Let 2x² - 2y² - 2x + 6y - 4 = 0. dy Use partial derivatives to calculate at the point dx (-3,-2). dy (-3,-2) = dx

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Q: In Exercises 5-10, convert from rectangular to cylindrical coordinates.

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A: Step 1: Step 2: Step 3: Step 4:  thanks.....

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A: Step 1:​Given a series here:n=4∑∞​14n5n​​Step 2:​S=n=4∑∞​14n5n​S=14454​+14555​+14656​+⋯∞Using the…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: 1 26. Let f be the function with f(0) 1 = 2f(2) π and derivative given by f'(x) = (x + 1) cos(x).…

A: Option C is correct.

Q: ƒ(x) − ƒ(−1) x+1 7. If f(x) = (x²+1) what is lim x-1 (A) -24 (B) -8 (C) 0 ? (D) 12

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A: Step 1:                x(t)=2cos(t),y(t)=−2sin(t),andz(t)=0 Step 2:  The parameterization of a…

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Q: Find the following infinite TM & α) Σ ntl (-3) n+1 A-1 5" infinite sums. 2 b) Σ (2n+1)(2n+3) n=1

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A: To prove that a quadrilateral ABCD is a parallelogram, we have to show that the opposite sides are…

Q: 2. Consider the polar curves r = 4 - 2cosθ and r = 2 + 2cosθ. In this problem, we want to find the…

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Q: Given log A=3.227 and log,B=0.201, evaluate log AB. A. 3.026 OB. 16.055 O C. 0.649 OD. 3.428

A: The objective of this question is to find the value of log AB given the values of log A and log B.

Q: A cone-shaped paper drinking cup is to be made to hold 27 cm3 of water. Find the height and radius…

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Q: Get a similar question You can retry this question below Find the area between y=-24+4z²+3, y=x-1,…

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Q: Three forces with magnitudes of 60 pounds, 115 pounds, and 147 pounds act on an object at angles of…

A: Step 1:Force F1​is 60PForce F2​is 115PForce F3​is 147PAngle θ1​ is 30oAngle θ2​ is 45oAngle θ3​ is…

Q: on 1 Given f(x, y) = 2x-3xy³ + 4y³, find faz(x, y) = fzy(x, y) = Question Help: Video Submit…

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Q: What point on the parabola y = 7-x² is closest to the point (7,7)? Let D be the distance between the…

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A: To determine the values of x for which the series  ∑n=1∞​n8(8x)n​ converges, we can use the Ratio…

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Q: 29. Which of the following is a power series expansion of 6 X 2n X x (A) 1 + + + + + 2! 6! (2n)! 6 X…

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Q: 7) Let F(x,y) = (xy²+2y) + (x²y+2x+2)j be a vector field. a) Calculate curlF and divF, is F a…

A: solution of the given question is like as:

Q: Use the graph of f(x) to find the limit of each: (4 marks) a. lim f(x) x+2+ b. lim f(x) x-2- c. lim…

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Q: Consider the equation below. f(x) = x4 − 8x2 + 8 (a) Find the interval on which f is increasing.…

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Q: please can you help me with questions b,c, and d. Thank you

A: (a) The function given is:y=2x2+5,xϵ[1,6]When x=1,y=2(1)2+5y=7When x=6y=2(6)2+5y=77Here f"(x)=4,…

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: = 0. Find the vertical trace of the function z(x, y) = x + y² for x = Z The plane below represents…

A: With the graph of function z vs y or trace with x=0we have,z=0+y2or, z=y2

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A: Step 1:​f(x)=x2−10x3​Finding the domain:x2−10=0x2=10x=±10​x=−10​,10​​Step…

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Q: Suppose that An+1 ап → 1 as n∞. Find the radius of convergence. n=1 an4nxn

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Q: Consider the function f(t)=3t+5 and real number a = 2. a. Find and graph the area function A(x) =…

A: Step 1:Step 2: Step 3: Step 4:  thanks....

Q: 5- y 4 R3 2- 1+ 4 5 6 x 18. Let R be the region in the first and second quadrants between the graphs…

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A: Step 1:Use Ideal gas Law;PV=nRTInternal energy can be related to ideal gas…

Q: Use the binomial series to find a Taylor polynomial of degree 3 for 1+ 2x. T3(x)= + X + 23 +

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