Solve step by step and in digital format Given the vectors u=(3,4,5) and v=(1,-4,0) find a) The magnitude of the vectors u and v b) The unit vectors of u and v c) The uv dot product

Q: f(x) = x2 cosh 3x -

A: Simply, I have used laplace transform formula.

Q: If 2x³4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then |x5-x4|< €, X4 = 1.36603, x5 = 1.366024, is the…

A: The absolute error, ε is calculated using the formula: ε=xn+1-xn, where, xn+1, xn are the present,…

Q: (a) Provide an example of a sequence (an)neN such that a2m → 2 but (an)nen does not converge to 2.…

A: To find find the example of the given sequence that satisfy the above condition .

Q: Consider the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y)…

A: Using midpoint rule volume will be equal to  V=A∑fa,bWhere A= Area of each rectanglea,b are centers…

Q: Give negations of the following statements using formal mathematical language. negations must not…

A: To find: the negation of the given statements.

Q: 1. Find the arc length of the curve y = 2/3x 3/2 from (1, 2/3) to (2, 4/3).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: X(π/4) = -√2 x'(π/4) = 0

A:

Q: with examples, many ways that a sequence could diverge

A:

Q: B: Solve the following differential equation by Laplace: + + 2x + 5y = e-¹ sint dx² dx ,y(0) = 0,…

A:

Q: Calculate Sxe 0 re-L₂ (x)L(x)dr by using Recurrence relation of Laguerre function, Ln

A:

Q: Q/ If F1 = 250 N and F2 = 375 N are two forces, the angle between F1 and the positive y-axis is…

A:

Q: Find the Fourier series of f(x) uestion 1 1) If f(x)= x,-2<x<2

A:

Q: Solve for the right spherical triangle whose parts are a = 73°, b = 62°, and C = 90°.

A:

Q: A is a non-empty set. Show that the power set of A is in one to one correspondence with the set of…

A:

Q: :A)Evaluate the volume enclosed by the function z = x + y² and the region bounded by x = y² and x =…

A: Given that: z=x+y2 and region bounded by x=y2 and x=y3. The objective is to determine the volume.…

Q: Sketch the surface represented by the parametric equations x = cos³ t and y=sin³ t with 0st≤n/2.…

A: Given: x=cos3t and, y=sin3t we have to find the surface area by rotating about x-axix. Suppose the…

Q: Consider the solid Q bounded by the surfaces S₁: Z-1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y =…

A:

Q: 1. Let matrices be 6 -2 -2 [3 1 19 4 -4 0 A 10 -3 1 1 C=0-2 -10 5 1 -4 0 11 L4 0 a = 1 b=[308]…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: If x=(85-6y +z), y =(72 - 6x-2z) 15 ,z=(110-x-y), by using gauss sidel method then 54 X= ...…

A:

Q: Find the equation of the line which best fits the data points (2;1) , (4;4), (5;1),(6;3).

A:

Q: Check High school students across the nation compete in a financial capability challenge each year…

A:

Q: Determine the least upper bound (in R) of the set 2 A = {3-2² ²₁ ²n=N} :neN}. + 1 You must fully…

A: Please see the attachment

Q: Find the Fourier series of f(x) estion 1 1) If f(x) = x,-2<x<2

A: We have to find the Fourier series of the given function f(x).

Q: B- Construct a model to perform the following differential equation, assigning hame and parameter of…

A:

Q: 11 By reversing evaluate the -3 -9 ffix the orders of integration following integral x cos(y) dy dx

A: Given integral ∫03∫x29 xcosy2dydx The region bounded by  y=x2 , y=9 , x=3 and x=0

Q: B. find polar form of the complex number z = (2√3-41)+(-√3+ 5i).

A: The complex number z=x+iy in the form of polar co-ordinate z=rcost+i rsint Where r=x2+y2

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ +.. 4 16

A:

Q: Find an explicit solution of the given initial-value problem. 1 √1-y² dx √1-x² dy = 0, y(0) = = y =

A:

Q: Figure 1 shows a continuous piecewise function's graph. f(t) 2.0 1.5 1.0 0.5 2 3 4 Figure 1 a) Based…

A: To find the value of A, B, C, D .

Q: Hubert's job is to shovel 3/4 of the driveway whenever it snows. If he gets 1/3 of the driveway…

A: He gets 1/3 of the driveway shoveled right after the snow stops, and does another 1/4 of the…

Q: f(x)= x³ + 4X² - 10 .Xo = 1, Accuracy=0.001

A:

Q: Given the equation x-n-sin () = 0, the equation has a uniqe root in [0, 2π]. True False

A:

Q: B: Solve the following differential equation by Laplace: d²y + +2 2x + 5y = e-¹ sint et dx² dx ,y(0)…

A:

Q: son is a senior at Tech, and she's inves lering leasing a food booth outside the he and Julia knows…

A: The decision variables can be denoted as, x, y and z are number of pizza slices, hot dogs and…

Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: The complex number: z=x+iy can be represented in its polar form as z=rcosθ+isinθ. Here, r=x2+y2,…

Q: (1) 2xyy² + y² = 2x²² separable □ exact linear in x linear in y □ homogeneous Bernoulli in x…

A:

Q: HEAD and Dunlop set prices simultaneously for their respective tennis rackets. Let p₁ ≥ 0 denote the…

A: Let us start solving the problem step by step  Given head snd Dunlop set prices simultaneously for…

Q: B: Find: 1- √Ze-²³ dz 2- r(-2.5)

A:

Q: Evaluate the following integral: f*(1-e²³)dx a. Analytically b. Trapezoidal rule c. Composite…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2x+3y-z = 5 The solution for the linear system using Jorden method is 4x + 4y - 3z = 3 1-2x + 3y - 2…

A:

Q: oblem Solving 1. Consider the function y-3cosx-2x]-1. a. What is the amplitude of the function? b.…

A: As per the policy of bartleby the provisions is to solve 3 subparts at a time now I am solving 1st 3…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A:

Q: Find the Fourier series of f(x) Question 1 2) Let f(x) = {1: ), -≤x<0 0≤x≤n 1.

A: As per the question we are given a piece-wise defined function f(x) for x ∈ [-π, π] And we have to…

Q: r = 3 sin 20

A: Given: Polar equation r=3sin2θ To find:  Graph of given polar coordinate

Q: 1.A rectangle cuboid 9 cm long and 7 cm widegiven that the volume of the cuboid is 315 cm3. Find (a)…

A:

Q: a) Apply trigonometric ratios and the Pythagorean Theorem to design a full zip line course. Explain…

A: Given: Trigonometric ratios To find: Reasoning

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A:

Q: the root lies between 2.625 and 2.75 is 2.6875. True False

A: To check roots lies between 2.625 and 2.75 is 2.6875. (True/False)

Q: The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval…

A: In this question, we need to find the area of each rectangle and not the area of the complete…