- Show that the area of the triangle whose vertices are the [x1 yi det X2 Y2 A - points (x₁, y₁), (x2, Y2) & (X3, Y3) is A = X₂ V3 1

Q: Use the given graph to estimate the value of each derivative. ya y = f(x) 0 1 (a) f'(0) 1 (b) f'(1)…

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Q: Find the Laplace transform of 1. f(t) = ½ [1 − u₂π(t)](2 sin t — sin 2t)

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Q: Q1. a) In the context of robot trajectories, state the difference between linear cartesian…

A: Joint interpolation: Joint interpolation motion is the dominant type of joint motion when moving the…

Q: lim x-+∞ [5x+2]] X

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Q: 1.) Let G₁ = £1₁ 1₁ i -i) be group of 4 Complex numbers under mutiplication. a) is £1, i} a subgroup…

A: Given group under multiplicationG = 1, -1,  i , -i  A subset H of G will be subgroup of G if H…

Q: Using a decomposition model, we find the following relationship for trend and quarterly seasonality…

A: Answer : The forecasted demand for the second quarter of the fifth year is 49.32. 1. t = 2 for…

Q: Find the volume of a right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

A: Given A right pyramid that has a square base in the xy plane      -1<=x <=1 -1<=y <=1…

Q: H.w: Find the Fourier series for the following functions: 2x 1+ –π < x < 0 1- f(x) = 1- - 0 < x < π…

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Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

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Q: .8 Testing lightbulbs The stock of a warehouse consists of boxes of high, medium and low quality…

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Q: Find all possible values of a e and Iz+2a-(a + 1)i> 3 simult

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Q: Caitlyn sells her drawings at the county fair. She has portraits and landscapes and she is required…

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Q: calculate the volume of G where G is bounded by 2= x² + y²₁ ²²+ y² = 4, 200 SS f d v

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Q: Suppose f: A B and g: BC are functions, show that a) If both f and g are one-to-one, then go f is…

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Q: Compute the following Laplace transforms: Problem 12 (a) L{3t4 + 4t² - 6t+8} (b) L{4e-3t-sin 5t)}…

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Q: Find the sum S of the following series (C, denotes "C,): S=C₁-C₂24+ C₂, C₂ C₂ 3 4 **+ (-1)"+1 C₂ n

A: Introduction: The harmonic series is an infinite series generated by adding all positive unit…

Q: What is the value of k such that the lines 3x + 6ky-7 and 9kx + 8y=15 will have the same positive…

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Q: Use Laplace transform to solve the partial differential equation: d'y dy ox² ôt -+xt where y(x,0) =…

A: Introduction: Like other transforms, the Laplace transform converts one signal into another using a…

Q: Before the election, you want to determine the number of possible president/vice-president…

A: Solution

Q: Consider the four statements (a) 3r ER Vy ER (b) Vr € R y R (c) Vr ER Vy ER 3r ER Vy ER (d) 1. Are…

A: First we will tell the meaning of the symbols used in the given statements. The symbol ∃ is used for…

Q: Find the mass of a plate bounded by arch of the curve y = sin x, and the x-axis, if the density…

A: Solution :-

Q: 2) 2x2 csc(x) dy dx

A: The solution is given as

Q: 2. The personnel department of a particular company has observed that 20% of the people the company…

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Q: The demand function for an entrepreneur's product is given by p = q² - 5q + 119970 and the average…

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Q: A homeowner wants to install a new marble countertop on their kitchen island. They take measurements…

A: The cuboidal island has the dimension l=2 ft, w=3.5 ft, h=4 ft.

Q: Give an example of a non-planar graph that is not contractible to K5or K3,3.

A: Solution :-

Q: If f(x) is a polynomial of degree <3, f(a) a x-a

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Q: If Ø (z)= y + ja represents the complex potential for an electric field and a =p² + ;+ (x+y)(x−y)…

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Q: Let f(x, y, z) = g (x² + y² + z²) where 2 9 is some nonnegative function of one variable such that…

A: If S is a surface given by parametric form r→ u,v =x u,vi^+y u,vj^+zu,vk^…

Q: Calculate 2 -3] -1 2022

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Q: Consider the vector field Ĥ(x, y, z) = (y², x, z²). Let S3 be the portion of the paraboloid 2 = x² +…

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Q: Use Laplace transform to solve the partial differential equation: o'y dy ox² at +xl where y(x,0) =…

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Q: Recall, you own 9 regular ties and 7 bow ties. You realize that it would be okay to wear more than…

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Q: NEED ASAP!! Find a root greater than zero of f(x)=e^x−2x−5 using the Fixed-Point Iteration Method…

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Q: A store manager obtained a loan of $35,000, at  6 3 8%  interest, for 14 months to purchase…

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Q: Write 843 in scientific notation

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Q: Which are true?

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Q: b) False Position Method and Secant Method (another person will answer) f(x) = 3x² – 2x - 4 Note: 1)…

A: False position method: In this method we choose two points x0 and x1 such that fx0 and fx1 are of…

Q: Iff(x, y) = log (x² + y²), then f +f, is equal to yy 1 (a) x² + y² 2 (b) 0 2 1² - x² (c) (d) (x² +…

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Q: ☐ In Exercises 11 to 14, use the greedy algorithm to find a Hamiltonian circuit starting at vertex A…

A: Using the greedy algorithm to find a Hamiltonian circuit starting at vertex A. Step 1: After…

Q: 7. Given f(x) = 6x²+2x-5 and g(x) = 6x²+3x+1. Evaluate (f-g) x.

A: Here given that                           f(x)=6x2+2x-5                 and   g(x)=6x2+3x+1 We have…

Q: c) Factorise the following expression 25a³b²+10a²b³-15ab

A: We need to factorize the expression 25a3b2+10a2b3-15ab

Q: 1. Show, by drawing, that the following graphs are planar: (11) the graph of the octahedron.

A: Solution :-

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 11. D B C B 10 с E F A D E F…

A: The given two graphs are equivalent.

Q: A cubic equation f(x) = 0 has one real root a and two a, ß+iy and B-iy respectively on the Argand…

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Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

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Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: Let f, g be two functions defined from R into R. Translate using quantifiers the following…

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Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

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