12. A circular flowerbed is 6 meters in diameter and has a circular sidewalk around it 1 m wide. Find the area of the sidewalk in square meters.

Q: 1. Let f be a differentiable function everywhere and let p be a constant. Define a function g by…

A: Certainly! Let's prove the statement. If has an extremum value at , then the derivative of at is…

Q: equations: +3y 2y 3x+10y X -X 2z + 4z = - - Z = = -1 10 18

A: (A)        Express the given system in matrix form as AX=B                 where  ,    and…

Q: Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace a. Find a nonzero…

A: Let   be the  vector  space  of   symmetric matrices.Suppose  that Then,               a) Choose .…

Q: Graph the following system of linear inequalities. What are the corner points of the system? Next,…

A: Graph the following system of linear inequalities.What are the corner points of the system?Next,…

Q: Explain how you know this is NOT the graph the reciprocal function of y = (x + 3)4. 0 6

A: Explain how we know that this is NOT the graph the reciprocal function of .

Q: Haggis Supermarkets (HS) have purchased 6 liters of irn bru from a local producer. Each liter of irn…

A:

Q: Solve the equation O a) no solution Ob)x= ± √√5 c) x=0, x= 5 O d) x=-5±2-√/5 x+1=x+5-

A: We have to solve a fractional equation

Q: 22.3 Let E= Q(√2,√√3, √5). Find [E: Q] and a basis for E over Q.

A: Let .Find  and find a basis for  over .

Q: How much money should Ariel invest today in a fund that earns interest at 3.18% compounded…

A:

Q: Use the Integral Test to determine whether the series is convergent or divergent. 1 8x+2 O Converge…

A:

Q: -3x The region R in the first quadrant is bounded by the coordinate axes, the curve y = e x = 6. The…

A:

Q: Evaluate the following integral. |2|=4 eiz sin z dz

A:

Q: 5. Let X be the set X = {1,2,3}, and let R be the relation defined on X by x₁ Rx₂ if x1 + x2 3. (a)…

A:

Q: Use row operations to solve the system.   x+y-z=10 2x-y+z=-4 x-4y+3z=-41       Question content area…

A:

Q: I'm doing a worksheet with almost the same exact problems. But for part a of the question for my…

A:

Q: Hence find a general solution of the equation 2 1 w" () - ¹ ()² = ² 2. w' w'

A: We have to find the general solution of the equation It is given that  and

Q: Suppose ƒ : E → R, p is a limit point of E, and lim f(x) exists. Prove that there exist x-p M> 0 and…

A:

Q: The function that relates the inverse of speed (1/5) (i.e., the time in minutes that it takes to…

A: Given Information:Reciprocal of speed function with respect to the traffic volume  is .The traffic…

Q: Approximate the mass of the homogeneous lamina that has the shape of given surface S and density…

A:

Q: o(n) n = 7680 12121

A:

Q: Let B be a 58 x 58 matrix. Furthermore, let A and C respectively denote the adjoint matrix and…

A: The objective of the question is to find the relationship between the determinant of the adjoint…

Q: You are purchasing a car and have the option to pay $25,000 in cash (upfront) OR assume a lease with…

A:

Q: Exercise 5. Find the equation of the circumference whose center is on the axis and that passes…

A:

Q: Determine how many non-negative integer solutions there are to x₁ + x₂ + x3 + x4 = 8? How many…

A: The equation The number of non-negative integral solution to the equation is given byIn our case The…

Q: 16. Find the general solution of y"-9" + 15y + 25y = 0.

A: Since you have posted multiple questions,we will provide the solution only to the first question as…

Q: 8. Consider the set of 4-th degree polynomials S = {t4 + t, 3t³ - 1,5t², t + 2} a. Is the set S…

A: Given set S=Let us consider the relation , So, the set  S is linearly independent .

Q: Could you explain to me how to find the inverse Fourier transform of the function __ (w+4)² 32 a.…

A:

Q: Determine the value of v that minimizes E.

A: Given that the problem is : Differentiating the E(V) :

Q: Find the unit vector a that points in the same direction as PQ where P(-2, 3, 8) and Q(-5,4,-4). a=…

A:

Q: Give examples of functions f and g such that f and g do not have limits at a point c, but such that…

A:

Q: 3. Suppose that n is an odd positive integer and write o(n) a b n with ged(a, b) = 1. Show that the…

A:

Q: Question 2: Dwayne Jetski is a famous hockey player who has a powerful (though sometimes wild) slap…

A: The binomial probability is used when there are a fixed number of independent trials (in this case,…

Q: 4.5.) Diagonalizability of a matrix is unrelated to its invertiblity Determine for the following…

A: We have to determine the following matrix is  diagonalizable or not and invertible or not

Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

A:

Q: A campus club needs to elect four officers: a president, a vice president, a secretary, and a…

A: The objective of this question is to determine the winners of the four positions in the club using…

Q: Solve the system by any method.   x−5y+2z= 1 3x−2y+2z= −2

A:

Q: 11. Use Jacobi's method and Gauss-Seidel to solve -4 2 0 2-4 0 0 0 0 0 0 0 0 2 0 0 20 2-4 2 0 0 0 0…

A: Introduction:The Gauss-Seidel method is a numerical algorithm used to solve linear systems of…

Q: 1. [Discrete Math Review]: (a) Using induction, prove that for any r #1 and any integer k > 1, we…

A: Since these are multiple questions as per our guidelines we can solve only first one.Kindly repost…

Q: How about 8-10? Will surely give a thumbs up afterwards.

A:

Q: Given the vector field (yz, xz, xy) find a potential for this field.

A:

Q: Use a calculator or program to compute the first 10 iterations of Newton's method when they are…

A:

Q: Solve the following inequalities using an algebraic method. a) (x² + 2x) (x² - 9) ≤0 b) x²+2x-8…

A: It is a way of solving inequality of rational function. In this method find zeros of numerator and…

Q: 6. 4 Give an example of a graph Gsuch that (a) both Gand Gare Eulerian. (b) Gis Eulerian but Gis…

A: (a) Both G and  are Eulerian.Consider a complete graph on four vertices, denoted as ​. A complete…

Q: 27 2 Sin ²0 a+bcose do a>bso

A: Let the given integral is…

Q: Solve the following by setting up the proper equations to describe the facts given and then carrying…

A:

Q: A restaurant offers a special pizza with any 4 toppings. If the restaurant has 16 topping from which…

A: The objective of this question is to find out the number of different special pizzas that can be…

Q: 7.5. It's a rough approximation, but let's treat a spinning ice skater as a solid cylinder with a…

A: It's a rough approximation, but let's treat a spinning ice skater as a solid cylinder with a radius…

Q: t YA Find t and the terminal point determined by t for each point in the figure, where t is…

A: The general point on a unit circle is

Q: 3) Which of the series converge absolutely, which converge conditionally, and which diverge? Give…

A: Given altenating  series     we know that a series  is called conditionally convergent if  is…

Q: Find the convolution (f * g), after integrating find the Laplace transform of (f * g): f(t) = cos2t,…

A: We have to find convolution (f*g) and the Laplace transform of (f*g) wheref(t)= cos2t, g(t)= et .