Knowing that arctan(1/sqrt(3)) = π/6, use the maclaurin series of arctan(x) to approximate π with an error less than 10-6.
Q: Calculate P(FIE), if P(E|F) = 0.72 P(E) = 0.9 P(F) = 0.57 Round your answer to five decimals.…
A: Given that P(E/F)=0.72 , P(E)=0.9 and P(F)=0.57 We know that P(E/F)=P(E∩F)P(F)or, 0.72…
Q: Kyla brought pies to a picnic. After the picnic, Kyla noticed (16)/(8) of the pies were eaten. How…
A: Given that: Kyla brought pies to a picnic. After the picnic, Kyla noticed 168 of the pies were…
Q: The plane 3r - 3y - 2 = 4 intersects the paraboloid z = ² + y² in an ellipse. Use the method of…
A: It is given that the plane 3x-3y-z=4 intersects the paraboloid z=x2+y2 in an ellipse. We have to use…
Q: An investor is presented with a choice of two investments: an established furniture store and a new…
A:
Q: Solve the following exercises, taking into account the Hilbert´s betweenness and congruence axioms.…
A: To prove both statements, we will use the Hilbert's betweenness and congruence axioms: Betweenness…
Q: A 170-lb man carries a 30-lb can of paint up a helical staircase that encircles a silo with radius…
A: Work done=∫CF·dr where c is the vertical segment joining bottom and top of the silo, F force due to…
Q: Sheridan Service has a line of credit loan with the bank. The initial loan balance was $6000.00.…
A:
Q: Find the minimum and maximum values of z= 3x +9y, if possible, for the following set of constraints.…
A: Introduction: Create an applied math (LP) problem. Step 2: Make a graph and draw the constraint…
Q: 2. Prove that for n ≥ 4, S(n, n − 2) = (3) + 3(7).
A:
Q: E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj…
A: the last three lines also proves b and c too.
Q: Find the area of the triangle with the given vertices. (-4,-4), (5,-4), (2,1) The area of the…
A:
Q: 3 -18-1-41-69 Lo Let V₁=0, V2 =t||vr||=== rue or False? V3 0.E [3]
A: The Gram-Schmidt process can be used to transform any basis for a subspace into an orthonormal…
Q: fa X · [ = Find the least-squares solution of the system 6 D-A -3 x 2
A:
Q: al find 96% (mod97)
A: Consider the modulo 96!mod 97. To illustrate the value of it. Wilson's theorem states, for any…
Q: 9. Use Laplace to solve the system: dx dt dx dt x(0) = 0, y(0) = 0, y'(0) = 0, y"(0) = 0 -4x+ d³y =…
A:
Q: A 60-year-old couple is considering opening a business of their own. They will either purchase an…
A:
Q: diagonalization of the matrix A is given in the form PAP-D. List the eigenvalues of A and bases for…
A: Given system is P^(-1)AP =D We have to tell eigenvalue and eigenvector
Q: O) The following integral is expressed in spherical coordinates. Express it as an iterated integral…
A: Drawing the region in rectangular coordinates:
Q: If n = 471, and f(x)=√18769 - x², what is the absolute difference between the left and right…
A:
Q: In 2013, the total sales from 3 different car production companies was 606,334 cars or light trucks.…
A: Given in 2013, the total sales from 3 different car production companies was 606,334 cars or light…
Q: Question #1. Express the following as a partial fractions and hence find the inverse Laplace…
A: Note: As per the guidelines we are supposed to answer only one question because this is not a…
Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…
A:
Q: On paper, sketch the solid obtained by rotating the region bounded by y=z³,z=1, and y=-1 around the…
A: Volume ≈∑πR2Dx=∑π{x3-(-1)}2Dx=∑π(x3+1)2Dx
Q: Q1. Part b. State which of the following problems are under-determined (that is, having insufficient…
A: If the conditions are given on single point, then it is called initial value problem. Example…
Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nidhi…
A:
Q: 3. Hil decides to finance their purchase of a $40,000 vehicle. If they put 10% down, Hil can get a…
A: “Since you have posted multiple questions, we will provide the solution only to the first question…
Q: Let C; = {i, -i} for all nonnegative integers i. a. U C₁ =? i=0 c. Are Co, C₁, C₂,... mutually…
A: According to guideline we need to solve only 1st three subparts
Q: QUESTION 6 For what values of p is the series below convergent? Select the correct answer below: P>0…
A:
Q: →* Find the least-squares solution of the system
A: Given that the system is 100100x→=4-24. To find the least-square…
Q: 7.31. A financial institution has entered into a swap where it agreed to receive quarterly payments…
A: Given a condition wherein "A financial institution has entered into a swap where it agreed to…
Q: Find the area of the region bounded by the graph of f(x)=x sin (x²) and the x-axis between x = 0 and…
A:
Q: A one-to-one function is given. Write an equation f(x)=((x-a)^(3))/(b)-c
A: A one-to-one function, f(x)=x-a3b-c To find the inverse function.
Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False
A:
Q: Outcome #2 Determine the surface area of the square based pyramid with vertices as shown on the…
A:
Q: Problem 3 Let P₁[2] be the vector space of polynomials of degree strictly less than 4. Consider the…
A:
Q: Find the present value and the compound discount of $4547.33 due 6.5 years from now if money is…
A: We have to find present value of the money and compound discount using given data.
Q: Write the expression in terms of In x and In (x + 1). In In 4 X 4 +² (x+1)³ 3 (x + 1)³ ||
A:
Q: Find the center of mass of a thin plate of constant density 8 covering the given region. The region…
A:
Q: Graphs of y = ex and y = ln x on the same axis.
A: Given functions are given below: y=ex and y=ln x by using calculator we get graph as given in step…
Q: Given two vectors p = (-3, -4, -3) and q = (4, -3, 3), find such vectors a and b that a+b= q; ais…
A:
Q: a. Sketch the graph of the given function for three periods. b. Find the Fourier series for the…
A:
Q: ) Take the Laplace transform of the following initial value and solve for Y(s) = {y(t)} Y(s) = Now…
A: y''+y=sinπt,0≤t<10,t>1y0=0, y'0=0
Q: How many triangles can be formed using the given measurements? mA = 131°, a = 25 yd, c = 8 yd One…
A: If
Q: Shade the Venn Diagram to show the set. F'n (CNA) Use the graphing tool to shade the set. Click to…
A:
Q: 2. Use cylindrical coordinates to solve the following problems. I) Integrate f(x, y, z) = 4ze²+²…
A: We need to find the moment of inertia of a spinning top described by x2+y2≤z≤4 about the z-axis.…
Q: 4. The graph of a function f' is shown in the figure. (a) Sketch the graph of f given that f is…
A:
Q: The graph of f is given below. 6+ 5 4 3 2 -6 -5 -4 -3 -2 -1 -1 -2 -3 f(x)dx + [ f(x)dx= Lo f(x)dx…
A: Since you have asked multiple subpart question, we will solve the first three subparts for you, as…
Q: A loan of $4000 is due in 6 years. If money is worth 4.9% compounded annually, find the equivalent…
A: Not: As per the guidelines we are supposed to answer only one question in single post. Please repost…
Q: Find a basis for the row space of A. A = 1 1 0 -3 -1 3 1 -1 1 -2 2 -7 Find a basis for the null…
A:
Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Monty for what value…
A:
Knowing that arctan(1/sqrt(3)) = π/6, use the maclaurin series of arctan(x) to approximate π with an error less than 10-6.
Step by step
Solved in 4 steps with 4 images
- Find a power series representation for x2cos(2x) and then by differentiation, show that the equation below is correct. Please answer and full detail and write it clearly,Find a power series representation for the function. (Give your power series representation centered at x = 0.)Find a power series representation for the function. ( give your power series representation centered at x=0)
- The power series in the image converges to cos x for ALL values of x. Using this fact and derivatives, find a power series that converges to sin x. ExplainFind a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 8/(1-x^2)Find a power series representation for x2cos(2x) and then by differentiation, show tat the equation below is correct. Please write it clearly
- How did you get the expression for xtan^-1(x)? How did you relate it with the maclaurin series of tan^-1 x?Not sure what the Taylor Series could be after finding the first three derivatives, help is appreciated.Using Taylor Series, show that sin x can be approximated by x − x ^3/6 within 0.01 on the interval [-1, 1].
- Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x 81 + x2Find Taylor series of function f(x)=ln(x) at a=7. I got c0 incorrect. Can anyone help me fix this issue correctly?Find a power series representation for the function. f(x) = ln(9 − x) Then determine radius of convergence