Eva luat at the given Value of t; 上 W= X+y x =cost tsits y ecst-Sint

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This is a problem of Differential Geometry.

Q: Evaluate dwat the given value of t: W=X+ÿ x-Cost + Sint y=cost-Sint

A: Given: w=x2+y2 ----(1) x=cost+sint ----(2) y=cost-sint ----(3) Use Chain Rue: dwdt=∂w∂xdxdt+∂w∂ydydt…

Q: L{f(t)} = f(t) = e* sinh t

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Q: Given the expression sech ey +cosh ek = In xy, find the value of dx when x = -63and y = -97.

A: Given,  sech e2y+cosh e2x=ln xy

Q: If y=sin?t+ tant, x=- In(-cost) - e int, find the value of y' when t=-. 4. %3D 6/2 2-Vze 2 3/2 B 6.…

A: We have to find

Q: find the domine of the function y(t)=sin 4t

A: Consider the given function: The domain of a function is the set of input or argument values for…

Q: t? – TVE+ vt csc(t) - dt e® tan (e“) dx J Vsec² (e=) – 7

A: The given integral,   ∫t2-πt+t csc(t)tdt Note:    Multiple questions are given, we are able to…

Q: is poured into the tank a te of 2 liters/min. Let y(t ial model for (t) and gol

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Q: Find the denivatine.cf.tha follow.ing.vecter. Fumctanss. -j.t.In(l+3t)...k. a. e.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: f arctan y dy 3 f

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Q: e`y? dy = VT

A: We will reduce the domain of integration by observing the fact that, e-y² is an even function. Then,…

Q: FEMD THE EQUATION OF TAMGET LEHE to x5 Vt AMD Y= t AT t= 1 VE

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Q: Find x() given r(t) =(d'.d sint,e cost)

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Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

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Q: [(e+1)?dx is equal to * The

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: ló bé á špěčífić válué ôf l. Fi ind lò si "(t > to ) = 0.01 where df ) 2.528

A: Here it is given that - t0 be a specific value of t. P(t>t0) = 0.01 where degrees of freedom = 20

Q: Find 1. y = ar' + br constant) + cr+d (a, b. c.d

A: Given ,  y = ax3 + bx2 + cx + d      (a , b , c , d constant) We have to find dy/dx We know that ,…

Q: cost, y = sint, at the point where t 0 ≤t≤ 2π -O?! =

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Q: A car starts from rest at time t = 0 and accelerates at – 0.61 + 4 meters/sec? for 0 <t< 12. How…

A: Given: a = -0.6t+4 and velocity at t= 0 is 0 Since, dvdt=a, here v is the velocity and a is the…

Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

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Q: J17 cot"x dx

A: I=∫17cot4x.dxI=17∫cot4x.dx…

Q: Find the speed: r(t) = (sinh(t), sinh(t), – 5t) at t = 1. %D v(1) =

A: “Since you have asked multiple question, we will solve one question for you. If you want any…

Q: 团 Solve for r to two decimal places. (Do not round until the final answer. Then round to the nearest…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: dy -from the function y= sint, x= cost as a parameter. da? Obtain

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Q: If the position of a moving object is s(t) = (sin t)< meters above zero at t seconds, then what is…

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Q: A vehicle traavels in a E minutes with a velocity o vCf F108t 9 feet per minute, for Os t<14 struigh…

A: step (2)v(t)=108t-6t2we know thats(t)=∫v(t)dtthe vehicle travel in 11 minutes is given by…

Q: Given the function y=sinxcoshx. Find d3y.

A: We find dy/dx using the product rule

Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: Do as indicated. Show complete solution. (2x + 1) (x + 4) (x – 3) dx (antiderivative) (x – 2)°(x +…

A: Given:∫2x+1x+4x-3x-23x+33dx…

Q: Given y = xy2 + e* calculate and report the value of dy when y = x = 1. dx

A: Differentiating using product rule

Q: L{e at sinh(-at)} s2 +2as (s-a)² (sta)? 82-2a

A: Laplace transferom

Q: L{t e¬at } =

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Q: Solve the following DE V2+ x? dy =-x 1+y dx y = Ce{2+x²) _ 1 а. y= Ceor") _1 y = Ce{2+x?)

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Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write…

A: Given, Radius = r Area = A= pi*r^2

Q: Given that x(t) = a[cost – sint], y(t) = b[sint + cost] what will the value dy at t = T/2 dx %3D

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Q: 35. x dx + Ja? - x² dy = 0. ,2

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Q: Given h(x) = ,(2t? – 4t) dt, write the equation of the tangent line at x = 1. %3D

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Q: A drag racer accelerates at a(t) = 66 ft/s?. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

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Q: ar/ Find the Particalar fntegral Por the gue differestial アration te dzy + 16y= e + Cos 40 dx2

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Q: Find dy Idx for the following implicit functions : y2.cot x = [sin(x. y)]-1

A: Given y2cot(x)=[sin(xy)]-1            =1sin(xy)            =cosec(xy)          ∵1sin(x)=cosec(x)By…

Q: r(t) = m(-cost + 3)i – m(sint + 3)j+ 3mtk, 0 st <TV10.

A: Given :

Q: (c) f(t) =t° sinh 5t

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Q: 1. Reflect over the x axis J' K' L' M'

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Q: QA Find d for y = tanh(coth(x))

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Q: Assume a circle is expanding with time where r = t + 3. What is the formula for the rate of change…

A: The chain rule: fgx'=f'gx·g'x The Power rule: ddxxn=nxn-1   (1). As we know that; The area of the…

Q: Find for the following function x = a(cost +t sin t),y= a dy dx (sint – t cost)

A: Given problem is  :

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

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Q: FEMD THE EQUATION OF TAMGET LEHE to x5 Vt AMD AT t= 1 VE

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Q: Solne the IUP By L.T - ゴ+y=S年 sint

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…