Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective from a line and from a point.

Q: True or False. Justify your answer. Since we have sin(a+y)= sin(z) + sin(y), the function sin(r) is…

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Q: sth obs. + 6 th Argsange the given data in Ascend ina oodel ; 2 = 2, 86 86, 89, 87, 88, 90, 94, 9S,…

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Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t…

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Q: The vibrations of an elastic string of length / are governed by the one-dimensional wave equation…

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Q: Is -3 a multiplicative inverse of 17 mod 26? Show all workings.

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Q: (b) In a simulation, an opponent's ship is positioned 32 cm away horizontally. Explain why the test…

A: Introduction: A quadratic function is expressed as y=ax2+bx+c Here, a,b,c are constants with a≠0.…

Q: 5. Choosing 2 letters from the word GREEN. Write the sample space.

A: The word GREEN  has 4 distinct letter.    (with no repetition of letter) .

Q: Use the sinking fund formula to determine the payment needed to reach the accumulated amount. To…

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Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

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Q: Find a power series representation for the function and radius of convergence

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Q: Q2: Use trig substitution to find 2 + 4z +5 dr Q3: Use integration by parts (Tabular method) to find…

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

Q: Given: If A AND B, then C. Given: The if-then statement's reverse isalso correct. If A is True, B is…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Suppose that B and C are ordered bases of R. Find the conversion matrix from B to C.

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Q: A. Evaluate the following integrals. dx 1. 5+x²

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Q: [6] If A = |1 1 and b = |0 Lol 11 2. a. Find î. b. Find the projection of b onto the column space of…

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Q: The equilibrium equations of the blocks in the spring-block system are 3(x2 – x1) – 2x1 = -80 3(x3 –…

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Q: Question 2*. Prove, using mathematical induction, that 1 1 1 1 n +... + 1 3 3 5 7 (2n – 1)(2n + 1)…

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Q: Prove that the Y,o spherical harmonic is an eigenfunction of the A2 (Legendrian) operator by…

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Q: For what value of a is the function  fa(x,y)=(3x+ay)e":"\(f_a(x,y)=(3x+ay)e^(x-y) a solution of the…

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Q: Find the polar coordinates for the point whose rectangular coordinates are (-6, -8). Given the polar…

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Q: 3. Let f(r) = 1+x + x² + x³ + x* + x°. (a) definition of Taylor polynomials. Find T3(x), the Taylor…

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

Q: Find the solution the initial value problem x' 1 -13 |x, 1 -3 () x(0) = x = Describe the behavior of…

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Q: many ways may 5 students be seated in a row for a pictorial? 21. How of 5 chairs

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Q: Use the sinking fund formula shown to the right to determine the monthly payment needed to…

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Q: -3 -3 x' х. -k -3 || 3 (a) Solve the system for k= What are the eigenvalues of the 2° coeifficient…

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Q: 2. Find the volume of the solid obtained by rotating the region bounded by the curves y = x² and x =…

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Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: A plate in the shape of an isosceles triangle with base 1 m and height 2 m is submerged vertically…

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Q: A company operates No oil wells in adesignated Each pump, on averogeg 240 barrels of oiT daily. The…

A: Given that a company operates 16 oil wells in a designated area and each pump on average extracts…

Q: Find the values of w, x, y and z in fraction form using Gauss Elimination or Gauss-lordan…

A: Given system is  12w -5x + 9z - 2y = 5   15x + 4z + 2y = 3   15z-6w-8x+10y = 10   w + 5x + 2z = 1.…

Q: Hnd the area of the shaded figure. 2. 3. 1. Find the area of the figure. 4. 5. 6. 10

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A: Evaluate the indefinite integral as a power series. What is the radius of convergence?

Q: Given the 3-dimensional vectors: A = (xy)i + (2yz)j +(3xz)k B = (yz)i + (2xz)j +(3xy)k Determine the…

A: Here given vectors as A=xyi+2yzj+3xzkB=yzi+2xzj+3xyk

Q: 1. How many combinations are there to pick r objects from 2n objects numbered from 1 to 2n with n >…

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Q: Question 4*. Prove, using mathematical induction, that (n(n + 1))? 13 + 23 + 33 + +n³ = for all…

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Q: Make your own symbolic statement that construct a truth table for it Example: p^[~(p↔q)]

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Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

A: We have to find the number of two digit numbers.

Q: In Problems 15-28 find the general solution of the given higher-order differential equation. d³x 20.…

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Q: Suppose the function f is defined on a measurable set E and has the property that {x ∈ E | f(x) > c}…

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Q: You are to design a spherical tank to hold water. The volume of the liquid it can hold can be…

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: Consider the following IVP: y-y = 4cost y(0) = 0, y'(0) = 1 Find the general solution. A y(t) =…

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Q: Use Euclid's Algorithm to find a multiplicative inverse of 23 mod 75. Once found, solve the linear…

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Q: find a homogeneous linear system of two equations in three unknowns whose equation in three unknowns…

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Q: A syringe driver is designed to contain 5ml of injection and has a length of 60mm. Injection Y…

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Q: Illustration 25.2: Minimize U= 2x, + 4x, Subject to 4x, + 2x, > 12 3x, + 5x, > 15 5x, + 4x, > 20 X1…

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