3 sin³ (tan √x² + 3x²)] dx d [(x²+1) cotx dx 3- cos x csc x

Q: two iterat x' = -2x+t, using successive approximation. x(0) = 1.

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Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

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Q: Evaluate the following integrals. Show the solution.

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Q: Write down a differential equation of the form =ay + b whose dy dt solutions all approach y = 6 as…

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Q: Use the definition of continuity and the properties of limits to show that the function g is…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: explain

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Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Evaluate the indefinite integral given below. [(1 (10-20x4) csc² (2x5 - 5x) dx

A: We have to evaluate the indefinite integral ∫10-20x4 csc22x5-5x dx.

Q: Let f be a function on an interval I and let ₁ and 2 be any two points in I. Then if f (x₁) > f (x₂)…

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Q: ab c Pq r U V W a. det (2B¹) where B = 4u 2a 4v 2b -q 4w 2c <-r 2p -a+u 3u b. det (20¹) where C =…

A: Given problem:-

Q: Define R as the region that is bounded by the graph of the function f(x) = isk method to find the…

A: Follow the procedure given below.

Q: The human population of Earth in July 2014 was 7.295 billion, and was expected to grow by about…

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Q: (sinhz)(coth’z+csch*r)dz

A: Integration is done.

Q: III. Let f(x) = 2 sin x 1. Use the local linear approximation of f at x = 0 to approximate e2…

A: Given problem:-

Q: 5 sine cose de Sin²+ 3sine - 4

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Q: Q2. (a) Write down the function corresponding to the graph given below. Is the function even or odd…

A: Concept: Fourier series: The enlargement of a periodic feature f(x) in phrases of a limitless sum of…

Q: Which statement is true for a function f(x)? b The average value of a function is [ f(x) dx. a f…

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Q: II. Evaluate the following integrals. 4. J 9x - 5 dx 18x + 13 9x² 6

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Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

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Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

Q: x² + x 1. lim x++∞ e²x + Inx 2. lim (sech 2x) esch x² +0+x

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Q: Determine whether the series 1/4 O 1/2 3/4 + Ex=1 ( 2² - 2 +²+1) 2k+1 0 1 converges and if so, find…

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Q: Q3/ Using shifting and reflection to draw the following functions. 2- y = √1 ex 2- y = sin(x) + 1

A: As per bartleby guidelines we only give first question answers.

Q: 3. Determine whether the following pairs of functions are linearly dependent or linearly…

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Q: Given f(x) below, find f'(x). Provide your answer below: f'(x) = f(x) = - +6 √√x 15 dt

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Evaluate the integral sin^4 e de from 0 to π/2 * 2π/3 TT/4 31/16 31/5 O h

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Q: Test for exactness, then solve.  ey dx + (2y + xey) dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. 1. Find the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: handwritten. Please skip

A: We assume inf B is the greatest lower bounded of B which means that it is lower bound : inf B ≤x…

Q: A group of management students are creating a business plan for their proposed shoe brand Sole…

A: Marginal profit is the profit earned by a firm or individual when one additional or marginal unit is…

Q: While buying a new car, David made a d payment of $1,100 and agreed to make end payments of $230 for…

A: Please refer to the image below

Q: TU (sin³ x)√1 + cos x dx EN

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Q: Question 4 Given a second order differential equation d²x dx 2 + 10x = e²t dt² dt dx where t = 0, x…

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Q: Set up the triple integral that will give the following: the volume of R using cylindrical…

A: We have to find

Q: Evaluate the limits using the L'Hopital's Rule. lim (tan x)(sin x- x-1) x+2+

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Q: Evaluate the limits using the L'Hopital's lim (tan x) (sin x-1) x+2+

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Q: Evaluate the limit: lim (x - ln x)* x→0+

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Q: 4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide…

A: We know that average  value of the function f(x) on [a,b,] is 1b-a∫abf(x)dx

Q: Find the grea i) Sketch the ii) Determine the iii) vet up iv) Integrate 7) y=vin of the boundaries a…

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Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

A: note : as per our company guidelines , we support one question in one request (because these two…

Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: Solution given below

Q: 2. S 2x 2 5+2x+x -dx

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Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

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Q: Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent,…

A: derivative

Q: For several weeks, MMDA has been recording the speed of freeway traffic in EDSA. The data suggest…

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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