Q5: a- Use two segment trapezoidal rule to integrate the following function numerically: f(x) = 0.1-1.5x + 100x-397x + 600x-200x From a=0 to b-0.8

Q: X~N(22,3) find maximum of x in bottom quartile

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Q: Find absolute maxima and minima of the function f(x; y) = x^2 + y^2 on the closed triangular plate…

A: The points are:

Q: What is the maximum value of y = cos x. For - < x < < ?? 1 1/2 2.

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Q: find the orthogonal trajectories of the family of curves x2+y2=a2

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Q: At waht x does f(x) have a local(relative) maximum?

A: A function f(x) is defined for x values there are local maxima and local minima in the given curve.

Q: 6. Solve (cotx - 1)(2cosx + 1) = 0 where 0° sxs 360°. Show your work. %3D

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Q: Determine the critical points of the function f(r, y) = 4x +4y + x²y+ xy? and whether they are local…

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Q: Solve using linearization using one digit approximation only 1) f(x) = V5

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Q: Estimate (2.4) by using a linear approximation of f(z) =x² about the value z 2. %3D Round your…

A: We have to find

Q: Find the slope of the curve y=x2−3x−4 at the point ​P(2​,−6​) by finding the limiting value of the…

A: Giveny= x2-3x-4 = f(x)at point ( 2, -6)as f(x) =x2-3x-yand f(2+h) = (2+h)2-3(x+h) -4…

Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

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Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

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Q: 10, 6J. the Midpoint Rule with timate the folllowing. IL x. v) da How could you improve your…

A: As m=n=2 Therefore let us take the subintervals as: 0,3 and 3, 6 The midpoints od these subintervals…

Q: • Use the trapezoidal rule with n = 14 to estimate: -dx √√1+x²

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Q: When does f(x) = ln(x + sin2x), 0 < x < 2π have a local minimum?

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Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: Find the minimum and maximum of the function y = z – 1280z on [-5, 5] by comparing values at the…

A: We first find the critical points using y'=0

Q: Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 4x…

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations using the initial…

Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: Q2// Use Euler's method (with all details) to find approximate value of y when x = 3 of = 2y-2x²-3,…

A: The Given initial value problem is: dydx=2y-2x2-3, y(0)=2, h=0.3 To find: y(3) using Euler's…

Q: Use 4-segment the trapezoidal rule to numerically integrate f(x) = f(x)=∛(44x-4) from a = 44 to b…

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Q: Find the critical point of the function f(x, y) = V 8x2 + 5y2 . Determine whether it is a minimum,…

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Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

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Q: Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests.…

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Q: Find the relative extrema of f(x) = 9+30x – 3x? using both first and second derivative tests. f(x)…

A: A detailed solution is given below.

Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

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Q: True or false: The minimum value of the function y = 2 sin x + 1 is -1._______

A: True or false: The minimum value of the function y=2 sin x+1 is -1.

Q: Numerically integrate f (x) = x° +3x + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule…

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given function:                         y=ex-e-x The domain of a function is the set of input values…

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of              f(x)…

A: The Newton Raphson method is used to solve an equation numerically. When the extremum of a function…

Q: Find the relative extrema of f(x) = 3 + 70x – 7x² using both first and second derivative tests. f…

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Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

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Q: Find a root of an equation f(x) = x^4-2 using Halley's method.

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Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

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Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find absolute maxima and minima of the function f(x;y) = x^2 +y^2 on the closed triangular plate…

A:

Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: Find the point where the minimum value of f(x, y) = xy subject to y = 90 – x occurs.

A: Find the point where the function f(x,y)=xy subject to y=90-x2 attains its minimum value.

Q: Using Secant method, the approximation of the root of the function f(x) = xe*-x - 1 %3D accurate to…

A: The given function is f(x)=xex-x-1 And x0=0.7   &amp;  x1=0.76

Q: y у%3D х* + 8х — 1

A: Second derivative test to Find Maxima and Minima : Firstly , we can find critical points , f'(x) =0…

Q: Estimate v16.3 using the linearization L(x) of f(x) = /x at a = 16. (Use decimal notation. Give your…

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Q: 12. Differentiate the function (use chain rule): y = 2x2 Vx+1'

A: To differentiate the given function

Q: 25 p1 3) Compute f(x)f'(x) dx where f(x) =x +2, using the Composite Trapezoidal 2 rule, your results…

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Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

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Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x…

A: The fixed-point iteration method uses the formula: xn+1=ϕ(xn) to perform the iteration and to…

Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)

A: We need to find the orthogonal trajectories of the function y=x+ce-x, which is passing through (-2,…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: