What is the volume of this rectangular pyramid? 5ft 3 ft 4 ft cubic feet

Q: Determine the equivalent effective interest rate of the 20% nominal interest compounding ona monthly…

A: Given, Nominal interest rate( i )=20% =0.2 n=12 ( i.e. monthly compounded in a year means 12…

Q: 5. V4(9t-5)'+1

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: The area in square feet of a certain rectangular pen is given by the formula A = 14w- w, where w…

A: Given : The area of a rectangular pen is given by ;  A = 14w-w2 ,  where w is the width. To find :…

Q: ÿ + 6ỷ + 9y = 0 dy + 2y = e- dx 4 d²y + y = 0 dx²

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Q: So(by² i + x }) · dř =

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Q: Solve by theorems of linearity and translation. f(t) = cos t + sin t

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Q: Find the equation of the line tangent to the graph of y tan (sina) when z= v2/2.

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Q: Students at Blake's high school must have a B average in order to participate in sports. Blake has a…

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Q: Problem 1: The joint probability mass function of X and Y, p(x,y), is given by: p(1, 1) = 1 9 p(2,…

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Q: A joint density function is given by 2 for 0<x <2 and 0 <y<1 f(x, y) = otherwise. Find the…

A: Given joint density function is f(x,y) = 38x2for0≤x≤2 and 0≤y≤10,otherwise

Q: Let x and y be the real numbers and P(x,y) denotes = 1. Find the truth values of: 1. VVy P(x, y) 2.…

A: Given, x,y are real numbers P(x,y) denotes xy=1 To find: Truth values of - 1) ∀x∀y Px,y2)∀x∃y…

Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

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Q: A car loan with a face value of Php1,300,000.00 has to be purchasedwith a downpayment so that a…

A: Given that Face value of car is Php 1300000.00 Monthly payment is Php 1500.00 Time t=5 years=60…

Q: Find the shaded region in the graph. The area of the shaded region is (Simplify your answer,…

A: We know the formula of the region is ∬Rdxdy ,here R=0≤x≤π3;1+cosx≤y≤2

Q: What is the z-transform of h(n) = ō(n) - 25(n – 1) + õ(n – 2). z- 2+z1 b. 1- 2z1 + 2z2 1- 2z1 + z?…

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Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at 5. f(x) = 4 In(a - 4) + 1

A: We find the fourth degree Taylor polynomial T4(x), for f(x)= 4ln(x-4) at x=5.

Q: Determine the z-transform of the following sequences using the z-transform table and the z-transform…

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Q: True/false: Suppose f(r, y) and g(x, y) are continuous functions and f(x, y) > g(x,y) for all x, y…

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Q: Consider the initial value problem y(2) = 5. Using the Duler's method we have Select one On-5+18h O…

A: For 1st one. The given differential equation is…

Q: Q1. Solve the following linear system using Gauss elimination method: 3x + 9y +3z = 3 a + 3y +3z = 2…

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Q: rection field for the differential equation y - 4x sin(y) is shown. -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5…

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Q: How many ways can you arrange the letters in the word Toronto if you must begin with a T and end in…

A: Given Toronto We have to find number of ways for arranging letter.

Q: a) Find the degree 3 Taylor polynomial T3 (x) for the function f (a) = 4 In() centered at the point…

A: To find the Taylor polynomial of degree 3 for f centred at a=2.

Q: I'm ready to ransack countries along my #1 seal Unless you can do math in 3D you won't catch mel On…

A: Concept: Two figures are congurent when they are exact replica. Whereas two figures are similar when…

Q: s+3 3.) f(s) = (s²+6s+10)2

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Q: 10. Let ø: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv/2. Show that is a Q-linear field…

A: Given :  ϕ : ℚ(2)→ ℚ(2)  be a map defined by ;  ϕ(a+b2) = a-b2. To prove :  ϕ is a ℚ-linear field…

Q: Advanced Math Question

A: Given:

Q: Use the method of false position to find the fourth root of 32 correct to three decimal places

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Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: Problem 1: Suppose that r (t) is a differentiable vector-valued function and the curve in the…

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Q: Time, t (min) 4 8 12 16 20 28 Concentration, C (mg/L) 2.5 3.2 3.4 3.5 3.3 0.3 Data in the table for…

A: Below is the solution for this optimization problem. Here we use the differentiation method to solve…

Q: 3.17 Let A be a subset of R, and let f be a bounded function with domain A. Show that, if BC A, then…

A: Given that A,B are subsets of ℝ andB⊂A. As f is a bounded function in A and B⊂A then fB≤fA

Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f(x) = In(x + 1)…

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Q: The z-transform of y(n) is Y(z) = 2z2 + z + 1 + 2z-1 + 3z2, Izl + 0. Find the sequence (½)"y(n – 2).…

A: Given, y(n)→Y(z)⇒Y(z)=2z2+z+1+2z-1+3z-2To find: Sequence of12ny(n-2) i.e. z-transform

Q: Consider the set Y = [-1, 1] as a subspace of R. Which of the following sets are open in Y? Which…

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Q: For some of the most interesting laws of modular arithmetic (Choose some of your liking, but do…

A: This is a problem of mudular arithmatic.

Q: Find an equation of the sphere satisfying the given conditions. a. It is concentric with the sphere…

A: Under those conditions no sphere is possible. Find the details below.

Q: Show that the dictionary order topology on the set R × R is the same as the product topology Rd × R,…

A: A basis for the product topology on ℝd×ℝ is B=x×(y1,y2)|x,y1,y2∈ℝ, y1&lt;y2 These are just products…

Q: A company manufactures two types of cloth, using three different colours of wool. One yard length of…

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Q: A tank that is 5 feet deep, with a square bottom with sides 4 feet each, has 2 feet of water that…

A: Given: Height of the tank= 5 feet The base length of the tank =4 feet Height of water in the tank =2…

Q: A company has three factories. Each factory produces three different products (A, Band C). Factory 1…

A: 1st we will make a Linear program with given data and then make simplex tableau  using them

Q: 1. Determine the graph of the given equation. a. x2 + y? + z2 – 8x + 4y + 2z– 4 = 0 b. x2 + y2 + z2…

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Q: Theorem 85 Let a be a positive real number. For all real numbers and y, 1. 1리 < a → 2. Jay| = |x|…

A: Let a  be a positive real number To prove 1) |x| &lt; a⇔                  2) |xy|= |x| |y|…

Q: Using FPI, find a critical point of the function: f(x) = x? – 2e* cos x With an initial guess, x, =…

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Q: Bernoulli Equation (11) (x²y* – 1)ax + x³y³dy = 0 (12) x2 + 2xy dx

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Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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Q: Find the maximum and minimum values of the function f(x, y, z) = x²y z? subject to the constraint x²…

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Q: curve generated by the parametric equations. Indicate with an arrow the direction in which the curve…

A: Given that x=2+√t, y = t²-4t, 0≤t≤5 We have to draw graph

Q: se Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming that…

A: Given: f(x,y,z) = xyz and x+y+z = 28 , x-y+z =4