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Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: As 'y' is the solution of the differential equation , so it satisfied the given initial conditions.

Q: 2) Suppose that f(x)=x*(1-x) Find the maximizing value of x and what f(x) equals at that x. b) How…

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Q: 2. Are the planes 2x-y-4z = 10 and x - 2y + z = 4 parallel or orthogonal?

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Q: A function is given. f(x) = 7x − 8;    x = 2, x = 3 Determine the net change between the given…

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Q: Which of the following are continuous functions? (Select all that apply.) The temperature at a…

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Q: 5t Find the equation of the tangents to the curve y = sin x at x = 0, л, and . Graph the curve over…

A: Please see the below picture for detailed solution.

Q: =. Sketch the level curves of g(x, y) corresponding level curves for each k. = y-3 at k = -2,0,2 on…

A: Level curve for g(x,y)=y-3x2

Q: ametric equations of the line passing through the points (4, 10, −8) and our answer below: , y =

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Q: 3. f(x) = -2 x+1

A: 3). The given function is: fx=-2x+1 And the expression for the derivative is: f'x=lim∆x→0fx+∆x-fx∆x…

Q: Find the indicated limit given that lim f(x) = 6 and lim g(x) = 3. x-a x→a lim 2f(x) + 5g(x) x→a

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Q: lim. sin(t) t =

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Q: 2-L-¹ [ 6 2S-8 - 3-2S 95²-16 + 8+6S 4 S²+9

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Q: The unit cost, in dollars, to produce bins of cat food is $15 and the fixed cost is $15470. The…

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Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

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Q: A function is given f(t) = 3t2;    t = 4, t = 4 + h Determine the net change between the given…

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Q: x)=(x-7)e - 6x f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.…

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Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: . The population of Bougainville exponential function P(t) = ae use it to calculate when the…

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Q: Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

A: Given planes:- P1:x-y-z=0P2:2x+y-2z=-3

Q: sec² (In x) cos(lnx) x S dx

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Q: please solve   401,411

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the differential equation of families of straight lines with slope and x - intercept equal. a.…

A: To find differential equation with given conditions.

Q: Let f(x,y,z) = x²-tany² 2xyz Solve for fxyz.

A: We need to find fxyz

Q: Which of the following are/is the dependent variable/s of the differential equation. (choose all…

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Q: Determine the differential equation on which the general solution is y=cos(A+Bx). A (1-y2)y"+yy'=0…

A: Topic = Differential equation

Q: Q2/A: Find the Fourier Series of the function : f(x) = X + π_if - π< X < π and f(x+2n) = f(x)

A: Fourier series of a function is given by f(x)=a0+∑n=1∞ancosnπxM+bnsinnπxM    for -M≤x≤M.Where,…

Q: Explain why 3% compounded continuously is better than 3% compounded monthly. O The continuously…

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Q: Which of the equation: Show your A. following is the general solution of the differential X ady - y…

A: The given differential equation is; x3dy - y(x2-y2)dx=0

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x)= 30,000+200x. (A) Find the…

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Q: 3. For the curve y = x³ + 2x² + 4,Solve the equation of the normal line at point (-3,-5)

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

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Q: lim X→ +∞o (√9x² -5x+1 +3x

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Q: The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are…

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Q: 5. A culture contains some bacteria, with the population increasing exponentially. The culture…

A: Let's find bacteria function.

Q: Find values of cl and c2 so that the given functions will satisfy the prescribed initial conditions.…

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Q: The graph of a population P(t) of squirrels is shown. Identify the discontinuities of P. t = P 30 29…

A: We have given graph of population P(t) of squirrels. From given graph  discontinuities of P is given…

Q: in step one is it f(n) or f(x) i cant tell your hand writing

A: To write down that it is f(x) or f(n).

Q: X x + 5 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

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Q: 1) Suppose U(x,y)=4x²+3y²+x0.5y0.5 a) Calculate the partial derivatives of U with respect to x and…

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Q: If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is…

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Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

A: Topic- Exponential growth model  we are given points of a exponential function as h(1)=11.8…

Q: 6. f10e* √1+2e¹dx

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Q: Graph f(x) using the graphing utility. f(x) = y -0.5- 2 + C x powered by desmos What are the…

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Q: Find a cubic function y = ax^3 + bx^2 + cx + d whose graph has horizontal tangents at the points…

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Q: Given the function f(x):  f(x)= x^2 + 1 , − 1 ≤ x < 0          2x− 1 , 0 < x < 1          1 , x = 1…

A: Given the function f(x): f(x)= x^2 + 1 , − 1 ≤ x &lt; 0         2x− 1 , 0 &lt; x &lt; 1         1 ,…

Q: Find the solution of the differential equation (x + 3y)dx − xdy = 0. a. 2y - x = Cx³ b. 2y + x = Cx³…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: Consider the equation x + 2a of the given equation? O O x= O x= P= 5a b 4 11a-b 4 b-11a 4 b-5a 4…

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Q: The cost, in dollars, to produce a designer dog leashes is C(x) in dollars per leash, is p(x) = 117…

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