Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: Solve the initial value problem: f'(x) = x13 - 4x + 12x + 18 and f(0) = 2. %3D %3D

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Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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Q: diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park…

A: Answer: (a) The admittance is about 20 vehicles per minute. (nearest tenth value) (b) 3 attendants…

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: Obtain the general solution y

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Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

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Q: Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0

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Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: Use variation of parameters to find a particular solution of y"- 2y' +y = 14xie" Yp(x)

A: y''-2y'+y=14x32ex find the roots for the homogeneous system  r2-2r+1=0 r-12=0 r-1=0 r=1 for one real…

Q: Use Fixed-Point method to find solution accurate to within 10 for the following nonlinear equation:…

A: Given equation is, The given initial solution is,  To find the solution of the given equation…

Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: Use variation of parameters to find a particular solution of y"- 2y' + y = 14xie Yp(x) =

A: Auxiliary equation for the given equation:

Q: use the two phase method to solve the lp MAX -  4x1  +  x2 - 2x3 st --    2x1 + 2x2 + x3 = 4 x 1+…

A: We can solve this using two phase method

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

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Q: 8. For f(x) = -4x + 5, find the solution to f(x) = 41.

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Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.

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Q: Find the particular solution determined by the initial condition. P(X) = 2x ° = 3x )= -6 2/5 - 3x:…

A: This belong to initial value problem of differential equation.first we solve the differential…

Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: f (x) = 3.x5 5x3.

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Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: Find the particular solution determined by the initial condition. f'(x) = rx) = 2x2/5 - 3x, f(1) =…

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Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: Find the local extremum  f(x)=x3+3x2-9x+6

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Q: Find the solution of y-x =0 using separable variable method. dx

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Q: Find the particular solution of xy' – 2y = -x ; when x y = 5 1,

A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

Q: (B) Solve f(x) = x³ – 2x – 5 using Secant Method, correct up to 3 decimal places. Where xo=2 and x1=…

A: Given that fx=x3-2x-5  also x0=2 and x1=3 solve it using secant method

Q: Find f by solving the initial-value problem. f '(x) =8/(x1/2), f(9) = 51

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Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

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Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

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Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

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Q: y = x* – 4x +1

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Q: Use the intermediate value theorem to show that the equation x^3+x^2−2x+1=0 has a solution i the…

A: (note - I assume i as iota) f(x) = x3+x2-2x+1 At x= -1,      f(-1) = (-1)3+(-1)2 -2(-1) +1…