Use central difference approximations to estimate the first and second derivatives of y = e* at x = 2. h=0.1

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: Y- 3X +1 = Ce | Ce 3x

A:

Q: (b) If f(x) = anx", specify the domain of f. %3D

A:

Q: A function f(æ) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f o...

A:

Q: Find the linear approximation of the function f(x, y, z) =    x2 + y2 + z2 at (4, 8, 8) and use it t...

A: Solution is given below:

Q: (3y²-x 0 ;when x = 1, y = 1 2y4

A: This is homogeneous Differential equation 

Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x, y) a...

A:

Q: Lesson 2 1. For the function y glx), analyze and find: a. lim g(x) b. lim g(x) c. lim g(x) d. lim g(...

A:

Q: Solve cot x-v3 =0 over [0,2t)

A:

Q: g (x) = -2x3 Vx²+1

A: Topic = Functions

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: E Homework: Homework 5.4 4 6 in terms of sums and differences of logarithms. 4 9 m'b Express log 4 6...

A:

Q: solve using variation of parameters or reduction of order (D^2 +1)y = tanx

A: Let's find. 

Q: 3rd-Quarter... 4. Focus (3, 0) 5. Focus (-5, 0) 6. Focus (0, 10) 7|Page 1- Given the falowing condit...

A:

Q: y(2x3 -x²y + y³)dx – x(2x³ + y³ )dy = 0 %3D

A: Given differential equation y(2x3-x2y+y3)dx-x(2x3+y3)dy=0

Q: x,for-2< I<2 2. for x 22 x-1. for x s -2 5. y=

A:

Q: Find f(x) from Sat principles, given that flx) is! ら) c)

A:

Q: Show that if ƒ and g have continuous second derivatives and f(a) = g(a) = f(b) = g(b) = 0, then | s«...

A:

Q: Find the area of the surface obtained by rotating the curve y 5æ? about the y axis for 3 < x < 8 - N...

A: Given: y=5x2

Q: Consider the function the following rational function 10 18 16 -8 -6 -2

A:

Q: 4. An imaginary ant is walking on an imaginary cartesian plane so that at any point (x, y) it moves ...

A:

Q: Use shell method to determine the volume of the solid of revolution generated by revolving R about t...

A:

Q: (2х — 5, х 20 lim h(x) : where h(x) = x→-4 x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4. 001 approa...

A:

Q: A rectangular garden of area 480 square feet is to be surrounded on three sides by a brick wall cos...

A:

Q: ex dx

A:

Q: (-1)"n For positive integer n, let a, = 3" Determine whether the sequence {an} is convergent.

A:

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) w...

A:

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: We have to solve given Integral by reversing the order of integration.

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2  

Q: a hemisphere of radius 12 inches and base up is full of water that runs out through an orifice of ar...

A: Solution of the problem is follows

Q: To test this series for convergence n° +1 1 where p no You could use the Limit Comparison Test, comp...

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We have to find the differential equations of the family of curve that

Q: Evaluate the integral. 8t3/2i + (t + 8)vtk) dt

A:

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes wi...

A:

Q: For real number p, let f and g be defined by f(x) =e3 and g(x) = 1/xP, respectively, on [1,00). f(x)...

A:

Q: 1. If f is continuous at every point in the interval (a, b) then it is continuous on an open interva...

A: As per the company guidelines we can solve first three parts . I hope that the given solution will h...

Q: The following is/ are true about the area bounded by y-8x & y=2x: O A. y= v 8x -2x O B. Only Horizon...

A: Here, the given region is bounded by the curves y2=8x, y=2x

Q: Calculate the mass of butane needed to produce 62.8 g of carbon dioxide. Express your answer to thre...

A: Given:    62.8 g of carbon dioxide ( Co2 ) 

Q: Graph the line x - 2y = 4 and find its intercepts. %3D

A:

Q: Evaluate the following integral (please write it out, instead of tying if possible)

A:

Q: ²y – 2x) dx + (2y sin x - x³ + Iny) dy

A:

Q: (2x-y + 2) dy + (x-2y+4) dx =o

A:

Q: 10. x2(x-2) dx

A:

Q: E valuate the improper integral Sma Xe* de Ina

A:

Q: ; lim f(x) ; lim f(x) = 1. f(x) 51 曾()- X-1 2. f(1) = 4 3 3. lim f(x) ; lim f(x) ; lim f(x) %3D %3D ...

A: Topic =Limits

Q: Use a system of linear equations with two variables and two equations to solve.   287 students enr...

A: