Find the length of the arc of a circle of diameter 8 meters sub tended by a central angle 2pi/3 radians. s =

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: lim x-0 1+x−1

A: Given problem:-

Q: Find area inside 3 - 3 cos 0 and outside r = 3

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Q: Approximate 141/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

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Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= - 16t²…

A: Velocity

Q: y" - 5y' = x - 2, when x = 0, y = 0, y' = 2

A: We have to solve the given differential equation.

Q: Find the domain of the function. (Enter your answer using interval notation.) g(t) = √√√7 - t-√√3+t…

A: For square root function to be defined the term in the square root should be positive

Q: lim x→n x²_n² x-n = 10

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

A: On solving this we will get

Q: Find the vertical asymptote of the graph of f(x) Describe the behavior of f(x) to the left and right…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the general solution. ܕܙܐ

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Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: Find all the values of x such that the given series would converge. 8 8n (x²)(n+1) (n+8) n=1 The…

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Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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Q: Find all critical points of f(x) = 4x³ + 4x-3. (Use symbolic notation and fractions where needed.…

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Q: There are two extremely important sequences that we will discuss in this chapter: arithmetic…

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Q: Compute. 13 Σκ k k = 0

A: We have to find out  sum

Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A: Given, cosec(A)=87, 90°<A<180°

Q: 3) [₁ 10etan (e³x – 3) dx

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Q: Consider the functions z= - e* Iny, x= In (u cos v), and y=u sin v. əz dz a) Express and as…

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Q: 4. Find the area between the parabola y² = 4ax and x² = 4ay

A: As per bartleby guidelines we only give first question answers.

Q: 5. Consider the function if x € Q f(x)= if x # Q. Show that f is not Riemann integrable on [0, 1]. n…

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Q: Solve the following equations by using Cramer's Rule 2x + 2y + z = 1 x-y + 6z = 21 3x - 2y-z = 4

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Q: 4. A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket.…

A: Let's find set the ticket prices for maximum revenue.

Q: Numerical Integration: 1 √x 1. 0 dx

A: We can find the solution of the definite integral as below.

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

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Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: List the first five terms of the sequence. - 1. a₁ = 2, a₂ = 1, an+1 = an an-1

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: 3) x² + y² + 16x+10y+80= 0 2 CXA6 2 5) x² + y² - 22x+26y +254 = 0

A: Here we have to find the standard form.

Q: Find all the second-order partial derivatives of the following function. w=3ye 4x²-y

A: Given :w=3ye4x2-y

Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

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Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

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Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

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Q: πρ2. The = The area of a healing wound is given by A radius is decreasing at the rate of 3…

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Q: A particle is moving along the path given by R(t) = (sin(ln t), cos (Int), √3 lnt). (a)…

A: Let's find.

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line x+2y=2, and…

A: The area bounded by the line x+2y=2, and the x and y axis, revolving about x-axis

Q: Evaluate the following integrals (a) [2r³ - 2x³ + 3x - 2 dx (b) [ 3x² + √x √I dx (c) √ ¹ t² (√t -…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 6-x, x3. a. Find…

A: We have to find out limit

Q: a/ Q ((Laplace)) 1 A²² [5 (5²+25+5)]

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Q: Find the gradient of f(x,y,z) = (x² + y² +z²) ¯ - 1/2 Vf(-21.-2)=(1+Dj+k (Type integers or…

A: topic - gradient of a function

Q: Evaluate LL²³ S²x² y² وژ sin z6 dx dy dz

A: To evaluate: ∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz Let, I =∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz First integrate with…

Q: Write TRUE or FALSE before each statement. Solve y dependent variable. differential equation.…

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Q: Find f'(-1) for f(x) = 2x, Express in exact form?

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Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.