Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C. Initially there are 48 grams of A and 89 grams of B, and for each gram of B, 1 grams of A is used. It has been observed that 34.25 grams of C is formed in 15 minutes. How much is formed in 40 minutes? What is the limiting amount of C after a long time? 83.89 inf grams of C are formed in 40 minutes grams is the limiting amount of C after a long time

Q: A singular value decomposition of A is as follows: [0.5 0.5 -0.5 -0.5] [5 0.5 -0.5 -0.5 0.5 0.5 -0.5…

A: By using SVP to find the value of X  The procedure is given below

Q: Find a formula for the (hyperbolic) reflection through the line & which goes through points 2i and 1…

A: We need to find the formula for the hyperbolic reflection through the line l that goes through…

Q: 0 A 。 0 1 Which boxplot is a reasonable summary of the data used to create the histogram? There are…

A:

Q: Exercise 3.9.6: Find the general solution to x″ = −6x₁ + 3x2 + cos(t), x″ = 2x₁ − 7x₂ + 3 cos(t), a)…

A:

Q: for a positive value of x . log_(x)(8)=3  Find  X.

A:

Q: [2 For 10.1 to 10.3: Let A = 1 LO 121 31 0 -1 and B =[ -21 [1 ¹0 2 -1 3 10.1 If the product exists,…

A:

Q: In a college class, 70% of the students who receive an “A” on one assignment will receive an “A” on…

A: Introduction: A steady state matrix, also known as a stationary matrix or equilibrium matrix, is a…

Q: 3. [Multiple questions in one item] Consider the column vector x = 02 3.1. If the product exists,…

A:

Q: T-1 3 Let A = Find S, D, and S-1 such that A = SDS-¹ S= 88 ,D= 1981 S-¹_ 81

A: We have to find the value of Diginal matrix.

Q: Exercise 3: Drawing sets Draw the following sets as subsets of R²

A:

Q: Using Simpson's rule with 1 interval, find the area under the curve defined by the polynomial y =…

A: Sol:- To use Simpson's rule, we need to divide the interval [6, 19] into one interval, which means…

Q: Let 1 √2 1 √2 1 √2 √2 Find, with justification, B2015. (Enter sqrt(n) for √n.) B = J 1

A: Given matrix is B = 12-121212

Q: For the following 123 parts say if the given space U, V, W is a subspace of Rn (n = 2, 3, 4…

A: To Check: Whether the following sets forms a subspace of ℝn for some n or not. (2) V=v∈ℝ3 |…

Q: An unbiased coin is tossed four times. Find the probability of the given event. (Enter your answer…

A:

Q: Before being allowed to enter a maximum-security area at a military installation, a person must pass…

A:

Q: 5. Suppose that f: D→D is a continuous function, and that {an} is a solution to xn+1 = f(xn), n € N.…

A:

Q: 1) It is believed that reducing the coarseness of a kraft hardwood fiber from 25 to 17 will improve…

A: Given that: The diameter of the fiber is, D=20microns. The expression for determining the wall…

Q: The characteristic polynomial of the matrix A = is p(A)=(A+2)1³ The matrix has two real eigenvalues…

A: A=-32-11-4200-32110000pλ=λ+2λ3

Q: B₁ = {(a, b): a, b are realt B₂B RIB is finite} I, is sopology generated by J₂ is Sopology generated…

A:

Q: x+15 Graph the equation y = x²+400 window x-min=-200, x-max = 200, y-min= -0.02, y-max=0.06 with a…

A:

Q: For each of the following propositions provide its truth table and derive an equivalent proposition…

A: Introduction: Disjunctive normal form (DNF) is the normalization of a logical formula in Boolean…

Q: Mayfair Fashions has a $90,000 line of credit from the Bank of Montreal. Interest at prime plus 2%…

A:

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A:

Q: The demand function for a manufacturer's product is p = f(q) = -0.19q+456, where p is the price (in…

A:

Q: Prove that every equilibrium point of xn+1 = 1 − 2]ïn], n € N, with x。 € [−1,1] is unstable.

A:

Q: ✓2.18 Find the system of equations resulting from starting with h₁,1x1 + h1,2x2 + h1,3x3 = d₁ h2,1x1…

A: The system of equations in x1 , x2 , and x3 is given as       h1,1x1 + h1,2x2 + h1,3x3 = d1  . . . .…

Q: Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c)…

A: Part-1 Increasing : a function is said to be increasing when it slants upward in the graph while…

Q: Use the graphical method to find the optimal solutions of the following LP Problem. Max. Z = 3x1 +…

A: Max Z=3x1+5x2s.t3x1+2x2≤18x1≤4x2≤6x1, x2≥0

Q: State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = - 7x² - 2x+5…

A:

Q: Given the following​ table, give the best estimate for f′(9)−f(9)   x 0 3 6 9 12 15 f(x) 37 44 48 60…

A: Given: The given table is: x 0 3 6 9 12 15 f(x) 37 44 48 60 28 4   To find: We have to give…

Q: show that (Important) 8 "Hint x =1₂y = -1" n E K=O (^) (-1) ². =0 VEN

A: We have to prove ∑k=0nkn-1k=0

Q: Prove that any Abelian group of order 45 has an element of order 15.Does every Abelian group of…

A: Let G be an Abelian group of order 45. By the fundamental theorem of finite Abelian groups, we know…

Q: Part A Use the node-voltage method to find the value of vo in the circuit in figure (Figure 1) if v…

A:

Q: Use variation of parameters to find a general solution to the differential equation given that the…

A:

Q: It costs $250 to produce an X-Box. We are trying todetermine the selling price for the X-Box. Prices…

A: Introduction: To determine the optimal price and associated profit, we need to use the demand and…

Q: Derive a cubic spline with natural boundary condition using the following points: (−2, 1), (0,0),…

A: Sol:-] To derive a cubic spline with natural boundary condition, we need to find the cubic…

Q: Please solve using the parallelogram method of vector addition. First step finding theta.

A:

Q: 25. When zero appears in a pivot position, A = LU is not possible! (We need nonzero pivots d, f,i in…

A:

Q: Using the attached pictare, The section labeled A in the Seller's Meunification section. True False

A: To find: We have to determine whether the statement "The section labelled A is the Seller's…

Q: find the Jordan canonical form J for the matrix  A.You need not determine an invertible matrix S such…

A:

Q: A pendulum on a rigid rod oscillates according to the equation 0²0 Ət² + sin 0 = 0, where is the…

A: As per the question we are given the dynamic equation for the pendulum system and we have to show…

Q: 12. Assume a € (-1,1). Investigate the equilibrium solutions of the following difference equations.…

A: Given: Difference equations: a) xn+1=a sin xn                                               b)…

Q: In each of the following answer true if the statement isalways true and false otherwise. In the case…

A: True.   The singular values of a matrix A are the square roots of the eigenvalues of the matrix A^T…

Q: 1. Our anniversary is scheduled 23 days before the Vernal Equinox(March 21,2023) at 8:56 Solar Time.…

A: To determine the equivalent scheduled date and time, we need to follow the given equations and…

Q: Using Gauss quadrature with 2 Gauss points, find the area under the curve defined by the polynomial…

A: The area under the curve y=f(x)=0.02x5+0.1x+29 between limits of -1 and 1, is nothing but the…

Q: If A and B are independent events, P(A) = 0.45, and P(B) = 0.25, find the probabilities below.…

A:

Q: 3: 1– cosx sin²x -dx

A:

Q: Apply the predictive control law to a fifth-order process:Y(s)/(s)=1/(5s+1)⁵.Evaluate the effect of…

A: To apply predictive control law to the fifth-order process, we need to first obtain a discrete-time…

Q: Find the standard matrix of the orthogonal projection onto the subspace W. Then use this matrix to…

A:

Q: Using trapezoidal rule integration with 2 equal sized sub-intervals, find the area under the curve…

A: Sol:- We can use the trapezoidal rule with 2 equal sized sub-intervals to estimate the area under…