Find Vy where = (x² + y² + z²) e¯¯ √√√x² + y² + z ²

Q: Factor the expression and use the fundamental identities to simplify. There is more than one correct…

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Q: 3. A child holds a ball 4 feet above the ground and throws it. The ball follows a parabolic path…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Use Theorem 7.1.1 to find (f(t)). (Write your answer as a function of s.) f(t) = (t + 1)² 2(1(0)) =

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Q: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by…

A: Solution h(t) =A sin(Bt - C) + D Given: h(t) = 51 + 49sinπ13t-π2

Q: Write the first five terms of the sequence defined recursively. a₁ = 5, ak+1 = 4(a-3) ak+1 a₁ az 33…

A: We will find the required.

Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

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Q: 1) Evaluate the following expressions. 1) sin-1 COS 17 9

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Q1: Solve Ine+4-210x=logo 100 for x a) x=1 b)x=0 c)x=(1,-1) 07 If (()=x² (2 Inx-3) Find f'(x)

A: Solve lne+4-2log4x=1xlog10100 solve for x

Q: * Incorrect. If y, and y₂ are linearly independent solutions of t²y" + 3y +(4+t)y = 0 and if W(y₁,…

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: Suppose we have two insects that enjoy feasting on one another. Each of Insect 1 consumes 1.2 of…

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Q: Find a formula for the nth term of the arithmetic sequence. 8₁ = -3, 85 21

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use the equation to find the initial population. Step 1 To find the initial population, substitute t…

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

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: We know that for a position vector  rt = xt, yt, zt, velocity  vt = r't = x't, y't, z't speed  st =…

Q: 11. Find L-¹ {F (S)} for each function: (a) s²F (s) + SF (s) — 6F (s) = (b) F (s) = (c) F (s): s 1…

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Q: Use the Laplace transform to solve the given initial-value problem. 2t y" - 3y' = 8e²t - 2e-t, y(0)…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 8x + 4 between x =…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

A: To find the limit of given vector function.

Q: Solve the following equations. 1) tan² x + 2 secr-7=0 if re [0, 2π)

A: We have to solve the equation tan2x + 2 sec x - 7 = 0   if  x ∈ [ 0, 2π).

Q: Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer.…

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Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: World consumption of a certain metal is running at the rate of 352e0.02t thousand metric tons per…

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Q: Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+…

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: 1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

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Q: Σ 500(1.07)" ΕΞΟ

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Q: √79 and the x-axis on the interval [0,27] is revolved about the y-axis. Use a table of integrals to…

A: We are asked to find the volume of the solid is formed.

Q: Determine which of the following statements are true and which are false. Enter the T or F in front…

A: As per the guideline, we can solve one question at a time in case of multiple questions. As you have…

Q: Determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3. 31²,…

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Q: 2. Find the particular solution to y " = sin(x) given the general solution y = -sin(x) + Ax + B and…

A: The general solution to the differential equation y''=sinx is y=-sinx+Ax+B

Q: 6. A population grows exponentially according to the differential equation P =kP , where P is the…

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Q: If √√x + √y = 6 and y(9) = 9, find y' (9) by implicit differentiation.

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Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: I got the question wrong

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Find the differential of the function f(x,y)=−5x√yf(x,y)=-5xy at the point (8,2)(8,2) using…

A: Concept: The value of dz and ∆z is given by  dz=∂f∂xdx+∂f∂ydy∆z=f(x+∆x,y+∆y)-f(x,y) Here ∂f∂xand…

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A: Equation of least squares line is given as                            Y = A*X + B, Where,…

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Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A: Topic- Functions

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: answer is in next step. please give a like!!

Q: 7. For r(t) = 4 cost i+ 4 sint j+k, find the principal unit normal vector N at t = 0.

A: Please see the below picture for detailed solution.

Q: Find the directional derivative of the function at P in the direction of v f(x,y,z xy + yz + xz,…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: T 45-50. Binomial series a. Find the first four nonzero terms of the binomial series centered at 0…

A: 49. The given function fx=1+x-23

Q: Find the vertical asymptote(s), if any, of the function below. If there are none, select "none" for…

A: We have to find the vertical asymptote.

Q: For each of the following functions, state whether they are onto or not. (You must enter T or F --…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…