3.) Consider f(x) = cos1.5x for xo = 0, x₁ = 0.11, x₂ = 0.22, x3 = 0.33, x4 = 0.44. Calculate f₂' using the three-point and four-point formulas. Determine the errors, then compare. Compute using h=0.01 and 0.001. Is there a difference in error?

Q: Mr. Espinoza's debt of P160,000 is amortized by making equal payments at the end of every three…

A:

Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: Using the Laplace transform, solve the IVP. y = 5y₁ - 4y2 - 9t² + 2t, y2 = 10y1 - 7y2 - 17t² - 2t,…

A:

Q: Given the final result as I = 4        a) Trapezoid method and b) 1/3 Simpson method   Calculate it…

A: Given integral is I=∫0π2+2cosxdx and given the final result as I=4. a We have to solve the given…

Q: Determine the basis that generates the following vector space by clearing the variable y: M = {(x,…

A: A basis of a vector space is the collection of vector which is linearly independent and generate the…

Q: Find the equation of the parabola with directrix x + 2 = 0, axis y = 4, and latus rectum 4.

A:

Q: Let S be a non-empty bounded subset of R and let a be an upper bound of S. Show hat sup S = a if and…

A: Follow the steps.

Q: Triple Integrals. Divergence Theorem of Gauss How does learning it help us?

A: Here i had stated and give an example where if we use Gauss Divergence theorem then it is very easy…

Q: A Ferris wheel is 57.85 m tall and has a diameter of 54.4 m. What are the dimensions of a scale…

A: We have a scale of 1:95 So, we have a scale that measures for actual 95m we have 1m So, 95m has been…

Q: Q1. Calculate the area of the region lies inside the diagram (r = 4 cos 20) and outside the circle…

A:

Q: What is the indefinite integral of f (x) = x² + 12? S(x² +12)dx= - 1 3x³ + 12x + C S(x² + 12)dx =…

A: We have to find the indefinite integral of f(x)=x2+12 i.e. ∫x2+12dx .

Q: Using the Laplace transform, solve the IVP. y₁ = 5y₁ - 4y2 - 9t² + 2t, y2 = 10y₁ - 7y2 - 17t² - 2t,…

A:

Q: x-2x +x= 15; x (0) = 7, x (0) = -16

A: We need to solve the initial value problem having second order linear non homogeneous differential…

Q: Express integral I y + x (-4x-2y) -0,x= 1 and y=0,y-1-xto T. of u- dydx in terms of (u)and (v) given…

A:

Q: Find an equation of the tangent line to f(x) = 62³-14 when x=-1. You may include only your final…

A: Introduction: The formula for the tangent line of the curve y=f(x) at the point x=a is given by,…

Q: Which of the following is a unit normal vector to the plane with Cartesian equation 27-422-50?…

A: Given equation of plane is 2x-y+2z-5=0   To Choose the unit normal vector to the given equation of…

Q: A dead body was found within a closed room of a house where the temperature was a constant 65° F. At…

A:

Q: If g(x) = 1 - x and h(x) is: = 第二,then g(h(x)) h(g(x))

A:

Q: (b) Solve for x if X 1 -1 0 1-2 1 2 -1 = 7.

A:

Q: Vectors to choose from: u = (-2, -12, 4), v = (3, -2, 1), w = (8, 12, -4), p = (-3, 9, -3), ā = (4,…

A: Lets take two vectors from the given vectors u→=-2, -12, 4 & v→=3, -2, 1

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 find the maximum using Newton's method (X0 = 3 with a percentage error…

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: Using the concept of the derivative of sin x, what is the antiderivative of sin x? -2 cos x + C 2…

A:

Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax…

A:

Q: Find the volume of spherical segment of one base and altitude h cut from a  sphere of radius a.

A:

Q: 6. Find the total differential for the following equation of the following equation; z = ex² + y²…

A: We Know that  For function z = f(x, y) whose partial derivatives exists and  Total Differential of z…

Q: Ds4 30sin³ 60

A:

Q: Write the following integral in polar coordinates (do not evaluate the integral). Make sure to…

A: see my solution

Q: 9. √√4-4x² Convert ₁42(4-4x² - y²)dydr into a triple integral with dV = dydzdx. C

A: We can solve as follows

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions X₁…

A: given with

Q: 24/ Answer two from the following :- 2-x - Evaluate and change the order of integration in 1 = ²*xy…

A: We have to solve the given problem.

Q: What is the limit of limx→0 sin_x? 0 1/2 1 -1

A:

Q: 2.) Consider f(x) = sin2x for xo = 0, x₁ = 0.25, x2 = 0.5, x3 = 0.75, x4 = 1.0. Calculate f2' using…

A: Given that  fx=sin2x and x0=0, x1=0.25, x2=0.5, x3=0.75, x4=1 and h=0.2, 0.02

Q: 3- 1 له وال * IT X I sintLy, y Ha

A:

Q: n +∞ Determine whether the series Σn=1 3n+¹ ln(n + 1) is convergent or divergent.

A: The given series is      ∑n=1∞n23n+1lnn+1 To prove: the given series is converges or not.

Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

A: The two lines intersect each other if there is a point that satisfies the both lines. If there…

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: From the graph we can say that left hand limit at x=-1 is 1, whereas right hand limit at x=-1 is 2.…

Q: n² Determine whether the series Σn=1 3n+¹ ln(n+1) +∞ is convergent or divergent.

A: Given, Sn =∑n=1∞n23n+1ln(n+1) Here, an =n23n+1ln(n+1) and an+1 =(n+1)23n+2ln(n+2)

Q: Vectors to choose from: u = (-2, -12, 4), v = (3, -2, 1), w = (8, 12, -4), p = (-3, 9, -3), à = (4,…

A:

Q: 20-33 Use the method of Laplace transforms to solve each IVP. 20 21. y' + 2y = te', y(0) = 2

A:

Q: What makes a function f(x) continuous at x = c? I. f(c) is defined II. lim f(x) exists X-C III. lim…

A:

Q: Using the Laplace transform, solve the IVP. y₁ = 5y₁ - 4y2 - 9t² + 2t, y2 = 10y₁ - 7y2 - 17t² - 2t,…

A:

Q: − 2y)i − 4yz№ + → ne integral ƒF. di

A:

Q: Let ƒ be a Riemann integrable function on [0, 1]. n (i). Let g be in (0, 1). Find lim La n→∞…

A:

Q: 1. If (G,*) a group such that a² = e for all a € G. Prove that G is abelian. 2. Define an operation…

A:

Q: Determine and plot in a diagram the zeros and the poles of the following transfer function. s-1 3.…

A: Let us find the zero and poles and plot them in the pole- zero diagram in the next steps.

Q: ㅋ 2 IT 2 امر sa ir dz ar de

A:

Q: Find the flow of the field F = V(x²ze) once around the ellipse C in which the plane x + y + z = 1…

A: Let F be a vector field and C be the boundary of the surface S. The Stoke's theorem states that…

Q: 4. Determine if the following lines intersect. If the lines do intersect, state the solution. If the…

A:

Q: 5. Find the values of k so that the lines=²=and=+=+³ are perpendicular.

A: the value of k will be 6 or -2. The solution is below