Consider the function h (t) = e-3t cos (2t) . Compute h' (7/3) - Number FORMATTING: Give the value accurate to three decimal places.

Q: if f(x)=2x-cos(x), Use Newton's method to approximate x, starting from the initial value xo=0

A: Solution:-    fX=2x-cosX           x0=0    f'x=2+sinxwe know      x1=x0-fx0f'x0           =0-f0f'0…

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

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Q: Use implicit differentiation to find dy given y³2 – log(x²y¹) = cos¯¹(1). dx

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Q: Find for the following function: dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx) 3- y = x*y at x = 1

A: We have to find the derivative of the following functions.

Q: Find the indicated derivative: d/dt ((e^t ,e^(2t),e^(3t)) X (sin(t),cos(t),tan(t)) )

A: We have to Find the indicated derivative of ((e^t ,e^(2t),e^(3t))(sin(t),cos(t),tan(t)) )

Q: Let y = tan find the differential dy of the function.

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Q: dy соmpute dx for implicitly given function cos(xy) + 2y = x³

A: cos(xy)+2y=x3Differentiate with respect to x,-(sin(xy))y+xddx(y)+2ddxy=3x2

Q: Find the local linear approximation of cos x at xo = cos 61°. T/3 and use it to approximate

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Q: Give the number of complete oscillations that will occur over 1 minute for a mass- spring system…

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Q: Consider the following function and express the relationship between a small change in x and the…

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Q: A particle moves along the x-axis with velocity given by v(t) = 67 sin (at) for time t> 0. If the…

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Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given a(t)=cos t Integrating with respect to t to get velocity function, vt=∫atdtvt=∫cos t…

Q: Compute the derivative d/dx of the following functions: y = 2 sec x − csc x x cos^2(4x)…

A: y = 2 sec x − csc xDifferentiate w.r.t.xdydx=ddx( 2 sec x − csc…

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 ) 1 Add file 2- (3…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find dy/dx by implicit differentiation for the following.  7x2 - 4y2 = 24

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Q: In the given question/s, find dy /dx by implicit differentiation :-   x2 - y2 =25

A: Given: x2-y2=25 To Find: dydx by implicit differentiation

Q: Find the differential of the function. z = e ** cos(8nt)

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Q: Find of the following by implicit differentiation. Show solution. dx y sin x =x2 – 2y • sin x+ sin y…

A: This question is related to derivative.

Q: Differentiate the following using chain rule Y = In (cot 3x – 2) Y = log cos? 3x

A: We need to find the derivative of Y=ln cot 3x-2 and Y=log cos23x. First problem: Now,…

Q: Find dy/dx by implicit differentiation for the following.

A: The given function is 4x-8y=6y32

Q: in integrating the function fx cos() dx using intogration by parts, whut would you choose for your…

A: Solution

Q: Evaluate the derivative of a mq4.5.png cos (bvx ³) f(x) = a ln sin(cx²) if a = 107, b = 0.5, and c =…

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Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

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Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given acceleration, a(t)=cost,       t>0 And v(0)=0, x(0)=3

Q: Find dy/dx by implicit differentiation for the following.:6x2 + 5y2 = 36

A: To find the differentiation

Q: Find an equation of the tangent line to the graph of f(x) = | t cosh (t² – 1) dt tan-lt 1+In (x) at…

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Q: t. ト ニ

A: We can solve them to find dy/dx as below

Q: Find by implicit differentiation: dx a. cos y =x+ y

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

Q: Evaluate the second derivative of mq4.5.png os (bVx³) f(x) = a ln sin(cx2) if a = 21, b = 0.5, and c…

A: Given that, f(x)=alncosbx3sincx2a=21, b=0.5, c=5Substituting the values of a, b and c, we…

Q: 9. What is the derivative of cos(at5 + b) with respect to t?

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Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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

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

Q: (a) Find thne derivative. y = In(4x – 6) – 3 In(x) dy dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find dy/dx by implicit differentiation for the following.:8x2 - 10xy + 3y2 = 26

A: We have to find dydx by implicit differentiation for the equation: 8x2-10xy+3y2=26 We know the…

Q: Let y = tan(5x + 6). Find the differential dy when x = 5 and dx = 0.2 Find the differential dy when…

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Q: Let y = tan(5x + 5). Find the differential dy when a = 2 and dx 0.3 Find the differential dy when x…

A: Given, y= tan(5x+5) Therefore, dy/dx = sec²(5x+5) .d(5x+5)/dx dy/dx = sec²(5x+5)*5 dy= 5sec²(5x+5)dx

Q: Use the implicit differentiation to find dy/dx for (e^x)y + tan(xy) - 5 = 0

A: Given that        (ex)y + tan(xy) - 5 = 0

Q: Find the derivative. d | dx + 0 OA. x³ sin (x¹) +5, ○ B. sint dt C. 4x³ sin (x4) - cos (x4) - 1 D.…

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Q: Find dy/dx by implicit differentiation for the following.:7x2 - 4y2 = 24

A: to find: dydx given: 7x2-4y2=24

Q: Find dy/dx by implicit differentiation. (cos mx +sin my)= 44

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Q: Find at the point (1,0) for cos xy + ye* = 0. dx

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Q: Find dy/dx by implicit differentiation for the following.:

A: 2x+4y=5y

Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: Consider the implicit function. ev = sin (2x) dy in terms of x. dx Determine the formula for dy dx

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Q: Find the derivative of t² sin t In Vt +1

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Q: Integrate the following functions f(x)=Ln [sec (x)] [², 3]

A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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Q: Consider the curve x = ey. Use implicit differentiation to verifythat

A: Given: x=ey ;Take log on both sideswe get,  log x=log…