Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose Change the following rectangular equations to polar form. Show work 14. x² +y =10 15. 2x-y = C %3D

Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: 3.

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Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

Q: 4.For the 2 curves xy = 8 and x2 = 64y, find the angle between the two tangent lines at the !! %3D…

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Q: The curve r= 1- sin( has a slope at 0 2n equal Select one: O1 and the graph is symmetric about…

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Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: Solve the triangle. (a) AABC, where ZA = 41°, a = 3.3, b = 5.4. %3D (b) AABC, where ZC = 50°, b =…

A: To solve for the triangle using given data.

Q: Solve without L'Hopital's rule. lim x→1 [tan(1 − x)] / (2x^2 + x − 3)

A: We have to find out limit

Q: Тапх-x 1) lim x-0 x-Sinx

A: We are asked to find the limit of the function

Q: Given mZC = 129°, c = 29, 6= 32. How many possible triangles, AABC, exist? Not enough information No…

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Q: Barbados A cruise ship maintains a speed of 5 knots (nautical miles per hour) sailing from San Juan…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Question 11 Find the area of the triangle having the given measurements. Round to the nearest square…

A: Given    Angle C = 100°   Side a = 3 yards    Side b = 8 yards

Q: Find and classify all the critical points of f(x, y) = (x - 1)y2 - x3

A: Let's find.

Q: Evaluate each of the following limits. Тапx-x 1) lim x-0 x-Sinx 2) lim lnx – x² + x x-1 (x-1)2 3)…

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Q: - 12i + 4j+ 6k| Select one: О а. 14 О ъ. 20 О с. 16 O d. 18

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Q: If lim fx) - 7 x-1 x - 1 5, evaluate lim f(x). X-1

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Q: 3 cSC x cot x dx

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Q: Vector u is represented by the directed line segment RS and vector v is represented by the directed…

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Q: If the characteristic equation of the differential equation y"+2y'-3y = 0 is m² + 2m – 3 = 0, then…

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Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

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Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: Topic:- differential equations

Q: -1 cos х ах

A: We can find the answer to the integration in the following steps.

Q: 7. Evaluate [(5+ e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a d

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Q: 8x -2x3+7

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Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

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Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: What is the expanded formula for a family with 8 children? O a + 8ab+ 25 + 56ab + 80a b + 56a b +…

A: Consider a family with 8 children

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx2 +5x-x-3 dx…

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Q: Evaluate the following expressions. sin (tan-(1)) cos (tan-(0))

A: See the details solution in below

Q: 1. In each of the ff., find frz; fy, fry, fyx- 2x2 2. f(x,y) = tan

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Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

A: Question- Find the volume of a cuboid whose length is 5x, breadth is 3y and height is 10z.

Q: dx x(x²–1) 2.

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Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

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Q: Let D be the solid unit cube: 0 < x < 1, 0 <y< 1, 0 < : < 1. Let S be the closed surface boundary…

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Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: (c) sin 3+ 2 sin? B = 1 [0, 27) 3+2sin B1 sin sinf-o osin ßt=0 Need to factor first

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Q: The angle of elevation of the top of a building from point A (the angle coming off of the ground to…

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Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Let's find.

Q: 7 х2 + Зx + 3

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Q: O Use the Comparison Test to determine whether the series is convergent or In-1 n=2 divergent. Show…

A: ∑n=2∞1n-1

Q: Chain Rule, Higher Order and Implicit Differentiation Solve the problem and give a detailed…

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Q: v Which among the following statements is a proposition? Do not apply for a petition in Math260 Test…

A: We have to find the statement that is proposition.

Q: Solve x /k – x²dy= (a²y°x + y/k² – x²) dx -

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Q: 1. Coefficients Linear in Two Variables: (x+ y-1)dx+(2x+2y+1)dy=0

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Q: Evaluate the following integral. 2. Cos x dx -4n - 4n

A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

Q: 1 | y/35y² dy 2

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Q: Solve the triangle. Round your answers to the nearest tenth. a = 23, c= 27, b= 24 mLA = 53.2°, mZB =…

A: The Cosine rule: a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=a2+b2-2abcosC Given: a=23, b=24, c=27

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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