For HEE EN x'(t) 10 0 ( 1) : х (0) у' (1) =| 0 1 -1 у (г) у (0) 1 z'(t) 0 1 1 z (t) z (0.) 1 Write y (T), round to three digits after the decimal sign

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

Q: tan EX dx

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Q: PROBLEM 3 Prove the following using a direct proof. Your proof should be expressed in com- plete…

A: Given b is a multiple of a3 Therefore  b= k 1×a3   where k 2=arbitrary constant Also c is a multiple…

Q: Find the equilibria of the differential equation, and construct the phase plot: y' (y − 3)(y – 5).…

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Q: Uxx - Uyy = 0

A: Take u(x,y)=x2+y2 We have  uxx(x,y)=2 and uyy(x,y)=2

Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: tan

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Q: 12 -9 X' 4

A: Given that, X' = AXwhere,A = 12-940 We know that the root (eigen value) of the matrix can be…

Q: 5. x' = (1²3) × X 5

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Q: [2 3] x [58][y] a) X 元 201 9 = [] 18013-81 ||

A: We have to find .

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo. as f дх4…

A: The function is ∂5f∂x4∂y in subscript form    Since ∂f∂x=fx and       ∂f∂y=fy For example for a…

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: y = x³log3x , find y'

A: We need to evaluate the derivative of the following function y = x3log3x

Q: 2 1. xe*dx

A: The value of the integral can be evaluated as following ∫02xexdx

Q: 23. y = In x+1 x-1

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Q: y'- ge : yo) - -l

A: The given initial value problem is                                                  y'=2et  :…

Q: Calculate y" and y'''.      y = ex /x

A: The given function is, y=exx Since the given expression is of the form y=fxgx, it can be…

Q: Locate the point where the slope of tangent line to y=In 2x² IS –1- O (-1, In 2) O (-2, In 8) 9. In…

A: Given  y=log(2x2)Slope =dydxdydx=4x2x2=12x

Q: Simplify. Express your answer using positive expor (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

A: Given: (r^(3)s^(0)t^(-1))/(r^(-1)st*r^(2)st^(-1))

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: 1. Rewrite each of the following expressions in simplest form and without negative exponents. (a) 5x…

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Q: 12. f sec¹x tan³x dx

A: We need to find out the integration of the given integral.

Q: дz дz Use implicit differentiation to find and Әх ду əz Әх дz = x2 + 2у² + 5z² = 6

A: Let f(x,y,z) be a function of x,y and z. Also the dependent variable z=z(x,y) is a function of two…

Q: Compute the following. (a) P6, 3" (b) C5, 3- (c) P10, 10' (d) C11, 11"

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Q: 7x y = y' =

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