lim x++∞ x² + x e²x + In x

Q: So x² (a²-x²) ³¹/2² dx

A: A detailed solution is given below.

Q: II. Evaluate the following integrals. 3. 12-2² | dr

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Q: Find the volume of the colld_generated by. revolving the area bounded by the given curves_ about the…

A: We need to find volume.

Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

A: We have to set up the integral and draw solid B.

Q: The following differential equation is a Bernoulli equation: 2 dy + = y³ y3 where y = f(t) dt t By…

A: The following differential equation is a Bernoulli equation:dydt+yt=y23 where y=ftBy making the…

Q: Given: cos 3y + sin 2x 2 cos 2x 2 O -3 sin 3y-3 -2 cos 22-2 O -3 sin 3y 3 O -2 cos 2x-2 3 sin 3y 3 2…

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Q: The function f(t) = 1200 represents the rate of flow of money in dollars per year. Assume a 5-year…

A: We are given  f(t) = 1200 as the rate of flow of money in dollars per year.  Interest rate= 4%…

Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y 0, and x = 49 is…

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Q: What is the x-coordinate of the centroid of the plane region bounded by the x-axis and the…

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

A: We have to find the marginal profit when 100 pairs are sold, production level so the average cost…

Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and dv f…

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Q: Answer

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Q: Suppose the ball is dropped at rest from the top of the house 64 ft above the ground and the only…

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Q: X(jw) = 8.8cos (3w) sin(0.5w)

A: Given function is:X(j,w)=8.8cos(3w)sin(0.5w)we have to find the value of X(3,5).value of…

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

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Q: Evaluate the multiple integral.* 22y [ ✓²)¢ dx dy 10 17.5 16.5 The area hounded by the graphs of y=

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Q: Solve the differential equation of order one.  (x4 + 2y)dx - xdy=0 STEPS: a. Put the equation in…

A: Separate the equation to form standard form then solve

Q: Which of the following is the general solution to the differential equation (3s-2t + 1)ds = −(3s −…

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Q: The function f(x), which is defined for a ≤ x ≤ b, has the following behavior: f'(x) 0. Choose the…

A: Follow the procedure given below.

Q: Find the value of t 20 + 10t - 4.905€ ² =0

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Q: Perform the integration. (sinh x)(coth x +csch3x) dx +

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Q: 7. y' = e² + 2y; y(0) = 2

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

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

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Q: 2. 0 sec³ x tan x √2+ sec x dx

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Q: IV. Solve the following problems completely. 3 1. Use local linear approximation to estimate √√(3.…

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Q: find the area the of region i) sketch the area, ii) Determine the boundaries ii) retup the definite…

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Q: Test for exactness then solve. (6x + y2)dx + y(2x − 3y)dy = 0

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Q: 1. Let B = {. What is A. C. B. ( D. cannot identify } and the operation * is defined by the table…

A: To find what element we get after operating the given elements.

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: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: Electric usage over the course of a day varies. The graph shown is of electricity costs per hour.…

A: Use average concept

Q: 3x² - 6x² + x (36²-6x² x)]d² X

A:

Q: Determine an equation of the normal line (a line that is perpendicular to the tangent line) to the…

A: Let's find equation of normal line.

Q: Using Laplace transforms, solve the initial value problem y" − 2y' + 10y = 0, y(0) = -3, y'(0) = 3.…

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Q: Test for exactness then solve. (1 +  y2)dx + (x2y + y)dy = 0

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Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0

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Q: 2. Evaluate the integral: SSS teu du ds dt

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Q: II. Find the value(s) of x (or the interval of convergence) 2. Σn=0 for each of the following power…

A: The power series is  ∑n=0∞ (-1)n+1(x-5)nn·5n

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

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Q: Find the equation of the line tangent to y = e The equation of the line tangent is y= at x = 1 - In…

A: Given query is to find the equation of the tangent.

Q: it possible to get the area = 3x and y = x³, usi a. vertical strips b. horizontal strips

A: We have to find the area of the given function according to the given information

Q: Perform the following integration. 1. (sinhæ)(coth? a+csch® a) dự sec³ x tan x 2. S dx √2 + sec x 3.…

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Q: Evaluate ²(2x + 3e* - 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE

A: Given problem:-

Q: The integral of 3^4x dx is equal to A^AY Ing+ 0

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Q: = t² - 6t + 8, The velocity function of a particle moving along a horizontal line is given by v(t)…

A: Velocity and acceleration

Q: 6. Find the area bounded by y= In x, y = 0 and x = e.

A: Area of a curve y=f(x) bounded by x=a, x=b is given by, A=∫abf(x)dx ln(e)=1, ln(1)=0

Q: What is the volume in cubic units of the solid formed when the region is revolved about x = -1?…

A: The objective is to find the volume.