1 Sketch of the region enclosed by the given curves and find its area: (a) y = cos x, y=cos?x, 0

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

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Q: 8. if I – 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = エ} ...

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 2...

A: We have to find the Maclaurin series for the given function                                         ...

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Q: 3. Which of the following is the location of an asymptote in the graph y = csc x? X = 2 O x-- 2 Ox- ...

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Q: Maximize Q= xy, where x and y are positive numbers such that x+8y=6. ... Write the objective functio...

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Q: би Compute Rw for R(u, v, w) = u + w (Give an exact answer. Use symbolic notation and fractions wher...

A: Here, the given function is: R(u,v,w)=6uv+w

Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

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Q: the following without the use otes, turning points and lines c ?²+b?y =r², a>b>0 ar 22 3 - 4y - 2x-8...

A: A)a2x2+b2y2 =r2,  a>b>0, r>0r>0.Hence, The curve doesn't pass through origin.Symmetry:Re...

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Q: Use the given information to determine the remaining five trigonometric values. Rationalize any deno...

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Q: The coefficient of sin(x) in the antiderivative of F(x)=|

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Q: Question 5: The 3×3 matrix M is given below, in term of a constant y: [y - 3 M = -2 1 y -2 -1 у -1 у...

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Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimu...

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Q: 5. [4e2xdx

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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (-x--) - 1....

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Q: Graph the piecewise-defined function. x-3 if xs5 (x) = 2 if x>5 .... Choose the correct graph. OD. B...

A: Topic = Function Correct option = D

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: 6. S21-2xdx

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Q: Determine whether the series is convergent that you use. divergent. Write test or 2 ८ 88

A: Explanation of the answer is as follows

Q: 0.0161t where A, is the amount of the Aoe A certain radioactive isotope decays according to the form...

A: Given problem:- A certain radioactive isotope decays according to the formula A=A0 e-0.0161t where A...

Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

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A: First we use Right endpoints (Right Riemann sum) to find the area of the curve then we use left endp...

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Q: Consider the function f(x) 2x + 3x? 36x 54. - a. Find the first derivative. f'(x) b. List any critic...

A: Given the function f(x) = 2x3 + 3x2 - 36x - 54

Q: 3. Find the angles between the vectors: u = 2i + j, v= i + 2j – k а. b. u = 2i – 2j + k, v = 3i + 4k

A: Angle between two vectors, θ=cos-1u→.v→|u→| |v|→ a)  u→.v→=2i+j.i+2j-k       =2+2 u→.v→=4 |u→|=22+12...

Q: 00 Several terms of a sequence fa,} are given below. n 1 {1, 8, 64, 512, 4096, ..} a. Find the next ...

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Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O ...

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Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I dx...

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Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely o...

A: This is a problem of series calculation. Based on the root test we will determine the nature of seri...

Q: Let f(x) = and calculate V35-z+1 dr by using integration by substitution. What was your substitution...

A: substitution method find integration

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Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-7, 8) Sup 1 T...

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Q: Find the rectangular coordinates of the points whose polar coordinates are given. ( a) ( 6, π/6) (b)...

A: This question is based on conversion of polar coordinates to rectangular coordinates.

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an equati...

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Q: 48-51 Find the horizontal asymptotes of the curve and use them, together with concavity and interval...

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Q: Find the Maclaurin series for f(x). f(x) = sin- 3

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Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 6+ 5- 4- 2- -6 -5 -4 -3 -2 -2- -3 -4 -5...

A: From the given graph, we have to find the limits at x=1

Q: Determine £ {F}. -26s-20 F(s) = %3D (s+ 1)2(s + 6)

A: Inverse laplace transformation of -s2-26s-20s+12s+6

Q: Evaluate the limit 4x + 11 lim 5x2 – 3x + 9

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

Q: Find the area of the triangle with vertices P(1, 2, -4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the ex...

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Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 4x, about the line y...

A: We have to find the volume of the region.

Q: Let f(x) = r + 5•x + 2 and g(x) 2 x +7. x + 1. Write down an expression to calculate the area betwee...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

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Q: dx Using Trigonometric substitution, prove that J A-rž arc sin x + C

A: The given integration is ∫dx1-x2     . We have to solve the integration using Trigonometric substitu...

Q: Find any vertical asymptotes. 4x - 4 h(x) = x2 + 4 О А. х32, х- -6 В. X%3 - 2, х-6 OC. y=2, y= - 6 O...

A: For vertical asymptotes equate the denominator to zero