For the parametric equation: x = 4t - 3 & y = t? +4, find dy/dx

Q: For the parametric equations: x = 23e-4t and y 44e5t dx (?)

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: x=4cosθ and y=4sinθ We have to find: (1) dydx (2) d2ydx2 (3) Slope at point θ=π4 (4) Concavity at…

Q: Consider the parametric equation x = 13(cos(theta)+theta(sin(theta)),  y =…

A: To find the length of parametric curve on [0,9π/4]

Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the…

A: The answer is found in step-2

Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: - Find dx2 for the curve defined by parametric equations x = t³ and y = e'.

A: Differentiate given parametric equation

Q: Consider the parametric curve C: x 1+cost, y= -3+2sint, 0stS (1) Sketch the curve and indicate the…

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Q: Find dy/dx and d'y/dx", and find the slope and concavity (If possible) at the given Parametric…

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Q: For the parametric equations: = 26e4 and y = 46et dx () dt %3D dy (ii) dt dy (ii) %3D dx

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given the parametric equation. x = 2 cost y = 3sin t 0<t<2n

A: For (B), We need to find the curve whose parametric equation is given above.

Q: 2. Given the parametric equations: x = t + sin t,y = t- cost, findand

A: Solution...

Q: Given the parametric equation x = t+ lnt and y = t - Int %3D dy d²y Find and dx da? Find the point C…

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Q: Parametric Equations Parameter - V, y = V1

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Q: Given the parametric equations x = 3t2 and y = 4t3 , find (without eliminating t) dy а. and dx d²y…

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t.

A: As we know that; The Power Law: ddxxn=nxn-1 The Product Rule: f·g'=f'·g+f·g' The Chain Rule:…

Q: For the parametric equations: = 48e2 and y = 41et da (*) dt (6) dt %D dy (s) da %3D

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Q: A curve is given by the parametric equations x(t)=t2-4t and y(t)=t2+2t-3. The line tangent to the…

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Q: For the parametric equations: I= 43e2 and y = 7e3t %3D dr (i) dt dy (ii) dt dy (iii) dx

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Q: A curve is defined by the parametric equations x (t) = e¬t and y (t) = e3t. What is d'y in terms of…

A: The solution for the above problem is shown below.

Q: Find dy/dx and d?y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Find f d'y Find for the curve given by the parametric equations and determine the concavity dx?…

A: Given:X=t2Y=t3-5tTo fondAt t=1d2ydx2 and value of t for concavity

Q: d y Find dx? for the parametric equation: x = et;y3Dt³ +t+1

A: Find your answer below

Q: For the parametric equations: = 41e2 and y = 27e* dx (i) dt dy (i) dt (tit) d

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Q: Find dy/dx and dy/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t

A: Given  equations x = t+sint, y = t^t

Q: For the parametric equation, find dy/dx:

A: The given question is taken from the derivative in which we have to find the derivative of the given…

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: (ii) Find for the parametric equations dx2 dy x =t – sint, y = 1 – cost

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Q: Find dy/dx and d'y/dx2, and find the slope and concavity (if possible) at the Parametric Equations =…

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Q: x = t? + 2t, y = 2' – 2t y. (15, 2)

A: Consider the parametric curve  x=t2+2t,                 y=2t−2t

Q: Consider the parametric equations below. x = t?, y = t3 X =

A: Given data:     The first parametric equation is: x=t2. The second parametric equation is: y=t3.…

Q: dy in terms of t: Differentiate parametrically to find dx x = 4t2,y = 2t3 None of the other answers

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Q: Find the equation for the following parametric equation in rectangular coordinates. x = 2t + 1 y =…

A: The solution is :

Q: dy for the parametric curve x= 2e', y= sin(1 + e' ) dx Find

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Q: Find length of the curve described by the parametric equations x = T sin t, y = r cost, e <t< T. А.…

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Q: For the parametric equations: * = 22e2t and y = 3e3* da (*) dt dy (é) dt dy (á) da

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Q: Find an equation of the tangent line of the parametric curve, I = 1+÷, y=t³ –t² +3,

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Q: dy Find and dx d²y given the parametric equations: x = 2 – t and y = -1+5t2. dæ?

A: y=-1+5t2 dydt=ddt-1+5t2 dydt=-ddt1+ddt5t2 dydt=-0+10t dydt=10t take the second derivative…

Q: A curve is given by parametric equations x = t – 2 cost and y = t+2 sin t. dy and d?y in terms of t.…

A: The given parametric equations  x = t - 2cost ..... (1) y = t + 2sint......(2) To find  dydx,d2ydx2

Q: dy d'y Find and given the parametric equations dr dr? x = t and y = 3t2 + 3t + 9. dy dz d'y dr?

A: Formula: If x and y are differentiable functions of t then dydx=dy/dtdx/dt and…

Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: Consider the parametric equations below. x = t2, y = t5

A: We have to find cartesian equation

Q: Find ,Y, and of the given parametric equations dy d²y dx ' dx² d³y dx3 X = cost, y = 5 sin t in…

A: The given parametric equations,x=cost, y=5 sint

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.