17) f(x) = 0.2x +0.3x2 - 0.5x +10; interval [-4, -1]; 3 subintervals C) 30.0 %3D A)60 B) 34.0

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A: Given:       ∫27f(x)dx=12 , ∫27g(x)dx=6       ∫67f(x)dx=6 , ∫26g(x)dx=2 we can write as…

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Q: S L-1 s2-4s+13)

A: Rewrite

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Q: (a) Find the general solution of the differential equation dx = x – x² - x? dt (b) Solve the…

A: Topic:- application of integration  Note:- as per our guideline if more than one question uploaded…

Q: csc? 20 cot 20 de

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Q: Find an eigenbasis and diagonalize. (Show the details.) 14.4 -11.2 10. -11.2 102.6.

A: Given :14.4-11.2-11.2102.6

Q: 00 16n+3 E(-1)"-1. n²+3 n – | n=1 a) Determine whether or not the series is absolutely convergent.…

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Q: complete

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Q: What is the square root of -5?

A: Here we have to find the -5

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A: This question is based on application of diffrential equation.

Q: Solve a3 -4x2 +4x 3x4 –12x3 +12x2 limp→2'

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Q: Q/ For the function shown bellow; find dyldx using Chain rule 4 2x + 4)ª ||

A: The function is given by y = 2x+44 To evaluate: The derivative of the function using Chain Rule of…

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + at the point…

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Q: y"' + 4y" + 9y' + 10y = when x = y = 0, y' = -4, y" = 10

A: To find the general solution of the given differential equation.y'''+4y''+9y'+10y=-24e-x, when…

Q: 1 е. (s2 +1)(s2+4s+8)

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Q: Solve the system of linear equations бу + 4z %3D -24 Зx + Зу -6 %D 2x 3z = 4 (х, у, 2) %3D (||

A: Here we have to solve the system of linear equations. 6y+4z=-24 ..................... (1)3x+3y=-6…

Q: O2/ Find all Max. + Min. Saddle point for the function below. Flay) = 2 xy-5x-2y + 4x+4y-4 %3D

A: This is a problem related to maxima and minima of multivariable function. Based on the general…

Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

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Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 50 miles…

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Q: 1-2 I For each of the following functions given by power series, find f'(x) and / f(x)dx. Do not…

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Q: 2. cos(ry?) = cot(3") + 3e"

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Q: 1.0 1,0 -5 (2 - x for 0<x < 2, for 2 <x < 4. Let f(a) = Compute the Fourier sine coefficients for…

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Q: Given the equation dx + xydy y? dx + ydy. Solve for the solution when x = 3 and y = 0 1. ( ) dx ) dy…

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Q: 16n+3 (-1)"-1, n=1 n²+3 a) Determine whether or not the series is absolutely convergent. b)…

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Q: V312-x2 31 dydx = %3D 1+x2+y2 Jo int062) ○ 푸n(31) 2 O In(962) O TIn(962) O 2nln(31)

A: Given: I=∫031∫0312-x221+x2+y2dxydx   Now convert to polar coordinate to solve the given integral. As…

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Q: 8. 1 is convergent or ) Use the Integral Test to determine whether the series divergent. "(Зп — 1)?…

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A: Let's find.

Q: y 21 5 6 -2 -1 %3D1 -D2 3, (N

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Q: 4) What is x to the power of -6?

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Q: 3- Given r= (-3,10) and s= (12,-7), find a- r+s b- s-r.

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Q: Sider tne two 00 6n (a) 2 5n + 39 n=1 00 (b) 2 n2 In n n=1 Which of the following statements is true…

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Q: Obtain the general solution unless otherwise instructed (D5 + D4 – 7D³ – 11D² – 8D – 12)y = 0…

A: In this question we will find CF only as PI part is 0

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Q: + 2x-3 Find a lim f) b lim , x) Jig. f(x) d lim rx)

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Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

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Q: Using linear approximation formula, approximate ln(1.02) 0.02 O 1.02 O In (1.02) O In (0.02)

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Q: Evaluate the integrals in the following questions using integration by parts For Soc 0 cos T0 do

A: Explanation of the answer is as follows

Q: Find the general solution of the following differential equations: a. +6- dr + 9 0. dr3 dr² dy + 4.…

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Q: 13) y"+7y'+12y = 21e", y(0) = 3.5. y'(0) = -10.

A: