A particle moves along the x-axis with position given by x(t) = 2 sin (πt) - 5 for time t≥ 0. Find all times in the interval 0 < t < 2 when the particle is moving to the right.

Q: Question 2 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: Volume

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Q: (5) (6) (7) მე-2 d'y dx² Ərət Ət² √5 + sin x sin 0 = (2-y)dx + (2x − 3y)dy = 0 - d³y d03 cos dy do =…

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Q: Find the partial total derivatives W₂ and W₂ if W = ax² + bxy + cu where x = au + ßv and y = yu

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Q: Which of the following is equivalent to of √² (92³ - 2 √² + +9) dz B ® √ √edz [(92²-2√2+ A 9x³ [(9x²…

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Q: Determine the radius and interval of convergence of the following power series. x2k+1 Σ΄ 14k-1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the area (in square units) of the region under the graph of the function f on the interval [5,…

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Q: (a) Apply the Mean Value Theorem to tan over [0, 0], where 0 when 0 0 + 0³/3, when 0 < 0 < π tan²0…

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Q: Problem #2: Consider the following vector field. Problem #2(a): Problem #2(b): F(x, y, z) = 3yz In…

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Q: Find the total derivative given: dy a) z = f(x,y) = 2x + xy - y² where x = g(y) = 3y² b) z = f(x,y)…

A: Topic = Derivative

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Q: Consider a cost function of the form C(x) = { 20,000+ 980x - x² 0 for 0 ≤ x ≤ 1,000 for x ≥ 1,000.…

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Q: Consider the graph of f(x)=In(x). Select all that apply. Select 2 correct answer(s) f '(x) is…

A: ddx(ln x)=1xddx(xn)=nxn-1

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A: Consider the statement  log(x)→−∞ as x→−∞

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Q: The graph of the quadratic function h(x)=x2−3x+2h(x)=x2−3x+2 is a parabola that opens upwards.…

A: We have y = h(x)= x2-3x+2

Q: dx

A: See the details solution in below

Q: Determine the radius and interval of convergence of the following power series. Σ(-1)*** 8k

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Q: How did you get pi/6 as the upper phi limit?

A: Let's find upper limit of phi.

Q: XZ Find the divergence of F(x, y, z) = (ln(x+y) + point (2,0,7). ,sinhyV1+y~, ze — cos >

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Q: Write the first four terms of the sequence (an) n=1 (-1)" 2+1 an a₁ = a₂ = a3 = a4 = (Simplify your…

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Q: Nutrition   A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10…

A: This is a linear programming problem. Here, we will first find the system of inequality, then graph…

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A: NOTE: Refresh your page if you can't see any equations. . the given surface is

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A: We need to graph parabola and describe characteristic.

Q: Evaluate the indefinite integral. Stan ( tan³ (x) sec²(x) dx = +C.

A: We have to solve the given integration

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Q: rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The…

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Q: A cup of coffee at 90° C is put into a 20° C room when t = 0. The coffee's temperature is changing…

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Q: If x squared divided by 25 plus y squared divided by 64 equals one and y(2) equals 7.33, find y…

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Q: Let A(x) = 4 3 2 1 y f(t) dt for f(x) in the following figure. y = f(x) 1 2 3 4 Calculate A(0.5),…

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Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: -10 -6 -2 10- Y 8- 6 44 -2- -4 -6- -8- Select the correct answer below: 8 Identify where f'(x) < 0…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: For all positive numbers a and b with a>b ln(a−b)=ln(a)/ln(b)

A: given a,b positive numbers anda&gt;b

Q: Find the indefinite integral. (Use C for the constant of integration.) (5 − x) dx…

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Q: Solve using undetermined coefficients method. y'' + y = -2x + cos 2x

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Q: I can't read the answer can you type it

A: To evaluate the integral

Q: solve each inequality.   x2-9&lt;0

A:

Q: -10 -6 -2 10- 8 6 2 -2- -4 6- -8- 10- 2 8 + x 10 Given the graph of f(x) in the figure, what are the…

A: Local extremas are the points where the graph maximum or minimum of a graph is present.

Q: Find N⃗ (t

A: use the unit normal vector formula for finding the N(t)

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Q: Suppose and y are related by the equation xy = 2x, where y is a function of x. dy dx 2. Use implicit…

A: Topic = Derivative

Q: 18 -S x+3 dx = lim [SI 9-3 -S x+3 b-3* = lim a-3 18 9 1₁-0 dx = x+3 -5 (If the integral does not…

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Q: Which of the following is equivalent to A In 5 1.1.5 In 3 udu 5 to fº 5 xlnrer ?

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method so…

Q: Find the limit of the following sequence or determine that the sequence diverges. {(¹+3)"} ...…

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Q: a) Find the eigenvalues of B b) Find three linearly independent solutions of x˙ = Bx. c) Find the…

A: The given matrix is: B=100100-2520

Q: 8 /12 - x² - 4x (A) (B C (D) dx = 16√12x² - 4x + C 2 sin ¹ (²+2) + C 8 sin ¹(²2) + C 8 sin ¹(+²) + C

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Q: əz Əs (a) Find for z = ey tan (y), where x = 2s 7t and y = sito

A: Given function:- z=exytany ⇒x=2s-7t and y=st

Q: Find sin t and cost for the given value t = -420°

A: Find sint and cost for the given value of t  t= -420 degree

Q: If f(x) = x³ - 8/x, find the following. (Give exact answers. Do not round.) (a) f(--/-/-) (b) f(2)…

A: Given  fx = x3-8x