CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a difference Question Evaluate the following limit using L'Hospital's rule. lim (-2 In (x²) + 3x-) Provide your answer below: lim (-2 In(x*) + 3x²) = A FEEDBACK MORE INSTRUCTION SUBMIT

Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

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Q: Part I x² -9 1. lim х>з х-3

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Q: 11. Let b be a real number with b > 1. Determine whether > 1 converges or diverges. As part 1+ bk…

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Q: Given: f(x) = with f'(x) = r(x+8)(x – 2) and f"(x) = 8(7x – 4) %3D (r+2)² ' (r+ 2)³ (r+ 2)ª (a) Find…

A: Note: Since, the student has mentioned to solve only part (a), so we are going to solve only part…

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Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

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Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: y = x°, y = 256 , y axis , revolved at y axis 3.

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Q: Question The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is…

A: A=12bhDifferentiate w.r.t 't'dAdt=12hdbdt+dhdtbSubstitute h=12, dhdt=9, dbdt=5, b=4

Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

Q: (3) Find the position function of the particle at time t ≥0. a(t) = 3t −14, v(2) = 0, s(−1) = 2

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Q: (2x - 5y + 3)dx - (2x+4y - 6)dy = 0

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Q: Sin (Lnx) elX

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Q: S sin2xsecx dx

A: LetI=∫0πsin2xsecxdxI=∫0π2sin2xsecxdx+∫π2πsin2xsecxdxWe know that sin(2x)=2sin(x).cos(x)I=∫0π2secx·…

Q: 5. Evaluate a. 3! ×4! 5!

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A: Let  Number of cheaper shirt = x  Number of other shirt = y  cheaper shirt yields a profit of $8 and…

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Q: (-1)"(n + 2) 2n+1(n + 1) 4. Compute the exact value of n=0

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Q: Question Evaluate the following limit using L'Hospital's rule. lim X09e - 9 18x] Provide an exact…

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Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

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Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Use the Root Test to determine whether the series convergent or divergent. (3n – 1)" Ln=1 n2n

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Q: Use the Integral Test to determincwhether the scries In n n2 converges or diverges. Be sure to show…

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Q: Evaluate the indefinite wntegral 3tinigas 3. xIn X

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Q: d,e,f

A: We will solve the limits.

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A: Given :Max f(x, y, z) = xyzConstraints :  x + y + z=24, x-y+z=8To find : x, y and z are…

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A: Answer is in below steps.

Q: In polar form, the integral (a + y°) dy dæ 9-22 reads 2T 73/2 dr d0 r°dr do ?dr de 0. O None of…

A: To convert cartesian co-ordinates (x,y) into polar co-ordinates (r,θ) we use the following…

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A: The graph is shown below:

Q: The evaluation of S xy e*dxdy is 0.5 e 0.25 e- 0.5 O e-0.25 O

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Q: solve the following ODE * y + xy = 6x/y

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Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

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Q: Find the simplified form of the derivative of y = 1+csc 3x %3D cot 3x O y = 3 csc 3x csc(3r)-1 O (E)…

A: We have to find the simplified form of the derivative of  y = 1+csc 3xcot 3x.

Q: Consider the following IVP: y'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2

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Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

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Q: Work Problem 2n11 5h Consider the geometric series a) Find the first term a and the ratio r of the…

A: Given query is to find fist term,common ratio, and sum of the sequence.

Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

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Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: Solve for ∂w/∂y and ∂w/∂x w=(x-y)/(x+y)

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Q: (तवन 2.

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Q: 2) A cuboid has a square base of side x cm. The height of the cuboid is ½ times the length of the…

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