Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations. x = -y, x = 7y - y² Mx = X My (x, y) =

Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

Q: 2 Suppose that x and y are related by the equation 4x² - 3y² = 5 and use implicit differentiation to…

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Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

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Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

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Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be…

A: Given, The tide depth in Deep cove from 4:00 to 15:00 on January 6, 2011 can be modelled by…

Q: Find the first derivative of y = x (cos(In x) = sin(Inx)) O-2 sin(In x) O sin(In x) O 2 sin (In x) O…

A: derivative

Q: R ABCDE is a pentagon. Let AB = u and AC = v E C D and AB = DC BD = 2AE AC = 2ED a) BD 3. Express…

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Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: 5x - 3 √(x+ - 4x³ + 14x² - 20x + 25) - - dx

A:

Q: 33° 45° 87° 60° 35° 30° Drag each reference angle above to the corresponding angle below. Answers…

A: Given :(1) 93° (2) 215°(3)-150° (4)-60°(5)765°(6) 480°

Q: ate of change of S is directly proportional to S(x), where S(0) = 10 and S(4) = 40 k, the…

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Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: According to question,Given equation,x2 - 5y2 + 26x + 164 = 0

Q: .suppose that the virus was accidentally released on the open fields.it was found out that there are…

A: Given:  there are thirty persons gets infected by the virus every two second.           i.e. 2…

Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

Q: For the next two exercises, determine the Taylor series generated by the function f at x = a.

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Q: 3. Find the quotient and the remainder for (x4 + 8x² − 6x − 3 ) ÷ (x+2).

A: 3. A polynomial p(x) can be written as p(x)=q(x)d(x)+r(x)⇒p(x)d(x)=q(x)+r(x)d(x) Where, d(x) is…

Q: 3. Find the volume generated by revolving the ellipse whose equation is a² x-axis. 4 лab² (Ans. 3 )…

A:

Q: 6. Find all the "zeros" of the function f(x)=x³ − 5 x² + 4x − 20 if you know x=5 is a root of f.

A: See the details solution in below

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in./min.…

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Q: Solve the following differential equations of 1-' 4. (2xy²-2y)dx+(3x²y-4x)dy=0 ( 7

A: The solution is given in the next step.

Q: = Find the direction in which the maximum rate of change occurs for the function f(x, y) the point…

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Q: 04: Find dy/dx for the following function: (2) y = 7csc √2x+3

A: solution is given below

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2,-4), (-2, 6), foci at (-2,-5),…

A: Given,  Vertices: (-2, -4), (-2,6), Foci: (-2, -5), (-2, 7)

Q: Repeated Irreducible Quadratic Factors: Examples Sa++²2a²+1 da

A:

Q: How many possible triangles can be created if mA-. c = 18, and a = 9? ○0 triangles O1 triangle O2…

A: The given data is: m∠A=π6c=18a=9  To find how many possible triangles can be created.

Q: 1 3 Solve the following differential equations of v\dv: (6x²-y+3)dx+(3y²-x-2) dy

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Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: a. In y = dy

A: We have to solve integral

Q: Find the value of x for which the line tangent to the graph of f(x)-7x2+4x-14 is parallel to the…

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Q: Solve the following differential equations of 1 -(- ny) dr. = 0 y J 21 ....... '' ... (y-xy) dx +…

A: Solving using method of seperation of variables

Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: d²y dx² - y = = x - x - 1

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Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

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Q: TC d) x² sinx dx e) ₁x² Inx dx f) so xe dx

A:

Q: A car purchased for $40,000 depreciates exponentially. After one year, the car is valued at $25,000.…

A: We have to find depreciating after 3 years.

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

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Q: The graph of the function y-/x) is below. f(x) X B From largest to smallest, what is the order of…

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Q: Epa is investing $2500 at 6% per annum, with interest compounded continuously. She wants to come up…

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Q: Find the Volume, Surface area and Lateral area of the rectangular prism shown below if the height of…

A: Concept: The volume, surface area, and lateral surface area of the rectangular prism are:…

Q: If f '(4) = 0 and f '(x) 0 for 4 < x < 5 then f has a local minimum at x = 4. True False

A: If f '(4) = 0 and f '(x) &lt; 0 for 0 &lt; x &lt; 4 and f '(x) &gt; 0 for 4 &lt; x &lt; 5 then f has…

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given: B'(t)=0.621t2-1.213t+15.55

Q: Find the volume of the parallelepiped whose edges are represented by: A=2i-3j+4k , B=i+2j-k and C=…

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