Graph each point on a polar grid. R(3.- 255°) 90° 120° 60° 150° 30° 180° 210° 330° 240° 300° 270° 90° 120° 60° 150° 30° 180° 210° 330° 240 270° 300

Q: Evaluate the following integrals: x +1 1- dx (x2 + 2x + 2)3 f*'sinzdz x² sin x -2x + 4 3- dx J (x? +...

A: Since you have asked multiple questions, we will solve first three questions for you. If you want an...

Q: 4. Test whether the following ODE is an exact DE then solve it. E- 3y² +x*) dx + (Inx – 6xy)dy = 0 ;...

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Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so th...

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Q: lim (3x3 – 2x2 + x – 6) X→4

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Q: Problem begins here: A tank with a capacity of 74 liters, initially contains 20 kilograms of salt di...

A: Form the first order linear differential equation than solve using Integrating Factor(I.F.). 

Q: Present the steps of your solution on paper. you will be graded on the logic and clarity of your rea...

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Q: FOR ANY TWOCOMPLEX NUMBERSZ, ANDZ,,PROVE THAT |Z|+|Z,]=(Z, +Z) + /Z,Z» +;(Z, +Z) - Z,Z. .

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Q: 4. Consider the relation N where v is the video name, and N(v) is its Number in the list (for exampl...

A: Given that N(v) denotes the number of a video in a list. That is, for example N (Sorry) =14, That is...

Q: 7 Find f(x) given that f (1) = =-- –- and f'(x)= 2x² 4. X. 23 114

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Q: arctanarctan x y = find dy/dx

A: Topic - derivative using quotient rule

Q: X) Points: 0 of Determine the area of the shaded region given in the following figure. x-y? - 12 -16...

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Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse: + = 1. 9 36

A: Given ellipse:-             x29+y236=1 =>      x232+y262=1  compare to standard form x2a2+y2b2=1 ...

Q: Complete the table for the radioactive isotope. (Round your answers to three decimal places.) Amount...

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Q: 1) Suppose that f(x) is a function such that f(0) = 3 and f'(0) = -3. Let h(x) = f(x) tan r. Find h'...

A: Given  f(0)=3f'(0)=-3 Let h(x)=f(x)tanx  

Q: dx by implicit differentiation. dy Given the equation x - yš = 3, find

A: To find dxdy by implicit differentiation of the given equation:x-y8=3 

Q: 2х-1 dx х* - 6х + 13

A: Here I am attaching image so that you understand each and every step.

Q: Write an equation of the line containing the given point and parallel to the given line. Express you...

A: Topic :- Coordinate Geometry 

Q: 6. Solve the following DE's using Integrating Factor by Inspection or by applying Table 1. y(y? + 1)...

A: (1) The given differential equation is: yy2+1dx+xy2-1dy=0After simplification,ydx-xdy+y3dx+xy2dy=0 I...

Q: Which of the following equation is non-linear? O y"-3y'+2y=D0 O y"+2y'-8y=x^2+cosx O (x+y)dx+(3x^2-1...

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Q: 2. Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (x* + 1)dx - 5...

A: To solve the following problem we use the seperation of variable method and also use  standard resul...

Q: FOR ANY TWOCOMPLEX NUMBERS Z, ANDZ,,PROVE THAT |Z|+|Z,|=;(Z, +Z,) + \Z,Z, + ;(Z, +Z»)- Z,z.

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Q: Select all quadratics which have real zeroes. O f(2) = (z - 4)² – 2 O f(2) O f(x) = 2x + 4r + 4 - 5a...

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Q: 3. (x² + 6y²)dx – 4xydy = 0 , y(2) = 1

A: Problem is in the form of homogeneous form...so put y=v.x and proceed as I have done solution step b...

Q: (y-4)2 In the graph to the right, the equation of the parabola is x= 4 and the equation of the line ...

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Q: Sketch the curve given by the set of parametric equations. x=P+4 48 46 44 -42 40 -38 -36 -34 -32 105...

A: We will sketch the curve as following.

Q: Solve the following differential equations. (2х — Зу + 4)dx + (3х — 2у + 1)dy %3D0

A: The solution of above question is written below.

Q: Q3: Solve the equations sinh 3x a) S 4+2 cosh 3x 3 sinh 5x dy find dx b) If y = 4x2 c) 5 cosh x +3 s...

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Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of16 so tha...

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Q: 5x2 + 3 lim x → 1 x² + 6x – 4

A: Concept- limit x tend to 1 ,that means substitute the value of x=1 .

Q: Question 1 According to the Michaelis-Menten equation, when an enzyme is combined with a substrate o...

A: *As per our guideline we are allowed to answer only 1 question at a time. Kindly please re-post othe...

Q: Use f"(x) lim h-0 f'(x + h) – f'(x) - to find f"(x) for the given function. h f(x) = 7x2 f"(x) =

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Q: For what value of a, the equation (a² - a-2)x² +(a² - 4)x+a² - 3a +2=0 will have more than two solut...

A: Given: ( a2 -a -2) x2 + (a2-4)x + a2-3a+2=0

Q: a) Solve the following differential equation. (x² + y²)dx = 2xydy

A: Given: a)x2+y2dx=2xydy

Q: For what value of a, the equation(a² - a-2)x² +(a² - 4)x+a² - 3a+2=0 will have more than two solutio...

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 80,000 + 300x. (A) Find th...

A: The total cost is given as :- Cx=80000+300x where x is body frames

Q: :X takes 3 hours more than Y to walk 30 km.But, If X double his pace, he is ahead of Y by 1 hours.Fi...

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Q: Allocate the value of equation below înto the quaratics formula; x x - 8=0

A: In this question we have to allocation the value of equation into the quadratic formula.

Q: 6. Is f continuous at 0? Explain your work carefully. { 2² . sin(-) + cos(-) ifz+0 | f(x) = %3D if x...

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Q: Find the marginal revenue function. R(x) = 3x-0.05x2 R'(x)=

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Q: For what value of a, the equation (a -a - 2)x + (a - 4)x+a² - 3a+2=0 will have more than two solutio...

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Q: For the function f(x) - 2r + 3z - ka + 2, where f passes through the point (1, – 2), what is the val...

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Q: u + 4 lim u--4 u3 + 64

A: First simplify the given expression then  calculate the limit. 

Q: For what value of a, the equation(a? -a-2)x² +(a² - 4) x+a² - 3a +2=0 will have more than two soluti...

A: Let's find. 

Q: Find the component form of the vector v with magnitude 6 and direction angle 235°. O O O O O O O

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Q: Solve the following Cauchy-Euler D.E: x²y" – xy' +y = 2x2 + In x %3D

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Q: Find the volume of the solid whose base is the triangle enclosed by y-axis, y = 3, and y above xy-pl...

A: First draw the base of the solid and find the cross section area then integrate. 

Q: 2) Find F'(x) for the function F(x) = 8x sin (x³).

A: Solution:

Q: 7. Evaluate the following limit and give an e-6 proof. Use the m minimum function to find a 6 that "...

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Q: Average Cost. A cost function is given by C(x) = 5x² + 2 %3D a. Find the marginal cost function. b. ...

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Q: Q:Evaluate the following limits. (i) lim (cos a)" +(sina)* -1 -, x ε (0, π/2) X--2 X-2 (ii)lim cos a...

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