Find all values of t for which t 1 1 = 0. t +2 0 t+1 -2 -1

Q: Find all values of t for which det(t I3 − A) = 0 for the following:

A: Given: A=01000131-3 Now, stepwise calculating dettI3-A=0 for all values of t. Consider,  tI3-A  So,…

Q: s+2 S L (s² +4)² ) 1+4

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Q: Determine the value of k given that x – k dx = 0 3x2 + 4x + 1 Select one: O None of these 1/3

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Q: Show that g(t) takes on the value 0.499 for some t in [0, 1]. t +1

A: Given that g(t)=0.499 we need to find t

Q: 2 1. Given: h (t) = : ; Find h'(t). On (t) = 8t° (1+t²) (1²+2)³ 8° (t² –1) (1²+2)° ON (t)* O (t)…

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Q: Find a general solution to the given equation for t<0. (t^2)y''(t)-5ty'(t)+15y(t)=0

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Q: Find all the values of t so that  5eBt > 0 a) t ≥ 0 b) t 1/5

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Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: x"+x=2cos(t)

A: The general solution of a differential equation is the sum of the complementary function and the…

Q: 5. Find a solution f(x) to the equation (D3 – D² + D – 1)f(x) = 0 %3D such that f(0) = 1, f'(0) = 0,…

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Q: The amount of radium present at any time t obeys the law Q(t) = Qoe¬kt (0 Find k if Qo= 200 and…

A: We have to find the value of k for the equation Qt=Q0e-kt, where Q0=200 and Q1600=100. We have to…

Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st².

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Q: t E = x 3 ;(9§ – n) | 3 x +t= = 1 25- 2". 3 t = - n) n = x – 3t

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Q: k If u = f(x), then ſ dx x++2x2+1 +C for some constant k . Compute kf(1). x2+1 ... 1 (A 4 1 © -1

A: I =∫xx4+2x2+1 dxI=∫x(x2+1)2 dxu=x2+1du = 2x dxx dx =du2

Q: Find x(t) for the following: X(s) = (a+1)(2+2) (-1)(s-2) Select one: O a. ¤(t) = (-6e t + 12e-2#…

A: Given:   X(s)=s+1s+2s-1s-2    Take partial fraction of s+1s+2(s-1)(s-2)…

Q: 5+²+3+ Q Given am.9.f.Mx (t) = e for -8<t<0 Find The Ex) and E (x)²

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Q: GIVEN X f Xm<ef 35 - 416 42 - 485 49 - 55 12 56 - 62 10 63 - 69 12 70 - 767 77 - 835 84 - 903 i= n=…

A: Since you have posted multiple sub-parts of question , we will solve first three sub-parts of…

Q: 41. Determine g(x) and all values of c such that | 8(t) dt = x² + x – 6

A: Recall the fundamental theorem of calculus:

Q: x"(t) – 4x'(t) + 4x(t) = 4e2t; x(0) = -1,x'(0) = -4

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Q: Find all values of t for which

A: We are given the determinant of the matrix as 0:   So,           Let's find the determinant of the…

Q: Find values of m so that the function y = e"™x is a solution of the given D а) y' + 2y = 0 b) y" –…

A: Using differential equations ,

Q: d) Find the values. i) V(5) = ii) V(10) = %3D e) Find a formula for V'(t) valid for t in the…

A: Answer for sub question d: 1)To find V5: First find the equation of the straight line joining 0,0…

Q: r(p+ 1) := e¯²r° dr which is defined for p> -1. (a) Show that for positive p, I'(p+1) = pr°(p). (b)…

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Q: s (x) = 3x 1 (x) = x² Write the expressions for (s-t) (x) and (s ·t) (x) and evaluate (s+t)(-1).

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Q: 3 2 1 (h) {x € R' : x = +s +i for some s, t E R}

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Q: T (k+m+1) k! I' (m-k+1) \x+1, P² (x) = m k/2 X ₂F₁ 2F₁ ( -m, m+1; k+1; +¹; 1 - - - 2 ) 2

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Q: M(t)=(1-t) then E(X) of X about the origin (2 (12 24

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: F(k) = (0.5)* and g(k) = (0.25)* %3| %3D Suppose Find T(8) by using the convolution where T(k) =…

A: Given: fk=0.5k, gk=0.25k for finding value of T8, first we find Tk

Q: Determine t'(x) if t(x) = 7(3*). Select the correct answer below: O t'(x) = 7(3³) O t'(x) = 3' ln x…

A: We know that t(x)=7(3x)

Q: 4. x t +5 and y = 5-t for 1<t = %3D t

A: We are asked to find the domain of the graph.

Q: 3 Find Ay and f'(x)Ax for y = f(x) = x°, x = 3, and Ax = 0.03.

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Q: '0 (Fhop (4) (d) det(4) is non-real. (e) det (A)

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Q: - Find the instantaneous vełocity if the p defined as h(t) = 144 - 12t2 for t = 7.5.

A: we have to find the instantaneous velocity.position of an object in feet is defined as h(t)=144-12t2…

Q: f(t) = 5e"t – 5e¯al -at

A: The solution for the above question is as shown below.

Q: 2) You are given T TO = (0+ 1x + 1x² + 2x³), T i) True or False: It is possible to find T ii) The…

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Q: Let L= D^2(D^2-9).  Solve for Ly(t) = -2t(^2)*e^(3t) + e^-3t for t  is an element of (-inf,inf)

A: Given: L=D2D2-9 The given differential equation is Lyt=-2t2e3t+e-3t.

Q: Solve the Attached differential equations?

A: The given differential equation is t-13dsdt+4t-12s=t+1,  t&gt;1. It is same as dsdt+4t-1s=t+1t-13,…

Q: 11. Find all values of t for which t-2 1 - 2 2 (a) 0; 3 1-3

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Q: The function f(x)=(7x−7)e^4x has one critical number. Find x.

A: Given,          fx=7x-7e4x

Q: 4, 0 5 (f * 9)(t) =

A: Given data: ft=e-2t gt=4,    0≤t&lt;50,    t≥5 The Convolution is given by: f*gt=∫r=0tft-rgr dr…

Q: 17.Suppose that F(s) = ℒ{f(t)} exists for s &gt; a ≥ 0. a.Show that if c is a positive constant,…

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Q: [t – 1 Find the all values of t for which det(C)=0 where C= -2 1 t +1 -1 t + 1]

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Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st²

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Q: Find all values of t for which det(t I3 − A) = 0 for the following:

A: A=  2-2  0-3  1  0  0  0  3 Now, t·I3-A=t100010001-  2-2  0-3  1  0  0  0  3=t000t000t-  2-2  0-3  1…

Q: rcise : The residue at z = 0 of f(z)= (2-2)(z-3)(z-5)™. (a) 0 (b) -10 (c) 10 (d) none of these

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Q: The position of a particle moving along the x- axis at time t is given by x(t) = ecos2f, 0stS T. For…

A: Given that: Position, x(t)=ecos2t

Q: Q2: Find the total energy of the signal: Scos²(x) x(t) : 2 0. W. 05 -0s (-x2.0) (22.0)

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Q: Q3. Given the data points 0.25 0.50 0.75 1.0 1.25 1.5 -1.2233 -2.2685 | -2.8420| -2.2130 2.5478…

A: Given        x0=0, x1=0.25, x2=0.50 ,x3=0.75 ,x4=1.0 ,x5=1.25 ,x6=1.5y0=0, y1=-1.2233, y2=-2.2685…

Q: Given  h(r) = 1 r+3    find the following. (a) h(0)=   (b) h(−2)=   (c) h(−4)=   (d) h(x2)=…

A: Answer:  The following values of H(r) are shown below as: