а. f(x) %3D х3 In x + cos x b. f(x) %3D logs(3х3 + 2х + 1) ((5х+1)6 Vx2+x с. f(x) %3D In

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

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Q: 4. Determine the root of F(x) = 7 sin(x)e-x – 1 using secant method with 3 iterations glven Xi-1 =…

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Q: .3 X ナメ-2 find x using fixed point method where X= 015 (initial Value)

A: The given function fx=x3+4x-2 Find the value of fx at x=0.5. f0.5=0.53+40.5-2=0.125>0 Find the…

Q: 2. Find the root of the function using Fixed-point Iteration. f (x) = x cos (x) - x?

A: Consider the given function as, fx=xcosx-x2

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A: x = 0 r cos θ = 0 θ = π2 x = 322 r cos θ = 322 r = 322 sec θ   y = x r sin θ = r cos θ θ =…

Q: (a) Apply first principles, to calculate the differential coefficient of (x) = 5(3x²+2) when x = 3.

A: Solution a: Given function is f(x)=5(3x2+2) using first principle…

Q: Solve for differential Equation y^2dx+x^2dy=0

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…

A: F(X)= 12x3 +3CSC2X- 5√x - 4π   ∫F(x) dx = ?   Important points: 1. ∫xndx = xn+1n+1 + c2. ∫cosec2x =…

Q: 1. Differentiate the implicit equation with respect to x. x³ + y³ ln(x) + e²y = 4

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Q: 2.(Trivial) Verify that for any positive integer n the piecewise defined function x2n+1. – x2n+1. x…

A: y = x2n+1, x<0andy'=(2n+1)x2n+1-1y'=(2n+1)x2nVerifying;xy'-(2n+1)y=0L.H.S.=x (2n+1) x2n -(2n+1)…

Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: / (6x" – 7Va+ 19x- 8 -- + Evaluate + 14e0* + V11 dx. (You don't have to show the work.)

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Q: Q4// Solve the partial differential equation a²u ди cos*x given that = x when y=0 and u=3 when x=0?…

A: The given partial differential equation is ∂2u∂x∂y=cos4x Integrating on both sides with respect to y…

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Q: 2. Compute for a real root of sin -x 0 using three iterations of Fixed- Point Iteration Method with…

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Q: Find the 3rd derivative of y = xlnx. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A: Given : f(x) =y= x lnx To find : Third derivative of given function

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Q: a particular solution that satisfies the differential equation F'(x)=3x^2 +2x -1 and the inital

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: Find a double root of the equation f (x) = x' -x -x+1 = 0 by generalized New- ton's method.

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Q: 4. Find at the point (1,1,1) if ln(xyz) = 1 əx

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Q: he measurement of the radius of the end of a log is found to be 20 inches, with a possible error…

A: Given that: Radius of log, r=20 inError in measuring radius, dr=18 in

Q: 2. Compute for a real root of Sin Vx – x = 0 using three iterations of Fixed-Point Iteration -…

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Q: f f(x) = ex – e-x – 2x and g(x) = x – sinx, evaluate the limit of f(x)/g(x) as x approaches zero.…

A: Here we have, f(x)=ex-e-x-2x and g(x)=x-sinx We have to evaluate limx→0f(x)g(x)=?

Q: (1) 1-tank x=sech'x

A: Since you have asked multiple questions in a single request so we will be answering only first…

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Q: obtain in alinear differential eqaution with real, constant coefficients that is satisfied by the…

A: The solution of the problem is given in the next step.

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A: Given that f'(x) = 20x3 - 8x and f(1) = 1 then find particular solution. Here i attached solution of…

Q: Compute for a real root of sin Va – x = 0 using three iterations of Fixed-Point Iteration Method…

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Q: Find the differential of the given functions. 1. y= x-2x² + 5 5. у 3 1- -s2

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Q: Find the differential of y² + x = 4.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…

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Q: Suppose f is differential equation on (-inf, +inf), f(3)=12 and f'(3)=-2 use linear approximation to…

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Q: In each problem, obtain the differential equation of the family of plane curves described and sketch…

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Q: Solve the differential equation by variation of parameters. ✓+y=sin²(x) - con(x) + cylin(x) + con(x)…

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Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: (y-x)y'=y-x+ 2; y=x+2√√√x+5 When y = x + 2√x + 5, Thus, in terms of x, (y-x)y' = y=x+2= Since the…

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Q: The approximation of the root x* of the function f(x) = -x + sinx-1 accurate to within 10-3 using…

A: Needs 2 iterations

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Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

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Q: Solve the High order differential equation by using Inverse Operator (D-) Method y'' – 26y" + 125y'…

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Q: x2-1 7) lím x--1 x+1 (x+4)ln(x+6) 8) lím x--4 9) lím x-0 Vx+5-V5 x2-16

A: Compute the limit as follows. limx→-1x2-1x+1=limx→-1x2-12x+1=limx→-1x+1x-1x+1…

Q: 7. Find the first 2 iterations for the root of f(x) = x- cosx by the Secant method on [0,1.

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Q: In the Four-Step Rule, which among the steps is the most important, upon which the foundation of…

A: We need to eliminate ∆x from the denominator else the limit does not exist.

Q: Find the particular solution that satisfies the differential equation and the initial condition.   f…

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