The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the functions f and g are shown in the table below. What is the average value of g(x) on the interval [5, 11] in simplest form? 8. 11 -6 -5 -8 4

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: Evaluate each of the following: 1. ſ cot 2v dv

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = xo and then find the nth Taylo...

A:

Q: 6. |x²e-2*dx

A: Solved below

Q: Ду dy %3D II

A:

Q: In this situation, finding the indefinite integral is most easily achieved using the method of integ...

A:

Q: Determine any planes that are parallel or identical. (Select all that apply.) O P,: -60x + 90y + 60z...

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

A:

Q: Let g (x) = tan 1x + tan (1/x). Show that g (x) = k, a constant, for any x in the domain. Find the v...

A: Given problem:- Let g(x) = tan-1x + tan-1(1/x). Show that g(x)=k, a constant, for any x in the domai...

Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: givens A = (-6,4,-8) and B = (8, 8, -2) find FIND: a unit vector in the direction of -A + 2B FIND: t...

A:

Q: (b) symmetric equations 4- X z + 2 = y = 22 15 4 - x - Y + 5 22 27 z + 2 !! 15 X-4 y-5 20 27 15 z + ...

A:

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A: here the vector make 0 degree with x axis it means it is on x axis  so its components are (x,0,0) [[...

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

A:

Q: R= {y = x^3 + 1, x=1, x-axis}   Can you help me answer this? And explain how did you get the answe...

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point  y = x3 + 1 When  x = 1 y = 1...

Q: x V3x - 5 dx

A:

Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

A:

Q: Consider the points A(3, –1,3), B(4, –3,0), C(-2, -2,0), and D(6,3, –5). - (a) Find the volume of th...

A:

Q: Find the x-intercepts. 2x2 – 3x + 1 y = 2x2 + 8x + 6 - (0.5, [?]), ([ ], [ ]) Enter the number that ...

A:

Q: 4. An object moves along a horizontal line in a way that its position is described by the function s...

A:

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

A:

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A:   Solve for the derivative of the function using chain rule. 9. f(x)= esinx  

Q: II. Obtain the required order of derivative. 1. y? = 4x, find y" 2. x3 - y3 = c³, find y"

A:

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

A:

Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4 b...

A:

Q: Let D be the trapezoidal region in the ry-plane bounded by the graphs of z = 0, y = 1, y = z and y =...

A: We have to solve for the area by integration. 

Q: Find the following: 1.) A +B = 2.) A x B =

A:

Q: 4 5 y = x? – 8x – 6 + - 8x – 6 +a

A: We have to differentiate the given equation. 

Q: 6. D, (Inx) 7. D, (3x + 4x5) 8. D, (40x) 9. D, (E) 10. D.

A: Find your answer below 

Q: sin x sin (2x) sin (3x)dx

A:

Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two p...

A:

Q: The coefficient of z2 in the expression (a +z)5 is 640. What is the value of a?

A:

Q: Exact equations: Solve * 3xy dx + (3x²y + 4y² ) dy = 0 xy3 + y4 = c y? + y* = c

A: No option match with above two options but i am sure about the answer

Q: the curve C:r = 1+ sin e and above the line e: r= 3/4 c

A:

Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into on...

A: We have to solve integration 

Q: Graph the following of linear functions based on the method indicated. x + 3y = 9 (table of values)

A: Given problem:- Graph the following of linear functions based on the method indicated. x + 3y = 9 (t...

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find. 

Q: - Using Greens date $(x2 + y)dx bounding of the 0<x<1 and x' sysx.

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We will find the unit vector which satisfied the given condition in the following step.

Q: Consider the points A(2, –3, 3), B(3, –5,0), C(-3, –4,0), and D(3, 3, –6). (a) Find the volume of th...

A: Given problem:-

Q: Q1: Find the solution of the following Differential Equations d²y 1. + y = 6e* + 6 cos(x) dx2 d?y 2....

A:

Q: Part B Sx² + 3x – 5 13 — г3 ifæ 2 |

A: Limit

Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

A:

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

A: Let a,b,c,d are position vector of point A,B,C and D respectively. Therefore, a=2i-3j+4kb=4i-5j+kc=-...

Q: 2. 2x Vx-2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 2. Evaluate the iterated integral. b. So R dx dy -2 2х 4 a. o xy dy dx

A:

Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

A: Given: hx=1x2-14x+45   As we know that; To calculate the vertical asymptote, equate the denominator ...