Solve the given initial-value problem. - (³₁ -1)x, 8 5 X(t) = X' X(0) = (-3)

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

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A: Let f be the function defined by  fx=1+x23 To determine which of the following property is/are…

Q: (a) (x, y) = (3, -3) + t(1, −6) X Y || (b) xi+yj+zk=k+t(i − j+ k) y || X = Z || ||

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Q: 1) Find the equation of the tangent to the curve f(x) = sin(x), at x at x = 7.

A: The solution is shown in step-2

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Q: kindly answer it

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A: a→=0,k,4,b→=3,0,2,c→=k,3,6

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Q: 5. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

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Q: 1. Determine the possible values of a, b and c, such that alb,ac and bif: a = [a, 5, 1], b = [-5, b,…

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Q: Find the derivative of the function. f(t) = 9e³t + 7 f'(t) =

A: To find out the derivative of the given function.

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A: f(x) is concave down if f"(x)<0.

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Q: This is similar to Section 6.1 Problem 32: For_f(x,y)=6x7−4y7+7x³−7xªy³ :

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Q: Use Lagrange multipliers to find the extreme values of f(x, y,z) =2x +2y + z subject to the…

A: We have given function f(x, y,z) =2x +2y + z and  constraint  g(x,y,z) = x^2 +y^2 +z^2=36.

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A: Height of the light from the wall: 20  feetLet the height of the wall be:  y  feet

Q: 6. a. Apply Newton's method to the equation r²- a = 0 to derive the following square-root algorithm:…

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Q: 2. State the interval of increase for y = f(x) given f '(x) Interval Test Value Sign of f '(x) f (x)…

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

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