(a) Show that the vectors v = and w = 2 are linearly independent. (b) Explain why 3 vectors in R" of the form u, v and w = au + bv, where a, b are any real numbers, are linearly dependent.

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Q: find the critical valves of f(x)= 3x?

A: We can find the critical values as below.

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A: Given problem:-

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A: I am attaching image so that you understand each and every step.

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A: NOTE: Refresh your page if you can't see any equations. . the center of the circle is  and the poin...

Q: The function g is defined by the following rule. g («) = G Find g (x) for each x-value in the table....

A: solution:-g(x)=17xg(-2)=17-2=72=49g-1=17-1=71=7g0=170=1g1=171=17g2=172=149hint,a0=1a-1=1aa is consta...

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Q: Find the solution to the initial-value problem. dy dx = y3xex2, y(0) = 1 y =

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: 2x dæ (ӕ — 1)* (а? + 1)

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction  ..................

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few t...

A: Given query is to find the general formula for nth term.

Q: etermine whether the geometric series is convergent or divergent. If it is convergent, find the sum....

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Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also us...

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A: In this case transverse axis is y axis.

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A: We have to use properties of log function to solve the problem.

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Q: Using Maclaurin series, determine to exactly what value the series converges. Σ (In(5))" n! n=0 (Use...

A: Maclaurin series  : f(x) = ∑n=0∞ fn(0)n! xn = f(0)+f'(0) x +f''(0)2!x2 + f'''(0)3!x3  + ...

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A: Given: The inequality x - 4 &gt; 0 is equivalent to x &lt; 4. Now, x - 4 &gt; 0 x &gt; 4 So, The ine...

Q: Find the general solution to the differential equation. y' = 6xy2 y

A: The given differential equation,         y'=6xy2

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A: In this question we have to find the correct answer.

Q: Solve : 737+8 – 492r+7 %3D x = -6 O r=1 O r= -22 x = x = 22 x = 15

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Q: Evaluate the following integral 2 πα 3 πα3 na3 3 πα 1 πα3

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Q: ketch the region enclosed by the given curves. x 6y2, x 4 + 5y2 y 20 15 10 10 15 20 O-21 20 15 10 15...

A: Given curves are x=6y2 and x=4+5y2 Sketch the region and find the area

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A: The given series,∑n=1∞xnn3.5n

Q: Find the general solution to the differential equation. dy dt = y cos(3t + 2) y =

A: We are given: dydt=y cos(3t+2) This can be solved as follows,

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Q: f = ((-3,-2), (2, 0), (1, – 1), (–2, -5)} and 8 = {(5,0), (0, 1), (1, 1)} Step 2 of 4: Find (f- g)(1...

A: We can find the answer as below

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A: The difference between a relative extremum and an absolute extremum is -  

Q: Use separation of variables to find the general implicit solution to the differential equation. 9  d...

A: Given:       9 dydx=eysin2θysecθ

Q: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) + (...

A: Solved below

Q: 3 + 4х? — 9а — 36 y = – 9x — 36 4а? + 28х + 48

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A: here in the given differential equation the dependent variable is x and independent variable is y he...

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A: We need to find equation of circle.

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Q: If a country experiences a doubling time of 45 years with a growth rate of 1.5%, then we can infer a...

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