Hello, can you please answer the following problem and show all your work. Thank you.

Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

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Q: (a) Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +…

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Q: Find the Fourier Transform for the following periodic function defined in one period; f(t) = {el if…

A: The given problem is to find the Fourier transform of the given periodic function f(t).

Q: An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius…

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Q: Consider the dynamical system V-1AV where 01 Vo and A- 15 2 Find a formula in terms of k for the…

A: The given dynamic system is Vk+1=AVk, where: V0=45 and A=01152. Since Vk+1=AVk, therefore:…

Q: Let f : A →B be a function. Prove that f has a right inverse if and only if f is surjective.

A: We have to prove two sides.

Q: Use Venn diagrams to illustrate the following identity for subsets A and B of S. (AUB)' = A' B' De…

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Q: 9. Let A = 2 1 4 3 are undefined: a) 2A + B 05 [35] 1 B = 7 and C= 123 456 c) Explain why the…

A: Here we have to perform given operation on matrices and if undefined then we have to give reason for…

Q: Solve the system of equations and inequalities below simultaneously using graphical methods only. Y…

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Q: 3. Minimize the costs for a firm faced with the cost function C=3x² + 2xy +5y² +500 subject to the…

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Q: (5) Test the following differential equation to determine if it is exact. e2x dy + 2ye2x dx - dy = 0

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Q: f(x) = sin x In x

A: A) For a function fx, the first and second derivatives at a point x=a are zero, we have to find the…

Q: 3. Let R be the region bounded by the graphs of 2 3)² +y² C₁: X - (0, 0) 9 ²-20 = 4 C₁ and C₂ y = 1…

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Q: Find an equation of the plane. The plane that passes through the point (1, -1, 1) and contains the…

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Q: The given graph shows the temperature Tin °F at a city between 6 A.M. and 6 PM. 80 70- 60- 50- 40+ 0…

A: The answers of the given question are determined as shown in the next steps.

Q: details] [Justify all your answers in Let W be the set of all vectors 2a + b b - 2a -2a + 3b C in…

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Q: Evaluate the surface integral. 116x² S is the part of the sphere x² + y² + z² = 36 that lies inside…

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Q: a) Find an orthonormal basis of 3 [] 3} 8 W = span{ b) Find the projection onto W of the vector 1 B…

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Q: Problem 2. Consider the curve y=C+D2', for which we would like to find the best least squares fit to…

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Q: i) [² (2² − 4) sin* (xx)dx, (ii) 1) *2+ cos z³dr, (iii) * sin ¹00 100 rdr, iv) ["* (3 – sin z)³ dr,…

A: We determine, which of the integral have largest or smallest value.

Q: Find the sum of the finite geometric sequence whose first term is 0.4, whose ratio is 0.5, and which…

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Q: What is the solution to the equation shown below?

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Q: Use the Gauss-Jordan method to solve the following system of equations. 5x + 4y z = 0 2xy + 4z = 1…

A: We have to solve the given system.

Q: 1. Consider the region bounded by y = e-* + 1, y = 2 and x = 3. a. Sketch the region. Do not forget…

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Q: olve the differential equation (D²-4)y=e^2x -4

A: (D²-4)y=e2x-4

Q: Construct the truth table for the compound statement (q^~p) ^ ~r.

A: For given statement we have to find truth table.

Q: Use a direct proof to prove the following: Prove: Q Premises: P⇒Q, P⇒S, -S

A: We use the rules of inference to prove the given argument.

Q: Use Green's Theorem to find the flux of the vector field F(x, y) = (x + y, −x² − y²), where is the…

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Q: Show that the shortest distance between the principal normal at con 1/2 secutive points distance s…

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Q: 14. For each of the sequences given below 1) Write out the first 4 terms of the sequence. 2)State…

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Q: Find the particular (non-homogeneous) solution to the equation: d²y dx² - 3 dy dx + 2y = 4x²5

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Q: Problem 2 Given: F(s) to f(t) F(s) = 565² +1125 + 5000 s(5²+145 +625) 2 Determine: a) Use Partial…

A: The given Laplace function Fs=56s2+112s+5000ss2+14s+625. Our aim is to find the inverse Laplace…

Q: Sketch E and evaluate fff 4z dV, where E lies between the hemispheres E x² + y² + z² = 1 and x² + y²…

A: we have  to sketch E and evaluate  ∫∫∫E4zdV where E lies between the hemispheres  x2+y2+z2=1 and…

Q: Given z¹-z-12 2z+10 . apply your understanding of rational functions to sketch the graph of √f(x).…

A: The given function fx=x2-x-122x+10. We have to sketch the graph of the function fx.

Q: Let f : X → Y and g: Y→ Z. Let h = gof: X→ Z. Suppose g is one-to-one and onto. Which of the…

A: (a) if f is not one-to-one, then there exist x, y ∈ X such that           f(x) = f(y)        => g…

Q: (You may use geogebra to graph) 1. A manufacturer produces bicycles and motorcycles, each of which…

A: Solve by graphical method.

Q: Find the area of region enclosed by x = t-t², y = t-t¹, 0≤ t ≤ 1 using Green's Theorem. Question…

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Q: Determine if h(x, y) e* sinyī + e*cosyj is a gradient vector. If so, find f(xy) so that Vf=h(x, y).…

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Q: The set of vectors that form a basis are Linearly Dependent Linearly Independent Inconsistent…

A: DEFINATION OF A BASIS-: A SET OF VECTORS v1,v2,v3,..........vn IN A VECTOR SPACE V IS SAID TO BE…

Q: Find a, b, and n in the expansion of (a + b)" if the first three terms of the expansion are 729,…

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Q: An insurance company sells an insurance policy to individuals for $1,000 per year. If the person…

A: The cost of the insurance policy per year is $1000. Out of 1000 policy 1 of the policy holder dies…

Q: What is the minimum number of colors required to color each vertex the graph below so that no two…

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Q: What is the nominal annual rate of interest compounded monthly at which $1248.00 will accumulate to…

A: Use compound interest calculation formula to solve the question.  In this formula, A is amount after…

Q: X xp x soɔ x [x³ 3

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Q: 2. 3. Consider the region bounded by y=ln(x-1), y=2-x and x = 4 (see the figure on the right). a.…

A: Suppose on the interval a,b, a region is bounded between the curves fx and gx where suppose fx≥gx.…

Q: Consider the system of equations shown below. X- 4y = 3x 12y = -2x + 8y = 11 33 -22 (a) Determine…

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Q: Find the remainder term R, in the nth order Taylor polynomial centered at a for the given function.…

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Q: Let S be the triangular surface in R³ with vertices at (4, 0, 0), (0, 2, 0) and (0, 0, 8), that is…

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Q: 4. Find any relative maximum, minimum, or saddle points for the function, reporting the point(s) as…

A: The given problem is to find the relative extrema and saddle points of the given function…

Q: In a hybrid Conference, there are 81 attendees onsite and 78 attendees onlive via zoom. A raffle was…

A: We have given that,    Onsite attendance = 81    Online attendance = 78 We have to find that : How…