Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the y-axis. y = = ex², x = 1, x = √√√/3, y=0

Q: IV. Find Do not simplify your answers. dx 1. cos x + =xcoshy - 2y, where x > 0 cot ¹(x³) sec³ x 2. y…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²)…

A: To Evaluate: limx→3(x-3)tan(9-x2)sin2(2x-6) without using L'Hopital's Rule

Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: it is known that  line integral F·dr will be positive if both F and dr have same direction. and if…

Q: se provide correct answer for b

A: Given,                   f(x, y, z)=xy2zconstraint to                  x2+y2+z2=64

Q: The line L(t) = (2+1,8-31, 2t-6) intersects the plane 2y - 3x + 3z = -11 at the point

A: Given, the line             Lt=2+t, 8-3t, 2t-6                                   ...(1) Intersects…

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: Newton Method:-  so the value if y at x=5.00 is 6.28 inch

Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*107 part/m³), while the…

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Q: Identify and sketch manually the graph of the quadric surface 25x² -25y² -9z²-150x + 200 = 0.

A: Solution :-

Q: Using trigonometric substitution to solve: secx (A) +C 8 csc 2x√3+cos²x sin 2x B 8 cos x√3-cos²x sin…

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Q: -1<x<0 swer only three for the following function f(x) = { x: 0<x< 1 Find the Fourier coefficient…

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Q: B 4 3 5 6 1 -2 1 1 4 3 f(x) 1 92. The function f is twice differentiable. Selected values of ƒ are…

A: We can solve this using Newton divided differences method

Q: Write f(z) = Im(z 32) + zRe(z²) 5z in the form f(z) = u(x, y) + iv(x, y).

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Q: lowing vector in the span{V₁, V₂, V3}? 8,9) me vector is in the span. me vector is not in the span.

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Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch x 8118

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Q: Complete the table by finding the balance A when $18,000 is invested at rate r for t years,…

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Q: Find the value of F(s) given that; sin 3t, o<t<tπ f(t) = { sin 3t, t<πT Let L[sinzt u(t)-sin3(t…

A: Use the definition to find the Laplace transform of the function sin3t ut-sin3t-πut-π.

Q: Which of the following is the inverse of f(x)=√√x²-4? f'(x)=√x²-4 ƒ-¹(x)=x-2 Option 1 Option 2…

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Q: Example 10.12. Solve the following by Euler's modified method dy = log (x + y), y (0) = 2 dx at x =…

A: Here, we need to solve this differential equation using modified Euler's method.

Q: Let A = -5 0 74 0 2 64 20 4 4 3 5 4 4 Compute det(A) by hand by expanding in cofactors

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Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: We will use the Lagrange method. We have: x 2 4.25 5.25 7.81 9.2 10.6 y 7.2 7.1 6 5 3.5 5…

Q: I will only upvote if you meet the requirements 1) typewritten 2) complete solution 3) correct…

A: Given is some information about the function f(x), f'(x) and f''(x)   To Identify the equations of…

Q: | Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the…

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Q: If [2x 3] 1 21 -3 0 8 = 0, then the value of x is

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Q: Let S₁ be the surface generated by x = √1-(y-1)² revolved about the y-axis. Let S₂: y = x² + 2.…

A: This is the surface of revolution S1(x axis (green),y axis(red),z axis(blue)).

Q: Find d(u, v), if u = (2, -4,2,-1,-6) and =(4,-6, 2,-1,-6).

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Q: How. Find the volumes for the following solids whose heights are defined by E (x,y) and bases are…

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Q: Q1): The concentration of salt is given as a function of time by: dx -37.5-3.5x dt at the initial…

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Q: fe²x+Inx² sin x² dx = - +1/√√e²x cos x² dx

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Q: (2xte)dxt xe dyzo

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Q: V. Given: el3r-6-2, if x ≤2 13 f(x)=[2x - 5], if 2 3 √x²-9, 1. Determine if f is continuous or…

A: Given function is fx = e3x-6 -2   if  x≤22x-5  if  2&lt;x≤3x2 -9  if  x&gt;3 Domain for f(x) = -∞, ∞…

Q: uppose h' is continuous at x = 0 and h'(x) = Find h"(0+), if it exists. tan(2x) — 1 if x > 0.

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Q: Determine the indefinite integral

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Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = e* sin(t), z =…

A: Curvature and radius of converges

Q: log (x+3) 2+1-1-cosh (cos-¹x) lim

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Q: (-3,0) 3 -2 4- 3+ 2. -1 (0, -0.5) -1,-2) (-1,-3) -3- (1,0) 2 y = f'(x) 3 (2,-0.5) (3,-2) (4, -3) I

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Q: Example 10.12. Solve the following by Euler's modified method dy = log (x + y), y (0) = 2 dx. at x =…

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Q: 2 y (y² - 3x² ) dx + x (3y²-x²) dy = 0

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Q: Let n P₁ P2 = ppp be the prime factorisation of an integer n > 1. 1: ti A 11. C.

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: How many strings of three decimal digits (each digit can be 0-9) do not contain the same digit three…

A: Solution :-

Q: 10. 1²+2²+...+ n² = n(n+1)(2n + 1) 6 integer n ≥ 1. s 12 for every

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Q: A continuous X Co F(x1= ++x o BX C1 K 1 ≤X Find value of k V-V- X has CDF 16 17 18 19 20 21

A: Given CDF is F(X) = 0,x&lt;012x,0≤x&lt;1k,1≤x

Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: Given is information about the function f(x), f'(x) and f''(x) Then, to specify the intervals where…

Q: (1 + inxy) dx + (1 +5) dy = 0

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Q: 13. For the following digraphs, determine ISI, the cardinality of S if: a) S is the transitive…

A: A={a,b,c,d,e} The given relation as R={(b,c), (b,e), (c,e), (e,b), (e,c), (d,a)} For transitive…

Q: 2. Show that the series is conditionally convergent ∞ n=2 cos(nx) √n ln n

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Q: Which one is a normal vector to the line which is perpendicular to the 8x - 3y = 9. A (8,-3) OB.…

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Q: *********** - Integrate the following functions Ver f(x,y) = (x-1) =x the given reg y=x² Vegion

A: Evaluation of double integral of function bounded by xy-plane

Q: Numerical Analysis (1) Let f(x)= ex2 + 4x³ . Find the third Taylor polynomial of f about xo = 2.…

A: Given function is fx=ex−2+4x3. We have to find the third Taylor polynomial of the given function f…

Q: (sinxy +xy cos xy) dx + x² cosx y d y = о

A: The solution is given as