(x²-1)y" + 2y' - (x - 1)(x + 1)² = 0

Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at a given point in a unit direction.

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

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Q: 8. Assume that f(x) g(x) and table. Use the following table to calculate the following derivative. 2…

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Q: Find the equation of a straight line perpendicular to the tangent line of the parabola y=x2+1 at x =…

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Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: 9y''+12y'+29y=0which condition y(2)=8, y'(2)=9To Find: y(t)

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The equation is given as , y=49-x2y=x+7 find the area of the region.

Q: ve the separable differential e C 1 = x² + t d find the particular solution sa 0) = = - 2.

A: topic;- application of integration

Q: he acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

A: topic:- application of integration

Q: 3Q Express each vector as a product of its length and directions i. 2i+j-2k ii. 3/51+4/5k iii.…

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Q: A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at…

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Q: A charge to rent a saw per day or a fraction of a day Fixed Cost $5 variable cost $10 1 1/3 = 2…

A: We have to find the total cost for 113 days.

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

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Q: Determine if the differential equation (3x2y + ey)dx +(x3 + xey - 2y)dy = 0 is or is not exact; if…

A: Given problem:- Determine if the differential equation (3x2 y + ey )dx +(x3 + xey - 2y)dy = 0 is or…

Q: (y³ − 3y + 2)√9+ x²dx + x²dy = 0

A: To find the general solution to the given differential equation.y3-3y+29+x2 dx+x2 dy=0

Q: . Find the solution of the differential equation. 25y’’-20y’+4y=0 theme: repeated roots; order…

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Q: 3. - 1

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Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

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Q: If 0 = sec (0) csc (0) = 1 -π, enter exact value for each function. 6 = tan (0) cot (0) = __ 0002

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Q: Find the domain of the following rational function. 20x² H(x)= + X O A. x² +2 Select the correct…

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Q: Find y as a function of t if y(t) y" + 2y + 10y = 0, y(0) = 8, y'(0) = 9.

A: The given DE is: y''+2y'+10y=0 The auxiliary equation of the given DE is:…

Q: Determine whether the series n=1 √n 2-√√n converges or diverges using the integral test.

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Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: Q Given_a= b= Find i. 2a + 3b 11. a-2b 111. Jal

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next questions…

Q: Solve the following initial-value problems starting from yo 4. dy dt A. - 3y y = = At what time does…

A: In this question, we will solve the given initial value problem then solve the second part of it.

Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

A: Solve the following

Q: Find the minimum and maximum values of the function on the given interval by comparing values at the…

A: Given  y = x3-24 lnx+7,  12, 3.

Q: Use the figure to find the exact value of the following trigonometric function. tan (20) tan (20) =…

A: We can find tan(2 theta) by multiple trigonometric formula.

Q: Find y as a function of t if y(0) = 7, 3/(0) = 6. y(t) = 49y" + 140y + 136y = 0,

A: The given DE is: 49y''+140y'+136y=0 So, the auxiliary equation of it is:…

Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: Test for symmetry with respect to each axis and to the origin. (Select all that apply.) 49 - x² The…

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Let's solve given differential equation.

Q: A baseball is hit at an angle of with the horizontal and with an initial velocity of vo = 119 feet…

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Q: Suppose f(x) is the total number of children that have a disease, and is the number of days since…

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Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: A tree grows at an angle of 3° from the vertical due to prevailing winds. At a point d = 43 meters…

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Q: Use the comparison theorem with f(x) = = 1 √x r∞ 1 •√₂ √I-1 to show that is divergent.

A: Solution is given below:

Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 9) = 1, y = 0, x = (Round the…

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Q: 3. Solve the right triangle with one of the legs 15 and one of the acute angles 31º.

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Q: Find the inflection points of f(x) = 3x4 + 17x³9x² + 4. (Give your answers as a comma separated…

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Q: Solve 11. a), b), c), d)

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Q: 4Q Find the dot product and cross product of following vectors i a= 2i+j a= b=I-j+k b= 11. 111. a=į…

A: To find the dot product and cross product of the given vectors. Note that:…

Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

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Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

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Q: The Laplace transform of a continuous function over the interval [0, ∞o) is defined by F(s) = [ e…

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Q: Solve the initial-value problem for x as a function of t . (2t³ − 2t² + t − 1) 12, x(2) = 0 dx dt =

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Q: Use the graph to find the indicated limits. -10 -5 Find lim f(x) x-3 Find lim f(x) x-3+ Find lim…

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