Find the dependent, independent, derivatives, ordinary/partial, order, degree, linear or non-linear, general solution, p[atrial, solution and singular solution.

Q: As with discrete-time dynamical systems, equilibria can act strange when the slope of the…

A: We have to graph a rate-of-change function that has a slope of 0 at the equilibrium but the…

Q: f=x^3-21/2x^2+36x+1 For what value of x does f reach a minimum? x=? What is the minimum value?

A: Given function: f= x3 -(21/2)x2+36x+1 Differentiating f w.r.t. x, f'(x)= 3x2 -21x +36

Q: y = 2x²-3x+1 find it's least value y and the x which gets the least y, using Python code, and…

A: Given: The function Objective: Using gradient descent, find the minimum value of  and the…

Q: Find all maximum, minimum values and saddle points if any of the function f(x, y) = 10xye-cr²+y?)

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Q: Distinguish between Linear and Nonlinear Relations

A: Linear Relation A relation can be said as a linear relation when there is two variable having degree…

Q: 4x 2 x³ 3 - x²-x+1 S dx.

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Q: Exercise 3 Let f(x)=x³-9x² + 15x + 7. Find: 1- Areas of increasing and decreasing. 2- Local Maximum…

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Q: On a rectanglular coordinate system graph the equation and label the points on the graph…

A: Consider the given function, y=x3-1   Calculate the y-values of the graph at the given x-values.…

Q: Examine the function for relative extrema. f(x, y) %3D 5x2 + бу?- 10х- 12у+ 18 (х, у, 2) %3D ( O…

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Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each…

A: Introduction: It denotes a change in function from concave down to concave up or vice versa. In…

Q: Two variables x and y are related by the equation x+y=2.Find the maximum value of z where z=3xy^2

A: Given x+y=2x=2-y We need to find the maximum value of z=3xy2z=3(2-y)y2z=6y2-3y3 It has a maximum…

Q: y" + 2y - 15y = 5t²e³t with y(0) = 6, y(0) = -6

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Q: Y=24x^3-3x^4 = x^3(24-3x) What are the local and absolute maximum/ minimum and their coordinates

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Q: F(t)= t square-root 9-t^2. (-1,3) Find absolute maximum and minimum values

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Q: -1 sedx- cos(

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Q: sketch the graph with solution   f(x,y)= sqrt(16 - x^2 - 16y^2)

A: The main object is to sketch the graph f(x,y).

Q: 1 point Find a particular solution to Yp = | y" + 5y + 4y = -20test

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