P(5,2,-1), Q(1,-3,-2), T(4,1,5) forms a triangle. find the vector projection of Rqp perpendicular on Rqt

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Q: Using two intervals of Simpson's 1/3 rule, an estimate value of f(x) dx is 11.51. The estimate of…

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Q: 2. Show that the series is conditionally convergent ∞ n=2 cos(nx) √n ln n

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Q: Determine the value of z in the below equation, giving the answer in the form x + yi. z-8=i (7-2z)

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Q: y = y= 1 sinx-cost It Sinh tesy 1 sinxtrost 1+ sinx-cOS X Xi-2-5 Newton method of optimization

A: We can solve this using formula of baton rajaon method

Q: On your birthday your great aunt gave you $19000. You would like to invest at least $4000 of the…

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Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

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Q: 2. Topologically sort the vertices of the digraph below. Your answer should be a sequence (list) of…

A: To find topologically sort the vertices of the diagraph A topological sort of a digraph is a linear…

Q: The regular price of a color 441.87 During a sale, Hill TV is selling the TV for 358.12. Determine…

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Q: 9. Using integration by parts, Then k is? (a) - 1.5136 [*²x³ cos(x²) dx = k − [*³x sin(x²) dx -…

A: Given integral is ∫02x3cosx2dx

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Q: Apply Milne's method, to find a solution of the differential equation y=x-y² in the range 0≤x≤1 for…

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Q: II. Find Do not simplify your answers. dy dx tan-¹(cosh.r) 2. y= (sin²x) (sech x)sec z [use…

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Q: he offers two products, turntables and cassette players. makes a profit of P300.00 on each…

A: Given that Garry Mornes assembles stereo equipment for sale in his shop he offers two products,…

Q: ᴸᵉᵗ µ ᵇᵉ ᵗʰᵉ ᶜᵒᵘⁿᵗⁱⁿᵍ ᵐᵉᵃˢᵘʳᵉ ᵒⁿ ᴺ. ᴸᵉᵗ ᴱ¹ ⁼ {¹, ², ⁴, ⁵} ᵃⁿᵈ ᴱ² ⁼ {ˣ | ˣ ⁱˢ ᵃ ᵖᵒˢⁱᵗⁱᵛᵉ ⁿᵃᵗᵘʳᵃˡ…

A: Given : It is given that  μ is a counting measure on ℕ  with  E1 = 1, 2, 4, 5  and,…

Q: For the following linear system, find the inverse of the coefficient matrix using Gaussian…

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Q: Let A be a fixed 10 x 10 matrix and let H be the set of all 10 x 10 matrices N with the property…

A: Given that A is fixed 10×10 matrix and H=N  NTA=AN. To find : H is a subspace of all  10×10 matrix…

Q: In 3 Using 4-node Gaussian integration in approximating ³ x ex dx, which f(x) in the formula has…

A: Given: Let us consider the given, ∫1ln 3x ex dx and determine the approximation using 4-node…

Q: Use a power series to approximate the definite integral, I, to six decimal places. 10⁰d +5 dx 1+x7…

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Q: State whether the following statements are VALID or INVALID. If today is April 22, then I have a…

A: We have to state whether the following statements are valid or invalid.

Q: The price-demand equation of a certain bag is given by z = 6000 - 30p, where a is the number of…

A: Given: The price demand equation is x=6000-30p, where x is number of units that can be sold monthly…

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: We have to find the value of y at x=5.00

Q: Let T: P₂- R² be defined by +T (PO) = [PⓇ]. (a) Find a polynomial p(t) in P₂ that spans the kernel…

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Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A: We need to find the equation of the surface. Please find step by step solution below:

Q: 2. Given the matrix A below, solve for det inv A. A = 1 0 0 11 02 1 1 2 1 0 1 0 14J ¹2

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Q: Find the first five non-zero terms of power series centered at x = 0 for the function representation…

A: We are given the function: f(x)=x^3/(1+3x) at x=0.

Q: Determine all complex solutions of the equation cos(z) = 2.

A: First represent cosz in exponential form then make quadratic equations to find solutions as in next…

Q: Explain why you think the series Σ01 -1)! (n+1)! converges to a finite number or diverges. If the…

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Q: Find the radius of convergence, R, of the series. Σ(-1)" to 3 In(n) n = 2 R = Find the interval, I,…

A: Note :  As per our guidelines we will solve only first question . If you want any specific question…

Q: III. Use Squeeze Theorem to evaluate lim 8478 COS X log x

A: To Evaluate: limx→+∞cosxlog12x by using squeeze theorem:

Q: Q₁: solve the following differential equati a) xy' y = x + 2 y ² 4 the to b) (x+y) dx - xdy = o 1 0…

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Q: 1. Let k € N. Determine all values of a such that Sink converges. an R

A: Suppose k∈ℕ and consider the series: ∑n=0∞nkanTo find: All values of a such that ∑n=0∞nkan…

Q: Identify and draw a sketch of the surface [(x-2)] ^2/9+ [(y-3)) ^2/4- 【(z-1)]^2/36=1 O elliptic…

A: We will generalize the equation and then identify the type of surface  Elliptical hyperboloid of…

Q: By determining which vertices should be red, green, and blue, give a proper 3-coloring of the graph…

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Q: 2. Show that lim (x,y)→(−1,0) (x + 1)² sin y (x + 1)4 + y² does not exist.

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Q: Write the following English sentences in symbolic form- 1. Birds fly if and only if sky is clear.…

A: We have to write the given sentences in symbolic form.

Q: Using 1 - node Gaussian integration, we have f f(x) dx ≈ w₁f(x₁). What is the value of w₁ ? b+a (a)…

A: Given that using 1-node Gaussian integration, we have…

Q: Use mathematical induction to prove и исин) {i= VEN 2 1 = 1

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Q: For the following linear system, find the inverse of the coefficient matrix using Gaussian…

A: The given system is: 6x+3y+2z=66x+4y+3z=020x+15y+12z=0 To find: Inverse using Gaussian-elimination…

Q: Given f(x)=√x-5; x+5 and g(x)=x+3. Find the domain of (gof)(x)?

A: Given f(x) = x-5g(x) = x+3

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: To find: Value of f(5.00) Using Lagrange interpolating Polynomial Rule.

Q: .Using 1 – node Gaussian integration, we have ſ ƒ(x) dx ≈ w₁ƒ (x₁). What is the value of x₁ ? b+a…

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Q: 1 A spring is such that a 4-lb weight stretches it 6 in. An impressed force; -cos8t is acting on the…

A: We have to determine the position of the weight as a function of time x(t).

Q: Lk -8 k - 11 6. Assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: a+b+c+d=13 2a + 3b-c-1 -3a + 4b + 2c + d = 10 a + 2b + c d = 1

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Q: 5. Use variation of parameters to find a general solution of the system, x'(t) = Ax(t) + f(t), where…

A: We have to find the general solution of the given problem.

Q: f(z) = cos(C * z)

A: Here we use the property of the analytic function.

Q: consider that; sin²t has the t 00 forem L[ f(t)] = F(s) ds with S f(t) = sin²t. Find F(s) in order…

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Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

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Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.