4. (9% +3³ +2²) dx 5. J 10% dx (10% +1) 6. f2x(ex+1-2²) dx

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² -…

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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: 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: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

Q: 0 sinx + 2cosx dx

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Q: 3. A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: lim (sech 2x) csch x² +0x f(x) = csch x

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

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Q: True

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Q: Definition of first order, explicit ODE and the definition of it s solution.

A: Solution

Q: Find the area bounded by the curve y = coshx and the x- axis from x = 0 to x = 1. a. 11.75 sq. units…

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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: Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Answer

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Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

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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: Calculate the amount of money Cynthia had to deposit in an investment fund growing at an interest…

A: To find out the amount of money that Cynthia has to deposit.

Q: Perform the integration. 3 ² (13* - 11 + 13x − 31) dx - 0

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

A: A detailed solution is given below.

Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

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

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Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

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

A: A detailed solution is given below.

Q: The function defined by y=√-² has as its graph a semicircle of radius r with center at (0.0) (as…

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Q: answer a and b a. The marginal cost of manufacturing x tarpaulins is given by 0.03x2 + 0.4x + 7. If…

A: Explanation of the answer is as follows

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

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Q: Stan5 x sec³ x dx

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Q: e e (lnx)³ dx X

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

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = 3x - x^3,…

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)=pi/6. 1…

A: We use the concept of exact differential equations to find the general solution to given…

Q: Choose the correct answer.   By definition, we call a function differentiable at a closed interval…

A: Let's solve.

Q: lim (tan x)(sin x−1) + TU x-2

A: lim     (tanx)(sinx -1) x -->π/2 here we can direct put limit  because we can apply limit

Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: Find the are a of the region bounded by the given 1) sketch the area, ii) Determine the boundaries a…

A: This question can be solved using the concept of area under curves.

Q: I can't understand your solution.

A: Let's solve given integral.

Q: - 4. Find the area bounded by y = x - x² and y = x(x − 2)(x+2).

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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: 2. 0 sec³ x tan x √2+ sec x dx

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Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x = 0 and x…

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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: Find the area bounded by a parabola and any right chord (use the parabola y^2 =4ax, chord x = x…

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Q: Question 2 A piecewise function is defined as f(t) = {2t²-4 3 0 ≤t<5 t25 i. Sketch the graph of…

A: Explanation of the answer is as follows

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

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Q: 1 So 2t en + e-2t ezt - e-at dt

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Q: २ -2 el dy ely +2 e. 2

A: To integrate.

Q: 5x² S -dx 2. ex

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Q: Find the area bounded by the curve 2x² + 4x + y − 0 and the line y + x = 0 a. 1.000 b. 1.125 c.…

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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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