2. In class we saw that a circle centered at the origin is symmetric about the z-axis, the y-axis, and the origin. Can you find an example of a circle that is symmetric about the y-axis, but not the r-axis? Sketch a graph of the circle, and find its equation 3. Let f(x)-32+2 (a) Find fx+h). Simplify your answer completely. the expression . (This expression is called the difference quotient of f, and you will see it again in calculus!)

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

A: The given function is given by

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

A: The given equation is,

Q: For  y= (x^4/4)-(x^3/3)-2   (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...

A: We are given a function  

Q: Please show as much steps as possible as I am doing my best to fully understand how to solve these t...

A: Given function is, 

Q: please explain how to solve this problem

A: Consider x be the number of times the price is reduced by $0.05.

Q: How do you set up the line integral for y=x(6-x) boundary?

A: The vector field is given by,

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the locomotiv...

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A ...

Q: The problem and graph are imbedded in the image.

A: Given information:An arch is 645cft high and has a 600ft base. It can be modeled by the parabola  

Q: Please help me solve this differential equation.

A: Let, z=x-y

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: Perform a first derivative test on the function f(x) 2x3x-12x +6, [-2,4]. a. Locate the critical poi...

A: (a)Locate the critical points of the given function f(x)=2x3+3x2–12x+6 on the interval [–2,4]. 

Q: For the function y=x-1/3x^3 (a) Find the coordinates of the relative maxima, relative minima or hori...

A: (a) The function is given as

Q: how to find  Find the area of the region enclosed by one loop of the curve. r = sin(4θ)

A: The given curve is r= sin4thetaArea of the curve enclosed in the first loop is,

Q: 3x2-3 and y(0) = 8, then y(1) = If dx 4. 12. 0. 8 6.

A: As a first step, let\'s rearrange the term. Please see the white board. 

Q: dr A manufacturer of a product has a marginal revenue function given by 20070q -3q. The demand funct...

A: The marginal revenue  function r(q) is 200 + 70q – 3q2.

Q: Answers for 10-12

A: We will solve Q-10  

Q: a) and b) please

A: Part (a)The population of the town in 2016 is 63,000 and the growth rate is 2.3% per year.

Q: 2 -4 0 such that f(x)-4 0, make a conjecture about the value of 8 that satisfies the preceding ineq...

A: For part a, bAccording to epsilon delta limit.Let f(x) be the function defined on an open interval a...

Q: A car is traveling at a rate of 23 kilometers per hour when t=7 hours. The acceleration of the car i...

A: To calculate the velocity from the given data 

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

A:

Q: Help please..

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

Q: How do you set up the integral?

A: Given a triangle with function and the vertices,

Q: Evaluate the integral in cylindrical coordinates. Please see attached image.

A: To calculate the value of the integral in cylindrical coordinates which is shown below,

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them. 

Q: Help with #8

A: Let's understand the formula for calculation of curvature.For a function, y(x) the curvature is give...

Q: Please help me about this.

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

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: I have trouble with second derivatives. I need help from my last step on please.

A: Given equations are,

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

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: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation. 

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: Calculate the area, in square units, bounded by g(x)=4x−2 and f(x)=5x−15 over the interval [−11,4]. ...

A: Area of region between g(x) and f(x) over the interval [–11,4] is computed as follows.

Q: A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi...

A: To find the position function we integrate velocity function and use s(0)=2.Answer(A): Position func...

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

A: Given:The integral is 

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

A: We are given a series as 

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: Which of the following is the power series representation for f(x)? O A. B. 1 4k X Σ 4k k 0 1-x k 0 ...

A: Consider the power series representation for f(x4):

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

A: Given information:The given integral is  

Q: Logarithmic Differentiation - See attachment

A: Find the derivative of the given function.

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: Use spherical coordinates to find the volume of the region outside the cone phi= pi/4 and outside th...

A: To calculate the volume by using the spherical coordinates of the region outside the cone φ=π/4 and ...

Q: If y (x25x-1)e2x then y (3x2-10x+7)e2x O (2.7x+4)e2x O(22+ 12x + 3)e2x (2x+5)32x (2x 52-1

A: Given, 

Q: Suppose that the revenue function for a certain product is given by  R(x)= 15(2x+1)^-1 + 30x-15 wher...

A: We have to find (a) The marginal revenue when 2000 units are sold.(b) How is revenue changing when 2...

Q: 3ln xy′−9x2 y′=4x4  What is the order of the differential equation shown above?

A: The given differential equation is ,3ln xy′−9x2 y′=4x4  The order of the differential equation is th...

Q: Calculus Question

A: Let's call the given integral as I. Further let's make the substitution: x2 + 1 = zHence, 2xdx = dzP...