Solve for z. (a) z2 + 2z + 5 = 0 (b) z3 = 8 (c) 25 = 1

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A: Follow step 2,3,4  According to guidelines we solve only first three parts. 

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A: The objective is to find the number of days in which the project can be completed. 

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Q: Homogeneous Diffe rential Equation: (r +2xy -4y \dx- (x² –8.xy –4y² \dy = 0 Use the substitution y- ...

A: A detailed solution is given in steps 2 and 3.

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A: Topic = Algera As per guidelines , At  a time only three sub-parts can be answered.

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Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph off passes through ...

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Q: Solve the differential equation (D3 + 7D2 + 19D + 13)y = 0 When x=0, y=0, y'=2, y"=-12, find y ()

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Q: bra ph the following Functions and show domains and ranges of the m 3. 2-%=2seck %3D 3-y= Vczx)z %3D

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Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the followi...

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A: This question is based on solution of linear differential equation.

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Q: Find fr and f, for f(x, y) = (1 – x + y)e²+2y Select one: O a. fr = (-x + y)e+2y, fy = (3 – 2x + 2y)...

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Q: Use the difference an+1 – an to show that the sequence {n – 7"}n=1 | is strictly increasing or stric...

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Q: Find the general solution. dy_ y _ x+y dx X-1 O a. y= cx?- x+1 O b. y= cx?- x(c+ 1) O c. y= cx?- x-1...

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Q: 4 (41² + 3)² dt cos t dt 1 + sin t sec x tan х dx sec x – 1 -

A:  we have to integrate the given integration 

Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information. 

Q: Consider the equation æ27 + 36 æ – 1 = 0 Which of the following statement is true? O The equation ha...

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Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x²/2!) + (x*/4!) ...

A: Given that cosx is approximated by 1-x22!+x44! over the interval -0.7,0.7. It is required to find an...

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Q: 3. If f(x) = 3x2/3 – 10, find the length of the graph of f from point A(8,2) to B(27,17) %3D |

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Q: x?y? dy (xdy+ydx)%3D8y%

A: Let's find. 

Q: Homogeneous Diffe rential Equation: (x² + 2xy – 4y² kdx (x² –8&.xy – 4y° kty = 0 %3D Use the substit...

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Q: SOWE THE DIFFERENTIAL EQUAMON (2xy+ xIn 3x)dy + (x ty) d (x ty) dx = 0 when x = 3 y= 2 %3D

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Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

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Q: 4л — 6, 2 <г -

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Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

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Q: 1. x + 6 dx 2 (x + 1)(3x – 2) dx - 3 4 - 3x2 + 5

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Q: Plot the following function as a 3D plot: (x + y)* + (x – y)² - f(x, y) = 2(x + y)² 4

A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: 4. Homogeneous Diffe rential Equation: (r+2y-4y kx-(x' -8ry-4y kdy= 0 Use the substitution x = y = w...

A:   Differential equation  are mathematical tool to define rate of change for whole equation. 

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: soWE THE DIFFERENTAL FQNATUON Zydx-(3xy°dx - xdy =0) %3D when x= 2 ,y=2

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Q: 4. (a) Solve the initial value problems, dy = sin t + 1; yE)=; dt (b) Evaluate V1 – x² dx. |

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Q: Homogeneous Diffe rential Equation: (x* +2.xry – 4y° kdx– (x² – 8xy – 4y² ldy = 0 Use the substituti...

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