Solve the following  complex numbers in their rectangular form: log(2+4i)((3.0642+2.5712i)(-2.0806+4.5465i))

Q: Using bisection method with [a1, b1] = [1,2] , estimate the root of x – 2 + Inx = 0 such that the to...

A: Given: fx=x-2+lnx a1, b1=1,2tolerance=fxi+1-fxi tolerance=0.01-------------------- Bisection Method:...

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: Some integrals might seem complicated. But they will simplify significantly if them in the right way...

A: Given that Fθ=∫cos3θ+sin2θ-3cosθsin3θ+3cos2θ+2sinθ-3dθ Evaluate the given integral

Q: -b 5dx If +1 = 2-, what is the value of b? 3/ 4 V8x2 8.

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Use energy conservation equation.

Q: a. Y= x* + 1 а. a²x b. Y = a²+x?

A: Follow the procedure given below.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per ga...

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of ...

Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Sx V1 – x² dx 3.

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Q: Evaluate the integral of xydx from x =3 to x=6 when x = 6cos angle and y=2cos angle

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Q: nd the vertical intercept, or intercepts, of the function v(t) given below. v(t) = 4|t – 5|- 12 your...

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Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: 3ysinxdx/dy-2xycosx=0, Find exact differential equations

A: Given  3ysinxdx/dy-2xycosx=0

Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: 5х —7 (х — 3)°

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Q: In Exercises 69-74, use the function value to find the indicated trigonometric value in the specifie...

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim  x →-2 x=-2 C. lim x →-2 x³=8 D...

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Q: if x < 0 if 0 < x < 1 -x² + 4x – 2 if 1 < x < 3 . Find lim f (x). if x 2 3 Given: f(x) = • %3D x-3 4...

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Q: Given a function whose graph is shown below. 1 0.5 -5 -4 1 2 -0.5사 -1.5 Determine lim f(x). r--1

A: We have the find the limit of f(x) at x = -1 using the graph of f(x).

Q: Given the first-order differential equation as below: (x² +3y² +5)dx +(6xy + 6y + 3)dy = 0 (i) Ident...

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Q: Differential Operator General Solution ... DN AxN-1 + BxN-2 + ..+C (D - a)N AxN-leax + BxN-2eax +.. ...

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Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

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Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: y'' - 25y" = 8x7 Find the Differential Operator for the Left Side of the differential equation. A (D...

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Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

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Q: Given the first-order differential equation as below: (x² +3y +5)dx + (6xy + 6y +3)dy = 0 (ii) Calcu...

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Q: Determine whether the statement is true or false. Modify each false statement to make it a true stat...

A: Given that: If a number is divisible by 2 and 3, then the number is divisible by 6.

Q: X^2+Y^2)+2XYdx/dy+2xy, Find differential exact equations

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Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

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Q: Find f, (X,y) and fy(x,y). Then, find fx(-3,1) and fy(-4, - 2). f(x,y) = - 2xy + 3y + 8

A: Given that: f(x, y)=-2xy+3y3+8

Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: dg at s = 4. ds Use the Chain Rule to evaluate the partial derivative g(x, y) = x² – y. x = s? + 4, ...

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Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i ...

Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one decima...

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Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: Given the differential equation y" - 3y' = 4x e-3x The combined set of Differential Operators for th...

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Q: a population of 7.2 million grows at a constant percentage rate.  1. what is the population 1 centu...

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Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: 5. f(x) = Vx2 + 3x + 6; f'(2)

A: Given: fx=x2+3x+6 To find: f'(2)

Q: Find the partial fraction decomposition of each rational expression. Show COMPLETE SOLUTION

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Q: By how much cloth price rose during the

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Q: 2x2 – 9 ,x < 1 What is the lim f(x)? f(x) = 1 4x – 11, x 2 1 A. -7 В.3 C.9 D. 11

A: Topic = Limit

Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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