Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a function of y only.

Q: 6) Find Fourier transform of: 8 1) e-n(v²+y) (x − y)e-lx-v\dy 88 f 2) nye dy -πy²

A: According to our guidelines,i can solve only one please reroute the remaining question.

Q: A van is traveling due north at a speed of 80 km/h. If the van started off 7 km directly east of the…

A: Solution:

Q: (1 - cos x)dy + (2y sin r - tanr)dr = 0

A:

Q: using synthetic division x to the fourth - 2401/x-7

A: Given query is to divide using synthetic division.

Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

Q: 5y" + 4y - 4 = t sin t

A: Let's solve given diffential equation.

Q: m Homework Assign... mework Find the first partial derivatives of f(x,y) = 5 e x³y 11 Mail - kaleb…

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Q: Consider the function f(x)=4x2 −48x+3 on the interval [2,10]. Evaluate this function at the…

A: Topic = Functions

Q: Differentiate the following function. 3 y=xaex dy CX

A: We know, d/dx(xn)=nx(n-1), for any real number n  And d/dx(ex)=ex

Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: The median home price in the United States over the period January 2010-January 2015 can be…

A: Given:- The median home price in the united states pt=4.5t2-15t+180

Q: 1. A rational function fis given. f(x) = (a) Find the x-intercepts (x, y). (b) Find the y-intercept…

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Q: Find the length of the polar curve r = cos sin where 0 ≤ 0≤ π/4 3.11 2.11 2.22 1.11 None of these -

A: Concept: The length of the polar curve r is given by the formula  L=∫abr2+drdθ2dθ Where r is the…

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

A:

Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

A: Solve the given

Q: dw dt Find where w(x, y, z) = xyz + xy, with r(t) = e³, y(t) = e "t and z(t)= e 3t dw dt W

A: Given 1. wx, y, z=xyz+xy 2. xt=e3t, yt=e-9t and zt=e-3t

Q: $7000 is deposited in an account earning 8% interest compounded continuously. Use the continuous…

A:

Q: A particle moves according to a law of motion s= f(t), t≥ 0, where t is measured in seconds and s in…

A:

Q: If sin x 3 5' (without finding x) sin(2x) cos(2x) tan (2x) = = = x in quadrant I, then find

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: To find indefinite integral.

Q: y(2x² − xy + 1)dx + (x − y)dy = 0 - - (x² + y² + 1)dx + x(x − 2y)dy = 0 - y²dx + (3xy + y² − 1)dy =…

A: As per bartleby guidelines we only give first three question answer. Please repost for other parts.

Q: Question Evaluate the integral. So 70 Give an exact answer. If the integral is divergent, enter Ø.…

A: We will find the required integral.

Q: Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros.…

A: Please see the below picture for detailed solution.

Q: f(x) = x² - 11x + 30 g(x) = x - 5 (f+g)(x) = (f- g)(x)

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Q: Evaluate the following expression without using a calculator. log 99

A: The given expressions, i) log99ii) log749 We have to find the value of the expression without using…

Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: this is the problem of integration here function is given we have to integrate it ∫x3(x4 +4)2dx…

Q: Find the exact value(s) of all numbers that satisfy the mean value theorem for f(x)=7√x+10 on…

A: NOTE: Refresh your page if you can't see any equations. . the mean value theorem: if the function…

Q: The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

A: To find the equation of tangent line for the given curve.

Q: Problem # Perform inverse Laplace. of the functim 5S M(6) = 5²' (0-²35-0²-5³5) (e s

A: L-1(e-as/s)=H(t-a), H(t) is unit step function and a is any scalar.

Q: Question Estimate (4x² + 3) dx using the midpoint rule and 4 subintervals. Enter an exact value.…

A: To evaluate: ∫024x2+3dx Let fx=4x2+3 Now, interval is from 0 to 2 We have 4 subinterval, therefore…

Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

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Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ = 1.5…

A: We have to find the solution.

Q: Graph the solution to the following inequality on the number line. x2>-4x

A: To find the solution of given inequality.

Q: Find sin(), cos(4), and tan 2 cos(x) 180° < x < 270° sin (4) - COS cos (4) = tan (*) = = 24 25' from…

A: given cosx=-2425by half angle formula sinx2=±1-cos(x)2given that 180&lt;x&lt;270so 90&lt;x2&lt;135…

Q: Evaluate the following limit. If needed, enter oo for ∞ and -00 for - ∞. lim *→∞ 7x³ 6x² - 9x 25x -…

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Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: 2. Match each logarithmic function with its graph. I II ++ (a) f(x) = log₂ (x) (b) f(x) = -log₂ (-x)…

A: We have given equation and graph to match From given graphs graph I :   (a)  fx=-log2x graph II :…

Q: Use the rational zeros theorem to list all possible rational zeros of the following.…

A: We need to find possible zeroes.

Q: Find the value of the logarithm. (1) In

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Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

Q: y²dx + (3xy + y² - 1)dy = 0 ex + ln y + ²) + 2) dx + dx + ( + lnx + siny) dy = 0

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Q: F(g) = √ 39 29 2-g if g≤0, tang if 970,

A: Given data, The function is continuous at g= 0. Determine if it is differentiable at g = 0.…

Q: Find f'(x)and find the equation of the line tangent to the graph of f at x=1. f(x)=(2+5x)(5-4x)

A: Given f(x)=(2+5x)(5-4x) We need to find f'(x) and equation of tangent to the graph of f at x=1

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (√x + √y) · In (x² + y² − 4) -…

A: Note : Multiple questions : According to our company guidelines we are supposed to solve only…

Q: Use the chain rule to find the indicated partial derivatives at p=4, r = 3,0 = 0 and enter them into…

A: given u = x2 + yz x = prsinθy = prcosθz = p + r

Q: Find dy dx Y = x - 7 X

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Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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