Use the formula d =√√²+r₂²-2rr₂ cos(-0₂) to find the distance between the two points indicated in polar coordinates. (3, π/6) and (2, π/3)

Q: 2 3 Perform a first derivative test on the function f(x) = x (x-2); [-2,2]. a. Locate the critical…

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Q: Find the solution to the boundary value problem: The solution is y = d²y_6dy + 5y = 0, y(0) = 1,…

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Q: Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist,…

A: Topic:- application of algebra

Q: 2- Find the critical points of: f(x) = x³ - 24x² + 189x - 200

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Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 20L0.75 K-0.25 where…

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Q: Question 10 > At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23…

A: Let's find distance between the ships changing at 3 PM.

Q: Question 6 A spherical snowball is melting in such a way that its radius is decreasing at a rate of…

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Q: Decide whether the series So Use a comparison test to a p series 15k4 k5 + 5k + 3 k=1 k=1 converges…

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Q: Evaluate the sum k(4k+5). 9 9 Σk(4k+5) = k=1 (Simplify your answer.)

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Q: 2. For what values of "C" is the function & continuous on (-00,00) When fix)=2x+c.ifx<l [3x²+20,…

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A: Given query is to find the maximum revenue.

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Q: (1) Use the method of reduction of order to find a second linearly independent solution y2: (a) x²y"…

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Q: 6. Find the volume of the region bounded above by the paraboloid z = 9-x² - y², below by the…

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Q: how did the operation change right after you equated dA/dL to 0

A: For finding maximum or minimum , firstly find critical point . For critical point , equate first…

Q: (xy²dy) = (y³ – x³)dx, y(1) = 2

A: xy2dy=(y3-x3)dx  y(1)=2

Q: 58. tanx cotx = secx csc x 2 cos x csc x

A: Verify the given identity  tanx- cotx = secx cosecx -2cosx cosecx

Q: 1 3. Convert the integral IM x² + y² + z² and evaluate it. (Think about why converting to spherical…

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Q: Find the Jacobian J of the transformation T(u, v, w) = (4u +4v+w, 4u − 2v+2w, 4u — 4v +2w) = (x, y,…

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Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: given  x=2sin(π6t)               y=2cos(π6t)     sin2x+cos2x=1           x2+y2=4time=2πw    where w…

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A: The answer is in step 2.

Q: 2. State the interval(s) over which the function is increasing. 3. State the interval(s) over which…

A: Given graph of function y=f(x)

Q: Would it be DNE ?

A: Let's solve. In above answer calculation mistake is there.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Given the Rational Function f(x): = true? Check all that apply. p(x) q(x) which of the following…

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Q: Find the limit. 8 lim (x³ + x³) x →-00 (48 X

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Q: A plane can fly 910 miles in the same time as it takes a car to go 275 miles. If the car travels 127…

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Q: 1) Consider the function f(x) = 5x+2. Use basic formulas from Geometry to calculate the Definite…

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Q: 2. Find the radian measure of the angle given in degrees, and draw the angle in standard position.…

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Q: 1. Determine what type of conic the equation 9x² - 4y² + 54x + 16y + 29 = 0, represents, find all…

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Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

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Q: TION -2x-8 b) ²+4 <- 6x +5 INVESTIGATING THE GRAPHS OF QUAC LINE OF SYMMETRY OPENS UP OR DOWN?…

A: We have to find the following conditions according to the given information

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

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Q: 6. [0/0.02 Points] DETAILS MY NOTES X = ASK YOUR TEACHER PREVIOUS ANSWERS Solve the equation. (Enter…

A: Topic:- algebra

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is…

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Q: Find the two values of k for which y(x) = ekx is a solution of the differential equation y'' - 8y' +…

A: d dx(ex)=exy(x)=ekx

Q: dy dt = 2y + y5

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Q: Write a polynomial function f (x) in expanded form where the only zer

A: The expanded form of a polynomial function is  f(x)=A(x-a)(x-b)(x-c)Where A is constant and a,b,c…

Q: Given that f(x) = 2x+cos(x) is one-to-one, use the formula to find (f ¹)'(1). (f ¹)'(1) = 1…

A: Given that :  f(x) =2x + cos(x)  is one to one    To find : (f-1)1 using the formula (f-1)'(x)…

Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: given that, 3y+cos(y)=x2  and ordinate is 0 find the equation of the tangent?

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Q: #Find the distance the point (4,-3,-2) and between the line given by: Y+2=7-4 X-3 = 2+²/² -5 Find…

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Q: have a horizontal tangent? X = help (numbers) f(x) = 10x² + 15x² 60x 60

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Q: Use the root test to determine if the following series converges or diverges. 16 Σ n=1 (6+(1/n))²n…

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Q: Let z(x, y) Calculate дz მs дz - = = дz მ - 7x² - 9y2 where x - & дz St by first finding 8s + 5t & y…

A: To solve the following problem by finding the partial derivatives