C004Exp Tweig √2 x, y = 0, and The base of a solid is the region bounded by y x = 4. If every cross section (slice) perpendicular to the x-axis is a semicircle with its diameter across the base, then find the volume V of this solid.

Q: Solve the following differential equation

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given that; Total surface area of am open cylinder is 27pi cm^3. Radius r cm.

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Q: Suppose that f: R (0, ∞) and that f'(x) = f(x) ‡ 0. Prove that (f-¹)(x) = 1/x for x > 0.

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Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: Let's find time taken 1/2 the original amount of radium to decompose.

Q: T T Find the area of the region bounded above by y=11 cos x and below by y=2 secx, - Sxs square…

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Q: Evaluate each of the following line integrals. Jc [(3x² - 3yz + 2xz)dx + (3y² - 3xz + z²)dy+ (3z² −…

A: Solved below.

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A: In this question, we have given the values of x and y in the form of the variable t and we want to…

Q: y=Arccos (x²)

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

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

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Q: A certain tank of depth 10 ft is a surface of revolution formed by rotating y = x² about its axis.…

A: Given : tank depth = 10ft And eqn y=x^2 Find work done?  Formula used : work done = mgh

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Q: The triple integral ¹²-x² √4x²-y x dzdydx is equal to 0.33 0.08 None of them O

A: Let's evaluate given triple integral.

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A: evaluate the limit limx→01+x-1-xx

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Q: Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: lim x²e-x x →∞

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Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. lim…

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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A: Find out the solution.

Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

A: Note: Unit of temperature °FTs1=Outdoor temp or surorunding temp 1          = 15°FTo=Thermometer…

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Q: Evaluate the iterated integral by converting to polar coordinates. 2x - x² [²√²-2² 9√ x² + y² dy dx…

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: Consider the function f(x) = x−2 (x^2−x+1)^2 Find a)  The intervals on which f is increasing. b)…

A: This is a problem related to function calculation. Based on the general formula and concept we will…

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Q: 3. An equation of line tangent to a curve at the point (1,3) is y = 2 + x. If at any = 6x, find an…

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Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: Given two lines in space, either they are parallel, they intersect, or they are skew (lie in…

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Q: f(x)=√x+1and g(x)=x²+1. 1. Find the area of the region bounded by the given curves.

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Q: Sx [x²cox dx U. V x² Sax - S(α (x²) [ cond) dx dx x² (sinx) - -S 2x Sinx dx U. V. x² sinx - [2x…

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Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: Find x-3) 2/2 lim 1+x0x+ O limit does not exist O e^-2 O e^-4 0-2 O-4 O Other:

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! Topic: Differential Equations Initially 100 mg of a…

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Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

Q: 6. Find a²z дгу of z = In(xy)

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Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

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Q: 3. The auxiliary equation of the differential equation (D² - 6D+9)y = 0 falls under Prove your…

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