Let u = i +j and v = 5i - 3j. Input answer with NO SPACES. Find 3u - 2v:

Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n n3 + n2 +1 n=1 converges or diverges...

A: Using P and comparison test. 

Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

Q: at x = The function has a relative minimum of at x = The function is increasing on the interval(s):

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

Q: Evaluate the Riemann sum for f(x) = 2x - 1, -6 s xs 4, with five subintervals, taking the sample poi...

A: right reimann sum

Q: Determine whether the series converges.

A: Since there are two different questions. According to Bartleby's guidelines we can solve only 1 ques...

Q: Consider the indefinite integral dx Then the most appropriate substitution to simplify this integral...

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Q: e the graph to state the absolute and local maximum and minimum values of the function. (Enter your ...

A: Given query is to find absolute maximum and minimum value of the function.

Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: Determine the following limits. If the value is infinite, specify 0 or -o with enough justification ...

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Q: 19. Simplify the following expression fully. 1.1 11 d 20. Solve the following inequality. Write the ...

A: Topic = Algebra

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0<x≤3

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given : y"+y=csc(x)

Q: A chain lying on the ground is 10 meters long and its mass is 80 kilograms. The chain is threaded th...

A: Please follow step 2nd . 

Q: Find the general solution of the differential equation. 1 こ

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Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

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Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t...

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Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x...

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: Solve the given system of differential equations by systematic elimination. dx 2х - у dt dy = X dt (...

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Q: C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Fin...

A: (a).C(x)=0.01x30.03x2+9xC'(x)=0.03x2-0.6x+9 (b)C'(0)=9    

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: uaponbo Duwoyo an pooO *+1 And any Intercepts. (If an answer doc not edst, cnter DNE.) x-Interoept (...

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept, take y=0 here ...

Q: Solve x (t) – 2y (t) + z (t) = -3 x' (1) + y' (t) – z' (1) = 2 x' (1) + 2x (1) + z (1) = 1 where x (...

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Q: F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extrema if any...

A: Question- F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extr...

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010....

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Q: The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest...

A: Continuous compound interest formula : A = A0ert where A0 = amount invested in dollars A = amount ac...

Q: +00 Σ 4 Determine if the series converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: ∑n=1∞ 4n2+4n+34 ∑n=1∞ 1n2+4n+3 an =1n2+4n+3Applying series comparison test;1n2+4n+3<1n2checking c...

Q: Given f(x, y) = x® + 3xy4 – 2y°, find f-(x, y) = fy(x, y) =

A: If f(x, y) is a function then, fx(x, y)  is differentiation of f with respect to x making y variable...

Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: 10) An area is approximated to be 14 in using a left-endpoint rectangle approximation method. A righ...

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Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

Q: Find the absolute extrema of the function f(2) = 6a? – a³ on the interval – 1 < e < 7 This function ...

A: Here we have to find the absolute extrema of the function f(x)=6x2-x3.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 3x2 – 6x + ...

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Q: Let f(x) = Vx. Which of the following is the Taylor polynomial of degree 1 for f(x) centred at a = 1...

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: set up a triple integral for the volume of the following solid: the solid that lies in the first oct...

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Q: dy If y = (t² + 7t + 5) (2t² + 6), find dt

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Q: (1) Prove that every perfect square is either a multiple of 4 or e more than a multiple of 4. [Hint:...

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Q: Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) = (smal...

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Q: dx I [; (1-2x) I= [sin (4x) cos(4x)dx (In(x))3 dx I

A: Given

Q: Find the open intervals on which the function f(x) = ax? + bx + C, a0, is increasing and decreasing....

A: f(x)=ax2+bx+cf'(x)=2ax+bcritical point:f'(x)=02ax+b=0x=-b2aFor a&gt;0,f is increasing on (-b2a, ∞)be...

Q: The slope of the tangent line to the parabola y = 2a2 + 2a + 6 at the point ( – 2, 10) is: The equat...

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Q: Given the series 2-1 Lx=1 (1+ln²x)x 1. Justify if the series can be proved using the integral test g...

A: Given problem:-  

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: Use the Comparison Test to determine if the series Σ 5n Cos 2n n3 + n2 + 1 n=1

A: By looking at the series we get that the series is similar to ∑n=1∞1n2. So,                 limn→∞ 5...

Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) ...

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: y = cos(x In 3) log3 (sin x) is: cos (x In 3) y': In 3 cot(x) cos(x In 3) - sin(x In 3) In(sin x) - ...

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