Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.) f(x) = 7 Vx – 6 (х, у) %3D

Q: Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.)…

A: We first find f"(x) using the power rule

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Q: find thedifferential dy of the given function. y = sqrt (36-x ^2)

A: Given : The function y = 36 - x2.   To find the differential dy.

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Q: a) Determine the position function if the acceleration function is, a(t) = 20x³ + 2e-2x with the…

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Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = (2x +…

A: y=f(u)=u5 u=g(x)=2x+1

Q: For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is…

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A: Given a(t)=-30t+8, with v(0)=7 and s(0)=6. where s(t) represent position function, v(t) represent…

Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y =…

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Q: The position function of a particle is given by s(t) =3t-t, t20. (e) When does the particle reach a…

A: Topic- application of derivatives

Q: ..... Find the derivative of the function f(xiy)=x²+xy+y? at the point E5,4). Pn the direction in…

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Q: r2x²+2x+1 Find the equation of the tangent line to the graph of F(x) = evy dy at x = 0. J sech x

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Q: Hiw Find dy for the followng functions- 1-5x +X 2+x 3. y= lacsinfe}} %3D

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Q: The amplitude and period of the function y=4-a/2cos(bx/3-π) are 3 and 4π, respectively. Find |a|+b

A: Given amplitude=3 period =4π

Q: Q4) find at t= from the following functions, x= cost . y= 1+sint

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Q: The number of cell-phone accessory kits (neon lights, matching covers, and earpods) per day that USA…

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Q: The position function of a particle is given below. 6t2 91t, t 2 0 s(t) t3 When does the particle…

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Q: Find all possible functions with the given derivatives. a. y'=7x^6 b. y'= 7x^6 c. y'=8x^7-7x^6-7

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Q: The size P of a small herbivore population at time t (in years) obeys the function P(t)=600e^0.27t…

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Q: dz Given the function z = xy + y ln|xy|, find ду

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Q: The position function of a particle is given by s(t) = 3t2 – t°, t > 0.

A: The position of particle is s(t)=3t2-t3, t≥0 Note:   Multiple questions are given, we are answered…

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=600e0.25t…

A: Simply substitute P = 1200 and solve for t using Lograthim.

Q: Evaluate dy and Ay for the function below at the indicated values. y= f(x)= 44 1-- x- 2, dx Ax = -…

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Q: Q1: Determine whether the given functions are linearly indecent or dependent: Yı = sin2x, y2 = 1 and…

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Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

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Q: Use Definition 3.2.3 to find f'(x) and then find the equation of the tangent oʻI+*p = o y = Vx+1, a…

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Q: Q3/ Find dy/dx at the given point for the following function

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

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Q: f(x,y) = x/3 – x/3y² is harmonic? Does the function

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Q: The position function of a particle is given bys = t3 -4.5t2 -7t         t≥0(a) When does the…

A: Given the position function of a particle is s=t3-4.5t2-7t, where t≥0. (a). We know that velocity of…

Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = e2x/3

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Q: nd the point of inflection and discuss the concavity of the graph of the function. f(x) = sin , [0,…

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x^2+y^6=1

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Q: Q4) find at t= from the following functions, x= cost. y= 1+sint

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Q: The function (shown below) has a value between t = a and t = b only. A a b.

A: Observe the straight line between a and b.

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Q: the supply function for luminar lamps is p=0.1x2+o.5x+15, where x is measured in thousands of lamps…

A: Given: A supply function for luminar lamps p=0.1x2+0.5x+15, where p is the unit price in dollars and…

Q: plve the following initial value problem for y as a function of x. dy 3X dx = Vx2 - 4, x2 2, y(2)= 2…

A: 3xdydx=x2-4 multiply both sides by dx 3x dy=x2-4 dxdivide by 3xdy=x2-4 3xdx Now integrate it on both…

Q: Find the x-coordinate of the inflection point(s) of y = f(x)

A: The function is called concave up in an interval if the opening is upside of the graph.

Q: In winter, cold wind blows from North to South which brings dramatic decrease in temper- atures in…

A: According to the given data in question you try to solve this problem

Q: Find for the function y = e etanz %3D

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Q: The size of P of a small herbivore population at time t (in years) obeys the function P(t) =…

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Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = (4 -…

A: This function is the composition of two functions, namely Therefore,

Q: Q4) r(x,y) = x'/s – ½y? is harmonic ? Does the function %3D

A: The given function isf(x, y)=x13-19x-53y2to check the function is harmonic?

Q: The velocity, v of a body as a function of time, t is given as v(t) = 5e4+4, where t is in seconds,…

A: Since, we have been given that v(t)=5e-2t+4-(i), where t is in secondsand v is in m/s.Our Aim is to…