Eliminate the parameter f) from the following X(+)= -sint yl)= cost

Q: Find the slope of the tangent to the parabola y=x^2 at x=1 a. 1 b. 2 c. 3 d.4

A: The slope pf the parabola = 2

Q: find the derivative, show all work please. f(x)=square root(4x2-2x+3)

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Q: (b) u = Vt² + 2vt3 - 1 tan I (d) y = sec I VE-1 (f) y = VI+1

A: Since you have asked multiple subpart, as per our guidelines we are supposed to answer only first 3…

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A: Given the curves y=1-x2, y=9-x2 is rotated around the line x=-3.

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Q: Evaluate Solve y'' - 2y' + y = e^2x by using variation parameters

A: Idea: solving by using method of variation of parameters

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Find the tangent to y = ((x+ 1)/ (x- 2))? at x = 3. |(Type an equation.)

A: Given y=((x+1)/(x-2))^(2) We have to find tangent line as shown below  We know that equation of line…

Q: Differentiate the function. y = ear³ y' =

A: The general formula for differentiating the exponential function is, dy/dx = differentiate…

Q: Use derivative to show that fx)= In(x²1) %3D is one-to-one.

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Q: Please solve a. When tangent line is f(x)=x^3+4x and slope =-1, it is passing through point (2, a).…

A: Given tangent line is .... f(X)= X3 +4X       and slope = -1  f1(x) = ddxx3+4x         = 3x2+4 M =…

Q: A particle’s velocity is given (in units of meters per second) by the function v = 1 + (t^3)/10 –…

A: A particle’s velocity is given (in units of meters per second) by the function…

Q: evalu ate the integ ho ral (Usec for Hhe constant of integ ra (In (x))²dx

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Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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