2x - 3

Q: 11

A: Obtain the magnitude value of u as follows.

Q: Water drains from the conical tank at the rate of 5ftmin 14. 4 10 Exit rate: 5 ft/min a. What is the...

A: By using the concept that the sides of similar triangles are proportional, therefore, the ratio of r...

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost  

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

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

Q: k 5k! x Find the radius of convergence of- (2kk The radius of convergence is Type an exact answer in...

A: We have to find radius of convergence of series.Series is given below:

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: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

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

A: We have to plug x=5 first in the given expression. 

Q: How can I do this? Which is the result?

A: Given:The function is 

Q: Let h(r) =log2 (x - 3) + 1. a. Find the domain of h(x). b. Find the a-intercept of the graph of h(x)...

A: Given function is: 

Q: The area of a circle increases at a rate of 3 cm^2 per second. Find a) how fast is the radius changi...

A: Given information:The area of a circle increases at a rate of 3 cm square per second

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

Q: Graph the following function.  Then use geometry to find the area and net area of the region describ...

A: Graphed the lines first. Area between y=3x-6,x axis and x=8 is above the x -axis (Blue shaded area)....

Q: Find the exact length of the curve of the equation that is in the picture, make sure that you show a...

A: We first find dy/dx

Q: The following integral is  The integral of g(x)dx from 7 to 2

A: The given integrals are,

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: What's the domain of x-1 / (1 - e^(x - 3))

A: Since this function is a rational function, the denominator can't be equal to 0. 

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent  to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

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: find the critical numbers of the function g(theta) = 4(theta)-tan(theta). My question is from the sc...

A: Refer to the question as per screenshot provided, I have to answer the how the last step came.That i...

Q: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...

Q: Calculus Question

A: The given curve is,

Q: Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the sol...

A: (A)It is given that, the region bounded by y = x2, x = 1 and y = 0.The region around the line y = -8...

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

A: We first have to factor the numerator and the denominator. 

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to ...

A: The equation for the temperature of the coffee after t minutes is,

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: Logarithmic differentiation see below

A: The given function is ,

Q: A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves t...

A: Please look at thediagram on white board. I have used the diagram from the question itself and marke...

Q: If f(x) 3x-2then f(x) = x 2x+ 2x5/3 2x 2x-1 12 1+5x8/3 3x2 2x-53-3x-3/2 x2 none of the above

A: The given function is,

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A:

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

A: Calculation:The given function is f(x) = 2(5x)x defined on interval [0.05, 1].In order to find the l...

Q: Find a formula for the general term an (not the partial sum) of the infinite series (starting with a...

A: Given infinite series is, 

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval [−9,...

A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph  ...

Q: If y (in 2)2, then O 2eln 2 0 O 2 In 2 1 (in 2)2 O eln 2

A: We have to find derivative of y .Question is given below:

Q: This is solving the 2nd derivative of f(x) = x^2/ 1+e^x, and we have already obtained the 1st deriva...

A: The given function is,

Q: Suppose that the cost funtion for a commodity is  C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...

Q: A bug is moving along the right side of the parabola y = x^2 at a rate such that its distance from t...

A: Let (x,y) be a point on the parabola y=x^2. Then (x,y)=(x,x^2).Let, distance from origin= p. Given, ...

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: +2 2 1

A: Consider the integral,

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: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: Consider the region bounded above by g(x)=−9x−9 and below by f(x)=x2 −9x−18. Find the area, in squar...

A: Calculation:The given curves are f(x) = – 9 x – 9 and g(x) = x2 – 9x – 18.The area enclosed by two c...

Q: The function s(x) = 3600/(60 + x) = 3600(60 + x)^-1 gives a person's average speed in miles per hour...

A: The function of distance,

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: Kindly help

A: Given information:The given intergal is  

Q: The total profit (in dollars) from the production and sale of x calendars if P(x)= 22x-0.02x2-500; 0...

A: It is given that, the total profit from the production and sale of x calendar is P(x)=22x–0.02x2–500...

Q: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

A: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

Q: Find the point P on the line y = 5x that is closest to the point (52,0).  What is the least distance...

A: Given:The equation of the line is y = 5x.(52,0) is the closest point to the point P which line on th...

Q: I need help about solving this problem. a) How do I find the time required to reach the maximum amou...

A: Let F be the amount of fertilizer. In 1 minute 1 gallon of solution comes in and 5 gallons of soluti...

Q: This is #1

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

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.