At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM? km/h

Q: Obtain the general solution of the following differential equations. 5. xydx-(x+3y²)dy = 0 Ans.…

A: The given differential equation is: xy dx-x2+3y2dy=0

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Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

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Q: (b) Find parameters a and b such that the function jodonivi COS X f(x) = if if if x≤ 0 0 3 ax + b x²…

A: Given :

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A: We need to solve D.E.

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Q: Obtain the particular solution satisfying the initial conditions indicated. 3. (y² + xy) dx - x² dy…

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Q: 1. Differentiate: y = √2 - 3x²

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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A: Please see the below picture for detailed solution.

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Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞ and '-INF' for -∞.…

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Q: Sketch a graph of a function f with the following properties. f' 0, for x 0, for -50 and f''>0, for…

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Q: A a

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Q: 3. Evaluate the limit by making a table. Then sketch the graph from your calculator. sin x lim x-0 x…

A: To find:- limx→0sinxx

Q: Find a plane containing the point (-3,6,-4) and the line x (t) = y(t) z(t) = = - 4 - 8t - 6-7t - 2 +…

A: I have solved step by step in detail...go through the solution

Q: Find two unit vectors u such that Duf(1, 2) = 0. Here, f(x, y) = x¹²y³. NOTE: you must enter your…

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Q: K 400 (p+8) For the demand function q = D(p) = - a) Find the equation for elasticity. E(p) = find…

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Q: Find all the first order partial derivatives for the following function. f(x,y,z)=x²y+y²z+xz² O A.…

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Q: Find the values of z, y and that correspond to the critical point of the function f(x, y) = 2z²-1z +…

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Q: Find the intervals on which the graph is concave up and concave down. (Enter your answer using…

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Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² -4 = 0. The extrema are…

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Q: A rectangular swimming pool is to be built with an area of 3200 square feet. The owner wants 5-foot…

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Q: If   C(t)=50te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = x²,…

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Q: Find the exact area of the surface obtaimed by the curre around the x-axis J relating the g= re √6-x…

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Q: 3. For f(x) = x³ - 5x² - 8x + 4,find the followings.

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Q: Show that the lines L₁ : x = 5 – t, y = 2t, z = 1+t and L₂: x = 1+2t, y = 3-4t, z = 5 - 2t are…

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Q: At which points on the curve y = 1 + 40x³ - 3x5 does the tangent line have the largest slope? (x, y)…

A: we need to find out the points on the given curve where the tangent line has largest slope.

Q: A car rental agency has a budget of $3.2 million to purchase at most 120 new cars. The agency will…

A: We can solve it as given below

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: The given region is: D= x,y | 0≤y≤sinπxL, 0≤x≤L  ρ(x,y)=13y

Q: 4. Find dy/dx, where y(x) is an implicit function defined by x² cos y-y² sin x = 0

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Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: volume of the solid formed when the region bounded by y = x and y = = x¹ is rotated about the…

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Q: (P) In(x) dx

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Q: Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square…

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Q: b) Determine the intervals on which fis increasing or decreasing. Then find the local maximum and…

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Q: Two particles start at the origin on the s-axis at time t = 0 s and move along the s- axis. Their…

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Q: Solve this linear programming problem using graphical methods. Restrict x ≥ 0 and y ≥ 0. Minimize g…

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Q: Obtain the particular solution satisfying the initial conditions indicated. 2. (t² − x)dt - tdx = 0;…

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Q: Find r(t) if r(t) = + i + e¹j + 2te²² k and r(0) = i +j+ k. r(t) =

A: integral

Q: Setup and solve an iterated double integral that is equal to the volume of the solid in the first…

A: We have to find volume.

Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )