dx Consider ·S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z.

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: Using Rationalizing Substitution a=4, b = 9 a = 8,b=27 a=64, b= 729 a=2, b=3 729 S 64 dx √x - √√x =…

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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: The graph of y=sin(x) is reflected first in the line x = π and then in the line y=2. The resulting…

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Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

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Q: Pleaase help me in my subject Calculus   The volume for solid revolution between the curves y =…

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

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Q: Evaluate z' if z = [1 + (x² − 1)³] ²³ O a. 2(2²-1)² (1+(2²_1)²³) i O b. none of these О с 41(2²-1)²…

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Q: e circular disk method is to be used to compute for the volume of the solid gene revolving the…

A: Top:- application of integration

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

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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: Determine the graph of the area between the curves bounded by y = -x² + 1 and x=y A B C D

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Q: f(x) = x³, y = 1, x=1 Find the volume of the solid obtained by rotating the region B about the…

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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: (1) Determine what comes next in the given pattern and provide solution/explanation: -7,2, 11, 20,.

A: The given pattern,-7,2,11,20,....

Q: 5 Given cos(8): and the terminal side of 8 lies on the fourth quadrant. What is the value of…

A: Given problem:- Given cos(θ)= and the terminal side of e lies on the fourth quadrant. What is the…

Q: Decide from the graph whether each limit exists. If a limit exists, estimate its value. lim F(x) lim…

A: We have to find the limit

Q: Find the area bounded by the curve x = y^2 + 2y and the line x = 4.   *Draw/Plot the diagram for…

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Q: If there are 150 bacteria after 2 hours and 900 bacteria after 6 hours, how many bacteria were…

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Q: f(x) = x³, y = 1, x = 1

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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: 5. Find the partial derivatives with respect to x of the function: xy² - 5y +6 a. y²-5 b. y² C. xy -…

A: We have to solve partial derivative with respect to x As per Bartleby  guidelines we have to 1…

Q: 3. 5. -4 क्य 4. Vo. X= ++ x = -3 2 * 20

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Q: A producer has determined that the revenue generated from the production and sale of x units of a…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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

Q: Sean Marley Tapulayan Active Now 1-cos 2 cos² (1) sin²() cos² (7) sin² (22) K Simplify: A B c) cos D…

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Q: what is half of 3 and how

A: We can solve this as follows:

Q: Using Rationalizing Substitution [√x + 1 dx = y² + 4y + 4in(y-1) + C. express the final answer in…

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Q: If w = 2x² + 2y + 2z+ cost and x+y=t, find the partial derivatives below. G. (22) X.X C. a. (W) b.…

A: Note : As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…

Q: -2 What is the value of the definite integral e* dx? -4

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Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

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Q: Which of the following is true? * f (x, y) = x³ - 2xy + 3y² fx = 3x² - 2y + y³; fy = 6x Option 1 f =…

A: The given function is;  f(x,y)=x3-2xy+3y2.

Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

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Q: Evaluate the following integral 1. y4+2y²-1 √y dy; y to 2. f(−4t + 12) (5t +15)dt

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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: If you evaluate the integral expression |2x - 3|dx the result is Blank 1 (use fraction or decimal in…

A: Topic:- application of integration

Q: A helicopter takes off at an initial (ground) velocity of 175 km/h toward the west, climbing at an…

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Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ bounded by y=sin…

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Q: 6. Find the integrating factor, I of the linear differential equation dy dx A. -x²y B. C. D. e-x²…

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Q: 6. Evaluate * d'y day dx5 + dx4 y = (C₁+C₂ + С3) ex +С4е²x +C5e-³x - 6 d³ y = 0 dx³ y = C₁+C₂x +…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x

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Q: Evaluate the given integrals. Please Show the complete solution. Then identify the u, du, and other…

A: hhh

Q: The tangent line to the curve at the point (1,2) also passes through the d²y point (-1,4). If at any…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x+ 1 y=0, and x = 2 9π…

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Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

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Q: the following simultaneous complete differential equations: dz/dx + z = 2ex   (1) dy/dx - z = 0…

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Q: Find the area of the plane region, 0≤x≤ π²-4 S.U. 4 1.111 s.u. 1 s.u. 2 S.U. bounded by y=sin X. X =…

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

Q: A train is starting at noon travels north at 40mph. Another train starting from the same point at 2…

A: Let's find speed of trains at 3 pm.

Q: d'y day + dx5 dx4 y = (C₁+C₂ + С3) ex +C4e²x+C5e-3x y = Cıe2* +Czxe-3x +C3е* + С4е* + С5е* OA) Ō d³…

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Q: Evaluate the given limit of the following: lim (et + t)¹/t t-0+

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