Select all the true statements. 4 limx→0 ³ (2+3) lim.→-4 3x 2x+8 lim-0 2x² 5x+3 lima→-2 = ∞ x-1 (2x+4)² 8 ·∞ -∞

Q: Find the slope of the tangent line at the point (1, 1) for the ellipse 9x² + 7y² = 16. y'(1) =

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Q: Farmer Alex has 32 llamas each of whom needs 1000000 square feet of grazing area. He wants to…

A: Topic = Algebra

Q: region

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Q: Determine the value of an investment in the amount of $4000 that matures in 4 years and pays 7.5%…

A: Let's find value of amount after 4 years in each given cases.

Q: Find all second-order partial derivatives for the function r = In |5x+y|. XX xy 11 = 25 (5x + y)²

A: Given function:- r=ln5x+y

Q: Find the equation of the tangent plane to the surface z = cos(5x) cos(6y) at the point (2π/2, π/2,…

A: The equation of the tangent plane to the surface ?=?(?,?) at the point (?,?,?(?,?)) is…

Q: f(t)=3e-4¹sin5t (A) F(s) = - B F(s)= D E 15 (s-4)²+25 15 (s+4)²+25 There is no correct answer from…

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Q: First the pieces: 25 5353 7 23 SS 8z as by And putting it all together: dz dz dy dr Ot dy Ot

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Q: Find the surface area generated by rotating the given curve about the y-axis. x= 3t²2², y = 2t³, X=…

A: The given curves are  x=3t2, y=2t3,    0≤t≤1

Q: Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows: Let f(x)=x4 . The…

A: need to find out by linear approximation the value of 1.95⁴

Q: tiation 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, and 58 a. Find the intervals of increase…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next questions…

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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Q: = 2π/3. Find the directional derivative of f(x, y) = sin(x + 2y) at the point (4, 3) in the…

A: If f is differentiable function then directional derivative of f at the point (p,q) in the unit…

Q: Use a scalar projection (NOT A FORMULA- unless you derive that formula as part of your solution) to…

A: Here we have to find the shortest distance from the point (1,−2,5) to the plane given by…

Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

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Q: {2, y) = tans (2 I

A: Please see the below picture for detailed solution.

Q: Find the solution of the following differential equation. 1. (x² - 1) + 2y (x + 1)²

A: As per our guideline we can solve one question you can repost other question

Q: c. ( - 1 - 2 - 2 ) : ( - 1 - ₁ ) × (1 - 1) = C. 5 3 16 2

A: Concept: A situation is represented using mathematical symbols, variables, and arithmetic operations…

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12 s² + 16 Your answer should be…

A: To find the inverse Laplace transform L-1Fs of the given function.Fs=12s2+16

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = −t² − 2t + 35.…

A: solution:-particle's positionx(t)=-t2-2t+35where t≥0particle velocityv=ddtx(t)=ddt-t2-2t+35v=-2t-2

Q: ← Find fx (x,y) and fy(x,y). Then find fx (2, -1) and fy(-4,3). f(x,y) = In 9x¹ +8x²y² fx(x,y)=…

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Q: Determine the area of the region bounded by two the curves f(x) = 2²-26z+72 and g(x)= 13z +36.

A: To find the area of the region bounded by the two curves.

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y (s). Y(s) =…

A: We have to find the Y(s).

Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: an more work be shown on how to solve this

A: By using a scalar projection to find the shortest distance from the point 1,-2, 5to the plane given…

Q: Find the area of the region inside the circle r = 36 sin and outside the cardioid r= 12 + 12 sin 0.…

A: Concept: The area between the circle r1 and the cardioid r2 is A=12∫θ1θ2r12-r22dθ Here θ1 , θ2 are…

Q: Consider the function f(x) 72x² + 10, The absolute maximum of f(x) (on the given interval) is at X =…

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Q: Given the function (fog)(x) == and g(x)=3+√√x, which of the following is the expression for /(x+2) ?…

A: Topic = Function

Q: A baseball with mass 0.13 kg and speed 41 m/s is struck by a baseball bat of mass m and speed 38 m/s…

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Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: In what directions is the derivative of f(x,y) = xy + y² at P(3,5) equal to zero? Select the correct…

A: option A is correct

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform

Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

A: Growth model :-Pn=P01+rnr=growth rate Here r=0.3 P0=5⇒Pn=51+0.3n⇒Pn=51.3n

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x,y) 8x - 7y 1x + 6y

A: To find partial derivatives,

Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. Ay 10-…

A: Here we can answer both the question in the below steps using the given graph.

Q: S√8x³ +36x² +54x+27 dx

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 2…

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Q: If f(x) = sin(x¹), find f'(x) Find f'(2) (round to 3 decimal places)

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Q: If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is…

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Q: A homogeneous function is one such that f(tx, ty) = ta f(x, y) for some a. (a) Show that f(x, y) =…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Show that (csc(x)) = -csc(x) cot(x). d dx d dx -(csc(x)) H = = d dx sin²(x) 1 sin(x) 1 = -csc(x)…

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Here position of particle represents by xt Then x't is velocity/speed of particle  so particle speed…

Q: The function f(x) = 2x³ − 33x² + 108x - 7 has two critical numbers. X = (enter the values separated…

A: Topic- Application of derivatives We are given, f(x)=2x3-33x2+108x-7we know that critical numbers…

Q: Find the following using the table below. 1 2 3 4 12 x f(x) 3 4 f'(x) 2 3 1 g(x) 2 1 3 g'(x) 2 3 1…

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Q: 6 For the function f(x,y) = x e 5xy, find fx, fy, fx(1,5), and f,(-1,-1). 'X'

A: Given the function is  fx,y = x6 e5xy.