Start your trial now! First week only $4.99!*arrow_forward*

Question

The ellipse (x2/16) + (y2/9) = 1 is shifted 4 units to the right and 3 units up to generate the ellipse

(x - 4)2 /16 + (y - 3)2/ 9 = 1.

a. Find the foci, vertices, and center of the new ellipse.

b. Plot the new foci, vertices, and center, and sketch in the new ellipse.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: х on the interval [2, 6]. 11 The rectangles in the graph below illustrate a left endpoint Riemann su...

A: The formula to calculate the Riemann Sum using left end points is given as,

Q: The life expectancy in years of a component in a microcomputer is exponentially dis-tributed, and 1/...

A: Click to see the answer

Q: A deep-dish apple pie, whose internal tempera-ture was 220°F when removed from the oven, was set out...

A: Newton’s law of cooling:

Q: consider the equation f(x) = 2x2 - x Find the net change between x = 3 and x = 6

A: Given equation:

Q: What are the Ratio and Root Tests? Do they always give you the information you need to determine con...

A: A mathematical series can be convergent or divergent subject to certain conditions. Ratio test and t...

Q: Consider an object moving along a line with the given velocity v. Assume t is time measured in secon...

A: To determine when the motion is in positive direction and when it is in the negative direction.The v...

Q: dr/dθ=r2/θ, r(1)=2

A: Click to see the answer

Q: Use the given transformation to evaluate the integral. lr a?dA, where R is the region bounded by the...

A: Given,

Q: In the function: f(x)= (3x^2)ln(x) , x>0 When is the function concave up and concave down in int...

A: For concavity we need second derivative.

Q: Looking for help for all of the questions with lines next to them.

A: Since you have asked multiple questions, we will solve the first three questions for you. If you wan...

Q: Find the value of c so that ƒ(x) = csqrt(x)(1 - x) is a probability density function for the random ...

A: Write the given expression and simplify it using the definition of probability density function.

Q: Replace the Cartesian equations in Exercises 56–61 with equivalent polar equations. 56. x - y = 3 57...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: In the function: f(x)= (5x)/((x^2)-25 How do you find the x-values of the inflection points? Wher...

A: Given function is,

Q: Consider the initial value problem y′+12y=2 cos t,y(0)=−1. Find the coordinates of the first local m...

A: First of all, consider the general form for first order integration and the given equation.

Q: Suppose that a sum S0 is invested at an annual rate of return r compounded continuously. a.Find the ...

A: Click to see the answer

Q: (2x? + 3x + 1) dx 3 (a) Find the Riemann sum for this integral using right endpoints and n = 3. (b) ...

A: (a) Obtain the Riemann sum for the given integral using right endpoints and n = 3 as follows.

Q: Let f(x) = {4x-5, if x <= 7 -3x + b, if x > 7 If ?(?)f(x) is a function w...

A: Click to see the answer

Q: 3. Write the function defined by fx) = -2x2- 12x in vertex form and identify the vertex of the parab...

A: Given,

Q: slove the differential equation y′ = xy ln x ln y

A: Given:

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of ...

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is fu...

Q: Given the cost and price functions C(q)-100q+49,000 and p(q)=-2.6q+870, if the company sets the pric...

A: Given

Q: Write equations for the asymptotes for the graph of 2 + Sr - 3 f(x) =

A: Click to see the answer

Q: What is the limit when x is approaching negative infinity when the function is (8x+2) / (4x-5)

A: Given

Q: The temperature of an ingot of silver is 60°C above room temperature right now. Twenty minutes ago, ...

A: Given,The temperature of an ingot of silver is 60°C above room temperature right now and it was 70°C...

Q: consider the equation f(x) = 2x2 - x find the average rate of change between x=3 and x=6

A: Click to see the answer

Q: Solve the initial value problem and determine where the solution attains its maximum value.

A: To determine the solution of the initial value problem and determine its maximum value.

Q: The region in the first quadrant that is bounded above by the curve y = ex - 1, below by the x-axis,...

A: Express the integral as below.

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re...

A: Sketch the integrant as shown below.

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population increase...

A: Given:At the end of 3 hours there are 10,000 bacteria.At the end of 5 hours there are 40,000 bacteri...

Q: Let ƒ(x) = c/(1 + x2) . Find the value of c so that ƒ is a probability c density function. If ƒ is a...

A: Write the given expression and simplify it using the definition of probability density function.

Q: Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200...

A: Consider Q(t) be the amount of dye present in the tank at any time t.Given that initial the tank con...

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - ...

A: The given function is,

Q: What is a monotonic sequence? Under what circumstances does such a sequence have a limit? Give examp...

A: The monotonic sequence theorem:

Q: What are the six basic hyperbolic functions? Comment on their domains, ranges, and graphs. What are ...

A: The six basic hyperbolic functions are sinh(x) , cosh(x) , tanh(x) ,csch(x) , sech(x) ,coth(x)

Q: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the...

A: We need to find the volume of the solid generated by revolving the region in the first quadrant boun...

Q: 2人+人 2X PM the From Pi (x,,y,z,) to Pz (xz, Yz, Zz Prove that the Midpoint of the line Ssegment 12 w...

A: Let the 2 points in the line segment be,

Q: Consider the following. 2x2 - 4x - 30 lim Find the limit of the function (if it exists). (If an answ...

A: Given,

Q: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...

A: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...

Q: Does a Taylor series always converge to its generating function? Explain.

A: Click to see the answer

Q: Solve the initial value problem y′=2y2+xy2,y(0)=1

A: Given,

Q: What is an infinite sequence? What does it mean for such a se-quence to converge? To diverge? Give e...

A: Infinite sequence:

Q: Find all real solutions of the ordinary differential equations: y''+4y=x

A: The general equation of the solution is,

Q: Solve the homogeneous equations (x2 + y2) dx + xy dy = 0

A: Click to see the answer

Q: Consider the initial value problem y′+12y=2 cos t,y(0)=−1. Find the coordinates of the first local m...

A: Given:

Q: Solve the differential equations in Exercises 1–4. 1. x dy /dx + y = ex, x> 0 2. xy′ + 3y = sin x...

A: Consider the provided differential equation,