Find (3)BA+ (4)AC, if possible. A = #1 0 1 -3 3 3 •·# C 13 B = -2 02 01 -2 -10 0

Q: Find T' (X). f(x) = (x²-3) (x²+7) f'(x) = (Type an exact answer.)

A:

Q: Let x Ry be defined as follows: Ry means that 5 | (x - y), where x, y are integers. Select the true…

A:

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Find a basis for the two-dimensional subspace of R4 defined by Explain your reasoning. V := x= x1 2…

A:

Q: 3.6 Study the given visual representations below before attempting the question that follows: 21 22…

A: As per the question, we were presented with a visual representation of a set of numbers. Then we are…

Q: 12. Laplace transform is used to convert function in terms of distance into a function in terms of…

A: 12. Laplace transform is used to convert function in terms of distance into        a function in…

Q: Find f'(x). f(x)=7 In (7+6x²)

A:

Q: Use power series methods to evaluate the following limit. cos(x)-1 2x² lim, 0

A:

Q: Find the equation of the curve whose parametric equations are x = 1 + 4 cos 0, y = 2 + 3 sin 0, 0 €…

A:

Q: By considering different paths of approach, show that the function below has no limit as (x,y)…

A: We are given that           f(x, y) = x4/(x4 + y2)    (A) Along the curve y = kx2 ,…

Q: 5. Determine the wastage or oversupply of elements for the optimal solution. 6. Determine the impact…

A: To Do: We have to determine the impact of adding a further constraint.

Q: Find f'(x). f(x) = e13x

A: Here we have to find differentiation of given function f(x) = e13x .

Q: Let R be a relation on the set of all integers such that aRb if and only if a + b is even. To show…

A: The relation R on the set of all integers such that aRb if and only if a+b is even. We have to show…

Q: Solve the inear programming problem Maximize Px30x + 40y Subject to 2x+y s 14 x+ys 8 x+2y s 12 xyz0…

A: Given problem is MAX  z = 30 x + 40y subject to 2 x + y ≤ 14 x + y ≤ 8 x + 2y ≤ 12 and x, y ≥0

Q: What does "D" mean?

A: D is here domain of function which is subset of real numbers. In sequential criteria we have take…

Q: Is f(x) = -3- x³ differentiable at x = 0? Check by solving for the derivative of f(x) using the…

A: Given: The given function is fx=-3-x3. To find: We have to check whether the given function is…

Q: Consider the cube below as Dxyz.. 1 0.8 0.6 Z 0.4 4200 0.2 X 0.8 0.5 1.5 y Determine the suitable…

A: The cube is denoted by Dxyz. Now let the colored volume (inner blue+green plane) is Gxyz. It can be…

Q: IMPORTANT NOTE!! Answer only items 8, 16, 14, 23, 25 and 30 ONLY

A:

Q: Determine whether the statement is true or false. If lim_an = 0, then an is convergent. n → ∞ False.…

A:

Q: For the Euler Axis and Principal Angle, demonstrate that: v₁DCM²¹: = cos v₁ + sin Ov₂ v₂DCM²' = −…

A: Here,We want to show that :v¯1eDCMe'=cosθ v1¯+sinθ v2¯v¯2eDCMe'=-sinθ v1¯+cosθ v2¯

Q: 15. Eval a. 1-14i b. 9-4i c. 5-9i d. 7+8i (4+51)

A:

Q: Prove that the relation ∼ between sets is symmetric and transitive.

A:

Q: 15. Consider a box with dimensions 3 cm × 5 cm × 11 cm. If all of its dimensions are increased by x…

A:

Q: Find the root of the function f(x) = e-x- x using Newton-Raphson Method. (Please include the table…

A: The given function fx=e-x-x. We have to find the root of the function using Newton's Raphson method.

Q: 3. Line 1 is defined by slope m = -1 and y-intercept (0,3) i.e. c = 3. Line 2 passes through the…

A:

Q: Use a Green function to find the general solution of the differential equation y" + y = sec(t) - 2…

A:

Q: Evaluate the integral 16" (V x F). dS= (V x F). ds, where S is the portion of the surface of a…

A:

Q: The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and…

A:

Q: Give a combinatorial proof that: 2 η η 2η Σ+(%) =n(*1) k=1 [Hint: There are two groups of n members…

A: Given is ∑ k=1nknk2=n2n-1n-1.    We have to prove it combinatorial.

Q: Let f RR such that f(x) = -x if x is rational and f(x) = 2x+3 if x is irrational. Prove that f is…

A:

Q: On the set of axes below, pentagon ABCDE is congruent to A"B"C"D"E". C" D" E" < B" A" y B A C D E ➜X

A: To Select: The correct option that maps pentagon ABCDE to A"B"C"D"E": a) a reflection over the y…

Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

A:

Q: ippose we have two vectors in R³, ₁ = 8 and ₂ = 6. Find two vectors, ₁ and ₂ such that v₁ and v₂ an…

A: Introduction: To find the orthogonal set of vectors for the given set of vectors you have to use the…

Q: In excercise 6 Find the inverse of the given matriu (pfft exists) using Theorem 3.8 6:11/√2. -1/2…

A:

Q: Let F be a field. a. Show that the collection of matrices a L = { [ ª d]: ab € K} -b forms a field L…

A: Given that F be a field. The given set is L=ab-ba: a,b∈K. We need to show that L form a field with…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 5) [x³e² dx

A: We have to evaluate ∫x5ex2dx

Q: Solve the problem. Estimate the minimum number of subintervals needed to approximate the integral…

A:

Q: Match the expression with the best description.…

A:

Q: Use a Green function to find the general solution of the differential equation y" + y = sec(t) - 2…

A:

Q: Consider the boundary-layer flow in the immediate neighbourhood of the separation point x = x, where…

A: Given: The boundary-layer flow in the immediate neighborhood of the separation point x=xs, where τw…

Q: 28+7 Find L-¹{²4)(+2)}. −4)(8+

A:

Q: You are given a linear programming problem. Maximize P = 6x + 4y 2x + 3y ≤ 12 subject to 2x + y ≤ 8…

A:

Q: 21. Find L{te} a. b. C. F(s) = s + e-s F(s) == /2 1 F(s) = (S-1)² 1-s s² d. F(s) =

A: Given that the Laplace transformation  Ltet  .

Q: A research group using hospital records developed an approximate mathematical model relating…

A:

Q: Evaluate the integral of the two-form w = 3xe-3xy dx A dy over the region D = {(x, y) E R² | x €…

A:

Q: Find the scalar equation for the plane passing through the point P=(−5, 3, 2) and containing the…

A:

Q: The rate of growth G in the weight of a fish is a function of the weight w of the fish. For the…

A: Given: It is given that the rate of growth G in the weight of a fish is a function of the weight w…

Q: For the Euler Axis and Principal Angle, demonstrate that: v₁DCM²¹ = cos 0v₁ + sin №v₂ v²DCM²' = —…

A: We want to show that :v¯1eDCMe'=cosθ v1¯+sinθ v2¯v¯2eDCMe'=-sinθ v1¯+cosθ v2¯

Q: 13. Express √-50 in terms of i a. 5√2i b. -5√2i 10i c. d. 2√5i

A: Ans-13)In this question we have to express -50  in terms of i.

Q: Give an example showing that the union of two subspaces of a vector space V is not necessarily a…

A: