Find a general solution of the system x'(t) = Ax(t) for the given matrix A. -96 4-[-] A = - 15 9 x(t) = C₁e (Use parentheses to clearly denote the argument of each function.)

Q: At what value(s) of x does cos x = 9x? X =

A: This is question of algebraHere is linear equation is given We have to solve for it.And find value…

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A: Conditions are given as follows

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Q: 2. Solve the DE 1. 2. (D-D³-9D²-11D-4)y=0 (D-4D³ +8D²-8D+4)y=0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Nweton's method

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Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: Evaluate the integral: [ x³√100- x²dx + C

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Q: How about #2?

A: The given differential equation is  ,

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Q: 4. Solve the following linear systems. 21 + 2x2 2x1 + x1 (a). - 22 x2 x3 3 + 24 = 4 x4 1 + x3 +

A: The system Ax=b is,The augmented matrix is,The reduced system is,The general solution is,

Q: But Use analytic methods to find (a) the critical values, (b) the local extrema, (c) the intervals…

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Q: Given: 3n An = 6n + 13. For both of the following answer blanks, decide whether the given sequence…

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Q: (8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec): dy…

A: The given function is .The aim is to find the differential for the given function.Formula used:

Q: Find the Left Riemann Sum and the Midpoint Riemann Sum for the function f(x) = x² - 2x on the…

A: The given function is .The aim is to find the left Riemann sum and the Midpoint Riemann sum for the…

Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE a) y"-y'-2y = 0 b) y" - 9y…

A: The given differential equation are , when

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Q: Let f(x, y, z, w) = 7x³y¹00w5+ sin(w) + z cos(x - y). Find fxyyywxwzyxyxzw (0, 0, 0, 0).

A: f(x,y,z,w)=7x3 + sin(w) + z cos(x-y)

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [xe 3x…

A: Green's theorem:

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A: Given:To Find: To amount of charge that passes through the surface after 10 seconds.

Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = B(t) = 1-t 1+t 41² 21³ 2t…

A: Product Law for differentiation, (AB)' = A'B + AB'.

Q: Graph the function: f(x)=(x-3)² 4-X if x4

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Q: Evaluate the iterated Integral [.. Answer: ry da dy.

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Q: Evaluate the integral: O x = (A) Which trig substitution is correct for this integral? 7 X = x = x =…

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Q: (16)(20)+(8) (32)=

A: The given expression is

Q: 37. f(x) = 2x +1 on [0, 4]; n = 4 38 f(x) 2.com-1mo TO 17:

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use integration by parts to evaluate the integral: Je-²s esin (2z)dz

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Q: Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 6. Part A: If h(x) = f (x) + g(x), solve for h(x) in…

A: This is Question of calculus.Here logerithmic equation function is given.We have to summation of…

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Q: Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2…

A: 2y'''+3y''-3y'-2y=e-t, y(0)=y'(0)=0, y''(0)=1

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Q: LESSON 15: HOMOGENOUS SECOND ORDER LINEAR DE 1. Given c) Solve the IVP if d) Solve the IVP if y(0) =…

A: The given differential equation is

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Q: Find the accumulated present value of an investment over a 9 year period if there is a continuous…

A: According to the Bartleby guidelines we are supposed to do the first one of multiple questions…

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Q: Find the accumulated present value of an investment over a 9 year period if there is a continuous…

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