Given points 4(-2, 1, 4) and B(5, - 7) Find all the points which are equidistant from A and B. Also, find the locus of these points

Q: he figure shows the flow of traffic (in vehicles per hour) through a network of streets. (Assume a =…

A: We creat equation of the flow of traffic X1 = 400 + X2 X1 - X2 = 400.............(1) X4  = 200 +X2…

Q: Show that a number with 30 digits cannot have more than 100 prime factors.  

A: Prime factor: A factor of a number which is a prime number. For example: consider a number 26. The…

Q: write these numbers in polar form for the complex setup: (1,-1,i,-i)

A:

Q: own officials want to estimate the number of households that own dog. Answer the following. (a)…

A: Answer :- (a.) 50 household are rendomly selected from the             town ; 14 own a dog is the…

Q: For each statement below, if the statement is true, then prove that it is true. If it is false, give…

A: BIG OH ESTIMATE: Let fx and gx be two functions where…

Q: The error involved in making a certain measurement is a continuous rv X with the following cdf. x<-2…

A:

Q: Explain Distinct eigenvalues ?

A: We have to explain the Distinct eigen values of any matrix.

Q: 4. Find the minimum value of f(x, y) = xy subject to x² + y² = 8. 5. Find the minimum value of f(x,…

A: As per bartleby policy, I've answered only one question. Please upload it under another question.

Q: find approximate values of the solution of the initial value problem at t = 0.1, 0.2, 0.3, and 0.4.…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: The equation 0.5(e* e*) + 5cosx = 2 has at least one solution in the interval [1.5,2]. O True O…

A: by intermediate value theorem  f(x)=0 is any equation in [a,b] if f(a)&lt;0 and f(b)&gt;0 then there…

Q: Бxї Zet (x, г) бе space, then Co-countable тебя xis not Тз-брасе

A:

Q: Here ê, are orthonormal unit base vectors in R³. 2.12 Let the vectors (i, j, k) constitute an…

A: Given: Vectors are  e1=-i^-j^e2=i^+2j^-2k^e3=2i^+j^+k^ To find: (a) the dual or reciprocal…

Q: 1. Estimate the volume of the following solids by Riemann sums m a) The solid lying below f(x, y) =…

A: What is Riemann Sum: Remember how, in single-variable calculus, we added the areas of rectangles…

Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

A:

Q: If p = Ae³9 + Beª, what would be the differential equation?

A:

Q: 2. The condition number of a nonsingular (nx n) matrix is the ratio between (a) its largest and…

A: We want to find true statement.

Q: Q2. Solve the following non-homogenous initial value problem. y" +4y' = 12e , y(0) = 5, y' (0) = -4

A: Sol:- y'' +4y' =12e-xA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: Consider the initial value problem y′′+y=f(t),y(0)=0,y′(0)=0 where f(t)=u0(t)+2n∑k=1(−1)kukπ(t).…

A: Given: The initial value problem is y''+y=ft with the condition y0=0 and y'0=0. Also, the given…

Q: 1. Estimate the volume of the following solids by Riemann sums b) The solid lying above the…

A: What is Riemann Sum: The area under the graph of a positive function on an interval can be…

Q: g(x) = ex + 1 0 2 e'e'g(t) dt

A:

Q: Suppose that p(t) is a differentiable function with $'(1) S kø(1) (k > 0) for 1 2 a. Multiply both…

A: Given: Suppose ϕ(t) is a differentiable function with ϕ'(t)≤kϕ(t) (k&gt;0) such that ddtϕ(t)e-kt≤0.…

Q: Sketch the direction fields for the differential equation y' = y − x = f (x, y), then sketch the…

A: What is Slope Field: Slope fields, also known as direction fields, are graphical depictions of the…

Q: Suppose ui ∈ R× for i = 1,...,k. Prove that the product u1u2 ···uk ∈ R×, and find its inverse (Hint:…

A:

Q: 1. Solve the initial value problem аху = 4х у (0)=5 dly dx т

A: Introduction: A formula in the form of y'=ky is known as a differential equation. The use of…

Q: Problem 4.2 2 Compute V F, VXF, V.(VxF), V(V.F), F = 4x²y²i+ (2x+2yz)j + (3z+y²)k

A:

Q: Find the natural parametrization of r(t) = 1²0₂ + 20y. What is this curve?

A:

Q: What is the estimated revenue of Amazon in 2077? ____________ billion US dollars.  Round to the…

A: Given: The below table is given: Year (x) Revenue (y) 2020 386.064 2019 280.522 2018…

Q: 1. Prove the following limits B) C) (x-1)4/3-(y-1)4/3 lim (x,y) (1,1) (x-1)2/3+(y-1)2/3 = 0 x²y+xy²…

A:

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A:

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: 2. A firefighter who weighs \(192\) lb slides down an infinitely long fire pole that exerts a…

A:

Q: Determine the Maclaurin Series of sinx. a. Values of ?(?)0 and its derivatives up to sixth…

A:

Q: 2) Obtain the DE with respect to x of (x - h)² = 4(y-k).

A: Sol

Q: Use the improved Euler formula (5) with step sizes of h = 0.025 and h = 0.01 to calculate…

A: Given :   dydt=1-t+4y     ,     y0=1    ,  h=0.025    , h=0.01 To Find : Solution of by Improved…

Q: 6. By using the power method, the smallest eigenvalue A of the nonsingular matrix B equal to…

A: Answer is 'False'.

Q: Apply six decimal place rounding where applicable.   The equation  f(x) = x^2 - 8 = 0 has a root…

A: Secant's method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations and…

Q: (2 2.) If f(x) = 2x 1 and p(x) cos (x). Find x, for 0≤x≤ 2π, if (f op)(x) = -2

A: Hi! Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: Use separation of variables to find any solution to the partial differential equation uxt=x²e4t

A:

Q: Jenny picked a large basket of apples. She gave 1/4 to Jerome and then gave 1/3 of the remaining…

A: here we are using trail and error method to find the solution if we consider option A  if jenny…

Q: The table shows the cost of a ski rental package for a given number of people People Cost ($) 4 5 6…

A: For the given problem the cost of ski rental service is given as (a). Since for given each row rate…

Q: 5. Show that another approximation for log n! for large n is log n!=nlog(n)-n by expanding the log…

A: We will use property of log  log(ab) = loga-logb to expand log (n!) and then convert it into…

Q: 2. If the edge of a cube is 1.75 m, then how many square centimeters are there in its entire…

A: Sol:- Edge of Cube = a = 1.75m Entire surface area = 6a2

Q: What is mean by Matrix? Define elements matrix?

A: Matrix:- A set of numbers arranged in rows and columns so as to form a rectangular array is called…

Q: In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t…

A: 11. Given,              x''+4x'+5x=10cos3t;    x(0)=x'(0)=0

Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

A: Here we need to list the numbers (in base 10) that are in the set F2, 2, -2, 2. Base 10 numbers: In…

Q: We form the intersection of two sets. We know that one of them has n elements and the other has m…

A: Given : A=n , B=m To Find : Cardinality of A∩B

Q: Find the minimum value of f(x, y, z) = 3x − y − 3z subject to x² + 2z² = 1 and x + y z = 0.

A:

Q: f(x) = x² - 2x and g(x) = In (x-1). Find x if (fog)(x) = 0 If f(x) = x) = √x, g(x) = x + 5 and…

A: As Per Bartleby Answering Guidelines We Solve only First One Problem Solution - 4 : Given that the…

Q: Retrieve Faraday's law in differential form from E = -VV ot

A: Consider the given equation, E=-∇V-∂A∂t So, it can be written as, E→+∂A→∂t=-∇V As we know that Curl…

Q: 7. A 3D transformation matrix is representing the scaling and rotation around Y axis. Find out the…

A: Hint: Any of the number of independent quantities required to express the values of all the variable…