Find the volume of the solid obtained by rotating the region bounded by y = 5x³ and X= about the line x = -5

Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

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Q: Use partial fractions to find the area of the given region. 7 16x² y = y 3

A: Now area of the region f(x) from a to b formula Area=int_a^b f(x) dx

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Q: For each of the following infinite series, determine whether the series is absolutely convergent,…

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Q: 4 (3x² – √x) dx

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Q: To establish a "rainy day" cash reserve account, a certain company deposits $11,000 of its profit at…

A: We have   P = 11000    r = 1.55% = 1.55/100 = 0.0155 Compund quartely: n = 4   t = 4 in first    t =…

Q: Find the exact length of the polar curve described by r = 6e-0 32 -π ≤ 0 ≤ 5π. on the interval 2"

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Q: Use the Rectangular Approximation Method to approximate the area of f(x)=³ on the interval [0,8 with…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

Q: SKETCHPAD Question 16 What unit vector is in the same direction as v = 2i - 4j?

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Q: (7) Given the graph of f(x) below, state the value of the following limits if they exist y

A: as per bartleby guidelines we are supposed to answer first three subparts only please repost other…

Q: Consider the lines shown below: 61 5 ++ 3- 27 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -5 2 3 4 5 6 For each…

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Q: Using algebra, find the point at which the line h(x) = (x, y) = = 2x + 0 intersects the line k(x) =…

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Q: For the sequence an = its first term is -18 its second term is its third term is its fourth term is…

A: an = (-1)n18/n2

Q: Find the area of the unbounded shaded region. 3 (x - 1)³ -∞0 < x < -1

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Q: Solve the equation by using the quadratic formula. 6y + 3 = -4y² Select one: √105 √105 Da { - 1 +…

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Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + + 3.5 5.7 7.9 9.11 (Use symbolic notation and…

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Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: 6. y cos5 (sin(2x)), y'=?

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Q: fees

A: Solving the problem

Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: Find the linearization at x = a. f(x) = 5x³, a = 1 (Use symbolic notation and fractions where…

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Q: Determine the following integrals. 1 fsin5 x.cos¹ x dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64

Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: 20. lim x-0 cos mx 2 x² Cos nx

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Q: True or False a) If the second derivative = 0 at x = a, then you will have an inflection point at…

A: We have statements: a) If the second derivative = 0 at x = a, then you will have an inflection point…

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: A line passes through the points A(-1, 3, 1) and B(2, 0, -1). Find a vector equation of the line. A)…

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Q: The electrostatic potential on all parts a a conducting circular disc of radius r is given by the…

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Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

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Q: Find AB and BA. 2 -2 0 A = [33] and B = [11] -3 9 Select one: O a. AB = 2 = [39]; J: BA B = [];BA =…

A: Given: A=2-2-39 and B=1001 We are required to find: AB and BA

Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: The bus stop is across a grassy park. It is 1500 feet west and 500 feet north of her starting…

Q: Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand…

A: Binomial Theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+......+Cnnbn. Binomial coefficient:…

Q: (2) Prove that TT/2 S tane Z coś 0 (1 + tano) ² 11 #la

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Q: Represent a⃗ +b⃗  by using the head to tail method. Use the Vector tool to draw the vectors,…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Consider the following vector function. r(t) = ( 26, 12², 1²) (a) Find the unit tangent and unit…

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Q: Estimate S M₁~ e -x2 dx using the Midpoint Rule with n = = 4, correct to 5 decimal places.

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Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given that a a functio f(x, y) = x2 +xy + y2 +2y. And we find local maximum value and local minimum…