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Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A: A  force 540 Newton stretches 3 meters .a mass of 45 kg  is atteched to the end of the spring and is…

Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. x = eu sin v, y = eu cos…

A: To find the jacobian.

Q: Sketch the region R whose area is given by the iterated integral. L1²5-1² dx dy

A:

Q: find X so that the net present worth of the investment is zero

A: answer is given in step2

Q: Tutorial Exercise Consider the differential equation x²6xy +10y=0; x², x5, (0,00). Verify that the…

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Q: Determine whether the vector field is conservative. F(x, y) = (7y - x²)i + (7x + y)j conservative…

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Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: Let f(x) 4x + 25 if x - 5 if x = -5 2 Select all statements below that you agree with. Note: You…

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Q: Find the general solution of the given second-order differential equation. 25y" - 15y' - 4y = 0…

A:

Q: Find the composite functions (f. g) and (g°f). What is the domain of each composite function? domain…

A: Given: fx=x6gx=x6

Q: =S • I = dx (x²+9²)² 2 ans ? tr 493

A: This is a problem related to integral solving using residual theorem. Please follow the procedure…

Q: So if I write the position vector r(t)=OP=, is it correct? or does it has to be r(t)=<x,y,z

A: Solution is here

Q: -. Let R be the region bounded by the graphs of the equations y = ln x, y=0 for 1≤x≤e. Set up…

A: A detailed solution is given below.

Q: As shown below, one of the sides has length x (in meters). Side along river (a) Find a function that…

A:

Q: Find the curve of best fit of the type y = aebx to the following data by the method of least…

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Q: 000 is budgeted for production of the product, determine how that amo ion will be maximized when…

A: We are asked to find the maximize the profit

Q: Let f g and h be the functions defined below i. 11. f(x) = 5¹ = 10x₁ (²² = 4) g(x) = log5 h(x) = 6 x…

A:

Q: Find the domain of the function. 7 |x²-161 g(x)

A: Domain : It is the set of all real numbers for which the equation is defined.

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given: f(x)=1+3x-5x3

Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. 8u, y = uv x = UV a(x, y)…

A: Given,            x=uv-8u , y=uvTo find : Find the Jacobian ∂x,y∂u,v for the indicated change of…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Use the equation Σ x" for [x] < n=0 (Express numbers in exact form. Use symbol 6 1 - x4 Σ 1 1-x Σ…

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Q: The population density of a city is approximated by the model f(x, y) = 2000e-0.01(x² + y²), x² + y²…

A: This is a problem related to double integration. Please follow the general procedure given below.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Exercise (c) Use the results of part (b) to estimate the slope of the tangent line to the graph of…

A: Given.

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e - 3 y(x) =

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Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: 9 (4) Giver Sifon dx = 37 g(x) dx = 16 So Find S (2 f5r1 + 3 ger)) f(x) dx and

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Q: Determine whether the vector field is conservative. F(x, y) = 6y6(yi + 7xj) conservative not…

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Q: Examine the function for relative extrema and saddle points. (If an answer does not exist, enter…

A:

Q: Evaluate the iterated integral. 2 . (x+y+z) dx dz dy

A: The given integral is: I=∫02∫08∫01x+y+zdxdzdy   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 12ex - 12 y(x) =

A: See  the details solution in below

Q: Use Green's Theorem to evaluate the line integral Icov for the given path. (y-x) dx + (2x - y) dy C:…

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Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

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Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: Find all x-intercepts and y-intercepts of the graph of the function. 2 f(x)=1³-1²-9x+9 If there is…

A: We will solve.

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

A: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

Q: Given f(x) = 2x² and g(x) = 4x + 5, evaluate each expression. (a) f(g(0)) (b) r(s()) (c) g(f(0)) (d)…

A: topic- composite functions Note: As per bartleby guidelines, we are supposed to answer only first…

Q: I'm not sure how ti find the position vector. Could you please give me some instructions? Thank you.

A:

Q: (a) Area = ſ dx dy (b) Area = = [[ JJ dy dy dx

A: Follow the procedure given below.

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 60y + 90z =…

A: Let us know thatWe are aware of the parallel nature of the two lines with direction ratios A1, B1,…

Q: ven the vectors and w V (0,0) -5 -4 Q a) Sketch the vector 20 6 A -5 -4 -3 -2 -1 5 4 3 2 -1 V -2 -3…

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Q: Which of the following is a power series representation of f(x) f(x) = Σ(-1)". n=0 8 x2n f(x) = Σ 16…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: We will solve.

Q: Consider the function. X 10/17 - 12/24 5 Find Duf(7, 1), where u = cos(0)i + sin(0)j. f(x, y) = 8

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Q: At the beginning of an experiment, a scientist has 160 grams of radioactive goo. After 90 minutes,…

A: topic- exponential function