IT InsertTable Chart Text Shape Media Comment 125%" View Zoom ShareTips Format Document Text Default* Style Layout More Find the sum of the convergent series Font Verdana 4/(9n2 + 3n-2) Regular 13 pt Character Styles None Alignment 下 Spacing 1.0 Single Bullets & Lists None* 63 words

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing   f(x) = -2 ...

A: First, we find f'(x).

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The function is defined as 

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: Need help solving the equation that is attached

A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find...

Q: Find the function F that satisfies the following differential equations and initial conditions F'''(...

A: We are given second derivative as 

Q: Calculus Question

A: The given curve is,

Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the ...

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x). T...

Q: Use the derivative f' to determine local minima and maxima of f and the intervals of increase and de...

A: When f'(x)>0 then f(x) is increasing. Answer: f(x) is increasing in (-4pi/3,-pi)U(-2pi/3,-pi/3)U(...

Q: Find the slope of the tangent line to the given polar curve: r = 2 - sin(theta), at theta = (pi/3) s...

A:

Q: Consider the differential equation dy/dt = y−y2. Given that y(0)=0.5, solve the differential equatio...

A: To find the expression for y(t) and find the limit y(t) as t tends to infinity

Q: Determine the interval(s) on which the following function is continuous, then analyze the given limi...

A: (2+2cosx) and sinx both are continuous functions. So the function (2+2cos x)/sinx will be discontinu...

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: The given curve is y = x^2/3, x=1 and y=0. 

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

A: (a)Complete the table below analytically:

Q: 5 dx In 26 In 24 '을 In 24 글 In 26 none of the above

A: Obtain the value of the integral as follows.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Given infromation:The given funcion is  

Q: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is  

Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...

A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x + 1...

A:

Q: Do the domain of the following function:

A: Consider the provided function.

Q: Which of the following is the power series representation for f(x)? A. Σ ( -1): Ο Β. Σ 11k k 0 k 0 Ο...

A: In the given question we have to find the interval of convergence of power series representation for...

Q: Help with #4

A:

Q: Find the area of the region that lies inside both curves. r = 9 + cos(θ),    r = 9 − cos(θ)

A: To calculate the area of the given region (by integration) described by polar coordinates

Q: For the following function f, find the antiderivative F that satisfies the given condition.   F(v) =

A: First, we find the general solution using integration. 

Q: Find the flux of the following vector field across the given surface with the specified orientation....

A: Let r be the vector on the surface of  the cylinder y=6x2 for 0 ≤ x ≤ 4​, 0 ≤ z ≤ 2​.Let's parameter...

Q: I need step by step with explanations, because I turned my brain off and I’m having trouble turning ...

A: (a)The function is f(x) = sin4(4x5).

Q: Determine whether the alternating series converges or diverges

A: Check whether the series is convergent or divergent.

Q: skecth the graph a) f(x)=(x-2)2(x+3)   b)f(x) = x2-1/x   c)f(x) = 2x/x2-1    d)f(x) = -23 + 7x2 - 2x...

A: To sketch the graph of given function :

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

A: The given function is,

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

A: we are given a function as 

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and sp...

Q: Activity 5 Inverse Functions and their Derivatives 10. When a camera flash goes off, the batteries i...

A: Given:The function is Q(t) = Q0(1−e−t/a), where t is the time in seconds and Q0  is the maximum char...

Q: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO

A: The given equation is y=22+x.

Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min. ...

A: Area of a circle is given byDifferentiating the function of area with respect to time:

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

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

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...

Q: Please help. Does the series below converge or diverge? Give a reason for your answer. (When checkin...

A: The given series is

Q: For the sequence 1, 4, 7, 10,..., its nth term is Preview My Answers Submit Answers ou have attempte...

A: The given sequence is 1,4,7,10, ...

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Find the area, in square units, bounded above by f(x)=6x2 −2x−19 and below by g(x)=7x2 +12x+21.

A: f(x)=6x2 −2x−19 and g(x) = 7x2 +12x+21.As a first step, we need to find the point of intersection of...

Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle: at)si...

A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get...

Q: The consumer price index (CPI) measures how prices have changed for consumers. With 1995 as a refere...

A: Given:The rate of change of CPI in dollars per year is dC/dt= 0.009t2 − 0.096t + 4.85, where t repre...

Q: Use the Divergence Theorem to compute the net outward flux of the vector field F=<x2 , -y2, z2&gt...

A: The vector field is given as

Q: Kindly help

A: The Taylor series can be obtain as follows.

Q: Determine the radius and interval of convergence of the following power series. к?(- 5)2к k! The rad...

A: Given,

Q: Find f'(x) for f(x)=tan^3x+tan(x^3)

A: The function is given by,

Q: Use the table feature of a graphing calculator to predict the limit. Check your work by using either...

A: Step 1: Go to "Y=", then type in the function 3 + x − x2   Step 2: Go to "TBL SET" (2nd+WINDOW), the...

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

A: The definite integral is given as

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [...

A: Definition used: Mean Value Theorem

Q: I need D,E,F

A: (D) When the object strick ground then s=0Answer(D) The object stricks ground at 60 s.