1/2 lim (3* + x) x→+∞

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

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Q: 1. Find the area of the region bounded by the curves y = 3x and y=x².

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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: Evaluate ¹ dx √√9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞o

A: Given

Q: Evaluate the following integrals. Show the solution.

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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: 9. S 1 x√64+9x² =dx

A: The given integral,      ∫1x64+9x2dx

Q: 4. Evaluate the double integral: So p 1/3 27 +1 (Hint: Change the order of integration to dy dx.) dx…

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Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: २ -2 el dy ely +2 e. 2

A: To integrate.

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

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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: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Given F(x) below, find F'(x). ovide your answer below: F'(x)= at attribution (x) = cos(x) (12-2) dr

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

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Q: P 1. (1 Use the cylindrical shell method to find the volume of the solid obtained by rotating the…

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Q: Evaluate the limit using the L'Hopital's Rule 1 - cosh x lim x+0+ ln(x² + 1)

A: SOLUTION-

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

A: Using L Hospitals rule , Value of given limit is evaluated.

Q: Q3. Evaluate : IL (2) * dy dx

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Q: 64 Lood (vt. 1 √t + √i) dt

A: Given ∫164(t-1t+t3) dtTo evaluate the Integral:

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: What is the volume in cubic units of the solid formed when the region bounded by x = y - y^2 and x =…

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Q: 3 foa 0 (|3x − 1| + |3* – 3|) dx

A: Use integral concept

Q: The area bounded by the graphs of y = 2 - x^2 and y = x^2 revolves about the x-axis. Determine the…

A: The given curves are y=2-x2 and y=x2   Now find the point of intersection between the given curves.…

Q: 1. Evaluate the following limits x-tanx 1. lim x-sinx x-0 9

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Q: Find the area bounded by y = 2x² and y = x a. 9/2 b. 7/2 c. 5/2 d. 3/2 e. NONE OF THE ABOVE

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

A: Here is the solution:

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: ૩ 3* sech³ (3) 1+tanh (3) S- -dx

A: Substitution method in integration: To simplify the integral, in the given integral independent…

Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: 2 a sin 0 0 a²_r² .2 a So 0 rdz dr de

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Q: Suppose that a movie theater has a screen that is 29 feet tall. When you sit down, the bottom of the…

A: Given: θ=Viewing angleθx=tan-137x-tan-18x…

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: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Area between x=11+y2, x=0

Q: Perform the integration. π ¹3 sec³ x tan x dx √2 + secx 0

A: A detailed solution is given below.

Q: S t /1+3t - dt

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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: Sketch the graph of r = 0 90° +2

A: To sketch the graph of r=θ90°+2.

Q: DETERMINE THE INSTANTANEOUS RATE OF CHANGE OF THE FUNCTION AT X=1 sin (2³) 1 + √t - f(x) = x3 dt

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Q: Using dA = dx dy, set-up the double integral that will find the volume of a solid bounded by z = 1…

A: We need to setup integral.

Q: Evaluate the following integrals 2x ·S- -dx 2 5+2x+x

A: We know that ∫duu = lnu+C ∫1v2+a2dv = 1a·tan-1va+C

Q: 2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is…

A: s(t)=t3-6t2+9t+4   position when instance change direction means v=0…

Q: group of management students are creating a business plan for oposed shoe brand SoleSearching. The…

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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: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2/ = 4…

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Q: Analyze and sketch the graph of the function. Determine the critical numbers, inter- vals for which…

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

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Q: PLEASE SHOW COMPLETE SOLUTION.   Find each of the two areas bounded by the curves y = x^3 − 4x and…

A: Follow the procedure given below.

Q: 6 r5 So f5x dy dx X 1

A: