt=3cost To find the third order derivative d3ydt3. Solution: We have, dydt=3cost…

Q: find the differential of each function

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Q: dy Find xp y%3D COS dt

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Q: Find the differential dy of the given function. (Use "dx" for d> y = 8x² – 4 dy = %3D

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Q: x2 dy Find - for y = x dx -for y =x cos t?dt. sť dt. 2

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Q: hello! can you help me with this calculus problem?

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Q: dw = t³ and y = 7. Find dt Let w = cos(8x - 10y), where x =

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

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Q: Find the value of dy/dx at the given point. (Verilen noktada dy/dx değerini hesaplayınız.) xe' + sin…

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Q: Find dy/dt. y= cos ~ 10t + 11)

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

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

A: Sol

Q: - (7- dy sin2x ) dx = 0 y y

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Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…

A: We have to find I.F

Q: Find dy/dx of the function below. 2x³ + e^(2y) = cos3y

A: 2x3+e2y=cos(3y)Differentiate with respect to…

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

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Q: 7. Calculate dy/dx at the point indicated: f(0) = (7tan O, cos O), 0=/4

A: Here we will use the concept of parametric equation and Derivative of parametric ewyations

Q: (b) Calculate e cos(Tx) dx using integration by parts as many times as necessary.

A: Given: ∫excos(πx) dx The formula for integration by parts is given as…

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: Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

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Q: Given y = 4e* + In x, find the differential dy. %3D

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Q: Find the differential of the function. Z = e-9x cos(2rt) dz = dx + dt %3D

A: The total differential of the function  is given by . So, to find , first we need to find the…

Q: dw 3) Find ifw = 5 cos(xy) – sin(xy),x = ,y = t,z = t³ - %3D dt

A: Given: w=5cosxy-sinxy, x=1t, y=t, z=t3 For finding dwdt, first we find w in terms of t So, we put…

Q: Exercise: Answer the following by finding dy/dx. 5sin-lr cosh x (a) y = Vsect x + In 7 4 (b) + In y…

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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: dz Use an appropriate form of the chain rule to find dt z = 3 cos sin ry; y = 7t Enter the answer in…

A: Here, the given functions are: z=3cos x-sin xy; x=1t, y=7t

Q: I. Find dy/dx in the following: 1. Y= sin In(x + 1)

A: To find the derivative of given function.

Q: (e) S x³ cos(x²)dt (hint: use substitution first) VT/2 COS

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

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Q: Q2: find dw/dt at given value point for the following function x= cos°(1), y = sin²(1).= =-. 1 at t…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.