3. y" - 4y' + 4y = 6e²t, y(0) = y'(0) = 0

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A:

Q: Sketch the graph of y = sin(x) in the interval -720° < x < 720°.

A: To plot the graph of sin(x) over [-720o,720o].

Q: End a f4 4x cos (11 - 5x²) dx. Simplify your answer. Answer:

A: ∫ 4x· cos11-5x2dx

Q: [x+y+z=0 Solve the system of linear equation 3x+5y + 4z = 5 using the following four methods:…

A: To solve the following system of linear equations by specified method. x+y+z=03x+5y+4z=53x+6y+5z=2…

Q: x³ - 16x² - 2x + 5 x³ - x

A: Given

Q: F(x, y) = (7 + 6xy²)i + 6x²yj, C is the arc of the hyperbola y (a) Find a function f such that F =…

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Q: 3. Find g'(x) = I 1 9x5 + 2 3x4 1 X

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Q: Solve the differential equation subject to the initial conditions. y+y=2e: y = 11 when x = 0 Oy-11e*…

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Q: Use a graphing utility to complete the table and graph the functions in the same viewing window. Use…

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Q: Find the average value of the function f over the interval [0, 7]. 14 x + 1 f(x) =

A: The given function fx=14x+1. We have to find the average value of the function in the interval 0, 7.

Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: A company charting its profits notices that the relationship between the number  of units sold, x,…

Q: The length, width w, and height h of a box change with time. At a certain instant the dimensions are…

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(9, 3,…

A: We have to show if the given points are of parallelogram and find its area. For this firs we will…

Q: 1. For the following systems with repeated real eigenvalues, find the general solutions: 1 -2 (₁) x²…

A:

Q: 27. The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (a) ff(x)…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: Use the matrices below. D = >- [86] 19 F = -1 3 7 11 Perform the indicated operation. F + 2D 8 1

A:

Q: Find the area of the surface generated by revolving the curves about the indicated axis. x = sin t.…

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Q: find derivative of f(x) = x (x²+3x) O x² +3x O x² +6x O 3x² +6 x O none of these answers

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

A: a=56,b=67,∠A=57° Figure

Q: Suppose f(x) = √(x − 1) and g(x) = (2x − 3)/(x + 2) . (a) Find (f ◦ g)(14). (b) Find a simplified…

A:

Q: 39. If f f(x) dx = 37 and fo g(x) dx = 16, find [2f(x) + 3g(x)] dx.

A: If ∫09 f(x) dx = 37 and ∫09 g(x) dx =16 , find ∫092 f(x) + 3 g(x) dx.

Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

A: Fx,y,z=yzi+xzj+xyk

Q: (43) (a) Express 3° in radians. (b) Express T in degrees.

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x-7…

A:

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

A: This is question related to area of integration which is application of definite integral.

Q: Find the degree 3 Taylor polynomial T3(x) of the function f(x) = (3x +52) 4/3 at a = 4. T3(x) =

A: Given the function is: f(x)=(3x+52)4/3

Q: 15. A 30 N force is required to hold a spring 20 cm beyond its natural length of 15 cm. How much…

A: Given:A force of  30N is required to hold a spring that has been stretched from it's natural length…

Q: 4. Find the surface area of the surface generated by revolving the curve x=sint, y=2+ cost, 0≤t≤27…

A: We have to find the surface area generated by revolving the curve x= sint y =2+ cost  0≤t≤2π  about…

Q: Find the inverse of the matrix

A: Given matrix: 303-30-24-30 We need to calculate its inverse.

Q: d (tan² (2x³)). dx (a) 202¹ tan (2x5) sec² (2x5) (b) 20x¹ tan (25) 16. Calculate (c) 2 tan (2x5) (d)…

A:

Q: Find derivative of the g(x) = log₂ (x+1) O none of these answers O (x+1) In 2 1 (x+1) In 2 In 2…

A:

Q: Find the interval of convergence and radius of convergence for the series

A: To solve the following

Q: Find the solution with steps of the Cauchy problem for the differential equation: 2(xy'+y)=xy^2,…

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

Q: Evaluate fry³dx + a²dy, where C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5)

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Q: Find the surface area of the part of the plane z = 5 + 4x + 2y that lies inside the cylinder x² + y²…

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Q: (a) Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate In(1.31). L(x) = In…

A: Linear approximation at x=a of function fxLx≈fa+f'ax-a

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: fx,y=ln5+x2y2

Q: Find the maximum for the profit function, P = 2x+10y subject to the following constraints. 3x - 3y >…

A: To find out the maximum profit.

Q: 5. nts) Let F =, use Green's Theorem to evaluate F. dr where the curve C is C the curve shown in the…

A:

Q: practicing checking  f(x)= x2-3x & g(x)= 2x-1      Determine f(g(x))

A: f(x)=x2-3x g(x)=2x-2

Q: -1 −1 -4 -7 B : -20 -38

A:

Q: ) Find the Taylor polynomial of degree 3 of the function f(x)=arctan(10x) at a = 0. T3(x) =

A:

Q: Find (2x+3y)dA where R is the parallelogram with vertices (0,0), (1,4), (5,3), and (6,7). R Use the…

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Q: Use a graphing calculator to graph f near xo and use Zoom and Trace to estimate the y-value on the…

A:

Q: If h(x) is continuous on [−3, 7] and 7 30 ["5h(2)dx = 37 7' what is the average value of the…

A: Average value of a function h( x ) for the interval [ a , b ] is given as  average value = 1b -…

Q: Find the arc length of the polar curve described by: r = 8+8 cos 0

A: r=8+8 cosθ

Q: 1. 45. y = x²-1⁄ln x, In x, [1,e]

A:

Q: Find u. (v x w). u = i v = j w = k

A:

Q: Let p be a prime. Prove that ((p-1)!+1) = 0 (mod p).

A: Let p be a prime . then

Q: An airplane hasjan airspeed of 400 km/h and is heading due west. If it encounters a wind blowing…

A: Draw the speed of the plane and wind as vector then find the angle uaing trigonometry formula.