Use substitute method to solve the two system ec -= x - 4y (1) dx #1: dt dy -= x+y (2) dt

Q: Fill in the blank. The symbol C, represents a constant. Write this result as a linear first-order…

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Q: . Find a particular solution Y(t) of y"" — 2y" − y′ + 2y = e²t

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Q: a. Find f'(x) for: f(x) = (5x + 2)/(x^2 + 2x - 2) b. Find the derivative of the tangent line at x =…

A: Quotient Rule of Differentiation : ddx(uv) = v.dudx-u.dvdxv2.

Q: Write the equation in its equivalent logarithmic form. 8³=512 What is the equivalent logarithmic…

A: See this solution in below.

Q: For the equation given below, find 3 x³y2-3 r2y = 5 dy dx

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Q: A particle moves with position function. st44t³ 36t² + 25t, (a) At what time does the particle have…

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Q: tanh x = 12/13, find the values of the other hyperbolic functions at x.  *please use hand writing…

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Q: 1. The additive inverse of -10 = 2. Let DC R. xois an point of D, if each E-neighborhood K. (xo) of…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) = 6x +9y 2x - 4y

A: The function is given by fx, y = 6x+9y2x-4y To determine: The expressions of the partial derivatives…

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. du =

A: Given query is to find integral converging or diverging.

Q: **************** A rectangular poster is to contain 800 square centimeters of print. The margins at…

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Q: Assuming the original 10 organisms grew exponentially, doubling in size with every unit of time,…

A: Given that original 10 organisms grew exponentially, doubling in size with every unit of time,…

Q: 6. Consider the function f(x) = ln(x + 2) - 2 arctan(x) a. Find all critical points in the domain…

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Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: dy Find for the function y = 11*.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

A: Given data:- fx, y = 2xy4-x2y

Q: The monthly demand function for a product sold by a monopoly is p = 2,100 -² dollars, and the…

A: Concept: The revenue function is given by  R(x)=x×demand function The cost function is given by…

Q: 7. Determine the following general antiderivatives. [3x (x²-5)³ dx a.

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Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

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Q: To evaluate 26 sin(x) da we can apply integration by parts x6 times. We set u = on the first…

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Q: Evaluate the integral. S dx √25x². =, XX X> 25x - 49 75

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

Q: Find all points (x,y) on the graph of y = X X-4 with tangent lines perpendicular to the line y = 4x…

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Q: Consider the integral 5 Š x√x If the integral is divergent, type an upper-case "D". Otherwise,…

A: NOTE: Refresh your page if you can't see any equations. . here the function is

Q: For y = 88√x, find dy, given x= 4 and Ax=dx=0.22. dy= (Simplify your answer.)

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Q: 3. Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

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Q: Physics shows that when an object is thrown upward with an initial velocity of up, then its…

A: Given  height of building h = 15  and initial velocity v0=2.8 m/sec

Q: tan( e + 4 ln(z))

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Q: Two runners are in a 16-mile race. Runner A runs at a constant speed of 8 miles per hour, while…

A: Topic- Mean value theorem We are given, distance of a race= 16 mile speed of runner A=8 miles per…

Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - 囡囡

A: Concept: The formula of tan(a-b) is tana-b=tana-tanb1-tan(a)tan(b)

Q: Find the first and second derivatives. ds r= 2s d²r ds 6 4 5s

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Q: and the first three nonzero terms of the Taylor series for sin a centered a se the nonzero terms in…

A: Topic:- calculus and algebra

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: We have given  The limit as x approaches - 6 of f(x) is equal to 8. limx→-6fx=-8 It means that…

Q: xy + 4 = x+y

A: To differentiate implicitly with respect to x.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Find dy dx Y = x - 7 X

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Q: Graph f(x) = X (G) O A. and g(x) = log 1/8x in the same rectangular coordinate system. Choose the…

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Q: Find dy/dx if y=- O dy dx Ody dx O dy dx O dy dx = = = 1-t 1+t = sec 2t (1+t) ² (1+1) 2 sin2t cos2t…

A: To find dydx if y=1-t1+t and  x=cos2t.

Q: Evaluate the following limit. If needed, enter oo for ∞ and -00 for - ∞. lim *→∞ 7x³ 6x² - 9x 25x -…

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Q: 11. Refer to the figure and find the volume generated by rotating the given region abou specified…

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Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

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Q: You deposit $2000 in an account earning 8% interest compounded continuously. The amount of money in…

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Q: 6.8 23 & 24

A: We know that,

Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…

Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

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Q: Suppose that y varies inversely with x, and y=6 when x=3. Write an inverse variation equation that…

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Q: If f(x) = ln(x) where x = [1, 3] is rotated about the x-axis, then the area of the resulting surface…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: The volume V of a fixed amount of gas varies directly as the temperature T and inversely as the…

A: Given: the volume V varies directly as the temperature T and inverselyas the pressure P.Therefore, V…

Q: 27. Use the method of completing the square (then u-sub) to integrate the following function.…

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Q: Evaluate the limit or determine that it does not exist. (Give an exact answer. Use symbolic notation…

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Q: 3. Sketch the graph of a function f with the following properties: x f is not continuous when x = 4…

A: We have to sketch the graph of a function that has the properties, f is not continuous when x=4 but…