f(t) = et+1 cos t. f(t) = eat43/2_ f(t) = eat cos 3t.

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Q: Consider the function if g(x) = if 2. if x>0. And study its continuity at x=0

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Q: A volume is described as follows: 1. the base is the region bounded by y = - a² + 12x – 14 and y =…

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Q: Let T: R? R² be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps v =…

A: To find the value of the given linear transformations .

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Q: (-1)"x2n (2n)! COS X = for all x E R. n=0 1. Let f(x) = cos(/x). Determine the power series…

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Q: Dete‎rmine if f (x, y) = ={(xsi‎n3y)/(x‎2+y6), (x, ‎y) ≠ (0, ‎0) ={1, (x, y) = (0, 0) is‎…

A: We will check limit along different paths. If limit along Every path is Same as value of function…

Q: Integrate the fallowing funlin aver the given regioa R: the circle x+y R: and

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Q: Q5) Find volume of body bounded by z =x-y from below and z = x + y from Above inside y = x²,y = 2.

A: Volume bounded by the region

Q: (a) If an 2 0 for all n E N, then an does not converge conditionally. n=1 (b) If the power series >…

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Q: Find the third degree Maclaurin polynomial for f(x) = cot-(x) and use this to approximate cot-(-1).…

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Q: Consider the following linear maps T : R² → Rª and S : Rª – M(2,R) defined as follows: 2x + 3y T(…

A: The solution is below.

Q: Refer to the System of Linear Equations below. 4x1- X2- X3 = 3 -2x +6x2 +x3=9 X1 +X2 +7xg = -6 Using…

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Q: The shaded area of figure is besc described by O A (Complement of A) O AUB' O ANB' B Nane from the…

A: 1. From figure we can see the shaded region is part of A which is not contained in B. Hence Answer:…

Q: Please

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Q: If C is the circle |z|=4 evaluate Sf(z)dz for each of the following functions using residue. (a)f(2)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Question 9 Let u(x, y) be the solution of the partial differential equation —и, —и+ уu,. х>0, у> 0,…

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Q: - yn

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Q: Given: 3z = xy Find f ху/3 O y/3 O x/3 O None of the choices

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Q: |T 4. Sketch on the axes below [1K]. Replace the with a value that will put the terminal arm in 8…

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Q: Question 2, Let x(t) be a differentiable function defined on (-1,0) satisfying the following…

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Q: IV. Determine if the given is convergent or divergent. dx (x² + 1)² 1.

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Q: Q5) Find volume of body bounded by z =x-y from below and z x + y from Above inside y = x y 2.

A: Volume bounded the region

Q: Evaluate the Inverse Laplace Transform 2 s+s+ 3 F(s)=

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Q: 5. a) Compute the change of basis matrix from B = to &z in R². b) Given an explicit formula for a…

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Q: Determine whether the following series converge or diverge. (5 – 4(ln n)³)" (V3 . In n)3n 4+ cos? n…

A: Given series are ∑n=1∞4+cos2n3n-n3∑n=1∞5-4lnn3n33·lnn3n

Q: Let y_1(x) = sinx particular solution of the differential equation y" + a,y + a,y = F(x) and y,( e*,…

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Q: Determine whether the alternating series £ (-1)n+1, n3 converges or diverges. n= 1

A: Given alternating series is  ∑n=1∞-1n+13nn3

Q: Determine the radius and interval of convergence of the given power series.

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Q: Find the distance between the skew lines: I = 9+9t, y = 2+5t, z = 3-7t x=6-t, y = 9, z = 6+6t NOTE:…

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Q: j the hwer trianguler methad Using the upper friomguler methind ns the upper frionguler mefhud

A: We have to solve the given augmented matrix using lower triangular method and upper triangular…

Q: (-1)"3"- n

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Q: Given: 00 5(-3)"(x – 2)" Vn + 2 n=0 Use Limit Comparison Test to show that the series diverges when…

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Q: Find p2 +9 rdr 3 2/2- 27 (2V2 - 27) Option 1 Option 2 Option 3 O None of the choices

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Q: Use the algorithm for finding A to find the inverses of the matrices shown to the right. Let A be…

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Q: Use polar coordinates to evaluate sin (a² + y²)* dA, R where R is the region enclosed by the curves…

A: Here if we put limits in order dr dθ, then the given integral can not b evaluated so we need to put…

Q: Consider the following linear map T: P3 → P3 defined as follows: T(ao + a1r + aza² + azx³) = ao +…

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Q: TICE ANOTHER Use left and right endpoints and the given number of rectangles to find two…

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Q: R: is the triangle cut from the first Fuadrant by the line R: y24x-x and y=X

A: We have to find the integral over given region.

Q: Is the series given below is convergent or divergent?

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Q: Show that given any particular real number, such as I, there is NO next real number immediately…

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Q: Determine if it converges or diverges

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Q: Eva‎luate the ite‎rated do‎uble integr‎al ∫ 3−1 ∫ 0√(3−y) e12x−x^3 dx dy by chan‎ging the or‎der of…

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Q: (1 – 2n²)" n2n n=1 WI

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Q: -10000- Show that the set spans R. Find a subset of these vectors that is a basis 3 2 3 for R3. 2.

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Q: cos?. z=1 s divergent or convergent?

A: Given series is ∑z=1∞cos2πz

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Q: Find the future value if $9000 is invested for 13 years at 13% compounded annually. (Round your…

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Q: Evaluate 2 1 xe*y dydx e2 +e-1+ 3 e? - e-1 -3 Option 2 Option 3 e2 +e-1-3 Option 1 None of the…

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