Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) h(t) = t3/4 - 6t1/4 t =

Q: Find the differential of the function. p = 39 - 8q3/2 dp 252.81

A:

Q: Find the local minima, the local maxima, and the inflection points of

A: Given,            A(x)=∫3x t dtt2+1

Q: A particle of mass m moves through a fluid, subject to a resistance R that is a function of the…

A: Hi. You have posted multiple questions in a single request. We will only solve the first one. Post…

Q: Q 6. Find the orthogonal trajectories of the function y = x + ce-ª, which is passing through (-2,0)…

A:

Q: 4. For the below function, find the stationary point (s) and prove if a maximum, minimum, or saddle…

A:

Q: Solve the initial-value problem for x as a function of t . da (2t3 – 212 + t – 1)- 9, x(2) = 0 dt

A:

Q: The finance department of a car company conducted a study of their weekly sales in the past years,…

A: Given, st=12.18cos0.88t-7.25+20.40,  t≥0 a weekly sales at the start of study find sales at t=0…

Q: f(0) is solve by using the following The orthogonal trajectories of the family of curves r=…

A:

Q: Q2: find dw/dt at given value point for the following function

A:

Q: 2. For time t > 0, a particle moves along the X-axis, its position is given by the function s(t) =…

A:

Q: Find the critical numbers of the function.…

A:

Q: find all critical points of the function f (t) = t − 4√t + 1

A:

Q: The velocity of a skydiver 1in m>s2 t seconds after jumping from a plane is v1t2 = 60011 -…

A: Limits are used where the exact value of the function cannot be determined, hence the approaching…

Q: Find the critical numbers of the function.

A:

Q: a particle moves according to the function s(t)= t^2 - 2t +5,  what is the instantaneous velocity of…

A: A particle moves according to the function s(t)=t2-2t+5

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

A:

Q: Find the length of the graph of ; a. f(x)=⅓x2 -⅔ between x=2 and x=3.  b. x=cost, y=sint from t=0…

A: See the detailed solution below.

Q: Q2) A- Find asymptotes for the following functions : x²-1 (1) (2) x²+2 B- Find dy dx x³+x²-x-3 x²-1…

A:

Q: Given the function z=f(x,y)=2y³ - 6xy-3x² +2, find the following: a) Vf= b) Find all of the critical…

A:

Q: Find the critical point(s) in the domains of the following function. y = 47 – z I =

A:

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: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

A: The objective is to select the correct option. To find the orthogonal trajectories of the family of…

Q: find the critical numbers of the function

A: Firstly, we find h'(t) for given function h(t)

Q: Find the absolute maxima and minima of the function on the given domain. f(x, y) = 9x + 8y on the…

A: Option (C) is correct.

Q: Solve the initial-value problem for x as a function of t. da (2t3 – 2t? +t – 1) 9, x(2) = 0 %3D dt

A:

Q: The graph of the function y = 3 sinh 4x has a relative maximum at a point O (0.0) O (0, 3) O (3.0)…

A:

Q: given the position function for an object in motion  is s(t)=-4t3+4t2-1 then the accelaration at t=1…

A: Differentiate the position function with respect to time t.

Q: The depth d of the water in a harbour, measured in meters, t hours after midnight, can be…

A: Form an inequality representing this scenario. Solve that inequality to yield the result.

Q: Given f(x, y) = 2 – 27x – y3+3y?. Find all critical points of the following function and classify…

A:

Q: For time t > 0, a particle moves along the x-axis, its position is given by the function s(t) = -t*…

A:

Q: (b) Evaluate (e) Given the function Rx) (x-2 + (y-3) O Find the critical points. (1)

A: The details calculation is given below

Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

A:

Q: Find all critical values for the function f(t)=(t^4)-(12t^3)+(16t^2)

A:

Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0<ts . For…

A:

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=1000e0.18t…

A:

Q: Find the critical point(s) of the function f(x, y) = x² – 3xy+5x – 6y +8, and determine whether they…

A: Given function is  fx,y=x2-3xy+5x-6y+8 The function f is defined for all x,y∈ℝ2 and partial…

Q: Find the critical point of the function f(x,y) = 6x²y² + 4y2 + 4x². a. (0,0) o b. (-0.82,0) c.…

A:

Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

A:

Q: Find the critical numbers of the function.   g(t)  = t4 + t3 + t2+ 1

A:

Q: Solve the following initial value problem for y as a function of x. dy X- 3Dx? -9, х23, у(3)%3D0

A: By using integration formulas

Q: Find the critical numbers of the function p(t) = t e3t %3D

A: Explanation of the answer is as follows

Q: Find the absolute minimum and absolute maximum values off on the given interval. f(t)=t√ 25-t²,…

A:

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

A:

Q: 1o9.. 10 11 12 What is the minimum value of y = -3 – 5 sin (4x)?

A:

Q: 36 – t2 dt. f(x) 4+ cos? (t)

A:

Q: Locate and classify all the critical points of the function.(If an answer does not exist, enter…

A: We need to classify all the critical points of the given function.

Q: Find the critical numbers of the function. h(t) = t3/4 - t1/4 %3D t = (smaller value) t = (larger…

A:

Q: Q 6. Find the orthogonal trajectories of the functiony = x + ce, which is passing through (-2,0)

A:

Q: Find all the local maxima, local minima, and/or saddle point(s) of the function f(x, y) = x2 – 4xy²…

A: First we have to find the first order partial derivatives of the given function f(x,y). Find…