1. Using tables of values, determine the limits of the following. (i) lim (x° + 1) x→1 (i) lim(1 – a² – a³) x→0 (k) lim Væ³ – 1 x→1

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Q: Explain why each of the following integrals is improper. 10 (a) dx 9)4 (х — O Since the integral has...

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Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 s- 5 20 1 2. s+3 5s -3 6s-5 3...

A: Given : 1)  L-1{2s-1s+9+4s-5}2) L-1{20s+3+15s-3+7s6}   NOTE: Since you have asked multiple questions...

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

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Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A: Our Aim is to evaluate the limit of the expression given below:-limn→∞2+8n+7n26n2-5n+7 -(i)

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Q: 5* dx 1+5*

A: FOLLOW THE PROCEDURE GIVEN BELOW.

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Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

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Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1

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A: Given system of equation2x+y-z=2x-y+z=72x+2y+z=4We know that for system of equation a1x+b1y+c1z=d1a2...

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A: The given number 0.81

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Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

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Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

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Q: 2. 2. 1. 14) sin- 16) sin-. 18) cos -1 20) cos 2.

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Q: Z = z = cos3xsin4y+2x²y az əz azz a²z a2z Find : дх' ду' дх ' ду'дхду

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Q: D Find a singular saluhion of DE: %3D

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Q: 1. Find the limit of the following: x° – 11x +37x* +6x' – 297x? +621x – 405 lim. x* —11x* +47х* -114...

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Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

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Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

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Q: 3. For the given function below, find 2x* - 3x3 - 21x? — 2х+ 24 y : 2x* -7x3 —11х? +22х +24 E. Infin...

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Q: Consider lim e-. a) lim 4x - x² = 0 b) If we let t = 4x - , then we can rewrite the limit as lim of

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Q: Mr. Ed Panem (GCOE) is tasked to schedule the final examinations for SUBJECT A, SUBJECT B, SUBJECT C...

A: Given: Total subjects=8Subjects name=A, B, C, D, E, F,G, HStudents are not taking both=AH, BH, DE, D...

Q: -32 2dy = 0

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Q: 7. Find the x cand y nvercapts of f fG)=4hx" (x+7)3

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first ques...

Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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