5) y>10 (3v-1) (1+5w)

Q: 1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the me...

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Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: dations. 1. sinx siny dx + cosx cosy dy = 0

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

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Q: 3. Solve this third-order ODE by using the method of undetermined co- efficients: y" – y = exp x . -...

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Q: 2. Let r>o and Fo tina20 And use polar coordinates KZQ and use polar coordiinates (8,7) >(0,0)

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Q: Prove the following: sin² 0 – cos² 0 = 1– 2cos² 0 %3D

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: Determine whether the seovence converges er diverges.Rconverges, nd the me the sequence diverges, en...

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Q: 4. Check if the following is a separable equation. = xy + y dx O variable separable O not variable s...

A: Take y common from the right hand side.

Q: Use integrals to find the area of the region enclosed by the quadrilateral with vertices at (0,1), (...

A: Question-  Use integrals to find the area of the region enclosed by the quadrilateral with vertices ...

Q: iven the points A (-7, -2), B (5, -2), and C (0, 8), determine the area of the shape ABC. The area o...

A: Given problem:- Given the points A (-7, -2), B (5,-2), and C (0, 8), determine the area of the shape...

Q: c notation and fractions where needed.)

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Q: 2. For the following complex numbers; peform the indicated operations. Expressresultsin rectangular ...

A: Given:  za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2...

Q: What is the formula to find the rate of change of the diagonal? (Partial Derivatives) Note: Please ...

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Q: 1. Зх е* dx In x dx 2 2.

A: To evaluate the following integrals.1 ∫3x e-x dx2 ∫ln xx2 dx  

Q: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions des...

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Q: Find the arclength of y 3x + 4 on 0 < x < 1

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Q: the line satisfying the given conditions. If possible, also indicate the symmetric equations. line ...

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Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: R = {y^2=x-1, x=5}   Can you help me answer this, its about area in calculus. That's the only give...

A: Explained below 

Q: Q2: Find the solution of the following Differential Equations 1. dx2 d²y dy – 6y = 0 - - dx 2. y" + ...

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Q: Given f(x) has the Taylor series: Σ 2 (x – 2)" 3.3n (2n)! n=0

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0, 0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation! %...

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Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: 7.) f (x)> (3x+2)(5x-2)

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The f...

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Q: 1 dx V1 –x²

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Q: on: Solve the equation:

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Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the inte...

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple questi...

Q: 2 2 V 4 +x-

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Q: бх + 7 3. (x+2)

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -3i + 8j - k v = 3i + j - k O pa...

A: Two vectors u and v are orthogonal if and only if u.v =0 .

Q: Given the equation y = cos(coshx)

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Q: 37. The sales of a certain merchandising company are on their bestselling item is being represented ...

A: Let's find. 

Q: e3x dx 1+ e2x A tan-lex + C C e*-tan-le* + C e* + tan-le* + C D-tan-'ex +C A E None of the Above B

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Q: 4 -5-4 -3 -2 -3 2.

A: From graph  as x approaches to - 2 from the left side f(x) approaches to +∞

Q: For the function f(x) = 3x* - 2x -2x +7, find f"(x). Then find f"(0) and f'"(6). %3D E"(x) =D Select...

A: We can answer the questions as below.

Q: Use differentiation to show that Sec'x + Csc¯'æ = for any a> 1.

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Q: 1. Find the general solution of the differential equation: d°y d'y dy , dy - - dx6 dæ3 dx2

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Q: L is a line in 2-space or 3-space that passes through the points A ano B, then the distance from a p...

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Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

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Q: Which of the following sets of vectors in RS are linearly dependent? Note. Mark all your choices. O ...

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