5. Use the fplot command to plot the funetion f(x) = e2sin(048)5cos(4x)in the domain -205 x 30.

Q: (a) Find the quadratic approximation P2 for f (x) = In x at x = 2 (b) Use above to approximate…

A:

Q: let g(x)=     (2x2++2x-24) / (x3-16x) the holes and vertical asymptote(s) for this function exist…

A: let g(x)=     (2x2+2x-24) / (x3-16x)Let's factrorise the numerator and denominator.Numerator =…

Q: Graph the funetion and Rined the average Valee fct)= (tー)? on [o,3] [0,3] %3D

A:

Q: 1. Find the roots/s using Secant Method a) x*-x-10 = 0

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 5. Use the Intermediate Value Theorem (IVT) to show that the equation below has a root in the…

A: Given that, The function is, f(x) = 2x3 + x2 + x + 3 = 0 interval is = (-2, 0) We have to prove by…

Q: Write the Taylor polynomial T5(x), for the function f(x)=cos(x)f(x)=cos(x) centered at x=0. T5(x)= ?…

A: Function given is- f(x)=cos(x) centered at x=0 We need to write the Taylor polynomial T5(x) for the…

Q: 13 Give the six circular function of 4.

A: To find: The six circular function of 13π4 (θ=13π4)

Q: 8. Construct a natural cubic spline that interpolates the function f(x) = 1/(1+ x²) at x = -2, –…

A: Let the cubic spline polynomial of f(x) be H(x). Then Hx=fa+fa,ax-a+fa,a,bx-a2+fa,a,bx-a2x-b…

Q: 5) Find the general form of the funclion f(x), given that f"(x) = X+1, f(0)=1, and f'C(6)= -1

A: The solution are next step

Q: Find a 5 with real coe ffients that satisfies the aiven conditions. zeros of a, 5and-3; P)=4…

A: We have to find the polynomial of degree 3 with given condition.

Q: Consider the following table: Xi 5 6 f(X) 7 12 14 Find f(4) using Lagrange method for interpolation.…

A:

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 8e* on the interval…

A: Let the given function is  y(x)=8ex  on the interval [0, 9]

Q: Find Valume x zO; Ekort the X3D2; 0 about the x- axis

A:

Q: 2_Use Fixed point method to find the root of the function  4ln(x)=x4ln(x)=x  with initial guess…

A: Solving below the problem x=4lnx, with initial guess x0=8

Q: On what intervals is f(æ) = x³ +3x² – 24r+7 increasing? The graph is increasing on the intervals OD…

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Q: 1. Use the bisection method to find solutions accurate to within 0.0001 for the function…

A:

Q: 14. Suppose that Yk+2 – Yk+1 + 2yk = 4*, k > 0, and that yo = 2, y1 = 1. Find yk using the method of…

A: Solution of difference equation is a function that satisfies the given difference equation. Solution…

Q: Find the root of f Ca) = as +bx°+ dsinx between Xe2 and x =4 with the use of 4- Bise ction method a=…

A: Suppose the root of the function fx lies in the interval xn-1,xn. Use the following formulae, to…

Q: A Tibetan monk leaves the monastery at 7:00 am and takes his usual path to the top of the mountain,…

A: Consider two points in the the path of the monk on the consecutive days The function is given by:

Q: Suppose that a, b>0. sin(a · x) eb-x ? What are the horizontal and vertical asymptotes of f(x)=- X -…

A: we have to find the horizontal and vertical asymptotes of the equations  f(x)=sin(ax)x+ebxx-2

Q: = x3 + x - rith starting d with the of x after the

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Q: Employ the Parabolic Interpolation method to find the maximum of the following function using these…

A: Given: x0=-2, x1=-1, x2=1 f(x)=-x^4-2x^3-8x^2-5x

Q: B- Obtain PDE by eliminating the arbitrary functions from the following; 2- Ix + my + nz = Ø (x2 +…

A: We have to obtain PDE by eliminating the arbitrary function from  lx+my+nz = ϕx2+y2+z2.

Q: 3. Determine the pole and the residue of 22+1 f(x) 24-z-2

A:

Q: The error will disappear when using f(x)=x* to find the Lagrange interpolating polynomial p(x) if n…

A: Sol

Q: B\ find the root of f(x)-x'-x-1, in [1, 2] with 4 decimal places and E-0.009 by using Interval…

A: Bisection Method  Follow the below procedure to get the solution for the continuous function: For…

Q: If f(1) = 2 and 3 <f'(x)<5, what is the largest f(4) can be? Be sure to fully justify your work. In…

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Q: Find a polynomial function p(x) of degree 3 with real coed fiends that satisfies the given…

A:

Q: Given A = 9 4 in a deformation y = Ax, find the principal directions and corresponding factors of…

A: Given A=4994 To obtain the Eigen values, consider…

Q: exO pp. 5 Graphing pieeewise-Definead hunettons, the funcfion T-X, X 70

A:

Q: Cost (e) lim r t2

A: L'Hospital rule is a method to evaluate the limit of a rational function at a given point. The…

Q: 3. Determine whether the functions e2a and xe2 by calculating Wronskian.

A: Let f(x) = e2x and g(x) = xe2x Then,  f'(x) = 2e2x ,and g'(x) = e2x+2xe2x (by using chain-rule of…

Q: find the absolute maxima and minima of the func-tions on the given domains. ƒ(x, y) = x2 + y2 on the…

A:

Q: The graohg of the funcation f(x)=ax^2+bx+c has vertex at (1,4) and passes(-1,-8). Find a,b, and c

A: Given equation f(x)=ax²+bx+c has vertex at (1,4) and also passes through (-1,-8) To find a,b and c

Q: ons 1-e2z (b) 3.

A:

Q: I Example 8.24. Using three point Gaussian quadrature formula, evaluate * dx q85 Jo 1+ x

A:

Q: c. Find all the points X1 x2 in R3 [x3. that are transformed to Explain.

A: Given, the transform spantial coordinates                               x1x2x3into plane coordinate…

Q: Ql Find the Ligit hor the hollowing fun drogs mlim -2x-4 メ→-2 ×3+2メー 2 lim 4-x メ→タ 5- g to

A:

Q: 3- Determine the Lagrange polynomial that interpolates the data in the following table 2 4 y 1 -1 3…

A: From the given information, x0=0,x1=2,x2=4,x3=6 and y0=1,y1=-1,y2=3,y3=4. Formula for Lagrange's…

Q: 2. if √o = √T = 1 and √4 = 2 estimate √3 to by constructing Lagrange polynomial, then compare with…

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Q: Find x 16 in. Show your work here. 12 in.

A: Given height is 16 in. and base is 12 in. To find x, Pythagoras theorem is used: Pythagoras theorem…

Q: 11. [D' +4]y=sinx, using reduction of order and letting y, = vcos2x. (Note: This is the same problem…

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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: Find the Taylor polynomial p3(x) for f(x) = 4e² at = 1.

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Q: From pde by ellminating arbitrary funcation F(x²+y²+z²,z²-2xy)=0

A:

Q: If L(x)=mx+b is the linearization of the cube root of 3x+1 at x-333, then b= Enter your answer as a…

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Q: 10. Find all of the discontinuities that exist for g(x) = 2*+3x-4 Show any work required to %3D x+1…

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Q: The characteristic of Zs[x]/ is 6. 3 O None of the choices

A: The characteristics of the function

Q: QCx) = (x +s)? (x=3)4 %3D

A: Q(x)=(x+5)2(x-3)4

Q: 1. Find a root of an equation f(x)=x²-5 using Bisection Method in the interval [2,3] and (b – a) <…

A: Intermediate zero theorem: If f is continuous function on [a, b] and f(a), f(b) has oppostive signs…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.