A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29° and 53° with the beam. Find, using vectors, the tension in the cables. A vector diagram is required.

Q: The multiplicative inverse of x²+x-1 in Z5 [x]/ is: O x^3 O x+1 O x^4 O None

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Q: 0.7 0.6 H.w1: evaluate fofo ex siny dx dy i) using the trapizodial rule in both direction, Ax = Ay =…

A: To evaluate the definite integral ∫abfxdx, use the following formulae. Trapezoidal Rule:…

Q: Prove that.

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Q: termine if F~ (x, y, z) ), where F~ (x, y, z) = e^x*sin (y)ˆi+e^y*sin (z)ˆj+e^z*sin (x)ˆk. is a…

A: Given,         F→x, y, z=exsin(y)i^+eysin(z)j^+ezsin(x)k^

Q: I Use the bisection method to find p3 for f(x) = r - 16 2 on [0, 1]. 0 0100 نت | حظر 3 ده | د |- 4 د…

A: To reach the exact root halving the interval in each step. P3 is the third approximate step.

Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y): = x² + y² +…

A: The given problem is to find the rate of change in temperature T from given point within given…

Q: slope of the line that connects the following two points?Point 1: x = 2 y = 5.6Point 2: x = 0.6 y =…

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Q: Hand written plz In each of Problem, find a fundamental matrix for the system with the given…

A: Solution of the system of differential equations X'=AX  Is the fundamental matrix.

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: -21 Given that Y, (t) = e a FUNDAMENTAL SET of solutions. and Y₂ (t) = e-³t are solutions of the…

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Q: Evaluate the z transform of x(n) = c" u(n

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Q: Which type of speech parts, the below words belong to? Show the part of speech with more details,…

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Q: 24 -5-3 If R = and C= -3 1 64 and hence solve the matrix equation R = CS. find the inverse of C

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Q: ces adding in order as 1-0,1-2, 2-0, 2-3 and 3-1

A: KRON node elimination technique is the direct determination of the Zbus matrix without forming the…

Q: Find the Fourier series of the function f(x) = |x| which is defined over the range - TT<x< TT.

A: Fourier series of the function

Q: 9. Find the numerical Integration of ſo cos(x) + sin (x) where n = 4 using trapezoidal rule.

A: Trapezoidal rule: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn) Here, h=b-aN and N is the number of…

Q: Find the area of the surface generated when the curve f(x) = 9 tanx on [] Area = (Type an integer or…

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Q: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

A: The given problem is to convert the given partial differential equations into the system of ODEs by…

Q: Give all the integer solutions of the congruence 56x-12=0 (mod 23).

A: Given congruence 56x-12 ≡ 0 (mod 23) i.e., 56x ≡ 12 (mod 23) i.e., 10x ≡ 12 (mod 23) We know that,…

Q: The polar equation r(0) = 4 + 5. sin(0) is graphed below. 15- 14 13- 12 11 10- 9 8 7 6 5 O 4 3 2 10…

A: Please see the type syntax

Q: Let R be the region in the first quadrant that is enclosed by y = f(z) (or z = g(y)) and y = z as…

A: Arc length of a curve y=f(x)  where a≤x≤b L=∫ab1+dydx2dx

Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A: Improper integral and it's convergence

Q: x = 1, y = 5 X₁-2, ₁-3, Given x. -4, y. -1 (a) Use the Lagrange interpolation method find quadratic…

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Q: X = 1 + 6t y = 2 + 4t, t ER z = 2t A line is defined by the parametric equation L : If the point (a,…

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Q: Task 2: Triple Integral Given a solid bounded by the paraboloid z = 16-1²-y² in the first octant.…

A: Given: z=16-x2-y2 To find: Volume

Q: A manufacturing process has marginal costs given in the table; the item sells for $34 per unit. At…

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Q: Give all the integer solutions of the diophantine equation 112x+46y=6

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Q: 12. The golden ratio is a famous number/ratio in mathematics that can be traced back to the work of…

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Q: Hand written plz 2. Standardize the following LP model. - max z = −3x₁ + 8x₂ − x3 + 12x, - 3x₁ +8x₂…

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Q: 7.1.1. Find the Fourier transform of the following functions: (a) e−(x+4)², (b) e¯\x+¹, x, |x|<1,…

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Q: Express the signal, ?(?) shown below as a sum of Fourier series and then in terms of the sin-cos…

A: Given that: The minimum and maximum values are -1 and 1. The objective is to express the signal. Now…

Q: Situation 3. A stone is shot on a level ground at an angle of 56° with the horizontal with an…

A: Stone is shot at an angle 560 from the ground with an initial velocity 112 m/s

Q: 8: What are the values of k E R for which the function f(X) = -2kx² + x₁x² + 4x will have a strict…

A: Let us solve the calculus problem in the next steps.

Q: If u and v are the two solutions of d'y dy dx² + P + Qy = 0 dx uv₂u₂v + P (uv₁ - u₁v) = 0 (uv₁u₁v) =…

A: The given differential equation is d2ydx2+Pdydx+Qy=0.....(1) To prove: (a) uv2-u2v+Puv1-u1v=0…

Q: 5 the following Tuation Sutisfied Cauchy - Rieman. equation 4 W = Z Z" سر

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Q: 1: Which of the following vectors are linearly dependent? 21 1 2 A: -4 and L C: 0 B: 2 and 4 [3] [6]…

A: We know that definition of linearly dependent vectors ,  A set of vectors is linearly dependent if…

Q: 18: Which of the following functions has no critical points? A: f(x) = -x² + x² B: C: f(x) = x + x +…

A: which of the following functions has no critical points? A) fX=-x12+x22 B) fX=2x12+x22+2 C)…

Q: Find the orthogonal projection of -10 14 11 V = 15 onto the subspace V of R4 spanned by -1 2 1 X1 =…

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Q: (b) Find the differentiation of tan 4√√x 1-4x

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Q: temperature T of a heated circular plate with the origin being at the center 64 T(x, y): = x² + y² +…

A: The given problem is to find the rate of change of temperature equation from the given point and in…

Q: A(t) = 3t²i - (t+4)j + (t²-2t)k B(t) = sin(t) i + 3e-¹j - 3cos(t)k Find d² (A x B) at t=0 dt²

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Q: about Find the the given phone orea in cubic units) method. (onwers are the given line Using the…

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Q: (a) For each of the following linear transformations, write down its matrix and describe its type.…

A: (a) To find: the transformation matrices. Please post the multiple questions separately. Here I…

Q: 3x + 2y = 4 2x − y =-9 x + 3y = 13

A: We have: 3x+2y=42x-y=-9x+3y=13 This can be written as: 322-113xy=4-913 The augmented matrix is…

Q: 9: In the steepest descent method the vectors (Xk+1-Xk) and (Xk+2 - Xk+1) [2 [4] 2 are orthogonal…

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Q: Investor Dan has $758,000 to invest in a CD and a mutual fund. The CD yields 4.2% and the mutual…

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Q: k It is known that ( + (₁ ²₁₂) + (k) = (²+¹) (k + 1). Prove that r - 2 (k) + ( k + ¹ ) + ( k + ²) +…

A: We will use given formula and value of nr . nr=n!r!×n-r!

Q: ii) You invest $10000 in a mutual fund which grows at a certain percent every year. After 8 years…

A: The uniform rate of changing is the part of mathematics where the number is changing continuously at…

Q: Given that f(x) = x³ – 0.3x² − 8.56x +8.448. - Use polynomial interpolation to compute f'(x) and…

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Q: 2. Minimize: Z = 20X₁ + 10X₂ + 80X3 Subject to: X₁ + X₂ + X3 ≥ 6 : 2X₁ + 4X₂ + X3 = 20 2X₁ + X₂ ≤ 5…

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