Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = ( - t+ 4)i +…

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Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

A: We have to find to check the correct

Q: Find and classify the critical points of the function: f(z, y) = z' + y* – 144ry + 4 Local maximums:…

A: Given that; f(x,y) = x^4 + y^4 - 144xy + 4  Let's  find minimum and maximum points;

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On…

A: Question- A tire swing attached to a tree branch swings with an arc length of 40 feet on its first…

Q: Find dy/dx by Implicit differentiation. x = 9 In(y-15), (0, 4) dy %3D Find the slope of the graph at…

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Q: dy without first solving for y. dx Use implicit differentiation to find y? 1 36 36 dy dx At the…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- = 5 sin t and 0= 5t = ( 5 cost)u,…

A: Topic:- application of derivatives

Q: (ii) Prove the identity (2 - 2 cos 0) (sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: Q2 Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x =…

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Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

A: If {an} is an increasing sequence or {an} is a decreasing sequence we call it monotonic If a…

Q: 3. dt find F'(x) and F'(3) 1-2 17. Given F(x) =

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Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: n-1 Consider the series n=1 Find the sum. If it doesn't exist enter "DNE"

A: We have to find out the sum

Q: 7. Find the exact x-value where the function f (x) = x +ln (7² – 1) attains a maximum value. An…

A: Given; f(x)=x+ln(x^2-1)

Q: scientific

A: We will find the 28th term

Q: If va + Vỹ = 12 and y(4) 100, find y' (4) by implicit differentiation.

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Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A: Given problem:- 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in…

Q: Find the limit. lim x--s+ (x + 5)2

A: The given limit,limx→-5+1x+52

Q: 13. (x? — ху + у?)dх — хуdy %3D 0

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Q: 18. Find [ 2x°(2x* -1) dx

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Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

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Q: The equation r(t) = (2t + 3) i + (P - 9) j+ (t) k is the position of a particle in space at time t.…

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Q: Given the graphi of the function f(x) below, answer the following 37 26 8 16 -10- 20- Enter T for…

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Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

Q: Q2 The following graph shows the position function r(t) of a mass attached to a spring. Note that…

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Q: he fox population in a certain region has an annual growth rate of 8 percent per year. It is…

A: To find the function models of population.

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A: Here we have to find the volume.

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy : (8, 1).…

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Q: Solving bernoulli differential equation -2xy=2xy

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Q: Find the number(s) b such that the average value of f(x) = 6x2 - 42x + 70 on the interval (0, 6 is…

A: Use formula for average value of function .

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: 31. The vertex angle of an isosceles triangle is 40 20. Each of the legs measures 320 mm. Find the…

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Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: 3. Cylindrical Method a. y = 9 – x2,y = 0, about the x – axis b. y = Vx,y = x, about x – axis

A: Given

Q: Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: Suppose that f(x, y) = x? – zy + y² – 3z + 3y, with domain D constrained by the lines y = z, y = 0 ,…

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Q: Find the Average Rate of Change of the following function ver the interval [1, 7] (That is, from t=…

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Q: 2. lim 3X - 2*

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of t r(t) =…

A: Topic:- application of derivatives

Q: 5+ 4. 2 1+ -5 -4 /-3 -2\1 1 5 -1 -2 -3 -4 -5 + 3.

A: