The function s(t) represents the position of an object at time t moving along a line. Suppose s(2) = 136 and s(3) = 156. Find the average velocity of the object over the interval of time [1,4].

Q: If y x4x+3, then 2ix+3ix3 2i 3ix3 O (4x+1)/4x+3 2Ax+3 2x vi3Ar3

A: The function is given by,

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.

Q: domain of  a.radical(5-x) - radical(x2-9) b. radical(-x3+5x2+9x-45)

A: a). Given 

Q: Use​l'Hôpital'sRule to find the following limit.

A: To use L'Hopital's rule we try to get 0/0 form or infinity/infinity form first. We write x^2*cotx as...

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3  - 12x2  + 5x + 3) as f(x)

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...

A: First consider:

Q: Let G=3f-g, where the graphs of f and g are shown in the figure.  Find the derivative. G`(2)

A: G(x) = 3f(x) - g(x)we have to find the derviative of G(x) and x = 2

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: How can I get the result? Which is the result?

A: Use online graphing calculator to graph of the function.

Q: Can somebody help me on how to evaluate the integral.

A: Refer to the question, first evaluate the given integral in indefinite form that is with the limits.

Q: Help me please

A: The general Taylor series for sin x at x = 0 is as follows.

Q: please explain how to solve this

A: (a)We are given graphand we can locate upper and lower curves on different regions

Q: Help me with this please..

A: The nth term test is given by;

Q: Kindly help

A: Refer to the question, we have to calculate the Taylor series for the provided function,

Q: Consider an object moving along a line with the following velocity and initial position. vit) 9-t on...

A: Consider an object moving along a line with the velocity and initial position.

Q: Please sketch this by hand! And show all your steps as im doing my best to fully understand the proc...

A: (A) The function has an absolute maximum but no local maximum. This means the graph is strictly incr...

Q: Part d and e

A: (D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and...

Q: Which is the result?

A: We are given a function as 

Q: Use a reference triangle in an appropriate quadrant to find the given angle.

A: The given equation is,

Q: Find the relative maxima, relative minima, and points of inflection, and sketch the graph of the fun...

A: Please see the white board for derivative of y, expressed as y'

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: f(x) = 12 − 2x   if x < 2 and x2 − x   if x ≥ 2We have to find lim x→2 f(x)

Q: For the given 2D flow fields: Find the divergence Sketch the velocity field a) v(x,y)=(vx(x,y), vy...

A: To find the divergence and sketch the velocity field of the following 2D flow fields.(a) v(x,y)=(vx(...

Q: Please be specific. Convergent but A? C? F?

A: We are given a series as 

Q: Find the function represented by the following series and find the interval of convergence of the se...

A: The function is given by,

Q: Find d^2y/dx^2 as a function of t, for the given  parameteric equations written below show all work ...

A: From the parametric equation, the derivative dy/dx can be calculated as follows.

Q: 11

A: Obtain the magnitude value of u as follows.

Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5

A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first. 

Q: e) 1-5x - 31 8 nD 14-0.5x| 2 8 nos AR ) D6). C-17.3.), B(0,7.51 bo g) 4>-3x - 51 9-th onanibuoos-X 3...

A: You have asked a series of independent questions. I will address the first three parts. Please post ...

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A:

Q: How can I get the result? Which is the result?

A: The definite integral is given by,

Q: Find (f•g)(x) and (g•f)(x). f(x)=4, g(x)=0.25

A: It is noticed that the given functions f and g are constant functions. So, both of the functions are...

Q: The question asks: Simplify the expression, and eliminate any negative exponents. Assume that all le...

A: Yes, you are right. We add the exponents because the bases are same. 

Q: Differentiate xy^2+tan(y^3)=10y

A: Consider the given expression:

Q: Help with #5

A: Given curve: r(t) = (2cost)i + (2sint)j + tkRecall the expressions for unit tanget and principal uni...

Q: I need help with this please. How do I find the volume generated by revolving the region bounded by ...

A: Given information:The region bounded by y = -sinx and y=0, from x= -2pi to x=0, about the x-axis

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O...

A: The curve is given by,

Q: Help please

A: The given series is

Q: Convert the double integral into a type II double integral

A:

Q: :)

A: Given:The given curves are y = x2, x = 1, and y = 0.The volume of the solid revolved around the line...

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Consider the provided curve:

Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time...

A: Given:The rate of change of concentration of a drug in blood with respect to time t is 

Q: Please help. Find the values of x for which the given geometric series converges. Also, find the sum...

A: (a)Consider the given geometric series:

Q: How can I get the result? Which is the result?

A: Please see the picture on the white board. I have used the picture in the question and marked all th...

Q: Use Green's Theorem to evaluate the line integral. Assume curve is oriented counterclockwise. C is t...

A: Let's compare the given integrand with the standard form.(2x + ln 2)dy - (8y2 + sinhx)dx =Q.dy + P.d...

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as  

Q: How can I get the result? Which is the result?

A: We have to find limits.Question is given below:

Q: (x4x2.3) dx = O 5x5-33+3x+ C 4x3 -2x +C 3 3x C 3 4x3 - 2x C (x4-x2+3)2 C

A:

Q: find the exact length of the curve of the equation below, show all work y = ln(sec(x)), with a range...

A: First, we find the dy/dx

Q: Hello,  find the exact value of each of the following under the given conditions.  sin alpha=3/5, 0&...

A: We have to find value of tan(alpha-beta).Information is given below:

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Exponential Growth Model

The relation that represents an exponential function is: