43 Explain in detail with at least two sentences how to represent the difference of z1 and z2 geometrically given that z1=8−i and z2=−9+2i. Then, give the difference z1−z2 in rectangular form.

Q: - 3x + y = 6 ax + 2y = 4 In the system of equations above, a is a constant. For which of the followi...

A: Given :-3x+y=6ax+2y=4

Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: Q2 LB/

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Q: 6. f(x)=cot(x+180)+2 f(x) Period Vertical Shift: Horizontal Shift_ Start End Increments

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Q: sin(0) Evaluate: lim 0→る

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Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: Express what you have learned in this lesson by completing the sentences below. Use a separate paper...

A: To fill the blanks for limits of the function.

Q: 7. Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack? 1911 EDI

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Q: Find the phase shift of the function y = -sec(2x + T) 2 2 -2TT 2TT

A: Topic:- trigonometry 

Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: Given line M = ax + by + c, b # 0 What is the y-intercept of the function? c b - M -C M - C b C- M

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

Q: Q3 Find domain and range for the following equations: 1) f(x) = 1- V, 2) f(x) = 3) f (x) = 4) f (x) ...

A: 1)f(x) = 1-xx is not defined for x<0.Domain: [0, ∞)f(x) will have maximum value 1.Range: (-∞, 1)2...

Q: Find dy/dx for: y = x2 − sec x + 1

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Q: n/4_sec²x a. Jo dx 1-tanx

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Q: sin(10) Evaluate: lim 0→0 sin(30)

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Q: We have  P(t) =  7000 1 + 24e−kt. Since P(1) = 840, then 1 + 24e−k = ____ , and so ek =

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt = ...

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Find the determinant of х 3 x2 5x2 O none of these

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Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

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Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: having

A: Please refer to the image below

Q: 5x Determine the values of x for which the function f (x) = is discontinuous. x2+x

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Q: Let R be the region inside the polar curve r = 2 sin 0 and outside the polar curve r = 3 – 2 sin 0 a...

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Q: Find all functions f : R → R for which f(x + y) − 2f(x − y) + f(x) − 2f(y) = y − 2

A: We are given that f:ℝ→ℝ, which follows: fx+y-2fx-y+fx-2fy=y-2 for all x,y∈ℝ.  

Q: Evaluate the integral. Show all of your work. 10 (x-1)(x² +16)

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Q: Differentiate the function. y = In(e-X + xe¬X) y' = II

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Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: 2 XA)=T\(x+A) Coupunonz 12. Let f(x,y)3x2+y² find the relative extremum, and determine whether it is...

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = 6u3,u = 7x ...

A: To find dydx bu using Leibniz's notation for the chain rule: dydx=dydududxy=6u3, u=7x-4    

Q: In the quadratic equation Ax2+ Bx + C=0 describe the roots when 32 -4AC is negative. The roots are r...

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Q: What is the slope of the line illustrated in the graph below? round to the nearest hundredth.)

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the given line

Q: Given z-7+61x is a curve in the xz-plane. If the equation of the surface generated by revolving the ...

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Q: 52 Solve G(x) for the given domain. G(x) = x 2 + 2 G(2x - 1) = _____. 4 x 2 + 3 4 x 2 - 3 4 x 2 ...

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Q: 1- cosx dx A -2/2cos- +C B 2/2cos- +c -2/2 sin-+C 2 D 2/2 sin- +C

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Q: Solve the following equation by the quadratic formula. x2 + 3x - 1= 0 3+V13 X= 2 -3+V5 X= 2 3+v5 2 -...

A: For a quadratic equation:                                     ax2+bx+c=0 The solution is of this qua...

Q: If y = (2x2 – 1) then what is y'? а. у %3 4x (2x2 -1) -12 b. у - 2x (2x2 - 1) 2 с. У 3 2x (2х- 1) % ...

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Q: Compute the work done by the vector field F(x, y) = (ry, x² + y³) when moving a particle counter-clo...

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Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10, ...

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve tha...

Q: second-order Taylor series expansion of function f(x)=ex g(x) at x=0 and calculate f(0,8) using this...

A: f(x,a) = f(a) + (x-a)f'(a) + (x-a)22f''(a)Here  x= 0 , a = 8So, f(a) = e8×g(0,8) = e8Since f(x) = ex...

Q: 3. f(x)=2cot(x-→+1 Period: f(x) Vertical Shift Horizontal Shift Start End: Increments:

A: According to question,Given function,fx = 2 cotx - π2+1

Q: 4 f(x)=-3tan(x+- 4 Period f(x) Vertical Shift: Horizontal Shift Start End Increments

A: Solution is given below:

Q: Given f(x,y)=x2eXy, evaluate fx(3,0).

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 1 y = ‍   Graph the s...

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Q: Solve using alternating series

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