Use the formula A = ?d2 for the surface area A of a sphere whose diameter measures d. This formula yields the surface area in square units. The Hoberman Sphere is a mechanical toy that expands from 5.9 inches in diameter when it is fully closed, to 30.1 inches in diameter when fully expanded.† What is the difference in the surface area of a Hoberman sphere from when it is

Q: 2n+1 In Section 8, Example 2, if you follow the same procedure for the result is Зп-5 N = + ??? 9e 3…

A: Introduction: The theory of functions' limits is the foundation of calculus because these are the…

Q: Find a particular solution Xp (t) to the inhomogeneous second order linear differential equation x"…

A:

Q: A company that produces skis has the Cobb-Douglas production function Q=f(x,y)=180x0.7y0.3 , where Q…

A: The product function is given by, Q=fx,y=180x0.7y0.3 Here  Q is the number of pairs of skis…

Q: 1-Determine if W is a subspace of Mnn CEMnn, W = {AEMnn : CA'C²= A} %3D

A: It is given that W=A∈Mnn : CAtC-1=A, where At is the transpose of the matrix A. We have to determine…

Q: 1. The graph shows two accounts with the same principal and annual interest rate. Use the graph to…

A:

Q: 1375 Q1. Arrange the following fractions 3 in descending order. LCM of 2,4,8 and 12 is 24 Q2. Write…

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

Q: y = A J,() dx Ex. 7. Show that +B J„(x) is the complete solution of Bessel's xJ(x) equation.

A:

Q: Nathan invested $3,500 in an account paying an interest rate of 3.5% compounded quarterly. Assuming…

A:

Q: Take the Laplace transform of the following initial value and solve for Y(s) = = L{y(t)}: S sin(nt),…

A: Solve the differential equation, by using Laplace transferom

Q: Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. y(x) =…

A:

Q: An engineer found that by including small amounts of a compound in rechargeable batteries for…

A:

Q: 5. Sigrid is building a hexagonal gazebo. The gazebo is to be 10 feet across the diagonals. a. How…

A: Consider the hexagonal gazebo which is 10 feet across the diagonals. a. to find the length of each…

Q: what is the solution

A: The series diverges.

Q: Prove if f is a nonnegative measurable function, then there exists an increasing sequence (ϕn) of…

A: The given question is related with measure theory. Suppose that f is a non-negative measurable…

Q: 1. Evaluate the line integrals x + Y ds and

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

Q: Dept. A. A. 250 25 240 125 400 335 C 100 225 125 285 175 Construct the following:

A: Solution

Q: 12. The cables of a suspension bridge are in the shape of a parabola. The towers supporting the…

A:

Q: There are infinitely many primes of the form 4k + 3, where k E N. False O This option True This…

A: The given problem is to check whether the given statement is True or False. Given statement There…

Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open…

A: Given: A cafe estimates a monthly profit, P(x, y)=27-x2-y2+6y and the region D=x, y∈ℝ2 : x2≤y≤4. To…

Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t - 1)2, the position…

A: Given ,  s(t) = 64 - 16(t-1)2

Q: Let V be a vector space, and T :V → V a linear transformation such that T(501 + 302) = 4®1 – 402 and…

A: Given  V be a vector space and T:V→V be a linear transformation such that  T5 v1→+3 v2→=4 v1→-4 v2→…

Q: You need to find the directional derivative of the functian f(x,y) = tan" (x4) at the point (2,2) in…

A: Directional derivative of the function at point in the direction of the unit vector

Q: Find the first four nonzero terms of the Taylor series about 0 for the function f(z) = z sin(5z).…

A: To find the first four nonzero terms of the Taylor series about 0 for the below function. fx=x5sin5x

Q: 1 2 3 A =2 2 8 10 3 3 10 13

A:

Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

A:

Q: Factor 11 + 3i in Z[i] into indecomposable Gaussian integers. Hint: use the norm to guess factors.

A: Using the norm to guess the factors.

Q: 5.The sum of 100 real numbers in a given set X equals zero. Prove that the sums of at least 99 pairs…

A: Let set X=a1,a2,a3,…,a100 such that a1+a2+a3+⋯+a100=0. To prove that the sum of at least 99 pairs…

Q: A 6-month $13,500 treasury bill with a simple annual discount rate of 0.41% was sold in 2016. Assume…

A: Given  Future value (FV) = $13500 Number of time period (n) = 6 months =12year annual discount rate…

Q: Take z in W", and let u represent any element = is in wt) Take z, and z in w", and let u be any…

A: Introduction: There are two vectors x,y∈Rn, if they are orthogonal or perpendicular x·y=0. Notation:…

Q: Activity IV. Determine the truth value of each item. A. If X and Y are true statements and A and B…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: 1. Represent each of the following sequences by a formula, a, = f (n), with the given starting…

A:

Q: there is at most one polynomial of degree less than or equal to n_____ option,(a) which interpolated…

A: Using interpolation theory, We need to check which option is correct.

Q: 1 [-1] 2 Let 2 , v2 0 ,V3 = where S = {v,,v,,v,}. %3D 3 Is V4 linear combination of V1, V2, V3?…

A:

Q: Question 3 Solve the following D.E sin x dy +2y = tan 3 x dx 1 Add file

A:

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A:

Q: SO, 18, 0st<1 y' + y = f(t), y(0) = 0, where f(t) t2 1

A:

Q: Q) find Fourier series on [-T,"] (1) f(x)=7–x

A:

Q: Find the matrix A of the linear transformation T from R? to R² that rotates any vector through an…

A:

Q: Σ 1 n=0

A: Integral test for convergence

Q: () - (" ;')-(,".) Show that: n+1

A:

Q: 1. Consider the following vectors in R³: 2 3 y= |1 3 -1 2 -4 Which of the following equals ||||7|T –…

A: According to Bartleby guidelines we can solve only the first question, in next step see the…

Q: Use the information provided to write the standard form equation of the hyperbola. Vertices: (9, 7)…

A:

Q: graph of the polar equation “ r=1+cos 0"

A: To plot the graph of the below polar equation. r=1+cosθ

Q: Using mathematical induction, prove that 3ⁿ < n! if n is an integer greater than 6.

A:

Q: 4 5) If L f(t) es find L f(4t) Ans. e s

A: Laplace transferom of change of scale property

Q: -2 -5 8 0 0 -17 3 -5 1 Consider A = 3 11 -19 7 1 7 -13 5 -3 a. Find the basis for, and the dimension…

A:

Q: 7) What is the result of adding 35 to -35? A) -70 B) 0 C) 35 D) 70

A: 35 + (-35) = ?

Q: f(x, y) = (-x – 2y, x – 4y).

A: Follow the steps.

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

A: Introduction: The maxima and minima of a function, commonly known as extrema in mathematical…

Q: LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS AND WITH HOMOGENEOUS AND NON-HOMOGENEOUS…

A: