Given the polar curves r = 1- 2 sin e and r = -4 sin 8. Do the following: 1. Sketch the curves on the same set of polar axes. (You may use the polar grid provided in the next рage.) 2. Find all points of intersection, where Be[0,2r).

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A: NOTE:- AS POSTED MULTIPART OF THE QUESTIONS, WE ARE ANSWERING ONLY FIRST THREE PART OF THE QUESTIONS...

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A: follow next step

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A: This question is related to series.

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A: Important point e0 = 1

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A: 1. Firstly, y = |x| is translated to y = |x+3| by the transformation, f(x) ----> f(x+3) 

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A: ∫115+4y-4y2dy

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A: We have to find the given limits.

Q: L'Hopital's rule of 3*+1 2*+ x lim.

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Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.

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Q: READING 18°F IS BROUGHT NTO Å 70 °F; 1 min LATER IS 31°F. DETERMINE HE A) A THER MO METER ROOM WHER ...

A: Using Newton's law: dTdt=-kT-T0...(1) Here, T0=70°F So, (1) gives: dTdt=-k(T-70)⇒dTT-70=-k dt⇒ln |T-...

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Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: Compute the gradient of f(x, y) = 7 – 6x² – y" and evaluate it at the point (2, – 4). The gradient i...

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Q: Convert the numeral to a numeral 29116 16 =10

A: We will convert the hexadecimal to decimal.Below find the solution in the image.

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A: The given DE is: cos xdx+1y dy=0

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Q: Margo borrows $1100, agreeing to pay it back with 5% annual interest after 16 months. How much inter...

A: Given:   P = 1100    r = 5%     t = 16 month

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Q: (2х — 3)* y = - х +1 .2 х*у + 3ху3 — х %3D 3 X =

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: e+ = e2a-y C = e? 1 C = - O Option 4 Option 2 C =-e

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Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d. V(4x)...

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Q: (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first b...

A: Follow the procedure given below.

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A: Topic:- application of derivatives

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Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³ ...

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Q: Calculate the absolute and relative errors in the expression: -3cb – 2b –2, if the measurement of a ...

A: The given measures are a=4.5345, b=0.3858, c=2.1050. The measurements are correct up to four decimal...

Q: 1 2. If f(x) = and g(x) = , then lim [f(x) - g(x)] equals х2 -х X-1 x→1+ а. -1 b. 1 C. -00 d. 0

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A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: (smaller t-value) (х, у, 2) %3 (larger t-value) (х, у, 2) =

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.45 trillion. In 2013, total federal...

A: The given problem is solved below in detail.