Find the area of the region which is inside the polar curve r- 5 cos(0) and outside the curve r=4- 3 cos(0) The area is

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Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Perform the indicated operation and write the result in standard form. (2(cos 45° + i sin 45°))

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) (--) ) - 13n lim х—13л/2 tan...

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Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=...

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Q: Determine the value of the literal numbers in the given matrix equality. C+D - 6 4С- D - 14 D-8E - 2...

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Q: A merchant can sell 60 items per day when he charges $1.60 for that item. He has observed that for e...

A: NOTE: Refresh your page if you can't see any equations. . A merchant can sell 60 items per day when ...

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A: Slope of the tangent is obtained by dy/dx

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A: Given that: Percentage of physicians, P(t)=100(1-e-0.42t)

Q: 2. Solve the system by Gauss elimination: х-Зу+z%3D1 2х- у+2z %3D2 x+2y– 3z = –1

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Q: Evaluate the following integral using a trigonometric substitution. - 0.1 dx 64 – 4x² Round your ans...

A: Our Aim is to evaluate the following integral using a trigonometric substitution which is given belo...

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A: Compare with equation 

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Q: Determine the value of the literal numbers in the given matrix equality. C+D - 1 aarA 6C -D -34 D- 5...

A: Given query is to find the value of C,D,E.

Q: %ャ3y t42 =27 43,3,11> る。1 47 6,6,67

A: Given query is to find the normal vector of the plane.

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A: We need to find material needed.

Q: (a) Use the Trapezoidal Rule, with n = 5, to approximate the integral f 6 cos(4x)dx. T5 (b) The actu...

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other remaini...

Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 – x³, (1, 6) y = Illus...

A: Given that the equation of the curve is            y = 7x2 - x3 

Q: Let an be the n th digit after the decimal point in 57 + 8e. Evaluate an(.1)". n=1

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Q: 5€ t10 Se tio' dt

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Q: Use a calculator to solve the following equation for θ on the interval [0,π]. cos(θ)=−15

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Q: (x+1)dy = (2xe* - xy – 2y)dx

A: Solved below

Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) x-...

A: Given that: f(x)=x+2x-7

Q: Match the following items. On the unit circle with its center at (0, 0), an arc with central point P...

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Q: (I'o67 =7 %3D 2. of

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Q: 23. lim (1 + x)cotx

A: As you have asked for question 23 only. So I am solving that only.   Let f(x),g(x) be two functions ...

Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

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Q: 1. Evaluate the limits. e' cos (t – 4) dt - 4 (а) lim x2 x2 – 4 e2 + 2 (b) lim x00 e2x + 100

A: Solve the following

Q: For the following exercises, find the lengths of the functions of X over the given interval. If you ...

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Q: ? – 1²’ 4² – 2²’ 5² 32* n + 4 An = ,sequence converges to п? — (п + 2)* - n + 4 An = (n + 2)? – n? s...

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Q: Sketch the region that corresponds to the given inequalities. 18x + 9ys 90 9x + 18ys 90 9x + 9ys 54 ...

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 90 compare this eq...

Q: y" + 3y'- 10y=0; y (0) =0, y'(2) =1 is alan A initial value problem boundary value problem C) genera...

A: We can see that there is inital condation is given for the Question. e.g y(0)=0 and y'(0)=2 

Q: 4444AAAAL te =2 +2 =6 +2-X +2=6

A: Given query is to find lines are parallel or not.

Q: 18. The points (3, 0), (x, 0). (x, ). | are the vertices of a rectangle, where x 2 3, as shown in th...

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Q: Find the general solution: 0(Ine – 4) cscßdß+ cospd0=0 -

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Q: Find the derivative of the function using the definition of derivative. State the domain of the func...

A: (a)        f(x)=x2-2x3f'x=limh→0f(x+h)-f(x)h=limh→0x+h2-2x+h3-x2+2x3h=limh→0h2+2xh-h3-6xh2-6x2hh    ...

Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the curv...

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Q: Differentiate the given algebraic function 1. y = 2x3 – 7x +1 - -1 2. y = x 2 2. y = x2- 4x 3. y = (...

A: Solution: 1. y=2x3-7x+1

Q: B. LIMITS Evaluate the following limits: z² + 4z – 12 EDIE 3. lim I² – 2x lim g (y) where,, [ y² +5 ...

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Q: Evaluate the integral. xex . (1 + x)2 xp

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Q: 2. Evaluate the following integral: 6/ dx x2 Hint: Use x = 3 cose.

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Q: |S sin(x)e²= dæ = } sin(x)e2 – S e2= cos(x)dæ. S*A):de converges. 1. - 2. |Assume that {an}n20 and {...

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Q: x -1 ifx1 (a) Find lim f(x) if it exists. If it doesn't exist, explain why. (b) Find lim f(x) if it ...

A: Given query is to find indicated limits.

Q: Part A) What is im f(xh x-0 Part B) What is f(o) Part C) What is im f(x)> x-2 Pan D) What is im flxh...

A: a) limx→0f(x)=-1 b) f(0)=-1

Q: Radioactive substances decay exponentially: The mass at time t is m(t) = m(0)ekt, where m(0) is the ...

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: 12x + 13x2 lim 13x3 - 7

A: limx→∞12x3+13x213x3-7=limx→∞x3(12+13x2x3)x3(13-7x3)=limx→∞(12+13x)(13-7x3)=(12+0)(13-0)=1213

Q: What is the slope for the function y = 2x2 + 2 at the point x 3?

A: given y=2x^2+2

Q: If an object moves along a line so that it is at y = f(x) = 9x-2x at time x (in seconds), find the i...

A: Given query is to find the instantaneous velocity of the object using derivative.