Duration (hours) 5 10 15 20 30 40 50 20 5 8 8 9 9 30 13 16 17 18 19 19 40 14 21 25 28 31 33 33 50 19 29 36 40 45 48 50 60 24 37 47 54 62 67 69 Wind speed (knots) 9,

Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x %3D

A: Given , the function f(x) = x2 - 2x Now we find      f(1) = 12 - 2•1 = 1 - 2 = -1,…

Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Given the function f(x)=x^3+9x^2+19x+4, determine all coordinate points (x,y) on the graph of f such…

A: Differentiate the given function and equate to -5 and find coordinate points.

Q: Given the function g(x) = -x² + 5x +14, determine the average rate of change %3D of the function…

A:

Q: Q4) Determine slope of a curve y = x* +1 at x = 1

A:

Q: Determine an approximate solution of the equation z3 + 3xyz? – 5x²y²z+ 14 = 0 for z near 2, as a…

A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

Q: f(x) = 2x2 - 3x + 4, Find the equation of the line which tangent to this function at x = 1 O a. y =…

A: We have to find the equation of the tangent to the given function at given point. We know that slope…

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: Find the linear approximation of the function f(x) = Vx+3 at a = 1 and use it to approximate the…

A: Given the function fx=x+3. Find the linear approximation of f(x) at a=1 and use it to approximate…

Q: Find the slope of the tngent line to the graph of the given function at the given Value of X.…

A:

Q: Given the function f(x) = x² – 2x – 2, determine the average rate of change of the function over the…

A:

Q: Let s(t) = 6t-81t + 360t be the equation of motion for a particle. Find a function for the velocity.…

A:

Q: Find the linear approximation to the following function at the given point a.

A:

Q: Find the linearization of the function F(X) =sqrt (x+3) at a= 1 and use it to approximate the…

A: Therefore linearization at a = 1 is,

Q: Find the X coordinates to the curve Y= X^5 - 5X^4 when the gradient = 0

A: Given equation is Y= x5- 5x4 Gradient =0

Q: Find the directions in which t and decrease most rapidly at function in those directions.

A: given function fx,y,z=lnxy+lnyz+lnxz           =2lnx+lny+lnz             ∵lnxy=lnx+lny to find in…

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

A:

Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

A:

Q: Use the equation mPQ = f(x1+h)-f(x1)/h to calculate the slope of a line tangent to the curve of the…

A:

Q: Given the equation 2x +x*y-y° = 0, evaluate Assume that the equation implicitly defines y as a…

A: Concept - take the derivation on both side with respect to x

Q: Use the linear approximation to estimate the value. Compare with the value given by a calculator.…

A: The given number is (2.01)3(1.02)2

Q: 1- at 9=0

A:

Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

A:

Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: Find the direction in which the function is increasing most rapidly at the point P 0. f(x, y) = xy 2…

A:

Q: ATTACHED THANKYOU

A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the…

Q: Find the linear function with f(1)= 3 and slope 6. Select one: O a. f (x) = 4x + 6 O b. f(x) = 6x -…

A:

Q: Determine the stationary values of the function z = x3 – 6x² – 8y² and distinguish between them

A:

Q: Find an equation for the linear function g(z) which is perpendicular to the line 7z – 6y = 12 and…

A: Given the equation of a line 7x−6y=12

Q: The vertical position of a particle is given by the function s = t – 3t2 – 2. How far does the…

A: Topic = Algebra

Q: Find the linear approximation to the following functions at the given point a. ƒ(x) = 4x2 + x; a = 1

A:

Q: If an object moves along a line so that it is at y=f(x)=3x2−2x at time x​ (in seconds), find the…

A:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Find , where y is defined as a function of x implicitly by the equation below. dz' 2y5 - 2ry = -2…

A:

Q: Find f, for the function f (x, y) = yx-2z'y %3D

A: we have to partially derivative

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.

A: The given function is,

Q: Produce the linear approximation of the given function at the specified value. f(x) = sqrt(x); x =…

A: fx=x,  x=2 Differentiating with respect to x, we get f'x=12x Now at x=2, f2=2  &  f'2=122

Q: When a bus pass from Albuquerque to Los Alamos is priced at p dollars, a bus company takes in a…

A: (a)

Q: Find the linearization of the function at a . f(x) = sqrt  x    , a = 4

A: Consider the provided function, fx=x,    a=4 Find the linearization of the function at a. Apply the…

Q: Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

A: We have to find the linear function where, f0.5=0.8 and f0.8=-0.3 We know linear function form,…

Q: The idea of a large, stable middle class (defined as those with annual household incomes in 2010…

A:

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time † that…

A:

Q: Find the gradient at that point on the curve of y=2x2 - 3x +1where x=1.5. For what value of x will…

A:

Q: The energy requirements for walking (ƒ(x) in W/kg) were determined for 8 Adélie penguin chicks with…

A: f(x)=41.3x+8.9          where, x∈0,0.3So, if we put value of x in m/s in f(x) then we get energy…

Q: Find an equation of the secant line containing (1, f(1) and (2, f(2). 19) f(x) = x3

A: Given,         The equation of the secant line containing 1,f1 and 2,f2 and the line          is…

Q: (b) Find the Linearization of the function: f(x)= Vx at a= 27 and use it to approximate the number…

A: Let the function is f(x)=x3 Let a = 27   Formula: Linearization of the function f(x) at x = a…

Q: The distance, s, of a moving body from a fixed point is given as 24ei. Find the velocity, v, of the…

A: We will find out the required solution.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.