Find all the roots of the given function on the given interval. Use preliminary analysis and graphing to find good initial approximations. f(x)=-2 sec (x) on (0,14] Continue applying Newton's method to the given values of x, as needed. The function has root(s) when x= (Round to six decimal places as needed. Use a comma to separate answers as needed.)

Q: a.V odv

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=…

A: We have to find the solution x(t) using the method of variation of parameters.

Q: 5) L (4 4 sinh 3 2t +3 sinh 2tỷ

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Q: A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

A: the scalar equation of a plane with normal  vector n=(A,B,C) is  AX+BY+CZ+D=0

Q: Exer. 43-50: Simplify f(x), and sketch the graph of f. 2x²+x-6 43 f(x) x² + 3x + 2

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Q: 2 ² J z=0x= -√4-2² 4-x²-2 y=0 N dydxdz

A: The given integral is: ∫z=02∫x=-4-z24-z2∫y=04-x2-z2 z dy dx dz Convert the given integral into…

Q: Find the area of the region bounded by x = y³ - 4y² + 3y and the x = y²-y. 77 (a) A= square units 12…

A: Given curves are x=y3-4y2+3yx=y2-y The curves intersect when…

Q: 4. Solve the triple integral below using spherical coordinates IIT √√√x² + y² +2²dzdydx

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Q: 4. Use Gauss-Jordan elimination to solve: 2X₁ + X₂ X3 = 1 5X₁ + 2X₂ + 2X3 = -4 3X₁ + X₂ + X3 = 5…

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Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

Q: Let A be the point with coordinates (1, 7, 5), let B be the point with coordinates (-1, 5, 1), let C…

A: We have to write down the first coordinate of P.

Q: 3 16 If 7 is an 7(2)= [ Rational irrational About Then entir what 1

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Q: L {y" + 2y²-3y=0} where; y(o)=0 y'(o) = 2

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Q: EXERCISE 1. For the following ODE system find ALL its equilibrium points and find their stability…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Given function is fx=2x+1 and a=0; 21.3. a We have to write the equation of the line that represents…

Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: In which form should one look for the particular solution of y" − 2y + 2y = x²eª cos(x) (you do not…

A: Given DE is  y"-2y'+2y=x2excos(x) ......(1) We find form of particular solution of DE (1).

Q: Find solution of the following equation by the Gauss-Siedel method x₁ + x₂ + x₂=6 2x₁ - x₂ + x3 = 3…

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Q: 1. Given the graph of x(t) x(+)46 exponential line -4 -2 2 0 1 quarter r cycle 3 ➜t (a) Determine…

A: To Write: (a) The mathematical expression for the function given in the sketch. (b) To find: x(0)

Q: 4. The dimension of space of all 7-by-7 skew-symmetric real matrices has a dimension (a) 28 (b) 21…

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Q: Determine £¹{F}. F(s) = 3s² + 42s + 119 (s + 5)² (s + 1) Click here to view the table of Laplace…

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Q: What is the equivalent limit of Riemann Sum expression of the definite integral fo² (4- ²x) dx?…

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: 7. Sketch the surface 1≤z≤2-x² - y²

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Q: 4. If fige Lim. 1/2 show that fy & LUTY.

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Q: Let R={(x,y) ERxR: |x| = |v|). Then R a function on R. оо True False

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Sol:- (1) tan2xy''+x2ey=2 Order = 2 (Since equation contains y'') Nonlinear

Q: If f(x)=ln(x) and x,-3.1, x₁-3.2, x-3.16, then the error bound in Lagrange interpolating polynomial…

A: Given the function is fx=lnx and x0=3.1, x1=3.2, x=3.16

Q: #m #2 15.37 at infinity. (2-a)(z-b)(z-c) Find the residue of TOP

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Q: 2. Remember to LOOK at which FORM you are given: Vertex Form: y = a(x − h)² + k Gives you your…

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Q: Use L'Hôpital's rule to find the following limit and check the answer using an algebraic…

A: Using L'Hospital's rule we find the given limit and we check the answer using an algebraic…

Q: Using Lagrange's interpolation formula, find a cubic polynomial which approximates the following…

A: Let x0,y0, x1,y1, x2,y2 and x3,y3 be the given data. To obtain the Lagrange's interpolation…

Q: 1. Determine the convergence of the following sequences. C. 2n+5 2n 3n

A: I have given the answer in the next step. Hope you understand that

Q: 24) Using Numerical Integration to estimate area between curve (y=2-x²) and line (y=-x), with n=3

A: We have y=2-x2, y=-x then intersection point is -x=2-x2 ⇒x2-x-2=0 ⇒ x2-2x+x-2=0 ⇒ (x-2)(x+1)=0⇒x=-1,…

Q: Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def…

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Q: Recast the higher order initial value problem into an initial value problem for a system of first…

A: We recast the higher order initial value problem into an initial value problem for a system of first…

Q: 62. A particle is moving on the x-axis with a velocity of v(t) = t² - 3t-18. For what values of t> 0…

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Q: 00 Let A and B be sets. Then A x B=BX A. True False

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Q: Find the product. Simplify your answer. (3s + 1)(3s + 4) Submit

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Q: with period T, that is f(t+2T) = f(t). ed and finite in each period. number of finite…

A: Only option c not satisfied f(t) condition where f(t) is periodic function

Q: 1 1. The system of linear equations Dx=c, where D= 1 2 H we change c3 by 0.002 and d22by 0.001. has…

A: Sol

Q: Graph the derivative of the function f(x) if the graph of f(x) is

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Q: Consider the Riccatti equation v'=v2-(7/x)v+8/x2 a) use the substitution v=-y'/y

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: A = 24 0 1 01 4 -1 3

A: In order to calculate the eigen value of the matrix A, we need to solve the equation: A-λI=0 for λ.…

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A: The velocity is the rate of change of the distance with respect to the time. Hence, it can be…

Q: The closure of a compact subject of a regular space is compact.

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Q: Find the mass of the cylinder (centered on the z-axis and base in the xy-plane) with radius 4 and Z…

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Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: No calculator or Desmos] Sketch the planar curve given the following parametric equations x(t) =…

A: Consider the given parametric equations, xt=cos2t compare with standard cosine equation…

Q: Let f(t) be a function on [0, ∞o). The Laplace transform of f is the function F defined by the…

A: Sol First Method:-   Le-7tcos3tApply transform rule:  if Lft=Fs then  Leatft=Fs-a