Find the absolute extremum value 1. y = x³ + 7x² – 5x; on [-6,1] 2. y = x* – 8x² + 16; on [–3,1.

Q: Show that yrcos(x²) is asoktion to: xy"-y'+4x3y =0, and then use reduction of order to fond a second…

A: Given differential equation is ,                                   xy" - y' + 4x3y = 0 (.)  If  y =…

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

A: To find the critical points we solve dy/dx=0

Q: Question number 7 please

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Q: 1. and t= 1-X %3D 7. find at X= 2 10

A: Please refer the attached image for complete solution.

Q: for ag(1-1) belongs (-7,x], (0,2%), (7,37] and (20x2, 22x]. find the Vale of lag (1-i).

A: log(z)=log|z|+iarg(z) If z=x+iy then z=x2+y2 and arg(z)=arctanyx Let z=1-i

Q: Find the x -value of the point on the curve y=V/2x+2 that is closest to the point (8,0). x=6 O x= O…

A: To Determine: find the x-value of the point on the curve that is closed to the point (8,0) Given: we…

Q: Which of the following is the 2nd approximate solution of the equation x^3 - x - 2 = 0 in the…

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Q: Find the maxcimum profit and the number of units that must be produced and sold in or der to achieve…

A: Given that, Revenue function: R(x) = x2 + 110 x + 60 Cost function: C(x) = 1.1 x2 + 10 x + 80 We…

Q: Solve for the root (5 decimal places) of the following equations using: A.) Incremental Search…

A: We are given f(x)=1.1288x-sinh(1.3288x)=0 x0=0.5, ∆x=0.1 ,TOL=0.001 Step x f(x) 1 0.5 0.51227…

Q: 1.Find the roots of the equation f(x) = x³ - x - 1 using xo 1 %3D %3D For 4 iteration by fixed…

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Q: Find the linearization of y = eV3x at x = 64. (Use symbolic notation and fractions where needed.)…

A: Solution: The objective is to find linearization of the given function

Q: If k = 3, for approximately what values of x in the interval [0, 1] will the error in the quadratic…

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Q: 2- Find the approximate roots of the following equation f(x)= 4x – x² -2 = 0 on [0,1], by using…

A: According to the given information it is required to find the approximated roots of the equation…

Q: Determine the approximate root (x_r2) of the f(x) = 0.35x^4+2x^3 -x^2+0.36x +4, upto 2 iterations…

A: f(x) = 0.35 x4 + 2x3- x2 + 0.36 x +4 f(-2) = -9.68 < 0 f(0) = 4>0 Hence, a root lies between…

Q: id I prove this qa is not to zero correctly? Please look over my proof and qa is not equa

A: Proof by contradiction:  Argument by contradiction is a type of proof in logic and mathematics that…

Q: 2x2+3x−20 has root(s) at x=

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Q: determine the second approximation Xz if Ne wtons Method was use to defermine the root o f the…

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Q: Find the linearization of y = eV1x at x = 36. (Use symbolic notation and fractions where needed.)…

A: We have to find linearisation

Q: Q1)) Find the root of f(x) =x – 3 by False position method with the interval [1,2], for three…

A: Given :  f(x) = x2 - 3  Here x2-3=0  Let f(x)=x2-31st iteration :Here f(1)=-2<0 and f(2)=1>0∴…

Q: Find the root ofx'+x-1 =0 by iteration method, given that root lies near 1.

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Q: Determine the real root of f(x) = 3x^3 + 2x + 6. Iterate until the estimated error falls equal or…

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Q: Find the first approximate root of the equation 2x^3-2x-5=0 up to 4 decimal places using Xn=1.5…

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Q: Solve for the root (5 decimal places) of the following equations using: A.) Incremental Search…

A: Given that, f(x)=x-12+ln x2-ex=0, x0=-0.6, ∆x=0.1 At x=-0.6, find fx: f(-0.6)=(-0.6-1)2+ln…

Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. x-1 А) True B) False

A: We know that algebraic substitution is method in this replace the veriable of integration by a…

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

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Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: from Euler' method: yn+1=yn+hfxn,yn Where, y'=fx,y=2+3xy  0≤x≤1 and y0=1

Q: 1. While using bisection method to find the solution of the equation f(x)=x*+3x-2=0 on interval [0,…

A: The given equation is x4+3x-2=0 on the interval [0,1] find f(0) f(0)=04+3(0)-2=-2 therefore f(0)=-2…

Q: Solve for X(n) using any 2 out of 3 methods of the given X(z). 1 X(z) = (1– z--)(1– z-2)

A: Given z‐transform can be written as Xz=z3z-1z2-1=z3z+1z-12

Q: 1d. Show that the given equation x- In xX= 0, has a root in the interval [4, 5].

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Q: The 2nd approximation to the real root of the equation x³ – x² – 1 in the interval [1, 2] using…

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Q: (a) Suppose that I let you choose any real numbers a and b with a < b. What is the largest possible…

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Q: at the one-dimensional and n are constants.

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Q: Find an interval of length 1/4in [1, 2] containing a root of the equation x^7 + 3x − 10 = 0.

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Q: 4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is…

A: The given function is,

Q: 7. Consider the IVP y'=(2x-4)e" with y(5)=0. Verify that y = In(x² – 4x -4) is the solution to the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: on the interval 0sxs 2. Note: Water weighs 62.4 Ib/ft3. 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 -2 -1.5 -1…

A: Given y=15x2

Q: 3. Compute the iteration for the function f(x, y) = 4x³ + 6xy? R=[1,3]x[-2,1]. on the rectangles

A: Double integral over the function

Q: During an iteration of bisection method for solving f(x) = 0, we got f(2) = -6, f(-1) = 2 and f(-4)…

A: The equation in the form f(x)=0 is called a transcendental equation. Geometrically the solution of…

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

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: Find the first approximation to the root of the equation x - 2x - 5 = 0 using Regular-Falsi method…

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Q: of f(x) =x – 3 by False position method with the interval [1,2], for Q1) Find the root three…

A: The given function is  f(x) = x2 - 3 To find the root using false position.

Q: Differentiate, and make sure to show all your work: 3z ²-2 Y= 5 cosh z

A: We have to differentiate the given expression, y=3x2-25cosh x Apply the quotient rule for…

Q: Prove LHS is equal to RHS: 8-(4x-5)=x-7

A: Given:

Q: 1. a)For what interval(s) is h(x) = 2x + 10 positive? b) For what interval(s) is h(x) = 2x + 10…

A: Given 1. h(x)=2x+10 and 2. y=-x2+36

Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.)…

A: topic- linearization of a function

Q: 2. The number of White Sturgeon in thousands can be modeled byf(x) = 170(0.82)*in a particular…

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