75° 4 A = (b) 0.4 rad 15

Q: Finding Area by the Fundamental Theorem Find the area of the region. See Example 2. y = 7eX/3 2 -2 2…

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Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx - (b) S x*Vx5 – 1 dx S ds (c) S V2s+3

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Q: 6. y = c,eaxcosbx + Czeaxsinbx and a and b are

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Q: +1)dy/dx+y=lnx If what method of differential equation

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Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

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Q: 21 Given the function F(x) = x3 + 2x – 1, find the value F(-2).

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Q: Please clarify the answers.

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Q: dx S. 2x - 1 e

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Q: Can you transcribe this to an image because I'm having a hard time understanding the equations

A: Here is the image form of the solution.

Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

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Q: Solve the differential equation below using series methods. y'' – 4xy' – y = 0, y(0) = 4, y'(0) = 2…

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Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If f(0) = 2 and f'(0)…

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Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

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Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: Find and classify all the critical points of f(x, y) = 2x - 9y - xy + x2 + 5y2 .

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Q: O Use the Comparison Test to determine whether the series is convergent or In-1 n=2 divergent. Show…

A: ∑n=2∞1n-1

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Solution is here

Q: Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x 2. y = x³,y = 4x?

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Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1

Q: Solve the differential equation below using series methods. y'' – 4xy' – y = 0, y(0) = 4, y'(0) = 2…

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Q: attached

A: Please refer to the image below

Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

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Q: 4. Assignment For group presentation. Select 2 from the following list of items. Submission link can…

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Q: How to compare two numbers using binomial theorem. Explain step by step

A: Binomial theorem is a very powerful mathematical tool when it comes to comparing complicated…

Q: . Evaluate cos 0 if sin 0 = -1/4 and 0 is in quadrant II

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Q: (-1)" „2n for all x E R. (2n)! Consider the series expansion of the cosine function cos(x) = > n=0…

A: nth degree Maclaurin polynomial for f(x) :       f(x) =∑ i=0n fi(0)i!xi   =…

Q: A man on a wharf is pulling a rope tied to a raft at a rate of 0.6 m/s. If the hands of the man…

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Q: How did you get the volume of the hole and the ball? Referring to 4/3pi in the beginning

A: We know volume of a sphere of radius r=43πr3 cubic unit

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Q: 3z dz (1 – 4z–2z²)²

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Q: -2 is a critical number of the function f(x) = 2x - x2. Select one: O True O False

A: Given: f(x)=2x-x2

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Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Is it possible to write it in a piece of paper for a clearer solution? thank you!

A: The given question can be solved using integration by first applying substitution and then applying…

Q: 3) solve: y'-Hef't 44=HC032t; y0)=2, qla)== using Laplace treensform |

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: x² + 9 dx J x2 – 1)(x² + 4) | In \x + 1| + In |x – 1| +; tan-1 (-) + c -In |x + 1| - In |x – 1| -;…

A: Topic:- application of integration

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: Solve the following:

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Q: Find the Laplace transform of the following periodic function? 0 <t < t n <t < 2n cos t 1- f(t) = {…

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Q: Calculus Question

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Q: 3. Evaluate: lim -) X-0 sinx

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Q: (i) What are the projections of the point (2, 3, 5) on the ry-, yz- and rz-planes? (ii) Write…

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