Solve the differential equation (D3 + 7D2 + 19D + 13)y = 0 When x=0, y=0, y'=2, y"=-12, find y ()

Q: Determine the volume of a solid produced by rotating about the line y=14.9 the region bounded by the...

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Q: H.W. 2. Find the arc length of the curve x4 from x-2 to x=D3 . Find the arc length of the curve y = ...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: 2. y"-7y'=(2x-1)sin 2x

A: Given,y" - 7y' = (2x-1) sin2xNow substituting the value:y" = D2yy' = DyD2y - 7Dy = (2x-1) sin2xD2y -...

Q: 3. What is the derivative of y = evaluate the derivative at x = 0, and you are given that g(0) f(1) ...

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Q: Consider the differential equation = kpl + c dt where k > 0 and c 2 0. In Section 3.1 we saw that in...

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 9. 13 17 | 21 2...

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Q: For each statement, indicate if it is True or False. Assume x and y represent positive values. v log...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: For the given composite function, identify the inner function, u = g(x), and the outer function, y =...

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Q: (a) Find the velocity of the particle at time t. s'(t) = (b) When is the velocity 0? (Use n as the a...

A: Follow the procedure given below. 

Q: The following illustration shows the graph of f'(x). On what interval(s) is f"(x) < 0? 4 2- -2 -2 a....

A: topic - functions and derivatives

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 20 integral ...

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Q: dy dt II

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Q: 1 ER=1 (- 100 k%3D1 2k+1

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Q: Solve for x. 8e^(-7x)=2

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Q: A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline...

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Q: Shown above is a slope field for which of the following differential equations? dy A dæ B dy = y – 1...

A: Follow the procedure given below.

Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform th...

Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

A: To find out the equation d-1(y).

Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: Given cost and price (demand) functions C(q) = 110q + 44,900 and p(q) = - 1.9q + 880, what profit ca...

A: The given data is: Cq=110q+44,900pq=-1.9q+880  To what profit can the company earn by selling 55 ite...

Q: Find the mass of the triangular region with vertices (0, 0), (5, 0), and (0, 6), with density functi...

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Q: 5 Use Simpson's rule with n = 4 to approximate In(5) 1 dr. %3D %3D 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0...

A: We will find the required value by simpson 1/3 rule for n=4.

Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution. 

Q: soWE THE DIFFERENTAL FQNATUON Zydx-(3xy°dx - xdy =0) %3D when x= 2 ,y=2

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Q: A graphing calculator is recommended. Let f(x) = x5 – x². (a) Find f'(x). f'(x) = (b) Check to see t...

A: topic - functions and derivatives

Q: A TV camera is situated 100 m from the site of the Endeavour launch The rocket's elevation t seconds...

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Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy i...

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Q: Which of the following is equivalent to sin 0 csc 0 sec 0 for all values of 0 for which sin 0 csc 0 ...

A: To find the equivalent form of the given expression apply the following formulas.

Q: C(x) = 15000 + 500x. (A) Find the average cost per motorcycle if 500 frames are produced. Ave. cost ...

A: we have givenC(x) = 15000+500xwhere x is number of frames 

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (3Vsin (7x...

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Q: 27. y y- 1. (2. 1) (hyperbola)

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Q: x² + y = (2x² + 2y² – x)°, (0, 3) (cardioid)

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Q: to

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Q: (1+cos a)(1-cos a) (1+cos a)(1–cos a) Which of the following is equivalent to for all values of a fo...

A: let x =1+cosα1-cosαsin3αwkt (a+b)(a-b) = a2-b2sin2α+cos2α = 1 (trignometric identity)

Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

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Q: Evaluate the following limits. lim 3 A. 1. 2. lim 3" 3. lim 4* 4. lim 5 x+00

A: Let's find. 

Q: 4. At Grande Anse Beach the height of the water in metres is hA modelled by the function h(t) = pcos...

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Q: The linear density of a rod of length 4 m is given by p(x) = 10 + 5/x measured in kilograms per mete...

A: NOTE: Refresh your page if you can't see any equations. . the density function is  and the length o...

Q: Evaluate the value of the function at the given value of x. Show work. 15. y = (4x2 – 1)³ at x = 1 1...

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Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5 ...

Q: 6. lim (0.2)

A: As per bartleby guidelines we only give first question answers. 

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: A firm manufactures a product that sells for $20per unit we have a cost per unit is $12 and fixed co...

A: topic - functions

Q: + x. Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 ...

A: NOTE: Refresh your page if you can't see any equations. . take derivative so the slope of the ta...

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: Explained below 

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

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Q: Find the slope of the curve r=7-cos(theta) at theta=9pi/4.

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

Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

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