SHOW THAT : { Ax (B x C ) } = A x (B x = C) + Ax ( √ ₁ B xC) + — AX (BXC). du

Q: If mzB = 111°, a = 12, and c = 6, what are the measures of the remaining side and angles? O mLA =…

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Q: Find the root of x² - 1000 = 0 using Newton's law of approximation

A: We have to approximate the root of x7-1000=0 now we have f(x)=x7-1000,  f'(x)=7x6 Newton's law of…

Q: R3 → R3   be the linear transformation that projects u onto   v = (6, −1, 1).Find a basis for…

A: We have given that ,  T : ℝ3 → ℝ3  be a linear transformation that projects u onto v. Let , u = x ,…

Q: Solve the given initial value problem. y"-10y' +25y = 0; The solution is y(t) = y(0)=-3, y'(0) = -…

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Q: Evaluate C6 and 7P7. (If necessary, consult a list of formulas.) ₂% = C. 11 0 7³₁= 0

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Q: The general equation of a parabola is (x-h)^2 = 4p (y-k), where h and k is the coordinate of a.…

A: A parabola is a very significant conic section. When a point moves in such a way that at any…

Q: Find the area enclosed by the given parametric curve and the y-axis. x-t²- 2t, y = √t y X -1.0 -0.5…

A: The given parametric curve is                                          x=t2-2ty=t To find: the…

Q: Sketch the graph of the function f(x)= 3x-5 x axes and the asymptotes (if any). State its domain.…

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Q: Let a1 = a2 = 1 and suppose an = an-1 + an-2 for n ≥ 3. Prove that a1a2 + a2a3 + · · · + a2n-1a2n =…

A: We have given that , a1 = a2 = 1 Also , an = an-1 + an-2 We need to prove that ,  a1a2 + a2a3 +…

Q: Green family's current water tank is pictured below. Radius: 2m Cone height: 1.5m at is the total…

A: We have to solve given problems:

Q: 3. Find the inverse Laplace transform y(t)=L¹[Y(s)] where 1/6 1/3 Y(s)=e-5s + S s+1 S/2 + 5/3 s² +…

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Q: B. Let U = {x|x is a lowercase letter in the English alphabet} be the universal set. In roster…

A: The universal set is U=x| x is a lowecase letter in the English alphabet. 1) Consider the given set…

Q: Phill and Laura Dutch have a new grandchild, Brenda. They want to create a trust fund for her that…

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Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A: To Find: The value of a for which the limit limx→0sin(ax)-sin(x)-xx3 is finite and then evaluate the…

Q: x=4-s+t Find a vector of length √2 which is perpendicular to the plane π=y=1+ s-t z = 1+s+t

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: 2. Find the inverse of the function given below. Specify the domain and the range of the inverse.…

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Q: Test the convergence of the following series using the nth Root Test. 1 Σ C) 0 O B) 1 O A) 2 O

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Q: 14. The expression "a mod b" is used to mean "the remainder obtained when a is divided by b". Which…

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Q: VIP seating at a local outdoor concert costs $118 per seat. General admission seating costs 43%…

A: Given, VIP seating costs is $118 Also, general admission seating cost is 43% less than VIP seating.

Q: 3. Approximate the solution to the partial differential equation a²u ²u 5л 0x2 (x, y) + dyz (x, y) —…

A: Given: ∂2u∂x2x,y+∂2u∂y2x,y-12.5π2ux,y=-25π2sin5π2xsin5π2y To find: Dirichlet boundary condition

Q: Problem 1. Find and plot the domains of below functions (a) f(x,y)=z²y. (b) f(x, y) = ln(ry-1).

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Q: solution of the differential 4dy e²x + 4y = ² dx Find the particular d²y equation dx²

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Q: function f(z) 2

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Q: 5) x+1 x²(x+2)3

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Q: Define the linear transformation T: R → RM by T(v) = Av. Find the dimensions of R and Rm. -1 -1 A =…

A: The linear transformation is a map that relates two vector spaces. Every linear transformation has…

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

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Q: Given R = Z₁₂, M = {0, 4,8], then R/M is

A: We know the definition of quotient ring ,  R/M = a + M / a ∈ R We have given that , R = ℤ12  and  M…

Q: rt One. All of the equations listed below are general equations of conic sections. Study each…

A: Given the general equation of conics: x2+y2-24x-16y+188=0 To transform this equation into standard…

Q: 3. Let X be a Banach space and TE B(X) an operator with ||T|| (T). Show that || id +T|| = 1+ ||T||.

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Q: Let L be the line x = t, y = -11 - 7t and z = -6 - 3t and let M be the line x = 1 +s, y = 2s and z =…

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Q: Solve y(6) — 5y(4) + 16y" +36y" - 16y' - 32y = 0. Include a plot of the solution curves.

A: There is no conditions, so i plot the six independent functions separately.

Q: Solve the following system equations using "Solver" function : 3A+4B-5C-11 -2A+6B+2C=7 A-9B-4C=0

A: The solver function in Excel is used to solve a system of equations (linear or nonlinear).

Q: Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1,…

A: The given function is: fx=cos x,       x≤0x2+x+1,  x>0 Check whether the function is continuous…

Q: Find the quadratic Lagrange polynomial for the data in the table below, and use it to compute…

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Q: By using Gauss-Jordan method, the solution of set following above equations will be 2x1 – 4x2 + 6x3…

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Q: Solve -5 2x - 3 Solve the inequality ****** 4 x+5 [K-2] x²-8x+15 x² + 6x +8 > 0 [K-4]

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Q: Consider the following two parametric curves in R³: for 0 ¯¯\ND OXO OXO OXO OXÍ These curves…

A: First we will find the intersection point of both server then we will find the equation of potential…

Q: Prove that the union of any number of open sets in Ris open.

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Q: following x² dx

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Q: Solve y" - 2y" - y' + 2y = 0. Include a plot of the solution curves.

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Q: don't the answer written in this format. Could you please draw and send a picture

A: Solution

Q: را Evaluat the following integral by reversing 2 e dx dy

A: It is known that ∫exdx=ex. The order of the integration can be changed by plotting the integration…

Q: Solve the given initial value problem. y' +8y' + 20y=0; y(0) = 4, y'(0) = -15 y(t) =

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Q: (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the…

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Q: Using the remainder formula for the Taylor polynomial approximation, estimate the error in your…

A: Reminder formula for approximating Taylor polynomial  For a function f(x) approximated by n terms of…

Q: Perform the indicated operations. Follow the PEMDAS/GEMDAS rules correctly. Show your solution. 1.…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: If the root of the equation Log, x-1-2=0 lies between 2.8 ,2.7 the first approximation to the root…

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Q: Is the function f(z) = (x + y²)+ixy contin- uous?

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Q: 1. What is the result of the following arithmetic logic operation? 128.25+225.125 0101100001.011…

A: The result of the arithmetic logic operation is determined as shown below.

Q: Find the inverse Laplace transforms of the following functions: c. F(s) = e-3s (8-5) (s+1)(s+2) d.…

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