[(4- (4 – y)dx – (2 − y)dy, there - L L x = 2(t-sint), y = 2(1 - cost),0 ≤ t ≤2π. -

Q: Revenue R from the sale of x units of a product is found by multiplying the price by the number of…

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Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

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Q: colin has a past due rent of 14,498 his new rent is 1195 a month for the next year. if he breaks up…

A: Colin's previous due is 14,498. So, if he breaks up his past due balance equally for the next year,…

Q: Find the unit tangent vector of the given curve. 1. r(t) = (3 - 2t) i + (2t - 8) j + (3 + t) k 2.…

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Q: (a) Sketch the graph of the given function. { f(t) s f(t) 20 f(t): = 3, 0 ≤t <2 3e (-2), t22 (b)…

A: Given: Function, f(t)=3, 0≤t&lt;23 e-t-2, t≥2To find: a) Graph of the given function.…

Q: A dealer has 7600 pounds of peanuts, 5800 pounds of almonds, and 3000 pounds of cashews to be used…

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Q: What happens if you add a finite number of terms to a convergent series? A divergent series? What…

A: To Explain: What happens if a finite number of terms are added to a convergent series? What happens…

Q: Solve the initial value problem (D2-91)(f) = 0, f(0) = 1, f'(1) = 2.

A: Given: Initial value problem D2-9If=0 , f0=1 , f'1=2. To find: Solution of the given differential…

Q: For the four pairs of sets below, determine whether or not they are equipollent. i.) {2, 5, 10} and…

A: We have to find the equipollnt sets from the given pair of four sets.

Q: Find the solution of the given ODE a. 1-2/2 = Cx 2 b. 1 + ²)² = Cx c. 1 - * = Cx 2 1 + ( ² ) ² = cx…

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Q: Graph the feasible region. -x + y ≤ 0 X ≤ 6 y = -2 10 9 Clear

A: Answer given below.

Q: Give a geometric description of the following system of equations 2x + + 4y 6y Select Answer Select…

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Q: Prove that f ( x ) = x ⋅ | x | is continuous at all points c in ℝ.

A: f: ℝ→ℝ defined by fx=x·x

Q: X Z=1 R N -x=ln4 x = ln (t + 2), (e) Find the area of R. Consider a structure D with a curved solar…

A: The diagram of the structure is given by  The region R is bounded by the curves x=ln2, x=ln4, y=0…

Q: Marcel dives off of a springboard at the pool. His height, h, in metres, above the surface of the…

A: We have to solve given Questions.

Q: Explain why S is not a basis for R². S = {(3, 7), (1, 0), (0, 1)) OS is linearly dependent. OS does…

A: The given set S=3, 7, 1, 0, 0, 1. We have to check whether the set is linearly independent or…

Q: 6. y(y² + 1)dx + x(y²-1)dy = 0

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Q: For the function ƒ whose graph is given, determine the followinglimits. Write ∞ or -∞ where…

A: A graph of the function is given, and we have to find the given limit limx→0+fx.

Q: Let A = {3,4,5,6,9}, Now write down each of the following numbers. B = {2, 3, 7, 8, 9, 10}. (d) The…

A: The number of subsets of a set is given by the formula 2n , where n is the number of elements of A…

Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below…

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Q: Find the volume bounded by the graph of f(x, y) = x² + y2, the rectangle [-1, 1] × [-6, -5], and the…

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Q: How can a graphing calculator be used to find the minimum value ofa function?

A: To Do: Here we have to explain how to use a graphing calculator to find the minimum value of a…

Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 8, 3), (a) U-V= (b) 2(u + 3v) = (c) 2v - u = v =…

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Q: Find the Laplace transform of the given function: t 2 f(t) = L{f(t)} = (0, t²4t+8, s>0

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Q: The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving…

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Q: Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below f(t) =…

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Q: i. Show that if y(t) is a real function satisfying y = y, then cn = Cn for all integers n, where the…

A: For i) take conjugate both sides.For ii) multiply e^{-imωt} and then integrate .

Q: Prove that f(x) = x ⋅ |x| is continuous at all points c in ℝ.

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Q: Find an equation of a plane through the point (-3, -1, 1) which is parallel to the plane -5x - 3y +…

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Q: The matrix below is in echelon form. x y zu 0 0 1 0 6 0 0 0 1 0 0 0 0 0 0 Write the corresponding…

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Q: Consider the equation of a tractrix (a) Find dy/dx. (b) Let L be the tangent line to the tractrix at…

A: Given: Equation of a tractrix is y=asech-1xa-a2-x2 ,a&gt;0. To Find : a) dydx b) When L intersect…

Q: The delivery of an antibiotic through an intravenous line (IV) may be modeled by the differential dm…

A: The given differential equation is, dmdt=10-0.05m (a) To Find: The equilibrium solution when the…

Q: Determine the coordinates of the image point after a rotation of 20° about (0, 0) from the point…

A: Given information Point: 4, 0 Rotated about origin 0, 0 by an angle 20°. Then angle θ=20°. Find the…

Q: Find an equation of a plane containing the line r = (-3, −3,−5) + t(4, 4, -2) which is parallel to…

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Q: Solve. You will find a system with an infinite number of solutions, with no solution, or with a…

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Q: What is the purchase price on a car that has a $318 monthly payment for 4 years, financed at 5% per…

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Q: 6. Create a table of values for each relation with a minimum of 4 points. Graph each pair of…

A: The graph is defined as the pictorial or diagrammatic representation of the given function or the…

Q: Given the vectors u = (-2,2,3), v = (-2, 1, 2), find a unit vector perpendicular to both u and v.…

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Q: In my safe is a sheet of paper with two shapes drawn on it in colored crayon. One is a square, and…

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Q: Find an explicit solution for y' = ye^−x/2 , y(0) = 1. (It is alright to leave a definite integral…

A: Given: A differential equation y'=ye-x/2 , y0=1 To Find: An explicit solution of the given…

Q: Find matrices A, X and B so that the given system of equations can be written as AX = B. 7x + 4y6z =…

A: The given system of equation 7x+4y-6z=5. We have to write the system in the form AX=B.

Q: 1. Let S be a nonempty set of real numbers and let a E R. Prove that a = sup S if and only if for…

A: Note: “Since you have posted multiple questions, we will provide the solutiononly to the Q. 1 (as…

Q: Find the supremum of each of the following sets. (If the supremum is infinite, enter the word…

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Q: Derive the terms up to and including 5 of the Maclaurin series for f(x) = cos 2x - sinx.

A: To find the Maclaurin series expansion of a function about x=0 as Maclaurin series is actually the…

Q: of 6 c) Consider the curve below which shows the graph of a function f(x). 3 2 1 0 i. -f(x), ii.…

A: The graph of the function fx is given by  The graph of -fx is the reflection of the graph of fx…

Q: Q1 A control system is described by the block diagram in Figure 1 where R(s) is reference input and…

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Q: Let (n)1 be a sequence of real numbers such that n - m≥ 1/2 for all n, m € N with n #m. Show that…

A: Note: We will be solving Q.6 as asked. Given that xnn=1∞ be a sequence of real numbers such that…

Q: dx Evaluate S-AJAN-XN where A>0 and N>0

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Q: Use the fact that matrices A and B are row-equivalent. 121 0 0 251 10 372 2-2 493-2 6 10 30-4 01-10…

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