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Q: Prove that if p> 3 is a prime number, then 24 | (p2 - 1).

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Q: 1. Suppose three cards are selected from a standard deck of 52 cards and laid out in a row on a tabl...

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Q: 7-cos4x > -2 cos c. 2

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Q: Find the Particular Solution indicated. (Homogenous Linear Equation with Constant Coeffiecients) Sh...

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Q: (L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these e...

A: Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v   To prove: A*=M-1ATC  

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A: given ω=2x2+y24y dx-x dy be a one form on U= ℝ2/0,0 and ϕ:V→U be the smooth function ϕr,t=r cost , r...

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Q: Q1. a. The function f(x)= Vx is tabulated as follows: 1.3 1.5 1.7 f(x)|1.14018|1.22474| 1.30384 Use ...

A: As per our company guidelines, we can solve first question for you. If you want other question to be...

Q: 2. Let |A| = 12, |B| = 7,|C| = 9, and exactly 3 elements are common for A and B, exactly 5 elements ...

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Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

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Q: Question 1 -x Consider : f(x) = e ?, f'(x)=-xe -e Find for f(x): a) The critical number(s). b) The a...

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Q: Find the Laplace transform of the following function. That is, determine coefficient A f (t) 6e 5t +...

A: We have ,  f(t) = 6e-5t + e3t + 5t3 - 9 We need to find Laplace transform first, F(s) = L(f(t)) F(s)...

Q: Find the area of the region bounded by the graph of Z F7(2).png f(x) = avbx – x2 and g(x) = cx || %3...

A: ∫ab​f(x)dx≈Δx3​(f(x0​)+4f(x1​)+2f(x2​)+4f(x3​)+2f(x4​)+⋯+2f(xn-2​)+4f(xn-1​)+f(xn​))whereΔx=b-an

Q: ** 29. Assume that p and q are true statements and that r is a false statement. Which of the followi...

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Q: A= 1 B = 1 C = 5 f (x) = cos (Tx) for -1/2 < x < 1/2. Let the function be defined by (a) Sketch f (x...

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Q: 2 Compute each matrix sum or product if it is defined. If an expression is undefined, explain why. L...

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Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked ...

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Q: Consider the following statements: f: The tour will not go to Italy. g: The hotel fees are not inclu...

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Q: 3.

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Q: Solve for y cos>x + jsinycosy - sin?x = 0.866 + jo.5 (А) 15° В) 45° (© 15°, 195° D 45°, 225°

A: Using the properties of the trigonometric functions, it can be written that: sin2A=2sinAcosAcos2A=co...

Q: P = (A,0, 0) P2 = (0, B,0) P3 = (0,0, C) a) Find the equation of the plane formed by the three point...

A: The equation of a plane that passes through the points (p, 0, 0), 0, q, 0, 0, 0, r is defined as xp+...

Q: The directional derivative of f(, y) = In(x² + y²) at the point P(1,5) in the direction v (3, 4) is ...

A: We have to find the directional derivative of the function fx, y=lnx2+y2 at the point 1, 5 in the di...

Q: 8. The truth table of the compound propositionp- (g-r) is given below, par TT T TT F TF T T. TFF FTT...

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Q: 1. The function f(x) is given in the following tabulated form. Compute [18 f(x)dx with h= 0.3 and wi...

A: Given integration is ∫01.8f(x)dx By method of composite rectangle ∫abf(x)dx≈hf(x1)+f(x2)+...+f(xn) W...

Q: Z1 sinh-(5el2) in rectangular form Z2 = tan-1(4 - j7) in rectangular form 4-j2 Z3 = tanh-(4e-j3) in ...

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Q: Let p, q, and r be the propositions p: You get an A on the final exam. q: You do every exercise give...

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Q: D - A Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}. Find

A: Let P, Q be two sets. The set P-Q contains all the elements that are present in set P but not in set...

Q: 1 2 Consider A = 0 - 1 and the vector ï = 2 Find Ax and sketch both i and Ar: 0 0 2

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Q: 2 = (A, 0, 0) 2 = (0, B,0) ?3 = (0,0, C') a) Find the equation of the plane formed by the three poin...

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Q: Prove, that if 2m + 1 is a prime number, then m must be a power of 2 (m = 2n, for some n ∈ N). Prime...

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Q: Decide with justification if the following sets of vectors are linearly independent. (i) {2 } 3 2 (i...

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Q: Given the sequence of numbers: {-3,9,-27,..} a) What kind of set is the sequence? b) What kind of pr...

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Q: Based on the measures provided in the diagram, determine the measure of the angle . (You may assume...

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A: We have to form two equations based on the given information then we can form these equations into A...

Q: The volumes of two similar figures are given. The surface area of the larger figure is given. Find t...

A: Scale =volume of larger figurevolume of smaller figure3=262513443=13.7911.03=1.25Surface area of sma...

Q: Learning Task 4: Given the equation x² +y² =9 . %3D 1. Differentiate using implicit differentiation....

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

Q: On 2 November 2014, Murni saved RM2,400 in an account that pays 8.6% per annum simple interest. Thre...

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Q: You are not allowed to use a calculator in this question. В A (4V3+1) cm - diagram shows triangle AB...

A: given figure  

Q: 3. Let the curve C be traced by the vector-valued function R(t) = cos(at) î + at j + sin(at) k. Find...

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Q: d²y dy *+y=t?-2t +3 4. dt dt?

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Q: Find the Lapce Transform. 1. f(t)=(te^at)(cosbt) 2. f(t)= -2cos6t+5sin6t 3. f(t)=7t+6e^t -2e^-t-1...

A: Properties of Laplace transformation  Lcosat=ss2+a2 Lsinat=as2+a2 Leatcosbt=s-a(s-a)2+b2 Ltnf(t)=(-...

Q: Let w = (x° + y) dæ + z dy + (x + y°) dz and n = 5 dx + (z – 5) dz. :- Find the wedge product w A N....

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Q: A 1970 comic book has appreciated 10% per year and originally sold for $0.35. What will it be worth ...

A: The exponential growth or decay is modelled using the equation: A(t)=a1±rt, where a is the initial v...

Q: Solve the differential equatons (2x + Y I+ x²yª 1. dx 1+ (xy)2/ dy

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Q: Prove that an angle of 0 radians is constructible if and only if the real number cosA(sine) construc...

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: The distance of a point in the 3-D system from the origin A. is defined by the absolute value of the...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: ly 12 of these are available each day. Each casserole dish requires 2 special pick-up handles and on...

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Q: Solve for the unknowns using the Gauss-Siedel and Jacobi methods up to a tolerance of about 1x105 3x...

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