The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) TL O (26/3) T O (1372/9) O (248/9) m 6 and x = = 2y

Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

A: We have to solve differential equation

Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

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: 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: dentify the graph _____ A. hyperboloid of one sheet parallel to x-axis B. hyperboloid of 2 sheets…

A: answer is in next step. please give a like !!

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: s 4+e 22 Im ez جامع dz

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Q: dx Using Rationalizing Substitution - =ff(v)dy, find [flv)dy X√x-1 O In(y) + C O Arctan(y) + C…

A: The given integral,      ∫dxxx-1

Q: Evaluate the iterated integrals. 2 yz b. So So So xyz dx dy dz Jo 0 0

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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: If w = 2x² - 2y + 3z + sint and x-y=t, find the partial derivatives below. aw a. (3) X.2 c. (H) b.…

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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: (x-3)² (y-4)² - + 16 196 = 1

A: Given query is to find the conic form.

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: Evaluate the given limit of the following: z¹-z²-2z+2 lim Z-1 28-2z¹+1

A: Let's evaluate given limit.

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

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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: 1 4. Differentiate (x² + 2)/²/2

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Q: Problem. Suppose you are having a dinner party for a large group of people, and you decide to make 2…

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Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Using Rationalizing Substitution 729 57² 64 dx √√x-3√x = 5° K f(y)dy, find the new limits of…

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Q: Let h(z) tan(5x + 5). Then h' (2) is and h'' (2) is

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

A: fristly given curve are simplyfy and diagram curve then use for shell method

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

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Q: The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: Given

Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

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

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Q: what is half of 3 and how

A: We can solve this as follows:

Q: anufacturing budgeted $60,000 per mont for lab rials. If $x is spent on labor and Sy is spent on…

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

A: We have to find volume about y=-1

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: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: Here to find the velocity and speed we have to derivate the function s=f(t).

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

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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: he equation of this tangent line can be written in the form y = mx + b where ?= nd b =

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Q: 1³ csc x - sinx 5 sin x -dx

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

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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: Find the indefinite integral. 1 dx 3 (x²+9) 2 a. b. C. d. x² 9√x²+9 +C +C 9√√x² +9 x 9√√x² +9 x² +C…

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Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis is equal to…

A: We have to find the value of a and b.

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: w Dy ),-0 7 By b. Əw əz C. aw əz

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Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

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Q: cular el trabajo cula hasta el punto 4,7,5). Si la magnitud y dirección de la fuerza están dados por…

A: Given p =(0,0,0) andQ=(4,7,5) Then PQ= < 4,7,5> also force F is given. F =<1,4,8>

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: Find an equation of the curve. The tangent line to the curve at the point (1,2) also passes through…

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Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Volume

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: A trough is filled with a liquid of density 8232 N/m3. The ends of the trough are equilateral…

A: Given that ,              density of the liquid ρ = 8232 N/m3                          side of…

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

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