Express the given parametrization in the form y = f(x) by eliminating the parameter. x = 5t + 2, y = 3t + 3

Q: a. Find a parametrization of the curve x = (y* – 3)e2y.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Express the given parametrization in the form y f(x) by eliminating the parameter. - In(t), y = 5 +…

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Q: When is the derivative dy/dx of the parametric equations x(t)= 3cos t and y(t)=3sin t for Ost22n…

A: Let's find.

Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

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Q: find a parametrization c(t) of the curve satisfying the given condition.  y = x 2, c(0) = (3, 9)

A: The given function is y=x2 and c(0) =(3,9) Let x(0) =3 and y(0)= 9 Take x =t +x(0) Thus, x = t+3

Q: The function is given in parametric form by the equations{x=t2+t−1y=t3−2t.Find the second-order…

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Q: 3. Given F(x,y)=(y,2x), find F-T ds where curve C is the parabola y=x from point (0,0) to point…

A: We use line integration to evaluate this.

Q: The function u(x, y) = 2020xY is a solution of the Laplace's equation True False

A: The given equation is: ux,y=2020xy  The given function is a solution to Laplace's equation.

Q: find a parametrization c(t) of the curve satisfying the given condition. y = 3x − 4, c(0) = (2, 2)

A: It is given that,

Q: Q1- The divergence of the function f= (r cos 0)e, in spherical coordinates is..........

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Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: Q1- The divergence of the function f = (r5 cos 0)e, in spherical coordinates is...

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Q: Compute dy/dx and d^2y/dx^2 for the following parametric functions

A: Given: y=e2tsin2tx=e2tcos2t

Q: Find a parametrization c(t) of the line y = 5 − 2x such thatc(0) = (2, 1).

A: This question comes under the category of calculus and from the parametrization of the line here we…

Q: Find a parametrization for the ray (half line) with initial point (3,2) when t = 0 and (- 1, - 1)…

A: Given points on ray is (3,2) for t=0 and (-1,-1) for t=1the parameterization isr(t) = u+tvwhere,…

Q: find a parametrization c(t) of the curve satisfying the given condition.  y = 3x − 4, c(3) = (2, 2)

A: To find the parametrization

Q: Exercise 1.3.2 Give a paramatrization for the curve curve y = x³ + ()x-¹, then deduce the length of…

A: Given curve is  y=16x3+12x-1

Q: Show that the function f(x, y) = e-2y cos 2.r satisfies the Laplace equation.

A: use partial derivative to check whether it  satisfy the equation or not

Q: Show that the function f(x, y, z) = x² + y? – 2z² satisfies the Laplace equation.

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Q: (1) Vf (f is a scalar function) 2) ř(t) and r(s), t is time and s is arch length.

A: This is a problem of vector calculus.

Q: Consider the 2nd order equation 2²y+ Sin dy y² +y = Choose the ight assertion A) the linearized…

A: consider the 2nd order equation d2ydx2+sindydt+y2+y=0 this is a non linear homogenous differential…

Q: find a parametrization c(t) of the curve satisfying the given condition. y = x2, c(0) = (3, 9)

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Q: Show that the function f(x; y; z) = 2z3- 3(x2+y2)z  satisfies the Laplace equation.

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Q: dx dy. If y =x is expressed with parametric equations such that - 6when x=1, what is dt dt 12 -6 -12

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Q: 10. A particle moves in the xy-plane so that the position of the particle is given by x(1) =1+cos t…

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Q: 2 5. x = 1+t2 2 y= t(1+t?)

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Q: Let h (z) = fi v (2t) dt.Find h' (1). Show the computations that lead to %3D your answer.

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Q: whether the equations are linear or non-linear and homogeneous or inhomogeneous: (1) Ury + Uyyy –…

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Q: RT a P = V -b T²v(v+b) – b 1/2

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Q: 3 Express the function Cost in terms of the 3 tく/2 unit step function and find its Laplace trans…

A: NOTE: Refresh your page if you can't see any equations. . first, we express the piecewise function…

Q: Assuming that the equations define y as a differentiablefunction of x, use Theorem 8 to find the…

A: Given:           x3−2y2+xy=0,     (1,1)

Q: Q1- The divergence of the function f = (r5 cos 0)e, in spherical coordinates is.. .

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Q: Q1- The divergence of the function f (r5 cos 0)e, in spherical coordinates is...

A: The given problem is to find the divergence of the vector function in spherical coordinates.

Q: x = Asin(wt+B); w a parameter, not to be eliminated %3D

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Q: Solve the given equation using a most minimalist approach/technique; YY' = X -1, Y (0) = 1

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Q: In Exercises 31-36, find a parametrization of the tangent line at the point indicated. (lns)i + s- 1…

A: Given,    r(s)=(ln s)i + (s-1)j + (9s)k   at s = 1 Therefore,          r(s)=(ln s, s-1, 9s)⇒…

Q: 2. Find the complex potential function f(z) = u + iv, given that 2u +3v = e*[cos(y) - sin (y)]. Also…

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Q: Find the acceleration of a particle having position function r(t) 6 sin ti+ 9t j+ 2 cos t k

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

Q: Express the given parametrization in the form y = f(x) by eliminating the parameter. x = 1/5…

A: Express the given parametrization in the form y = f(x) by eliminating the parameter.

Q: Assuming that the equations define y as a differentiablefunction of x, use Theorem 8 to find the…

A: Consider the given function, xy+y2-3x-3=0 now differentiate with respect to x,…

Q: E). f(x, y) = sen?(r2 – 0²) + In(r0 + 0), r = Vx2 + y² 0 = arctan con -

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Q: The two functions y1(t) = sint cos t and y2 (t) = sin 2t are linearly Independent. True False

A: →Two functions y1 and y2 are said to be linearly independent,                 if, y1 ≠k y2 , where…

Q: Parametrize the given curve. 4x + 6y2 = 3 c(t) =

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Q: Find a parametrization for the ray (half line) with initial point (3,4) when t=0 and (0, - 1) when t…

A: Line equation.

Q: Assuming that the equations define y as a differentiablefunction of x, use Theorem 8 to find the…

A: the equation we have  (x3-y4)6+ln(x2+y)=1

Q: Find the natural parametrization of r(t) = 1²0₂ + 20y. What is this curve?

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