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Q: Use Green's Theorem to evaluate the line integral oriented counterclockwise. Please refer to attach...

A: Given information:The circulation of the line integral of F=<3x^2, 6x^3+y>. where C be the bou...

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

A: Click to see the answer

Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3

A: Given:The integral is

Q: Differentiate the function. s(t) = 7t − 2(3t4 + 4)3

A: The differentiation of the function with respect to t as follows.

Q: The sales of a product S(in thousands of dollars) are given by S= 600x/x+40 where x is the advertisi...

A: Given:The function that repesents the sales of a product S is

Q: Need a,b, and c please!

A: The given equation is s = –0.2t2 + 12t and the velocity is v =12 m/s. a. Obtain the velocity v of th...

Q: Find the exact value of log10(15/4)+log10(4000/15)

A: Given information:The given expression is

Q: Please help

A: Since f(x0,y0) is minimum of f(x,y). Then g(0) is minimum of g(t). That means g(0)<g(t) for t any...

Q: Find the point on the surface x2 − 2xy + y2 − x + y = 0 closest to the point (3, 4, −5).

A: Consider the provided surface

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: All boxes with a square base, an open top, and a volume of 210 ft cubed have a surface area given by...

A: Approach:As a first step we will differentiate the given function and equate it to zero to find all ...

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: Is y=e2x +4x+3 a solution to the differential equation shown below? y′−2y=−8x−2

A: To test if the given function is a solution of the given differential equation

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x.

Q: How can I get the result?

A: We used a calculator to find the values for the table. And rounded each value to 4 decimal places. ...

Q: Assume a person invests $12000 at the end of each year for 30 years at an annual interest rate of r....

A: Part (a)The future value amount should be equal to A = $ 1,000,000.Please see the white board.The mi...

Q: #28 please

A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...

Q: p(q)=2q2-4q+5; q=2 (a) Find the derivative, by using the definition. (b) Find the instantaneous rate...

A: Part (a)The derivative of p(q) at any point q, by using the definition, will be given by the express...

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...

A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...

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

A: The given equation is,

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 4. ...

A: Given information:The value of n is 4.

Q: Which of the following is the power series representation for f(10x)? O A. B. 10k co (1-(10x*) In k ...

A: The power series representation for f(10x) is,

Q: Consider the function g(x) = |(x^2 - 4)/(x+3)| do the following: a) Give the domain of the function ...

A: a) First obtain the singularity for the given function as follows.The denominator of the given fract...

Q: Use the graph off and f' to find the critical points and inflection points of f, the intervals on wh...

A: Finding the critical point

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

A: Given information:The given integral is

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

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

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: 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: Logarithmic differentiation see below

A: The given function is ,

Q: please explain how to solve this

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

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

Q: 13. The cost of producing x ounces of gold from a new gold mine is C= f(x) dollars. (a) What is the ...

A: Given cost function is:Cost of producing x ounces.

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

A: The given integral 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: How do you set up the integral?

A: Given a triangle with function and the vertices,

Q: Find the average value of the function over the region R. Please refer to picture.

A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

Q: find the inverse of y from the function that is in the picture below

A: Giveninformation:The given function is

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve a...

A: The given curve is,

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

Q: Help me please

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

Q: Evaluate the integral. Please refer to image.

A: Obtain curl F as follows.

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: Help please..

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

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″ What is the order of the differential equation shown above?

A: The given differential equation is, 8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: Question 2 Pratice

A: Part A

Q: Please help me on how to perform a test to determine if the equation converges.

A: The integral is given as

Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)

A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn i...

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second square...

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)