calculate the arc length over interval [0,1]

Q: AB as a line segment is tangent to the circle. Solve for x. A 15 B X 17

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Q: Calculus 4. Find the derivative of the following functions: y = √√x² y=x-4/7 a. b. C. d. e. f. g. y…

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Q: O DOM x Nit dx

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Q: To graph f(x) = = cos(x-7)+6. transform the graph of f(x) = cosx by performing the following…

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Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg), decreases rapidly for…

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Q: A company has determined their demand curve is d(q) = 196 - q² and their supply curve is s(q) = 3q²,…

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Q: 3 Solve the following system of equatio (1) x+y+z= 10 (2) y+ 2z = 6 (3) Z = 0

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Q: 1. Find the first and second derivatives. (b) g (t) = sin(t) + 2 cos (t) 1 43 x² (c) h(x) = x² +

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Q: Determine if a graph is a function. Is this the graph of a function? No O Yes -B Ay +2 Q

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Q: Find the linearization of the function f(x) = √x at 9. b. Use the linear approximation obtained in…

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Q: 1-cost Show all work. 1+0+ √t Compute lim

A: Here given that a limit problem and we solve this problem by using the general rule of limit

Q: □ O 5 16 0_5 4 4n²5n+6 no 5n²+ 4n+7' 27. Evaluate the limit of lim

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Q: Use integration by parts to evaluate the integral: sin(-8t) -dt Question Help: Video Message…

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Q: A cylindrical tank has a radius of 2 m and a height of 7 m. The tank is filled with water. Find the…

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Q: Use the graph off to sketch the graph of f1. Then use the graphs to determine the domain and range…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: → (+,-) (- -) J (4)

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Q: r sin(T|2² - 1) cos² (7|2² - 11) da -3

A: To find the following definite integral.

Q: 9. Use a trig substitution to show that f steps. dx (1+x²)3/2 = √1+2+C. Be sure to clearly show all

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Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

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Q: Find the domain of the function f(x, y, z) = √√ xyz². O A. Domain = {(x, y, z) ER³ : xy ≥ 0} O B.…

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Q: 9-93 Evaluate the integral. 9. 11. 13. 15. f •·ST 17. 19. 21. Cos x 1 - sin x S √y In y dy In (In y)…

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Q: Q 30. If a ball is thrown into the air with a velocity of 30 m/s, its height, h in meters after t…

A: We have,      h(t) = 30t - 4.9t2 Find the instantaneous velocity when t = 2 seconds.

Q: Graph f(0) = -cos e where -2 ≤ 0 ≤ 27. State the amplitude and the range for the function. Use the…

A: We have,   f(θ) = -1/2 cos θ  -2π ≤ θ ≤ 2π

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: answers as needed. Type your tion set of |x^(2)+x|=6.

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Q: If AABC-ADEC, find the length of DE. A 7x B 24 21 4 26 16 20 12 15 3x+9 E

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Q: For this question, refer to the graph of g(x) below 6 in 4 3 2 1 1 2 3 St A) Evaluate lim g(x) I→3…

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Q: Evaluate the integral I sin sin³(x) cos(x) dx

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Q: Find the acute angle (in degrees) between the planes -5x + 5y + 2z = 1 and -2x + y + 5z = 2.

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Q: The value of the limit lim t-0 vectors in space, is (i) i+j+ k (ii) 2i+j+ k (iii) 2i - 2j + k (iv)…

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Q: 3. The motion of a particle is defined by the function s(t), where s is the displacement from the…

A: The s(t) is a function of the motion of a particle. where s is the displacement and t is time in…

Q: (1) x-3y+6z= 8 (2) 3x-9y+18z = 24

A: Given two equations are :

Q: Suppose a student carrying a flu virus returns to an isolated college campus of 6000 students.…

A: Total number of students= 6000Let x be the number of students having flu.the number of students does…

Q: 8. Evaluate x² + y² ds с point(1.0) to the point (0,1). counterclockwise along the circle x² + y² =…

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Q: X^4+y^4 =82 find the equation of the tangent line at the point (x,y)= (3,1)

A: Explaination of the answer is as follows

Q: The amplitude of f(8)= -0.9sing is: O 0.9 O -1 O -0.9 O 2n

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Q: Convert the point (r, 0, 2) = (5, 57, 2) ,2 to Cartesian coordinates. Give answers either as…

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Q: lim X-800 in (1-1) X In

A: Given Limit

Q: 9-24 Find the exact length of the curve. 9. y = x³/2, 0≤x≤2 10. y = (x + 4) ³/2, 11. y = (1 + x²)…

A: To find the length of the following curves9.  13.

Q: 7. The displacement of an object in motion is described by s(t) = 5 - int, where a is measured in…

A: The displacement of an object in motion is described by s( t )

Q: 3. Consider the function (a) Evaluate the limits f (x) = (i) lim f (x) x-0- (b) Sketch the graph of…

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Q: Find the unit tangent vector to the curve defined by F(t)= (3 cos(t), 3 sin(t), 5 sin²(t)) at t= 75…

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Q: Consider the function y²x² y² + x² 0 if (x, y) = (0,0) if (x, y) = (0,0) Compute the partial…

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Q: Solve the following system of equations: (1) x-y + z = -16 (2) - 2y+z=6 (3) 3z=9 ○ (끌올) ㅇ(-일-올)…

A: 1-      x-y+z=-162-     -2y+z=63-      3z=9From the equation (3), we have z value as Z=9/3=3

Q: 8(a) The functions sinh and cosh are defined as 1 sinhr=;(e-e*), coshr =1/√(₁²+ e ²). (i) Show from…

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Q: 8 f f(x) dx = -4 -5 8 f g(x) dx = 10 -5 5 fg(z) dz=5 -5 8 First Number: (-2 f(x) - 4 g(x)) dz. -5 -5…

A: Given definite integrals are  ,  ,          .

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

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Q: x 3

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Q: Find the decomposition of a(t) a = aTT + aNN into tangential and normal components for r(t) = (51,…

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