What vector v is given by the coordinate vector 3 [1] 6 B={[-3 8 7], [7 1 6], [7 -4 9]}. ?

Q: 3. A R&C Ltd produces and sells 6" Cider Blocks. R&C Ltd has a revenue function of R(q) = 2q²…

A: Given: The revenue function for a company is given by and the cost function is given by  where  is…

Q: An aquarium 4 ft long, 2 ft wide, and 2 ft deep is full of water. (Recall that the weight density of…

A:

Q: Find the rank of the given matrix: 1 1 0 2 -234 4 68 1 00 568

A:

Q: Find f and f, at the given points. ㅠㅠ (a) f(x,y) = rysing; 2¹2 (b) f(x, y) = 2x 1-y ; (1,0)

A:

Q: need bits after (d)

A: Note- Since you have posted multiple questions we will solve only 3 sub parts as per guideline…

Q: 1. Solve the congruence x² + 1 = 0 mod 13³.

A: According to the given data, find the solution:

Q: Use the graph to evaluate the following expressions. (a) (fog)(1) (b) (gof)(0) (c) (go g)(0) (a)…

A:

Q: g. Sketch two unit vectors u for which Duf(1, 2) = 0 and then find component representations of…

A: To find unit vectors for which , we need to find vectors such that the directional derivative of…

Q: Convert the given initial value problem into an initial value problem for a system in normal form. y…

A:

Q: The curves f(x)= 3-x^2 and g(x) =e^(2x)-1 are shown in the figure. Let R be the shaded region…

A: The given curves are  and .   is  the shaded region bounded by the graph and the axis.

Q: . Consider the function f: R→ [0, 1] defined by f(x) = 1 if x is rational, and f(x) = 0 if * is…

A:

Q: When using the method of Lagrange multipliers to find the extrema of the function f = x² + 3y…

A: Objective functionExtrema:   f(x,y,z)=x2+3y4Conditions : g(x,y)=x4+y4−1=0Lagrange multiplier…

Q: 2. Let U(x, t) denote a solution to the wave equation Utt- c²Uzz = 0. Show that V(x, t) = U₂(x, t) =…

A:

Q: Suppose that g = g(q, p, t), and that H is the Hamiltonian. Show that: a) (See the Figure) b) if…

A:

Q: Let x, y, u, v € Z and d E N. Prove that if x =y (mod d) and u = v(mod d), then xu = yv (mod d).

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 10. Determine the cross product axb, if: a=…

A: Given vectors We have to find

Q: A hydrocyclone is fed at the rate of 20tons/hr of dry solids. The hydrocyclone feed contains 30%…

A:

Q: The data in the table below represent the number of dairy farms (in thousands) and the amount of…

A: (a) We can use a graphing utility to find the required logarithmic model.

Q: Consider the heat equation Ut = auxx, a € R⁰, 00 with boundary conditions ur(0, t) = u(L,t) = 0, t>…

A: The heat equation you've presented is a partial differential equation that describes the…

Q: If a is a similarity of ratio r and A, B, and C are distinct non-collinear points, let A' = a (A),…

A: Given information: and  are non-collinear points. is a similarity ratio . and  are the non-collinear…

Q: Calculate ff f(x, y, z) d.S for the given surface and function. x² + y² = 25, 0≤z≤4; ƒ(x, y, z) =…

A:

Q: Consider the heat equation Ut = AUxx, a €R>⁰, 00 with boundary conditions ux (0, t) = ux (L, t) = 0,…

A: i) In the heat equation the unknown variable is temparature. i,e the heat flows into (respectively,…

Q: clock at the post office has a minute hand that is 1.75m long and an hour hand that is 1.26m long.…

A:

Q: nother Find the transition matrix from B to B'. B = {(-1, 0, 0), (0, 1, 0), (0, 0, -1)}, B' = {(0,…

A:

Q: Let X be Hausdorff and f : X → X be a continuous function. Show that {x : f (x) = x} is closed in X.

A: Let, .We show  is open and so F is closed.

Q: Let R` be the set of real numbers with the lower limit topology (the collection of the intervals [a,…

A:

Q: Check if the following sequences are uniformly convergent 2nx fn (2) = 1+n*_z, 2 € [0, 1]

A:

Q: Minimize f(x, y, z) = xy + xz+yz subject to x² + y² + z² = If R = [0, ] ×[1, 2], compute fr sin(xy)…

A: We have to minimizesubject toAssumeLets use method of Lagrange multipliers.

Q: Use the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

A:

Q: 3. For each of the following, if a circle has the dimensions given, de circumference: a. 6 cm…

A: Given that the following, if a circle has the dimensions:  6 cm diameter,3 cm radius.To find the…

Q: A dilation with center P and ratio r has equations x'= -2x + 3 and y2y4. Find P and r.

A: A dilation with center P and ratio r can be represented by the following…

Q: (d) For the set B = {[4], [8]} ≤ Z12 determine the set V = h(B). Then for the set VC Z18 determine…

A: We use basic techniques of modular arithmetic to solve this problem.

Q: Consider the following variation of the Lotka-Volterra predator prey model N = N(a - BN - YP) P =…

A: Given the Lotka-Volterra modelAssume .

Q: Let G be a group and H a subgroup of G. Let K= in D6. Determine the elements in (rR)K(rR)-1 where R…

A: Let G be a group and H a subgroup of G. Let K=<r> in D6.Since, r is reflection in D6 , r2=I,…

Q: 7. Observer Design Consider the system represented in state variable form x = Ax + Bu y = Cx + Du 4…

A:

Q: or part f, how does APL equal L^(2/3)//(1/L^(1/3))? Where is the 1/3 coming from for labor?

A:

Q: Tessa invests $9600 in a new savings account which earns 4.6% annual interest, compounded…

A:

Q: Let S = decimal places.) 10000100 x 1. Note that In(n+1) 5 S S 1 + In(n). Note that the sequence (a)…

A: We have to Approximate r using a100 (Round your answer to four decimal places)

Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Note:  In the first constrain  is given which is corrected to

Q: 21. Let f(x) = 2x, x = [0, 1]. Take P = {0, 1, 1, 1, 1, 1} and set x₁=1, x₂ = 16, x3 = 3, x4={, x3 =…

A:

Q: ving nonlinear system of differential equations: x² - []=[x² 2²50] + y² - 50

A:

Q: Lou's Bakery has established that JIT should be used for chocolate chips due to the high probability…

A:

Q: (4) If p(x) = ao + a₁ + a₂(1 + x²), calculate L" (p(x)).

A:

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A:

Q: Sketch the level curves of the function f(x, y) = y² for c = -4,-1,0, 1, 4. ²5 T

A: Given that the function is                           To sketch the level curves of the given…

Q: Motors Inc. manufactured 306 cars with automatic transmissions, 237 with power steering, and 62 with…

A:

Q: Check if the sequence is uniformly convergent using the steps listed below: n+sin(nx) b. fn (x) = "…

A:

Q: I 5. Find all eigenvalues and eigenfunctions to the boundary value problem. Show all necessary work:…

A:

Q: Use spherical coordinates to find the volume of the region outside the cone = 1/4 and inside the…

A:

Q: 2. Problem 2 Compute the determinant in Problem 1(a) using the Laplace expansion method (a) Along…

A: