4.1 James May builds a 1:20 scale model with LEGO® before constructing the life-size house. The model has a 16,2cm bedroom wall. Determine the length of the actual wall in meters.   4.2 The actual length of the of the North Western wall is 8,362m. Determine the length of the wall in the 1:20 scale model to the nearest mm.   4.3 Jemima  builds a sim

Q: 3. Find the equation of the parabola that opens downwards, has a vertex in the center of the ellipse…

A: Given equation of the ellipse is 27x2+y2+108x-10y+52=0…

Q: True/False: If the statement is false, justify why it is false. (d) If X + 2 is a factor of the…

A:

Q: 1. Writing 5 first terms of the sequence with general term as: n² 5n' Un = sin nл + n ≥ 1

A: Note:- “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Given the explicit formula, find the term below. an=-11+7n

A:

Q: If lim an 0 then n→∞ 00 1 n=1 2n3 Which of the following are guaranteed to diverge using the nth…

A:

Q: You are asked to choose between two projects A or B based on the highest gain (or the lowest loss).…

A:

Q: Using two rectangles, the estimate for the area under the curve is (Round to three decimal places as…

A: We have to find the area of the curve.

Q: Assume that a sequence of integrable functions (fn)n converges pointwise to an integrable function…

A: Please find the attached answer

Q: transcribe in digital format please

A: Solution: Let X be the random variable with geopthen we have to show that for any    n,m ≥0…

Q: You promise your niece that you will give her $2 on her first birthday and double that amount every…

A:

Q: What sum deposited today at 8​% compounded annually for 10 years will provide the same amount as…

A:

Q: Use Hermite polynomial that agrees with the data listed below to find the approximation of f(1.5) k…

A: Hermite Polynomial: The formula for the Hermite Polynomial is: H2n+1x=fz0+∑k=12n+1fz0, . . .…

Q: (2) ( → A) f(x, y) = x² y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show…

A:

Q: An airplane is flying at an elevation of 6.6 miles on a horizontal flight path that will take it…

A:

Q: Which of the following is NOT a differential equation? Select one: O dy dt = 3y = 2x²y + y² = 6 d²y…

A: A differential equation can be defined as an equation that relates one or more unknown functions and…

Q: Find the 5th term of the geometric sequence when a1=6,r=4

A: Given that, a1 = 6 r = 4 The 5th term of the geometric sequence is determined as shown below.

Q: For the series 2 + (-4) + 8 + (-16) + … a1 =  r =  The sum of the first 7 terms, S7, =

A:

Q: 4. SI. 1 2 3 4 X 0 1 2 Y 2.2 10.6 17.0 22.4 a. Use the nodes given above to set up a lagrange…

A:

Q: Eliminate the arbitrary constant(s) in the following equations: d. x²y - siny = Cx

A:

Q: The value of a diamond bracelet depreciates at a value of 20% per year (in other words, the value of…

A: To solve this problem, first we have to determine an equation that connects the actual value of the…

Q: Solve by the elimination method. 2x - y = 8 x+4y=31 Select the correct choice below and, if…

A: 2x - y = 8  . . . . . . (1)  x + 4y = 31 . . . . . . . . (2)  We multiply both sides of equation (2)…

Q: Task 1 using the definitions of limit and/or infinite limit show that if  limn→∞ sn = ∞,  then also…

A: If (s_n) is a sequence, then we write lim_n→∞ s_n = ∞ if ∀M >0, ∃N s.t. s_n > M ∀n ≥ N. Such…

Q: A city council consists of eight Democrats and seven Republicans. If a committee of four people is…

A:

Q: Find the interval of convergence for the power series representing ƒ' if f(x) = = interval notation.…

A:

Q: S = {HH, HT, TH, TT} of equally likely simple events. We are interested in the following events: E₁…

A:

Q: 7. Consider Bessel's differential equation of order zero given by 2d²f df +x + μ²x²f = 0, dr² da…

A: Please find the attached answer

Q: Given  ƒ(x)=  -4x-1/3x-2 Solve its inverse Determine the asymptotes Sketch the graph of its inverse…

A:

Q: Find the inverse, if it exists, for the given matrix. 4 Find the inverse. Select the correct choice…

A: Determinant is 7*7-4*3= 49-12= 37 , which is not equal to zero  Therefore the inverse exists.

Q: Find a basis of the subspace of R³ defined by the equation 2x1 + 3x2 + x3 = 0.

A:

Q: Let u(x, y) = x² - y² and v(x, y) = x³ - 3xy². Show that u and v are harmor functions but that their…

A:

Q: The first five terms of the sequence tn = 5(3/2)n-1 are:

A:

Q: -3/2 Calculate the integral of ƒ(x, y, z) = z(x² + y² + z²)¯ over the part of the ball x² + y² + z²…

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule and the Simpson's Rule to approximate the integral -4 -0…

A: Given : I=∫24-θcosθdθ , n=6 To find : (a) Integral value by using Trapezoidal.             : (b)…

Q: Solve the system by back substitution. -4x-8y-2z - 6w = -5 -5y-30z-10w = -40 - 5z-5w = - 10 - 5w=…

A:

Q: Let A = 0 5 8 - 3A + 2B = -9 Find -3A+2B. and B = -93 92 C...

A:

Q: u, respectively, and x, y and z are unit vectors along the bis

A:

Q: 2. 4y+12y+10y=16x-50 cos 2.x

A: Solution to the differential equation using short cut formula method.

Q: 52-4 OC. There is no solution. 7-7z There are (Type whole numbers.) z), where 2 is any 3. A theater…

A:

Q: If

A:

Q: 2. Describe and sketch the following sets in spherical coordinates: (a) {(p, y,0): p=3} (b) {(p,…

A: The given sets in spherical coordinates. a ρ, φ, θ: ρ=3b ρ, φ, θ: θ=π4c ρ, φ, θ: φ=3π4d ρ, φ, θ:…

Q: Let A = - 14 21 Find - 3A + 4B. -3A + 4B = and B = 24 69

A: Given that, A=-1421B=2469 The operation is performed as shown below.

Q: 4. Find the Laplace Transform of: f(x) = sin(2x) cos(2x). Show your solution for getting the…

A:

Q: • Let A = 1/2 ² 1. B-A 2. CB 3. B² 3 5, 2 4 6 4. BA 5. A² 6. 2C ,10 20. ¹30 40" 401, B = and c=15³5…

A:

Q: Q1) Verify that the following functions u is harmonic, and find a conjugate harmonic of function…

A:

Q: Suppose P contains only the r pivot columns of an m by n matrix. Explain why this m by r submatrix P…

A: Given : P contains on only r pivot column of m×n matrix. Explain : Submatrix P has rank r.

Q: Katrina, Tyrone, Larry, Maria, Eduardo, Simone, and Jim have all been invited to a dinner party.…

A: There are 7 people and all of them attend the party at different times   We need to understand that…

Q: solution is incorrect

A:

Q: Express the vector below as a sum of two vectors and ₂, where is parallel to the vector given below,…

A:

Q: Rewrite the given iterated integral using cylindrical coordinates. Do not evaluate the integral. LLI…

A: We need to use relation between cartesian and cylindrical co ordinate system x=r cosθ , y=r sinθ ,…

Q: In the number 467xy2 you are asked to find the values for x and y. You know that this number is…

A: