Let f(t) be a function defined for all values of t. The Laplace Transform of f(t) is defined by: F(s)= �ç[∘,�‡](e^-st(f(t))dt). If the improper integral exists, Find the Laplace Transform for F(t)=t^2

26,363 results

  1. Calculus - Functions?

    #1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of a and b #2. Let h be a

  2. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point

  3. Calc

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  5. Math

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  6. Math

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  7. AP CALC. AB

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  8. calculus

    Q.NO.3: Show that the function z=tan^-1(2xy/x^2-y^2)satisfies Laplace’s equation; then make the substitution x=r cosθ, y= r sinθ and show that the resulting function of satisfies the polar form of laplace’s equation

  10. Calculus

    Let f be the function defined by f(x)= x^3 + ax^2 +bx + c and having the following properties. 1. the graph of f has a point of inflection at (0,-2). 2. The average value of f(x) on the closed interval (0,-2) is -3. Determine the values of a,b and c

  11. advanced math

    what is the Laplace transform of e^4t(cos 2t) ?

  12. Math

    Evaluate the piecewise defined function at the indicated values. f(x) = x^2 if x < 0 x + 9 if x ≥ 0 f(−3) = f(−2) = f(0) = f(2) = f(3) =

  13. calculus

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  15. multivariate calculus

    Q.NO.1: Show that the function z=ln(x^2 + y^2)+2tan^-1(y/x) satisfies Laplace’s equation. (∂^2z/∂x^2)+(∂^2z/∂y^2)=0

  16. Calculus

    Find the Laplace transform of: f(t)=t-2e^(3t)

  17. Calculus

    Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if so give the value of the

  18. Algebra

    The function g is defined below. g(x)=((x)^(2)-9x+14)/((x)^2-11x+24) Find all values of x that are NOT in the domain of g. If there is more than one value, separate them with commas.

  20. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

  21. Algebra

    Complete the table for each function. 1. f(x) = √x The x values are 0, 1,4 and 9. The corresponding y values that I got are 0, 1, 2 and 3. 2. g(x) = -1/4√ x The x values are 0, 1, 4, and 9. The corresponding y values that I got are 0, -1/4, -1/2 and

  22. Calculus-HELP!!!

    Find the Laplace transform of: f(t) = cos^(2)(2t)

  23. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola

  25. Algebra

    The function h is is defined below. h(x)=48x^2+ 12x - 16 Find all values of x that are NOT in the domain of h. If there is more than one value, separate them with commas. I'm lost.

  26. Math-Algebra II to be exact

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  27. Calc

    The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5

  28. Math

    A quadratic function is defined by f(x)=-3.7x^2+6.8x+4.2. A linear function is defined by g(x)=-0.5x+k. Determine the value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth

  30. Math(algebra)

    1.) Consider the function F defined by the equation: f(x)=3x+2 a.)find each of the values F(1),F(2)and F(3). I need help on figuring out the steps on this killer

  31. Need help asap

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  32. Calculus-PLZ HELP STEVE!

    Find the inverse Laplace transform of the following function: F(s)=(9+s)/(4-s^2)

  33. math 234 calc 4 !!!!!!!!!!!

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  35. Calculus-HELP!!!

    Find the Laplace transform of: f(t) = cos^(2)(2t)

  36. differential Equations

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  37. Differential Equations

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  38. math 116

    What is the difference between domain and range? The domain of a function is the set of all values for the independent variable (in the following example, that's the x) for which the function is defined. That is, if you have a function such as f(x) = 1/x

  40. Algebra

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  41. Calculous

    let f be the function defined by |x-1|+2 for Xor equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? justify your answer b)describe all the values of a and b for which f is a continious function c) For what values of a and b

  42. add maths

    A function f is defined by f:x→x+10 over x-8,x not equal to 8.Find the values of x for which f^-1(x)=x.

  43. Math

    Evaluate the piecewise defined function at the indicated values. f(x) = x2 + 6x if x ≤ −1 x if −1 < x ≤ 1 −1 if x > 1 f(−2) = f(-3/2) = f(−1) = f(0) = f(35) =

  45. D.E

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  46. Calculus

    Consider the function of defined by f(x)=x^3/3-4/x a. Find the X values for the points of inflection. b. Determine the intervals where the function of f is concave up and concave down.

  47. math

    1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly. 2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y = 3. Investigate whether

  48. Grade 11 math

    1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly to get full marks. 2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y = 3.

  50. Math

    Determine the representation in the frequency domain function f (t) below, through the table of Laplace transforms: f (t) = 6e ^ -(0,2+3t ) f (t) = e^-t sen(3t)

  51. calculus

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  52. Clueless in calculus

    The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5

  53. Calculus - PLEASE HELP!!

    For any real number x there is a unique integer n such that n≤x

  55. calc 2

    (last one) ... Let f(t) be a function defined for all values of t. The Laplace Transform of f(t) is defined by: F(s)= ç[∘,‡](e^-st(f(t))dt). If the improper integral exists, Find the Laplace Transform for f(t)= sinhat

  56. Calc2

    Let f(t) be a function defined for all values of t. The Laplace Transform of f(t) is defined by: F(s)= ç[∘,‡](e^-st(f(t))dt). If the improper integral exists, Find the Laplace Transform for F(t)=t^2.

  57. calculus

    Find the inverse Laplace transform of the function: F(s)=1/(s(s+1)(s+2))

  58. Math

    Using the table Laplace transform, determine the function f (t) of the following functions F (s). F(s)= 1/s^2 + 3s/s^2+9 F(s)= 6/s^2 + 10s+29 F(s)= 1/2s + 8/s^2+4s+8 - 3/s^2

  60. Calculus--Steve plz?

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  61. Differential equations

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  62. domain

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  63. ODE

    what is the laplace transform of 5/2.e^t-3/2.e^-t

  65. Calc 3

    What is the laplace transform of: f(t) = 0, 0

  66. college math

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  67. Math

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  68. math

    solve y"+4y-4z'=3x z"+z-y'=1-x where y(0)=z(0)=1 and y'(0)=z'(0)=0 by laplace transform

  70. Math

    inverse laplace transform of {5/(s-4)^3}

  71. calculus

    Solve the DE by using the Laplace transform: x''+x=cos(3t), x(0)=x'(0)=0

  72. differential equation

    Find the Laplace transform by using the theorem of L{f(t-a)H(t-a)}=(e^-as)F(s) L{(e^4t)H(t-10)}

  73. ODE

    what is the laplace transform of cost+4sint

  75. Calculus

    Find the inverse Laplace transform of: F(s)=3/(s-4)

  76. Calculus-HELP!!!

    Find the inverse Laplace transform of: F(s)=2/s^4

  77. differential Equations

    laplace transform of f(t) = t^2 sin (at) use integration by parts

  78. ODE

    compute the inverse laplace transform 2S^2+13S+5/(s+3)(s-1)^2 i got 3e^t+5e^t+3e^t, not sure it correct

  80. domain

    How do you find the domain of log(x^2-4)? and how about this one? e^(3x+4)? Please help me! Well kristie, you might recognize log(x^2-4) = log((x-2)(x+2)) and then use a property of logs to see it as a sum, i.e., log(ab)=log(a)+log(b). You are then

  81. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point

  82. Intermediate Algebra

    Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater

  83. Intermediate algebra

    Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater

  85. math

    Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater

  86. algebra, logarithms

    Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater

  87. algebra

    Describe the values for x that may not be appropriate values even when they are defined by your classmates’ function

  88. AP Calculous

    let f be the function defined by |x-1|+2 for Xor equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? justify your answer b)describe all the values of a and b for which f is a continious function c) For what values of a and b

  90. add maths

    Function f and g are defined by f:x→4-x and g:x→px^2+q where p and q are constants.Given that the composite function gf:x→x^2-8x+11,find the values of p and q.

  91. Calculus HELP!!!

    Here is the graph. h t t p : / /goo.gl/PTc2I (spaces added at the beginning so it could be added as a website) 1. Let g be the function given by g(x)=integrate from -4 to x f(t)dt. For each of g(-1), g'(-1), and g''(-1), find the value of state that it

  92. pre-calculus

    for the function f defined by: (x)=3x^2+3x+2;find the following values. a. f(-1)= b. f(-x)= c. -f(x)= d. f(x+h)=

  93. For the function defined by...HELP

    For the function defined by f(x)=3x^2+5x+2, find the following values. (a) f(-4)= (b) f(-x)= (c) -f(x)= (d) f(x+h)=

  95. math

    The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function

  96. Precalculus

    The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function

  97. Calculus

    Suppose f(x) is a differentiable function with f(-1)=2 and f(2)=-1. The differentiable function g(x) is defined by the formula g(x)=f(f(x))' A. Compute g(-1) and g(2). Explain why g(x)=0 must have at least one solution A between -1 and 2. B. Compute g'(-1)

  98. Calculus

    For which values of r does the function defined by y=e^(rt) satisfy the differential equation y''+ y'-6y = 0

  100. math

    Consider the function defined as f(x)=(x^2+2x+3)^2+4. As x ranges over all real values, what is the minimum value of f(x)?

  101. MAth

    Describe the values for x that may not be appropriate values even when they are defined of your classmates’ function.A function could, for example, indicate the amount of bone strength (y) in a living human body over time in years (x). It would not make

  102. math

    The function y = 3x - 6 is defined for all values of y less than 12. Determine the value of x that corresponds to the upp boundary y = 12. a)54 b)2 c)18 d)6

  103. MAT116- Algebra 1A

    What is the difference between domain and range? Describe a real-life situation that could be modeled by a function. •Provide feedback about your classmates’ answers. Describe the values for x that may not be appropriate values even when they are

  105. algebra word problem

    Describe the values for x that may not be appropriate value even when they are defined by a function A function could, for example, indicate the amount of bone strength (y) in a living human body over time in years(x) . It would not make sense to look at

  106. Algebra 2B

    Come up with a new linear function that has a slope that falls in the range −< < 1 0 m . Choose two different initial values. For this new linear function, what happens to the function’s values after many iterations? Are the function’s values getting

  107. Algebra

    Today I did a practice SAT problem. If the function ƒ is defined by ƒ(x) = 2x + 3, and if ƒ(a) = 11, what is the value of a? A. 4 B. 7 C. 11 D. 17 E. 25 This is the correct answer and the explanation Here's Why: If the function ƒ is defined by ƒ(x) =

  108. Function plz help!!!

    If a function u(x,y)=arctan(y/x) deduce the laplace equation of the function. plz show working i don't no where to start from...plz thanks

  110. calculus

    For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6? For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6 On which two intervals is the function increasing (enter intervals in ascending order)? ( i was able to get

  111. calculus

    Q.NO.1: Show that the function z=ln(x^2 + y^2)+2tan^-1(y/x) satisfies Laplace’s equation. (∂^2z/∂x^2)+(∂^2z/∂y^2)=0

  112. math

    1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly. 2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y = 3. Investigate whether

  113. Math

    i am trying to transform a piece wise function, but my problem is that the lines are so irregular i cant tell if it is correct. i can't even tell the equation of the lines I'm attempting to transform. y= -2/3 x -6 if -9

  115. math

    Let f be the function defined on {-3, 1} by f (x)= (x+1)/x^2+ax+b and (C) its representative curve in an orthonormal system . Knowing that the two lines of equations x=1 and x=-3 are asymptotes to (C) calculate the values of a and b.

  116. Calculus

    I posted this several days ago but it hasn't been answered and I still can't figure it out: For which values of r does the function defined by y=e^(rt) satisfy the differential equation y''+ y'-6y = 0

  117. cal3

    Using the chain rule, find the min and max points and their values of the composite function defined by: z= x^2 + y^2, x=sin(2t), y=cos(t)

  118. Algebra

    Totally lost here! Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of

  120. differential

    solve dT/t=k(T-Tm(t)) using laplace transformation, where Tm=50+20U(t-h) and where U = unit step function.

  121. Maths

    Correct each of the following incorrect statements: 1)The inverse of the function defined by y= 5/x +1 is defined by y= 5/x - 1. 2)The graph of a function and its inverse are always reflection in the line =0.

  122. calculus

    Consider the function f(x)=x^n for positive integer values of n. (a) For what values of n does the function have a relative minimum at the origin? (b) For what values of n does the function have a point of inflection at the origin?

  123. Algebra

    Can anyone help me with the following, by providing the steps to get there and what it is that you are doing? any help would be greatly appreciated... We define the following functions: f(x)=2x+5 g(x)=x^2-3 h(x)=7-x/3 ◦Compute (f – h)(4). ◦Evaluate

  125. Calculus

    A function f(x) is defined by: f(x) = { m * sinx + n, if x 2 pi. a. Given that f(x) is a differentiable function, find the values of m and n. b.Write the equation of the tangent line to f(x) at x = 2pi. c. Use the tangent line equation to find an

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