A check-processing center uses exponential smooth- ing to forecast the number of incoming checks each month. The number of checks received in June was 40 million, while the fore- cast was 42 million. A smoothing constant of .2 is used. a) What is the forecast for July? b) If the center received 45 million checks in July, what would be the forecast for August? c) Why might this be an inappropriate forecasting method for the situation

Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

A:

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x…

A: The given function is .The aim is to find the Maclaurin series for the given function.

Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: ƒ : R → R…

A: Given:The functions and  are given as: given by ; given by ., where  is the set of all real…

Q: Evaluate the integrals jesi S(1 - 7)dt js(21-4)(21² +1-8)dt je ² 8(x)dx 13. [cos(91)8(1-2)dt je¹ö(1…

A:

Q: Use the given cardinalities to determine the number of elements in the specific region. Where, "n"…

A: Since you posted more than 3 subparts, according to guidelines we can solve only first three…

Q: 14. It is desired to find particular solutions of the differential equations given below. 1. y"+y' =…

A: We know thatMethod of undermined coefficients is used to find the particular solution of those…

Q: -23. For R> 0 and n an integer, define the singular 1-cube CR.: [0,1]→ R¹ - 0 by CR. (1) = (R cos…

A:

Q: Let f: R² → R be defined by f((x, y)) = 8x +9y. Is f a linear transformation? a. f((x1, y₁) + (x2,…

A:

Q: Solve by using formulas. (Round your answer to the nearest cent.) Ordinary Annuity Annuity Payment…

A:

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=x₂…

A:

Q: Linear algebra: please solve q18 correctly and handwritten. Theoram is also attached

A:

Q: Find the dimensions of the following linear spaces. (a) The space of all diagonal 3 x 3 matrices (b)…

A: Here, we have to find the dimensions of given vector space.

Q: 1. For the lamina in figure #1 compute the moment of Inertia about the x-axis. The density is p(x,…

A:

Q: DETERMINE FOR WHICH BETA AND x VALUES THE FUNCTIONS f(x)=Bz, g(x) = sin(32), A(z) = cos(3x), are…

A:

Q: Determine the magnitude of the resultant force and its direction, measured counterclockwise from the…

A: We have given

Q: 2 3. (a) Consider the function f(x) = x - x + 1 and starting point x₁ = 0. Show that the sequence…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" + y = f(t), y(0) = 0,…

A:

Q: Let f : R² → R be defined by f((x, y)) = 7x - 2y. Is f a linear transformation? a. f((x₁, y₁) + (x2,…

A:

Q: 'I' F. ds for the given vector field F and the oriented surface S. In other words, find the flux of…

A:

Q: A survey was distributed to a group of people asking them how many times they had ordered takeout in…

A: Given that the trend line of a scatter plot passes through the points (1,230) and (3,190).

Q: 13 The population of a country in 2010 was approximately 32 million with an annual growth rate of…

A: The population of a country in 2010 was approximately 32 million with an annual growth rate of…

Q: Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and…

A: To prove the statement P(n) using strong mathematical induction, need to follow these steps:1. Base…

Q: Problem 3. The marginal product of labor (i.e., the increase in total output if one more worker is…

A:

Q: Using your graph as the example: Select any two points on the graph and apply the slope formula,…

A: The 2-D graph is attached belowTo find out slope we apply slope formula

Q: The Taylor series for f(x) = x³ at 3 is Σen(x - 3)". n=0 Find the first few coefficients. Со C2 C3…

A: The given function is We know thatThe Taylor series of  is

Q: Determine how and which of the functions above should be added, multiplied, divided or composed to…

A: f(x)=sinx,f(x)=logx and f(x)=2xdetermine  how and which of the functions should be added,…

Q: EP 1) Let D be the unit disc (the region inside the unit circle). Let L and R be the right half of…

A: Note: As per the guidelines, we are supposed to answer only 3 subparts. Please repost the other…

Q: a. The dimension of the subspace His b. Is {14x² + 12x + 11, 9x² + 8x +7,- (22x² + 20x +17)} a basis…

A:

Q: need to derive the laplace transforms. Using L {[= (6) } = s e-v² F(t) at dt Above instructions.…

A:

Q: In Exercises 1-14, find the characteristic polynomial and the eigenvalues for the given matrix.…

A:

Q: Solve the initial value problem y" + 1xy' -4y= 0, y(0) = 9, y'(0) = 0.

A:

Q: One way to estimate the average value of a function on an interval is to split that interval into a…

A: Matlab code:-function avg = approximate_averagef(f, a, b, N)    % Calculate the width of each…

Q: 1. (1) Show by hand¹ that 2 is a primitive root mod 19. (ii) Find² a complete set of primitive roots…

A:

Q: If you let G and H be two groups and consider the product group G x H and let K be the subset of G x…

A:

Q: 1. Calculate and draw the y[n] = x[n] *h[n] using the following signals. x[n]= 8[n] + 8[n-2] +…

A:

Q: Let G and H be finite groups. Prove the following statements. (a) If a: G H is a homomorphism, then…

A: Given that  and  are finite groups.We need to prove the following.(a) If  is a homomorphism, then…

Q: a¹³ Uij = 0 in 2. Set Problem 3. Let u be a smooth solution of Lu = v = |Vu|² + \u². Show that Lv ≥…

A: To show that Lv≥0 in Ω for sufficiently large λ, let's compute…

Q: Sketch the level surface of the function for w = 3. w = f(x, y, z) = x² + y²+z² + 2y

A:

Q: Consider the functional 1 S[y] = f'da dx √1+x+y¹2, y(0)=A>0, y(1) = B > A. Show that the function…

A:

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A:

Q: A given by 1. M₁1 4. M41 12. A = 14. A = 16. A = A = 2-1 3 1 13-1 4 6 24 1 220-2 2. M₂1 5. M34 -1 12…

A:

Q: at most 2. Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | f'(-8) = f(1)} where P₂[x]…

A:

Q: Let P, denote the vector space of polynomials in the variable æ of degree n or less with real…

A:

Q: Suppose that S₁ and S₂ are nonzero subspaces, with S₁ contained inside S₂, and suppose that dim(S₂)…

A:

Q: SOLVE STEP BY STEP DONT USE CHAT GPT 3. In the following problems use the appropriate algebra and…

A:

Q: Find f(t). f(t) = L 6s - 1 s²(s + 1)³) {

A:

Q: Given point M (6√3,-6), which is located on the rectangular coordinate plane, what are the…

A: Put x= r cos and  y=r sin .

Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

A: The system of differential equation is .Find the particular solution by using the undetermined…

Q: 5 The matrix A= -2 7 0 has eigenvalues A₁ = 2 and A₂ = 3. An eigenvector for 2 is = 2 1 -2 3 [-2 10…

A: (.) Given matrix is,            Matrix  has eigen values  and . An eigen vector for  is and  has…

Q: Use Table 12-1 to calculate the future value (in $) of the ordinary annuity. (Round your answer to…

A: