Compute the required derivative approximations for the functions at the specified location, for the specified step size, and specified method. 1. y = (x^3) + 4x - 15  ;  at x = 0, h = 0.25

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A: To re-write the given integrand to make it integrable.   Given, I=5x+22x2   The integrand can be…

Q: 15 20 25 20 | 33 t (ms) 5 10 30 35 40 45 50 55 60 a (m/s?) 0 3 8 42 40 48 60 12 8. 4 3 60 I(f) =…

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Q: Given the joint density function (6 — х — у 0 < x < 2,2 < y < 4, f(x,y) = , 8 0, elsewhere a. Verify…

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Q: dy x-x3 Using the definition of derivative, find if y dx 1-х"

A: using division rule for derivative we can get answer for this question

Q: 1. Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting…

A: Given, If u = Ln (x) then resulting integral is ∫2u du

Q: Question#3: Use the Newton Raphson method to find the solution accurate to within 10-5 for the…

A: The newton Raphson method is also termed as newton's method it it the quick way of calculating the…

Q: If f(x) = 4x²+6, then what is the derivative of f(x) with respect to x? %3D 8x 8 O x 4x

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Q: To calculate the derivative dy/dx of the parametric equations x(t)= 3cos t and y(t)=3sin t for…

A: For dy/dx we will differentiate y and x w.r.t and divide

Q: Create an LOWER TRIANGULAR MATRIX using ROW operations. Show each step and the formulas used. Then,…

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Q: Quiz 5 1. obtain in factored form a linear differential equation with real, constant coefficients…

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Q: Hazen-Williams equation used to define

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Q: Q2/ find ound 으근 as function of and v iF Z= tan (*), X=u Cos v ,y=u SinV /3

A: Given data  Z=tan-1xyx=ucosvy=usinvZ=tan-1cotv So calculate  ∂Z∂u  ∂Z∂u=∂tan-1cotv∂uAs v is constant…

Q: Consider H.W.4 a closed rectangular box with a squar base. If base side is measured with evror at…

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Q: y" +3y' = 0;

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Q: 1. Derive the continuity equation in cylindrical coordinate by using the infinitesimal element (dr,…

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Q: Evaluate using Linear Equations.

A: Answer should be option C. I think its some of typo error because t can’t come in the question. As…

Q: The length of a line was measured repeatedly on three different occasions and probable error of each…

A: 1st set of measurements = 1201.50±0.02m2nd set of measurements= 1201.45±0.04m3rd set of measurements…

Q: An engineering function is given by a = y?e² cos x At x = 1.3,y = 2.1,and z = 4.9, compute the…

A: The engineering function is given beow,a=y2ezcosxx=1.3y=2.12z=4.9To determineAbsolute errorRelative…

Q: Determine whether the matrix expression E(2B + A) is defined. Enter the size of the resulting matrix…

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Q: The next iterative value of the root of (x^2)-4 using the Newton-Raphson method, if the initial…

A: To determine the next iterative root of a given function for a given initial guess using…

Q: Multiply the Following Vectors using cross Product method. W = † x F F = ( 5i + 3j – 8 k) N f = (2i…

A: Given   F= 5i+3j-8k  r=2i-4j-5k

Q: Show that the hydrostatic pressure equation p = yh is dimensionally homogeneous. Use the grid method…

A: The formula to calculate the hydrostatic pressure is, p=γh Here, Y is the unit weight of any fluid…

Q: Given matrix M below, [sin² A sin A cos A M sin? B sin B cos B Co Lsin? C sin C cos C CO Show that…

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Q: Calculate for one real root of tan x = 4x with Xo = 1.2 using the Newton-Raphson Method until…

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Q: If P(-X < Z < +X) = 0.9198, find the value of X using Standard Normal Distribution table.

A: Solution Let the area to the left of -x and right of +x be a Therefore, a + a + 0.9198 = 1 2a  = 1-…

Q: 1. Derivatives differ from integrals by a. Derivative of a function represent the slope of the curve…

A: 1. (a) is the correct answer. Derivative represents slope of curve while integral represent area…

Q: Evaluate the following indefinite integrals using appropriate integration formula, Complete answer…

A: To integrate the function

Q: If f(x) = 5 x² sin x, then what is the derivative of f(x) with respect to x?

A: f(x)=5x2 sinx f'(x)=5((Deriv of x2 * sinx)+(Deriv of sinx * x2)) f'(x)= 5(2x sinx + x2 cosx) f'(x)=…

Q: Given the matrix equation, solve for x and y. 1 1 3 2

A: Given Matrix1132xy=20

Q: Locate the first nontrivial root of sin x x² where x is in radians. Use Regula-Falsi with the…

A: This plot indicate that a non trivial root is located at about 0.9

Q: where x, y and z are variables and k is a constant. If x, y and z has maximum percentage errors of…

A: This question is from standards and error measurement ch  given data  percentage error of X = 1 %…

Q: To apply Simpson's 1/3 rule in integration, the number of interval must be? O 1 O 8 O 7 O O

A: Explanation: To apply Simpson's 1/3 rule in integration, the number of interval must be even number.…

Q: Solve the resultant and magnitude

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Q: 7. dy cos(x + y), when x = 0,y =; 4 dx

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Q: Q 1: Find the first and second order partial derivatives of f(x,y, z) = x³ + 3x²y + ysinz

A: Given data: fx, y, z=x3+3x2y+ysinz

Q: If f(x) = 5x³+2, then what is the derivative of f(x) with respect to x? O 15x O 5x2 O 15x2 O 15

A: Given  f(x)=5x3 +2 let y=f(x)=5x3+2 derivative of f(x) with respect to x  dydx=f'(x)…

Q: Solve the following linear system by using X = AB where X = |y, A = Coefficient matrix, and B =…

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Q: If y = x^5 e^-2x, find the first derivative.

A: Given data: y=x5e-2x

Q: Applying the Newton-Raphson method to approximate a root of f(x) = xe" with initial guess Po = 1,…

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Q: e point of applica ction. 500 N B 2

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Q: S(x) 3.5 0.285714 3.6 0.277778 3.7 0.270270 3.8 0.263158

A: One of the most used methods is newtons forward difference method

Q: Determine the displacement of the log if the truck at C pulls the cable 4 ft to the right. B

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Q: Using this solution, kindly expand and explain how to solve for Ray, Rby. Rcy, and Rdy getting the…

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Q: What is the method of least squares and why is it u

A: The method of least squares: The least squares approach is a type of mathematical regression…

Q: Method of undetermined coefficient, Nonhomogeneous

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