Obtain the differential equation of the family of circles of fixed radius r with center on the x-axis and compute for the positive value of y when the slope dy/dx = 1 and the radius r=4. Use 2 decimal places.

Q: Question 8 of 9

A:

Q: Solve the given initial-value problem. (x + 1) dy + y = In(x), y(1) = 25 dx y(x) = Give the largest…

A:

Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

Q: Question 9 options:   A company surveyed employees about how they travel to work. 47 employees…

A: From given information

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+ + +. 4 16

A:

Q: B/ Find the Laplace transform of f(t) defined as: f(t) = (t-1, (3-t, when 1< t <2 when 2 < t <3

A: Let's find laplace transform of given function.

Q: Determine the least upper bou You must fully justify your an

A: We have to find least upper bound of the given set

Q: fsecxdx = In Isecxt tanx | te

A:

Q: 8. f"(x)= 1 2 f'(-1) = 2; f(-1) = 4 x²

A:

Q: 3. arctan[2 cos()] is equal to: 2

A: Solution :. Given that

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A:

Q: (k) y dx + x dy = 0 separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

A:

Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

A:

Q: 2/ If it was AA¹ 2 A true Error д 2 -7 5 الموضوع -4 SO

A:

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A:

Q: Let A = {3, 5, 7, 9, 11}B = {9, 11, 13} C = {3, 5, 9}D = {13,11} Select all of the following that is…

A:

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 5. What is the derivative of In(x)? B. 1/x A. xin(x)…

A: Let's find derivative of both questions.

Q: What is T₂(x) centered at a = 3 for a function f(x) such that f(3) = 9, f '(3) = 8, f "(3) = 4, and…

A:

Q: 7. What is the correct expression to find the 8th term in the 12th row of Pascal's Triangle? A. 1C₂…

A: Option (B)

Q: Given : f(x) = │x-5│ 14. Find ∫ 86│x − 5│dx

A:

Q: B: Solve the following differential equation by Laplace: ²+2+5y = e-¹ sint .y(0) = 0,(0) = 1 dx

A:

Q: An NHL playoff game has an average decibel level of 105 dB. To protect one's hearing, specialists…

A:

Q: Find the value of y at the point on the ellipse x² + y² = 1 16 where the maximum of the function…

A:

Q: 9) xdy- ydx = (x² + y²) e* dx

A: Let's solve given diffrential equation.

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: This is a problem related to numerical method. Based on the general formula and concept of lagrange…

Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Let's solve.

Q: se the difference an+1 - an to show that the sequence {n-9"} n=1 s strictly increasing or strictly…

A:

Q: ue of the integral. Explain why the inequality below is true for x > 0. ex e* (sin²x) e2x +3+x² ≤…

A: Given

Q: An object is moving with V(t) = 3t and the position X(0) = 2. What is the position of the object at…

A: Given :v(t)=3t13x(0)=2

Q: Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for EINEIN -…

A: Given : f(x)=-1 for -pi&lt;x&lt;-pi/2 f(x)=0 for -pi/2&lt;x&lt;pi/2 f(x)=1 for pi/2&lt;x&lt;pi

Q: Find the horizontal and vertical asymptotes of f(x). f(x) = 6x x+4 .….. Find the horizontal…

A:

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

A: Given equilateral triangles congruents to triangle BSR  and OS = a          OT = b

Q: 4 3 2 1 1 1 2 3 4 5 5 of To find the blue shaded area above, ·b

A: We are asked to find the area of the shaded portion

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ *** 4 16 +

A:

Q: State the order of the given ordinary differential equation. Determine whether the equation is…

A: We are asked to find the order of the given ordinary differential equation

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A:

Q: Use the limit comparison test to determine whether the series converges 1 k=√125k² - 2k The series…

A:

Q: Which of these series, if either, diverges? 8 LΣ(1) 11. Ž(-1)^ (77) K²-1 k+1 k k=1 k=1 A. I only B.…

A: We need to choose correct option.

Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? 5- X O 5 3 0 1 4321 -5…

A: This is a problem related to integral. Based on the given data and graph we will answer the…

Q: Ps(x) = p4(x) = = DA + k = =

A:

Q: For which of the following is the Ratio Test inconclusive? 1 Α.Σ B. C. IM8 IM8 IM8 IM8 -ม 2" 1 n2" 1…

A:

Q: Z=√2(cos135+isin 135)

A:

Q: y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A:

Q: Calculate the following limit: lim (x,y) →(-1,1) 3y² + 3xy - x - y x³ + y³

A: Given, limx, y→-1, 13x2+3xy-x-yx3+y3

Q: So ty 1-x² dx

A:

Q: The interest on an account increases exponentially. If an initial investment of $1000 earns $120 in…

A: Rate of increase

Q: Complete the explanation of how to map one triangle onto the other. 8 in. 4 in. 4 in. 7 in. and then…

A: We need to choose correct option.

Q: cot t(²7) + cos (7) sec (7). DO NOT RATIONALIZE. sin (5) c

A: To solve the following, using exact values.sin5π4 cot2π3+cosπ3 sec7π6

Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

A:

Q: Evaluate 3 J (nay) dv 11. Gr kabriod if G. is the solid bounded by the parabolic cylinder 2=7³3 J my…

A: We need to find volume.