Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

Q: Solve the following IVP: X' = AX + f(t), where 4- (; 7) 5 -3 1 1 and () 4 X(0) 2 f(t) = -3et e3t

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Q: am confused can you highlight answers please thank u

A: From the original solution the answers are: Intercept: 0, 0 Relative minimum: -5, -110 Relative…

Q: Find T(t) and N(t) at the given poi: x = e cos t, y=e' sin t, z = %3D %3D T(0) = N(0) = %3D

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Q: -3 2. (2x+4)3 8x dX use integration by parts and then find the value of definite integral.

A: A detailed solution is given below.

Q: Answer

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Q: Convergent. or divergent dx ra5-x 3 25-X

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Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: Find div F and curl F if F(r, y, z) = 2e""i – 9 cos yj+ 4 sin? z k. div F= curl F

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Q: Find the sum, if it converges. Σ6 i= 1 The sum is (Type an integer or a simplified fraction.)

A: In this question we have to find the sum if the series is converges.

Q: Can someone please double check my work for this problem? Thank you SO much!

A: Given problem:- Evaluate ∫c F. dr,where F=<x,y2>and C is the line segment from (-1, 5) to (0,…

Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

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Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: calculation of above requirement are as follows

Q: 4. Use the definition of integration to find (1+2x' ) dx , that is find lim f(x; )Ax

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Q: O5 D Set yp but do not evalvate em integral that represent3 the volume of the solid of…

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Q: (y' +1)dx +(2xy +1)dy

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Q: Plz

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Q: I. INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) f'(x) lim = lim Equation 1…

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Q: 3. Find the equation of the plane tangent to xyz + x² – 2y² +z' =14 at (5,–2,3)

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Q: Find V x (V × F) if F(x, y, z) = xyj+ 6xyz k. V × (V × F) =

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Q: a(2))® dz: Consider the indefinite integral This can be transformed into a basic integral by letting…

A: Consider the indefinite integral

Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

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Q: Question 9 Solve the problem. Find the volume of the region enclosed by the sphere x2 + y2+ z2 = 100…

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Q: Given / f(x)dx = -3 and / g(x)dx = 6 , evaluate (a) / ise) – 59(=)|dz 1 *(x) + (e) [ 15(4) – o(=) +…

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Q: need

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Q: H.W: Evaluate the integral 3 0 2π π 5. || (sinx + cosy)dxdy

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Q: he Taylor series for fx) centered at the given Val f(x) = x- 6x2 + 2, a = 2 %3D E"e(x- 2)" = -6 +…

A: Taylor series

Q: Evaluate the iterated integral. 7 8 6 | // * +v° + 2²) dx dy dz -6 0 0 / /(x² + x² + z²)dx dy dz i…

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Q: Write an iterated integral for d. dA over the region R described to the right using R a. vertical…

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Q: For problems 3- 4 determine the angle between the two vectors. 3. p 9i-j, =-37-6j

A: Topic = Vectors As per guidelines , At a time only one question can be answered. please repost for…

Q: Have a look at the following graphs and write the mathematical notation of the following definite…

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Q: Differentiate. 9. y = e

A: As per the guidelines I am sharing the solution to the first question.

Q: dx V1-e2x

A: A detailed solution is given below.

Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

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Q: Evaluate the line integral -ydr + rdy along the curve C : y² = 6x from (6, 6) to (0,0). NOTE: Enter…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t+oo\ 5t2 + 6' 8t (?, ?)…

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Q: Evaluate Soni Sm e" sin(e")e dædy cIn 1

A: Integral

Q: L. dr 16. (I + 2)² 1 dz 17. x(x+2) 18. / arctan Vr dr

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Q: x³ Jx² +3dx

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Q: Evaluate the integral using the following values. 8 8. x3 dx = 960, x dx = 24, dx = 4 x3 dx

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) (x² + lim x + 5…

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Q: Question 15 The price per barrel of crude oil can be approximated by the function, P(t) = 0.45t? -…

A: We have to find the average rate of change of function.

Q: Evaluate the iterated integral Jxvcyddz. 00 Do not round. Give the answer in the form of the common…

A: We have to find value of given triple Integral.

Q: dr

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Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

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Q: 1 Evaluate dx. - 2x 10 + e 1 dx 2x + C 10 + e

A: To solve the following integral problem

Q: 2. If ā = 3i - 27 + ok and b =(4,-1,-6) compute ā xb. 3. Find a vector that is orthogonal to the…

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Q: Solve the differential equation. f'(x) = 10x – 12.3 f(3) = 2 -

A: Given query is to find the solution of the differential equation.

Q: For problems 1- 2determine the dot product, a-b. 1. ā = 9ĩ -8k , 5 = (3.-2.1) 2. and the angle…

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Q: Evaluate the definite integral. (Round your answer to two decimal places.) 1 9 (cosh(x))² dx

A: cos h(2x)=cos h2x +sin h2xcos h(2x)=2cos h2x -1cos h(2x)=1+2sin h2xcos h2x =1+ cos h (2x)2