Find the length of the curve. r(t) = cos(2t)i + sin(2t)j + 2 In(cos(t))k, Osts I 4

Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: го о 0 0 0 1200 0430 1 2 3 8

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Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

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Q: If g(x) = cos(x) then g'(x) = = g'(3) =

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Q: 3. By y = definition, find the derivative 2x 3x + 4

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Q: Find the domain of the function: f(x) = log4 (4-3x)

A: To find: The domain of the function: f(x)=log4(4-3x)

Q: 2-L-¹ [ 6 2S-8 - 3-2S 95²-16 + 8+6S 4 S²+9

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Q: Q5/ A: Solve the following differential equation by Laplace : dy d²y dx² , dx = −6, y(0) = 3 dx 4y=…

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Q: Is the following function homogenous or not? Prove your answer u = (x+y)¹/²

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Q: 4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a…

A: Given length of wire = 20 ft

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Q: (2a²r²)dr = r³ sin 0 de, when 0 = 0, r = a

A: As we know that; The differential equation Mdr+Ndθ=0 is said to be exact, if ∂M∂θ=∂N∂r. Then the…

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Q: A = -3 -30 25 1. -105

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: [1 2 4] A = 3 3 1 6 k 32

A: Given :A=124316k32Matrix is invertible

Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: Show all necessary solutions and box all final answers. √√x² +11-3 x 4 3x²8x - 16° 1. Evaluate lim

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Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

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Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

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Q: Evaluate 1 lim x+h h 1 X

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Q: 2-4 X 3 3.9 3.99 4 4.01 4.1 5 f(x) 9 10.8 10.99 9 11.02 11.1 14 lim f(x) = x-4 Submit Question Jump…

A: Topic:- function

Q: 5t Find the equation of the tangents to the curve y = sin x at x = 0, л, and . Graph the curve over…

A: Please see the below picture for detailed solution.

Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t))

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Q: 94. S 1/2dt sint 1+t² 38 WO (Hint: sin(-t) = -sin(t))

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Q: sin cos 0 cos sin

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Q: The population of bunnies on Grassygreen Island, B(t), follows the exponential growth model 3(t) =…

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Q: y = -14x+49. X-7

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

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Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: A. FUNCTIONS, LIMITS AND CONTINUITY 1. For the function f(x) = 3× find f(x+1)/f(x-2). *

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Q: Solve I need a clear answer by hand, not by keyboard | dybala (b) (x2+x-y²) dx - y dy <= 0

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Q: 3 2 1 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic notation and fractions where needed. Enter…

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Q: Decompose 52+7 x³ + 2x²-x-2

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Q: dr de r= (7 + sec 0) sin 0 Find dr de ||

A: See this solution in below.

Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine…

A: We have to find continuity  and discontinuity for the mentioned point. Topic :- Limit and…

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A: A total amount of $9,000 was invested with equal amounts in RYURX and RYIHX and the year-to-date…

Q: Question 5 of 14 > Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 SEP 19 y f'(2.5) = 1 2 3 4 5 6 789…

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Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

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Q: 3 SFF X ex

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Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

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Q: Solve the Differential equation In x A 비 dy by separating the variables.

A: The given differential equation is: ln xdxdy=xy

Q: A = Γλ-4 0 0 X 0 0 2 3 A-1

A: Given :A=λ-4000λ203λ-1

Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

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Q: Average cost.  Tongue-Tied Sauces, Inc., finds that the cost, in dollars, of producing x bottles of…

A: Cost function C(x) = 375+ 0.75x^(3/4) Then find the rate at which average cost is changing?

Q: dentify and sketch the domain of f(x, y) = √x-y In (1 + y - x²)

A: solution is given below