DETAILS SCALCET8 14.6.517.XP. Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, y) = 4y²/x, (2, 4) maximum rate of change direction 9.

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately…

A: Given: P(h)=128e-0.157h

Q: 3) Find the maximum rate of change of f at the given point P and the direction in which it occurs.…

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Q: For the following problem, use the position function -16t^2 + v0t+ s0 for free following objects. A…

A: To calculate the required functions relating to the motion of the free falling object

Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the…

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Q: 10. Determine whether FG is tangent to OE. Explain. 26 G 12 17 E

A: To determine: Whether the FG is tangent or not. Formula used: Pythagorean theorem. Here, h is…

Q: Let f(z, y) = re". What is the maximum rate of change of f at the point (2,0)? O a. V5 O b. 2 O c. 1…

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Q: Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, y)…

A: Note: where △f(x,y) = ∂f∂x,∂f∂y

Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from O a fixed…

A: Particle position w.r.t time.

Q: 10. Determine whether FG is tangent to OE. Explain. 26 12 17 E

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Q: Let f(x, y) = xe". What is the maximum rate of change of f at the point (2,0)? O a. 5 O b. 1 O c. 2…

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Q: dy for the function y= dz Sa. [1.5 marks] The derivative dy for the function y dr b. [1.5 marks] The…

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Q: 5. Consider f(r, y) = x + 3y - (a) What is the domain of f(x,y)? (b) At P(2, –1) find the rate of…

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Q: Consider the directional derivative of the general function z =, = f(x,y). a) Where is it a i)…

A: The directional derivative of function φ=z-f(x,y) at (a,b,c) in the direction of u…

Q: Ir the instantaneous rate of change of x) at (,-9) is 7, write the equation of the line tangent to…

A: The given question can be solved as shown in step2.

Q: Q:2 In what direction is the derivative of f(x,y) = xy + y° at P (3, 2) equal to zero?

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Q: The volume of a right-circular cone of radius r and height h isV = π/3 r2h. Suppose that r = h = 12…

A: Consider the given: Volume,V=π3r2hr=h=12 cmDifferentiate w.r.t. "r",dV=π32rdrh    ⋯⋯11cm increase in…

Q: Find the maximum rate of change off at the given point and the direction in which it occurs. f(x, y,…

A: Let's find.

Q: Q3. Find the coordinates of the point(s) of the function y=3x – 5x +2, where the tangent has a…

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Q: The velocity of an object moving along a line is given in the graph below for 0st< 8. At t = 0, the…

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Q: Cet f(x) =. 1 %3D (a) Find the slope of the tangent line to y = f(x) at ¤ = 2. Fad At what rate are…

A: Topic:- application of derivatives

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

A: Please see the answer below.

Q: Let f(#, y) = ce%, What is the maximum rate of change of f at the point (2,0)? O a. V7 O b. 2 O C. 5…

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Q: Find the maximum rate of change of the the function 80 f(x, y, z) = 1+g² + 2y? + 3z² %3D at the…

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Q: Two ships leave port at the same time t = 0. Ship A travels East at km/hr while ship B 2 heads…

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Q: The volume of a right circular cylinder with radius r and height h is V = πr2h. Is the volume an…

A: Given: Volume of a  right circular cylinder =  πr2h  To determine: Is the volume an increasing or…

Q: 8. c d 12 10 values of the areas bounded by the curve h', the derivative of h, and the x-axis on the…

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Q: Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, у)…

A: Given function and point is

Q: Find the maximum rate of change of fat the given point and the direction in which it occurs f(x, y)…

A: The maximum rate of change of given f(x,y) at point (4,9) is,

Q: et f(x)=49/(4x+3), estimate f(.092) using linear approximations.  Build the tangent line at…

A: We will take x=1, this is close to 0.92 For x=1 , So we Build the tangent line at (x,y)=(1,7)

Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after…

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Q: Q1 The following data is provided for the velocity of an object as a function of time: t.5 5 10 15…

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Q: Flnd the maximum rate of change of f (x.y) =e*²+e*+2y at P (2,1) 29 e4 V 29 e 16 O 7e4 O Viet

A: gradient of function fx, y=ex2+ex+2y, at 2, 1

Q: What is the y-intercept of the tangent line to y = In z at (e, 1)? Enter your response as a whole…

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Q: Find the magnitude of the greatest rate of change of f(x, y, z) = (x2 + z2)3 at (1, 3, -2), and…

A: Consider the provided question,

Q: Which is not the about f(x) = |x|? Continuow at O no targent line at 0 Derivative from left at O is…

A: Use the function value to evaluate which one is false

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: XVII. For w = x³ + xy² +yz, find the rate of change of w at point (1,2,3) in the direction towards…

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Q: Find the linear approximation of the function f(x) = V1 – x at a = 0. L(x) = Use L(x) to approximate…

A: Given: f(x)=1-x

Q: Let the following curve be given. (2t² + i tH y(t) : What is the derivative of the curve y(t) う?…

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Q: h by Delermine the longth of the Curve y=flete?) between X-0 ond X= 2

A: Consider the given curve:

Q: Differentiate the function and the function of the tangent line at the given value of the…

A: Given, s=t^3-5t^2 t= 3

Q: Q1)a) Find line that are tangent the curve x + xy = 1 at the point (-1,0)

A: The given equation of the curve is x2+xy=1 and the point is (-1, 0). Evaluate the slope of the…

Q: The gradient of the tangent to the curve y = 2e"- 3e" at the point where x=0 is %3D A 5. B 7. C -L D…

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Q: Find the derivative of the function at Po airection oT u. f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i -…

A: 1. Given f(x, y) = 3x2 + 4y and u = 3i - 4j u^ = 1|u|u = 15(3i - 4j) ∇f·u^ = (i^ddx(3x2+4y) +…

Q: The normal to the curve y = e+3kx has gradient 5 when x = 0. Find the value of k. Select one: 1 25…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, Y)…

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Q: The cost, in thousands of dollars, of airing X 30-second television C(x)=40+ 3,000x + 0.064x² Your…

A: Introduction: The second derivative test is a method for determining the absolute maximum and lowest…

Q: Let f(z, y) = ze. What is the maximum rate of change of fat the point (2,0)?

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Q: Q. 2 For an F-curve with df = (6,10), find: a) F o.01 b) Fe.os c) F se Fatables,

A: Solution: Given information: The degrees of freedom for the F curve is df(6,10) Here we need to find…

Q: Find the point where the tangent line to the curve c(t) = (8t2 – 6, 3t2 – 12t) is horizontal. (х, у)…

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