A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all points (x, y) satisfying the inequalities 0

Q: Evaluate / 9 +2. 3" dæ. 3" –1

A: We can evaluate the integral as below.

Q: Activity 2: Apply the different theorems four sin 7x 1. lim tan x 2. lim x0 2x 3. lim (cos x - 55*) ...

A: As per our guidelines we are supposed to answer only3 subparts of a question please repost other que...

Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

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Q: Derive the function Cos

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Q: 3. Use cylindrical shells to find the volume of the solid eenerated when the shaded region is revolv...

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Q: Find the volume of the solid whose base is the semicircle y = V4 – x2 where -2 < x < 2 and the cross...

A: Explained below 

Q: At what point do the curves r (t) = (t, 2 – t, 24 + t²) and r2(s) = (6 – s, s – 4, s?) intersect? %3...

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Q: fo-Vin° e+2 ln² e+ln@ de

A: Here we have to solve the given Integral.

Q: Given the angles a, B where 0 < a, B < - which of the statements is TRUE? 4 O The angle a+B is in QI...

A: Topic = Trigonometry

Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = 2x – x² and y = 0 abo...

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Q: y = x? + C,x + C2e¬*

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Q: y′ =x+1/y4+1 when x = 0, y = 0, Find the general and particular soln.

A: Given: y'=x+1y4+1   Use the variable-separable method to solve the given differential equation. Now,...

Q: Identify the level curve of the graph of the function 14x + 14y - 10 14x? + 14y? - f(x,y) = correspo...

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: We can find the rate of change of base wrt time as below

Q: Use integration by parts to evaluate the integral. sin(In(5x))dx

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Q: puc Find the interval where f'Ex) is concave up Xてーカ = (X) t

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Q: Find the value of a . lim,2 sin a(x-2) 3 2-2

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Q: Students want to clean classrooms. The amount of time (t) it will take to clean varies directly with...

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Q: y' + y = x4 Your answer Solve the differential equation with appropriate method. Express final answe...

A: I am attaching image so that you understand each and every step.

Q: 97 +2. 37 dr. Evaluate 3* – 1

A: The given integral is: I=∫9x+2·3x3x-1dx

Q: x²y' + xy = 2 + x²

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Q: 30. A growing raindrop Suppose that a drop of mist is a perfect sphere and that, through condensatio...

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Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

A: To solve the equation for L, 

Q: et* +2e* e* +1 xp -

A: Topic = Integration

Q: Write a full soultion Let consider the following function: f (x) = 2(x + 1)^2 −8. a) Find the doma...

A: We have to find domain and range 

Q: Find the General Solution 1. x(x2+1)y' +2y = (x2+1)3

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Which of the following statements is true about the equation of an ellipse that satisfies the follow...

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Q: OVIS lhigaimad goinisab A awordz n El 2nibs to s(t) milov ad sd osvig 2000 W x(t)

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Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: 4. Find the exact arc length over the interval. a. x= from x = 2 to x = 3 16x2

A: Solution: 4 (a)   y= x6+816x2  from x=2 to x=3

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

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Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by th...

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Q: 1. Where is the Receiver? You are designing a satellite receiving dish. At what point should you pla...

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: coshi +eoshm' ") sinhmdm

A: For the solution follow the next step.

Q: A function F is an antiderivative of the function f if F'(x) = %3D for all x in the domain of f.

A: We have to solve given Questions.

Q: A spring has a rest length of 13 inches and the spring constant is K = 1.5. spring Haw much work is ...

A: Given query is to find the workdone to stretch the spring form 17 inch to 21 inch.

Q: In using the technique of integration by parts, you must carefully choose which expression is u. For...

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Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: (D² + 3D + 2)y = 12x²

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Q: x+1 dx

A: We need to integrate∫x3+1xdx

Q: 2 y² 1 %3D 2.

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Q: For the following exercises, find the exact area of the region bounded by the given equations if pos...

A: Area between curves x2=y3 and x=3y

Q: For the following exercises, use the vertex (h, k) and a point on the graph (x, y) to find the gener...

A: 46. h,k=-2,-1, x,y=-4,348. h,k=2,3, x,y=5,12

Q: Calculate the integral of 43) °dx.

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Q: d Az3+7z+8, -4z3. dz d 3. (x)(3x² – 9) 2.

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Q: y = cx + c2 + 1 y2 = 4ax 4ах %3D y = C1e* + C2e¬* -x %3D

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Q: Let ​f(x)=6x−2​, ​g(x)=x2+2​, and ​h(x)=x+26. Evaluate the expression ​(f◦g◦​h)(4​).

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

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