Find the curl of the vector field F. F(x, y, z) = arcsin yi + V1 - x2j + y2k

Q: Given the initial condition y(0) = 2, find the particular solution of the equation exy' - 2x = 0…

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Q: In 2010, the population of the United States was approximately 310 million with a 0.97% annual…

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Q: Let g(x) = 4x³ + 9x² - 12x + 7. What is the absolute minimum of g(x) in the interval [-3, 3]?…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: II. Solve the given linear differential equation showing the details of your work. 1. (D²…

A: The given differential equations are;  1) (D2-3D+4)y=16x-50Cos2x 2)(D2-3D+2)y=Sin(e-x).

Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: This question can be solved using the concept of parametric and symmetric equation of lines in three…

Q: Differentiate parametrically to find X 1 t-1 y=t³+2 dy dx in terms of t:

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Q: Let h(x) a) On what intervals is h(x) increasing? b) On what intervals is h(x) decreasing? c) For…

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Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

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Q: n Use the comparison test to determine if the series n=1n²³+²+1 converges or diverges.

A: The given series is ∑n=1∞nn3+n+1 we have to find the series is converges or diverges, by using…

Q: lim I-4+ lim Х- 4 3x (x+4)8 3x (x + 4)8 II

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Q: Let f(x) = 2x² + 5x - 7 x-1 = 1 and determine what value for f(1) would make Show that f(x) has a…

A: Solution of given question is written in below steps.

Q: Use the Ratio Test to determine if the series converges. 10k k=1 Select the correct choice below and…

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Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

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Q: 400 - e 1 2x dx= dx, x < In 20 2x 400-e (Type an exact answer.)

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Q: Find the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2   please shw step by…

A: To find the solution of the given differential equation.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: Find the area between the graph of x = 2y + 3 and the y-axis on the interval [0, 2]. 4- 3- 2- 1…

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Q: For the following equations, enter y if the equation defines y as a function of a but not vice…

A: To find : whether the given equation represents a function or not ?

Q: If ƒ^ = {(−7, 1), (-5, 8), (3, 11), (5,-1)} and g = {(-6, 4), (-5, 3), (-1, 7), (5, 5)} what is f +…

A: If f=-7, 1, -5, 8, 3, 11, 5, -1 and g=-6, 4, -5, 3, -1, 7, 5, 5then to determine f+g.

Q: Find the limit . Xy lim (x,y) →(4,3)x² + y² 12 125 ○ 25 이 12 b 5

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Q: a and d needs a solution

A: This question is related to Laplace transform and differential equations, we will solve it using…

Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

Q: A college student works for 8 hours without a break, assembling mechanical components. The…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  to find the rate…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S² (t =…

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Q: 7. Using the method of undetermined coefficients, what is the final form for a particular solution…

A: We first find complementary function

Q: 6. If y is a differentiable function of r and 24 + 2y5³ 5y2, then find - dy da

A: The given equation is x4+2y5x3=5y2

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: Use the counting techniques from the last chapter. A bag contains two red marbles, three green ones,…

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Q: Find the area of the region bounded above by y = -x² + 2 and below by y = x². 4 3 2 & A wit 543-2-11…

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. +57 +5 543-2…

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Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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Q: If you are given the rate of change of a function f, and an interval, what is the total change over…

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Q: Solve the following equation on the interval 0 ≤0<2T. cos ²0- - sin ²0= sin 0+1 Select the correct…

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Q: days

A: Please refer to the image below

Q: If acceleration is a(t) = -3t² sin t, and v(1) = 10, write an integral function that could be used…

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Q: Find the solution to y' =    2y satisfying y(0) = 15.       PLZ SHOW STEPS

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Q: Solve the equation x³ - 13x² +47x-35=0 given that 1 is a zero of f(x) = x³ - 13x² +47x-35. The…

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Q: Evaluate the following. [[ f (x, y) ds S f(x, y) = x + y S: r(u, v) = 4 cos(u) i + 4 sin(u) j + v k,…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given:    Maximize fx,y=8x+8xy+y    Constraint : 8x+y=400 Rewrite the constraint 8x+y-400=0 Form the…

Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

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Q: cit ++ -3 it -15- -30 -45 -60 -75- -90 -105 -120- -135- <x< N ton For the above quartic polynomial…

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Q: + -3 -2 3 lowest = middle = highest- 2 1 -1 1 3 For the above rational function f(x) = + a 17x 3.5r2…

A: f(x)=17x3.5x2+2 We know, if x=a is the inflection point of f(x) then f''(a)=0

Q: Determine the volume of the solid formed by revolving the area bounded by x² + y² =25 and x + y = 5…

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Q: Use the Ratio Test to determine if the series converges. 10k Σ k=1 Select the correct choice below…

A: The given series is ∑k=1∞10kkk

Q: explain

A: Please refer to the image below

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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