For Example: Calculate the length of the maximum height of the king post in a roof truss to ensure that the slope of the roof is less than 10°. The width of the house will be 40 feet. 40ft tan 8 = opp adj X tan 10° 20 ft 20 ft • tan 10° = x x = 3.52 ft Therefore the king post should be no longer than 3ft 6in.

Q: Does the following series converge absolutely, converge conditionally, or diverge? 4 9 + 23 +1 33+1…

A: The given series,a)

Q: b.A firm's production function is given by F(K, L) = K² L¹. Each unit of K costs $1.2 and each unit…

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Q: transformada de laplace f(t): e^tcosht

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Q: e the method for solving homogeneous equations to solve the following differential equation. (2x² -…

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Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

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Q: Denote the owl and wood rat populations at time k by x₁ = [] where is the time in months, O, is the…

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Q: 4. let A be a 4 x 4 matrix with eigenvalues 2 and -2 Find Rank(A), Nullity(A), Tr(A), det(A). www…

A: We have to find the Rank(A),Nulity(A),Tr(A),det(A)

Q: 5. Solve by using power series: y' = x^y. Find the recurrence relation and compute the first 21…

A: The Power series methodWe find the series solution of the given differential equation .Since x=0 is…

Q: If a ball is thrown into the air with a velocity of 62 ft/s, its height (in feet) after t seconds is…

A: The height function is: .To Find: Velocity when .Note- Since multiple questions have been posted,…

Q: A biologist on a 50-meter observation tower at the edge of a beach sees a great white shark swimming…

A: To solve this problem, we can use trigonometry. Given the angle of depression, we can determine the…

Q: Find an exponential generating function for the number of permutations with repetition of length n…

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Q: a) Draw a sketch of y = cos 2x - 2sin x for 0≤x≤ 3π showing all its important features. You may want…

A: Domain of the given function Periodicity of Extreme points areNo asymptotesRange of

Q: 1. ( Let A = Eigenvalues: Eigenvectors: 1 0 0 0 2 2 0 0 7120 Is the matrix A diagonalizable? 3382 0…

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Q: Find the minimum and maximum values of the function f(x, y, z) = x - y-2° subject to the constraint…

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Q: 2 2 6. State why = u,₁²v₁² + u₁₂²v₂² is NOT an inner product space for 2 u = (U₁₁U₂) and V = (V₁, V₂…

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Q: normal is drawn to the hyperbola         x^2/a^2+y^2/b^2=1 meets the transverse axis at G. If…

A: A normal is drawn to the hyperbola meets the transverse axis at G. If perpendicular from G on the…

Q: The equation below shows the differentiation of v(t) to calculate the acceleration, measured in…

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Q: If f(x, y) = xy² is a continuous function on R= [1, 5] x [0, 2] then ² f (xy²) dxdy = f² xdx…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: 4. Use chain rule to find dw if w = √3q³r+cos (2r), where q=3t² +2st and r at 21

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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h…

A: Please refer to the solution in next step.

Q: Let p∣o(G), where G is a finite group and p any prime number. Then a Sylow p-subgroup H of G is…

A: H is unique sylow p-subgroup of G.We now show that H is normal in G.

Q: K Evaluate the definite integral. 58 58 SAV 4√Z-3 ³√z 4√Z-3 dz dz= 9 (Type an integer or decimal…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 2/3 | (0…

A: with n=8Approximate by usingTrapezoidal rule, Midpoint rule, and Simpson's rule.

Q: The Washington Monument is 169 meters tall with a square base 16.8 m wide. An artist plans to…

A: Given:The base of the monument is a square of length 16.8 m.Therefore, the actual side length of the…

Q: use determinants to solve the simultaneous equations given.

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Q: A small flying toy drone is launched into the air, rises for a time, and then crashes to the ground.…

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Q: Suppose that the equation (x + y + z²)e² = 1 defines z implicitly as a func Əz following is a…

A: We have We have to find

Q: Let G be a group with the operation * and let H be a subgroup of G. Show that if H and G/H have the…

A: To show that H is a normal subgroup of G, we need to demonstrate that for every element g in G, the…

Q: Find the area bounded by outside the first curve and inside the second curve, r = 5 and r =…

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Q: Find a power series for the function f (x) = x2/(1 + x3)

A: We have to find the power series for the function f (x) = x²/(1 + x³)

Q: Find all other zeros of P(x)=x^(3)+5x^(2)+9x+5, given that -2-i is a zero. (If there is more than…

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Q: In how many ways can we paint the 10 rooms of a hotel if at most 3 can be painted red, at most 2…

A: Let us find the possible no. Of ways.using combination formulae.

Q: Use the method for solving homogeneous equations to solve the following differential equation. dx _…

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Q: A-[2²]. 34 Let A Give A!

A: We are given Matrix A.We have to find the inverse of the matrix A.

Q: 5. What is the distance between U = a. √11 b. √5 C. 9 d. 5 1 -1 2 3 and v= 1 2 3 4 ?

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Q: Consider the following statements about Span -{0·0·0}{0} and Span each statement is true or false.…

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Q: Let y be a first order formula such that x, and Va, do not appear in p. Show that ₂ X

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Q: 9.18 Invertible (none of the eigenvalues are zero). det(A) = −12, Tr(A) = 1. 2 det(A-¹) = -2,…

A: Let us use some results to find the determinant and trace of matrices.

Q: Loan Payment Formula (Installment Loans) Px (APR) 1-(1+APR) PMT= APR (ny) Suppose you have a credit…

A: Given thatThe credit balance is annual interest rate is Time is n=12Here we need to find the monthly…

Q: K The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

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Q: but the answer to the problem is "not possible" not 0.  I have to add parenthesis to the first line…

A: We have to add parenthesis to the first line to make the problem look exactly like  one that is…

Q: Find the inverse of f. Then use a graphing utility to plot the graphs off and f-¹ on the same set of…

A: The given function is .We have to find the inverse function and sketch its graph.

Q: can you show how you got 625 for k and L? and how did you get them at $375

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Q: Find an exponential generating function for the number of permutations with repetition of length n…

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Q: What is the Banach-Steinhaus theorem and how does it relate to the concept of bounded linear…

A: A normed vector space is a vector space with a norm, which allows us to quantify the distance…

Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: Given:The given integral is .Also, given that .To Find:(a) We have to use the Trapezoidal rule to…

Q: 2. A ladder 10 m long is leaning against a vertical wall. If the bottom of the towards the wall at…

A: The length of the ladder is The bottom of the ladder is pushed horizontally towards the wall at We…

Q: Solve Ax=b for x when A 1 201 b[3] geven that

A: The given system .We have to solve the system for  when  and .

Q: Y₁i = Y₁ 4₁₁ +Z₁₁ S₁ + M₁i Yzi i 42i =Y₂Y₁i + Z2i√₂ + M₂i 2

A: In this solution we will discuss the way to solve the reduced form, when a equation structure model…