Use the distributive property to write the expression x(x+8) without parentheses. Simplify the result, if possible.

Q: 3. [2 3 1-1221 and 8=6²-41 0 Lo Given A = B , show that (AB)T = BT AT.

A: Given matrices are A = 2101-21 ,  B = 23104-1

Q: 5. Evaluate the following integrals & • §. с Z e CASTZ dz, c: 1Z-il=1.5 ans? -uisinh/2 n **********

A: 5. To evaluate: ∮Cezcosπzdz where C: |z-i|=1.5

Q: -11-10-9-8 17 -6 -2 4 17 16+ b2t 15 13 11 10- 9 8 6 4 3- 2 b + -2 -3 -4 -6- -7- -10- -13- +-16+ Find…

A: Sol:- As we know the graph of f(x) = tan(x) is similar to above :-

Q: Find the area of the shaded region under the standard normal distribution between the given…

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Q: Which of the following is an "even" function of t? Ot² t²-4t sin(2t) + 3t O +³ +6

A: Even Function - For a real-valued function f(t), when the output value of f(-t) is the same as f(t),…

Q: Consider the following equation: +14+127 +4267 +962y = 926u. (t) NOTE: This is a multi-part…

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Q: Given surface A: 4x² - 9y² = 9(z² + 4) 1. Find an equation of the trace of A on each of the…

A: As per the question we are given a 3d surface A : 4x2 - 9y2 = 9(z2 + 4) And we have to find : The…

Q: Given the double integral i fodyda. +y² 2.1 Sketch the region of integration. 2.2 Evaluate the above…

A: The given integral is ∫13∫0x1x2+y2dydx: (a) To sketch: The region of integration. To Evaluate the…

Q: ● I=S dx z(20+2x)

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Q: 6. Evaluate the following real integrals by residue theorem 3 & •S= Sin H соз mx ~ (x²+a ²) (x²+ b²)…

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Q: Advanced Math Question

A: A quadrilateral is trapezium if the opposite sides are parallel A quadrilateral is Isosceles…

Q: Find a power series for f(x) =

A: Given,          f(x)=6x(x2+1)2,   x<1

Q: Determine wo, R, and 8 so as to write the given expression in the form u = Rcos(@ot 8). - u =…

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Q: 13. Prove the "∞o/o" case of l'Hopital's rule. That is, prove that if f : I→ R and g: I → R are…

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Q: Q.55 Let A E Rmxn, c E Rn and be Rm. Consider the linear programming primal problem (A) crº≥ b yº…

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Q: Which is faster: a speedboat on water traveling at 70 meters per second, or a supercar on the…

A: We know that 1 mi≈1.61 km  A supercar is travelling 170 miles per hour, therefore it travels…

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: Given the following periodic function, f(t), find the Fourier series coefficient, ao, where a = =…

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Q: Find the solution of the initial value problem 32 y" + 64y = 0, y(0) = 0, y'(0) NOTE: Use t for the…

A: y''+64y=0, y(0)=0, y'(0)=325

Q: P(s) = +50s²+281s+500 s4+15s³ +75s² +125s 3s³

A:

Q: (PQ) [(A+D+1) − (B+C)] = 0, -

A: given  P=A+DQ+B+CP-Be-d            18 and  Q=A+DP+B+CQ-Be-d            19 subtract equation (19)…

Q: 7. Based on the pattern below, draw the next figure.

A: Let us solve the given pattern based problem in the next step.

Q: =S & • I = dx (x²+9²)2

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Q: Consider the Venn diagram below. Shade the region corresponding to: (An B) nCº Aº - (B UC) B

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Q: Determine x(t) for the following x(w) a. 2jw+4/w2-4

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Interior angle 60° LAWN'S В' US ,555 5555 Luke and Amy are starting a summer lawn-mowing business…

A: The regular hexagon is composed of 6 equilateral triangles We know that each angle of equilateral…

Q: This under subject of Linear Algebra and Vector Analysis

A: Given : z=1-x2-y2             F ⇀ =z-yi^+x -zj^  +x-yk^ Verify : Stokes's Theorem

Q: -6 -5 -4 -3 & -1 7 16 5 432 1 ↓ 3 4 Find an equation for the graph above. 5 x 6

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Q: (a) Find the general solution in terms of real functions. (b) From the roots of the characteristic…

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Q: 3. The inverse demand function for a commodity is given by p = 41 -0.33q and the cost of producing…

A: Given the inverse demand function is p=41-0.33q Let revenue function is Rq. So, Rq=pqRq=41q-0.33q2…

Q: Find the one-sided limit L (if it exists). (If an answer does not exist, enter DNE.) Ilm ++ (x-2) x-…

A: As, Given, limx→0+x-1x3 The function decreases without a bound. So, limx→0+x-1x3 = - ∞

Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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Q: Find f(t). f(t) = 0 1 2 3 4 6 (t-3) (t + 3) (t - 3)² (t + 3)² (t-3)³ (t + 3)³ (t (t + 3)²/2 - 3)²/2…

A: Inverse Laplace transform

Q: Find the solution of the given initial value problem. 5y""+120y' 800y = 0; y(0) = 11, y'(0) = 26,…

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Q: More Matr - Susan purchased 3 CDs, 4 DVDs and 2 cassettes from a music store. Each CD cost $15, each…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: YA X If the equation of the circle is x² + y² = r² and the equation of the tangent line is y = mx +…

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Q: The series (an - an+1) converges iff the sequence an converges. (Tips: Cauchy Criterion for Series)

A: We have to prove that, the series ∑n=1∞an−an+1 converges if and only if the sequence an converges.…

Q: A) B) dx₁ dt dx₂ dt dx₁ dt dx2 dt dx₁ dt dx₂ Wh = x₁ + 2x₂ + 2x₁.x2 = x₁ + x₂-X1X2 is stable or…

A: Given :           A) dx1dt=x1+2x2+2x1x2    dx2dt=-x1+x2-2x1x2           B) dx1dt=-x1+x2+x12…

Q: Draw two indifference curves (identify which is associated with higher utility) for preferences in…

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Q: Give a basis for span(S), where S is the set given below. 1 2 3 2 -2 -1 1 0 2 -3 3 -5 -4 -3 Number…

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Q: 2 Find the limit infimum and supremum of 2 XA = √√√ 1+n² √1tn 2A-5 write the complete solution.

A: Limit infimum and limit suprimum

Q: Which of the following statements correctly describes the waveform corresponding to this frequency…

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Q: Find the surface area and volume of the figure below. 5 ft 5 ft Surface Area = Volume = 5 ft Q…

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Q: Select the correct answer below: x(t)=-4cost-2 and y(t) = -2tant - 3 Ox(t) = -2cost-3 and y(t) =…

A: Sol:- Correct choice :- First  Plotted:-

Q: Consider the following curve (image attached). a) Find the interval(s) on which f is increasing.…

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Q: Solve the following LPP using Big M-Method. Max P = 3x1 - 2x2 Subject to 2x1 + x2 ≥ 3 x1 + 2x2 ≤ 2…

A: The given problem is to solve the given linear programming problem with given constraints by using…

Q: By applying Fundamental Theorem of group homomorphism, show that the quotient groups GL(n, R)/SL(n,…

A: It is given that,  GL(n, ℝ) is the set of general linear group of all n×n matrices and  SL(n, ℝ) is…

Q: f(t) = 5te-²t cos(3t)

A: We have to solve the given problem by Laplace transform.

Q: d) sin(arcsin [Select] (4³)) = 1/³ by the Cancellation Property of Inverses 2 2 e) arctan(tan(-g))…

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Q: 6. Suppose that every vertex of a tree has either degree 4 or degree 1. If there are 100 vertices of…

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