2. Without using calculator, evaluate (a) tanh (3) (b) cosh ¹(2) (c) tan(tan (d) tan¹(tan 23

Q: A parabolic stream of water is spraying out of a hole in the floor two feet behind Veronica. The…

A: Let the equation of the parabola be x-a2=-by-c  (since concave down) Let the water is flowing out of…

Q: Problem V Let V be a subspace of R4 spanned by three vectors given below. Find the angle a between…

A:

Q: m*n= m2 -n2 is associative on Z

A:

Q: he nearest cent.) Present value (in $) of an annuity due Annuity Payment Payment Frequency Time…

A:

Q: Teams in an adventure race earn 3 points for each flag they find. Each team loses 4 points for each…

A: Player Flag Time (minutes) Point gain Point Lose Total point A 25 91 75 8 67 B 30 101 90 48 42…

Q: Ten workers can finish a two-story house in 9 months. Construct a function that will show how many…

A: If x is inversely proportional to y, then it can be written that: x∝1y or x=ky, where k is the…

Q: Consider the vector field F (x, y, z) = xi + yj + zk. a) Find a function f such that F = Vf and f(0,…

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A:

Q: Let A = 1 and let b = 3 0 1 (a) Use the Gram-Schmidt process to find an orthonormal basis for the…

A: Problem 1: Given: t -2 -1 0 1 b 3 0 1 -1 To find: Fit a straight line of the form b=C+Dt…

Q: Eliminate the parameter and describe the shape of the curve: :=√√x+4; _y=3√t; for 0≤t≤16

A:

Q: Find a GS of xy" - (2x + 1)y' + (x + 1)y = x²ex Hint: The homo portion of the DE may have a solution…

A:

Q: The pictures are the answer of the question and the theorem 3, I would to ask why the answer of this…

A: Since determinant of ATA=determinant of AT*determinant of A…

Q: -3y=0 D) y+3y=0 10 The integrating factor of the non-exact D.E. (ex+y + yey) dx + (xey-1) dy = 0 (a)…

A:

Q: Suppose you want to have $500,000 for retirement in 30 years. Your account earns 9% interest. a) How…

A: Suppose you want to have $500000 for retirement in 30 years. Account earns 9% interest. To find…

Q: + (minutes) 7 r(t) (gallons per minute) 24.5 21.2 25.6 11.3 23.7 n 2 9 10 A tanker is being filled…

A: For left Riemann sum we will use values at left end of each intervals and right Riemann sum we will…

Q: fő dx 8 (x-7) sinx d

A: It is known that: ∫abdx δx-k f(x)=f(k),  k∈a, b0,       Otherwise Here, δx is the Dirac Delta…

Q: Find the circumference and the area of the circle using 3.14. Round your answers to two decimal…

A:

Q: ‘or the system below, find the general solution, sketch the trajectories, being careful to nclude…

A: Convert given system into matrix form Find eigenvalues and eigencectors Find general solution State…

Q: Suppose F(x, y, z) = yi — xj – 1.5k - and C is the helix given by x(t) = 4 cos(t), y(t) = 4 sin(t),…

A:

Q: [1] The Trapezoidal Rule applied to f f(x) dx gives the value 4, and Simp- son's rule gives the…

A:

Q: Given the function ƒ(x) = x² – 24x² For your intervals for parts A) and B) • enter your intervals as…

A:

Q: 4.3.27. Find the QR factorization of the following matrices: 2 0 -1 1 1 -1 −1 3 1 0 1 2 -1 1 1 -1 1…

A: This is a question of linear algebra.

Q: y''' — 4y'' + 13y' + 50y y(0) = 4, y'(0) = 10, y’’(0) = 42 y(t) = = 0

A:

Q: Let 0 0 -1 Obtain a basis for each of the following subspaces: -1 (a) N(A). (b) R(A). -1

A: The given matrix is: A=1010-1101-1-10-1 (a) We know that, if A is m×n, then NA represents the set of…

Q: Solve the following initial-value problem: (x+38²) dx-x ye O O |dx-xe* dy=0; y(1)=0 Inlxl=2e-2…

A:

Q: Let V = R² and S = {(x, y) = Rx+y=0}. If v = (1, 1), then what is the coset v + S. The line x+y=2…

A:

Q: A function : [a, b] ≤ R → R is called a step function if there is a partition a = xo < x₁ < ··· < xn…

A: Kindly refer to Step 2 for the solution.

Q: 302 If the matrix of change of basis from the basis B to the basis B' is A= 2 0-2 then the second…

A: Given: Matrix of change of basis from the basis B to B' is A=30220-2011

Q: -(¹-21) e matrix B x A? and B = (8) What is the entry on the row 2 and column

A: We have to find the 2nd row and 1st column of the matrix BA

Q: 8 is 50% of my number. What is my number?

A:

Q: Which of the following maps from R2 to R³ are R-linear? O f(x, y) = (x, x -2, x+y+z) O f(x, y) = (x,…

A: To find the map are R linear

Q: Find the circumference and the area of the circle using 3.14. Round your answers to two decimal…

A: .

Q: 3. Let f be a continuous single-variable function defined on [0, 1], and let D be the region in R2…

A:

Q: 1 Which of the following is a second-order linear nonhomogenous ODE? A) sin(x)y" + y = 0 B) sin(x)y"…

A:

Q: Q1: The distance x of a runner from a fixed point is measured (in meters) at intervals of half a…

A: t x ∆x ∆2x ∆3x ∆4x 0 0             3.65       0.5 3.65   -0.5         3.15   0.45   1 6.8…

Q: [3 3) a) Given; A = 7 11 L4 2 B = [6 10 4 151 19 1 12 25 7 17 and C=11 9 6 40] Use the above…

A:

Q: In a game of Texas Hold’em 2 cards are dealt to each player face down. 5 more cards are then played…

A:

Q: If each statement is true, write a complete proof of the statement. If the state- ment is false,…

A:

Q: 5. Use mathematical induction to show that 2 divides n² - n for all nЄN.

A: We know that a number x divides a number y if there exists a non-zero number c such that we can…

Q: 2. Consider M(x, y) + N(x, y) · y = 0. (a) Suppose we can find a function F = example of such an…

A: As per Bartleby Guidelines we can solve at most three subparts at a time, to get the solution of…

Q: -1 A-34] 1 Let A = 5 Find vectors X1, X2,. X; so that N (A) equals span {x₁, x2,...,xj}. ..y

A:

Q: Consider the Euclidean inner product space R³ 3 with basis B={(1,1,1),(0,1,1),(0,0,1)}. a Find an…

A: Basis: A set B is said to be a basis of a vector space V if the set B is linearly independent and B…

Q: Use Cramer's rule to solve the following system of linear equations: -3x + 4y - 5z = -4 2x+6yz = −6…

A:

Q: Applying the ratio test to the series you would compute Hence the series diverges lim k 100 ak+1 ak…

A:

Q: Consider the linear system AX= b, where 2 ^-1-4 A = 1 b= 2 -2 10 a) Use the method of QR…

A: We are given the following linear system.        Ax=b,  where A=2-114-210,   b=12-1 For (a), Here,…

Q: Use Green's Theorem to calculate the circulation of F = 3xyi around the rectangle 0 ≤ x ≤ 2,0 ≤ y ≤…

A: By Greens theorem ∫C[Pdx+Qdy]=∫∫R[∂Q∂x-∂P∂y]dxdy, where R is the region bounded a simple closed…

Q: Consider the linear system: AX = b, Where A E Rmxn with linearly independent columns, and b E Rm.…

A: The best solution for x is x = AT A-1 AT bThe QR transformation of A is A = QR, where Q is matrix of…

Q: m*n=m is associative on Z. O True O False

A:

Q: Find the surface area of the part of the plane z = 4 + 2x + 3y that lies inside the cylinder z² + y²…

A:

Q: Find the line integral of F(x, y, z) = x³i + y²j + zk along the line segment C from the origin to…

A: