The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3 sq units

Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

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Q: 6. Set up integrals to compute the arc lengths of the curves y = r², y = 26, y = x¹⁰ defined for z…

A: Let's find arc length of given curves on interval [0,1].

Q: TT ind the area of the plane region, 0≤x≤. ≤ bounded by y=sin X₁ X=- 2 O1s.u. 1.111 s.u. S.U. 2 О…

A: We have to find out the area

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: 81-2 da Evaluate the integral: √√81 (A) Which trig substitution is correct for this integral? Ox = 9…

A: Solve the following

Q: The rate of depreciation of a building is given by D'(t) = 2000(10 - t) dollars per year, 0 ≤ t ≤…

A: solution:-(a) according to the given graph the total depreciation of the building over fitst 5 years…

Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

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Q: differentiate y = ln(lntanx)

A: y=ln(lntanx) We know that, ddx(lnx)=1x

Q: dx √x-3√x X ffv)dy, find fly)

A: solution:-∫64729dxx-x3dx=∫64729dxx12-x13dxlet x=y6 or y=x1/6x=64,     y=641/6=2x=729,…

Q: Find all solutions to cos(70) cos(p) = sin(40) on 0 ≤ ø Give your answers as a list separated by…

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Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (-x² + 3x + 4)dx…

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Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

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Q: Find the Cartesian form of the polar equation r = −6 sin θ

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Q: HICI IL X ot N xu[(x-+)-C

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Q: 1. Find the height of a circular cylinder of maximum volume, which can be inscribed in a sphere of…

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: answer is in next step

Q: If f(w) = e f'(w) = sin w+ 4 cos w find f'(w). Use exact values. J

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Q: (5) Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

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Q: 3. Let R(t) = (t², 1-t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Here, R→(t)=t2,1-t2,t, r(t)=cos t So, F→(t)=R→∘r(t)⇒F→(t)=R→(cos t)⇒F→(t)=cos2t,1-cos2t,cos…

Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

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Q: The shaded region in Figure 2 is bounded by the curve y=8-x², lines y=7x and y=2x. Set up the…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: The given function,       3x2+y3=2y2-x3y

Q: The formula for solving for the area in the first quadrant bounded by y = x², the circle x² + y² =…

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: How can the shares be divided among 30 people when the total amount is 6 million and how much is the…

A: Solution: Total Amount = 6 million Total people = 30

Q: The graph of f(0) = -2cos(10) the graph of the function f(0) = 4-2 cos A 2π units to the left; 4…

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

Q: 2. dy axta¹ x-In√x²t)

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Q: If f(x) f'(2) = [name] cos – 6 tan ™, then

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Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: 2(2x² + y²) dx - xydy = 0

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Q: S If y = arcsin(e?z), dy dr w

A: Solution is here

Q: A+B+C =0

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Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: 3- Determine f"(x).. F(x)= cosx cotx

A: This question is related to differentiation, We will solve it using given information.

Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on…

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Q: 8 S[+ +6e² dx = +C

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Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: Evaluate the integral of the following: y4+2y²-1 dy;y #0 a. √y b. J(-4t + 12) (5t + 15)dt 4+e²z-ez…

A: In this question, we need to evaluate the given integrals. Note : According to bartleby guidelines,…

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: Determine the derivative of the follow of paper, assuming that it is differen 5. x+y³ = 2c(xy4)

A: x+y^3=2c(x y^4) differnetiatiate with respect to x

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

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Q: Consider dx x1/2 + x2/3 Find the integrand in terms of z. A [62²dz 1+z² B none of the choices 6 z5…

A: Using rationalizing substitution

Q: The volume of the solid generated by revolving the region bounded by y = 2x - x² and (5a+1)π y = 0…

A: Volume

Q: 14 Lys 9 -25+ dy = Vy

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Q: mula for calculating the magnitude of an earthquake is M = -210g (E) that uses the common 10)…

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Q: ngth of 45 cm. How much work is needed to stretch the spr

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Q: Find f'(-1) for f(x) = 2x, Express in exact form?

A: Given query is to find the derivative at indicated point.