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Q: 1 5. If the Laplace transform of f(t) = , find F(4s) %3D
A: We have given that , Laplace transform of , f(t) is e1ss. We need to find , F(4s). We know that ,...
Q: 1.identify the fixed points, cobweb the diagram, and assess whether the fixed point is an attractor ...
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Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =
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Q: Proposition 12. Let n be a nonnegative integer. Then 3|(52n – 1). - Hint: Try induction on n. Proof.
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Q: 1. Schve for the orthogonal traectories (a+x )y² = x*( 3a-x) 2.
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Q: The lines / and m have equations r 3i- 2j+ k+1(-i+2j + k) and r 4i + 4j +2k + u(ai+ bj- k) respectiv...
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Q: Find the equation of the tangent plane to the surface 2= 42 + 3y+7zy at the point (0,-1,3).
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Q: For integers n >1, 2 3 1 + 2! n 1 1- 3! 4! (n+ 1)! (n + 1)!
A: solving the problem using induction:
Q: & Gier, Mamiten 3. - 2 -4 -6 12 15 3 -12 3 ID 2. ーC 4 6. 4 15 4x 5 5x3 No.of Column A No.of mws in B...
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Q: Describe the conditions that would create an ambiguous case with two possible solutions.
A: Ambiguious case of law of sines. Now lets take an example. Now let angle A be 45 degrees, side a =9 ...
Q: Q6/ Find the moment of inertia and radius of gyration about the x-axis of a thin plate bounded by th...
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Q: Convert the given mathematical expressions into its corresponding C++ language expression using the ...
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Q: Suppose a graph has vertices of degree 0, 2, 2, 3 and 9. How many edges does the graph have? Provid...
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Q: Let D be the solid which is obtained by rotating the region bounded by the curve y = r+x-2 and y = 0...
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Q: exists mo so that for k > mo, |ak| < 1? If you can do on test.)
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Q: Proposition 9. Let n be a non-negative integer. Then 1+ 2+4+ 8+ ...+ 2" = 2"+1 – 1. Special directio...
A: Using combinatorial proof, we have to prove 1+2+4+8+⋯+2n=2n+1-1 where n is a non-negative integer.
Q: Determine whether the series coqverges or diverges. n + 6 n2 n-1 O converges O diverges
A: Here we will use Comparison test Comparison Test Let U=un and V=vn be real sequences and suppose...
Q: Find an equation for the graph shown below. (Hint: use the form y = a(x – h)? + k) -6 -5 -4 -3 -2 -1...
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Q: Question 1.3. Prove that if (ar) is such that E, ak is convergent, then for br Eo bk is also converg...
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Q: Let G be a connected graph and e and edge of G. Prove that k(G) = k(G - e) + k(G/e). Here k(G) repre...
A: Given G be a connected graph and e an edge of G we have to prove that kG=kG-e+kG/e here k(G) repre...
Q: H.W: Obtain the Laplace Transform of the delayed function (t– 3)u(t – 3). (t – 3)u(t – 3) 45° 3.
A: We have to find the Laplace transformation of the delayed function.
Q: in the complex number 8-2i, the argument is
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Q: Let V be a finite-dimensional vector space over a field F, and let T:V → V be a linear transformatio...
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Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2 cos^(...
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Q: Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the stru...
A: Given that V be the vector space of polynomials of degree ≤2 with real coefficient, endowed with the...
Q: Determine whether each of the following statements is true. If true, prove it. If false, give a coun...
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Q: Find the symmetric equations for the normal line LN to the surface S:f (x, y) = 5Vx2 + y? at the poi...
A: if f is function of (x,y,z) then gradient of f is defined asfx i + fy j + fz k ∇f is the normal to...
Q: nav's school is selling tickets to the annual dance competition. On the first day of ticket sales th...
A: Given: On first day 1 senior citizen ticket and 4 student tickets for rs $23. On second day 12 senio...
Q: Choi Home Repair needs to accumulate $22,000 in 6 years to purchase new equipment. What sinking fund...
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Q: +oo +oo n² – 1 n2 +1 (-1)" (a) Σ (c) )un where sn = u1 +... + un = n! n=1 n=1 +oo 1 - 11 n=1
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Q: 1. Using the properties of determinants, solve with a minimum of calculation the following equation ...
A: We have,xaa1axb1abx1abc1=0Applying R2→R2-R1R3→R3-R1R4→R4-R1 we get,xaa1a-xx-ab-a0a-xb-ax-a0a-xb-ac-a...
Q: It is given that the Roll's theorem holds for the function f(z) = + ar + bar, 15 52 at a point c . T...
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Q: 2. f (t) = 2 cosh² 3t
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Q: Compute f'cx) of ×そ9 O f(x)- X-3 at X, = 3 の f(x)= x*+ ラメ+ タメ+1 at Xo=-2 f(x)= 4cos x + 2 sinx at X=...
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Q: 7k Let ak = Which of the following inequalities is/are true for any positive integer k? k2 +| sin k|...
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Q: Let A, B, C be sets. Use a sequence of set equalities to show that: AU(BnC) = (C UB)n A
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Q: f(t) 1 2π
A: Graph of periodic function is given. We determine b4.
Q: f (t) 7t2 te-4t
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Q: 1+x
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Q: A Tale of Two Cities The average number of phone calls per day between two cities used to be approxi...
A: Here we will use joint variation model . If Z is proportional to x and inversely proportional to y ...
Q: The bottom of a large theater screen is 6 ft above your eye level and the top of the screen is 20 t ...
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Q: +o0 Σ)
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Q: Given the surfaces: S : (r – 1)2 + (y – 1)? = 1, S2 : r = y, Sa : 2? = -(z – 1) Sa : x+z = 1, S : r ...
A: Given the set of surfaces S1:x-12+y-12=1S2:x2=yS3:x2=-z-1S4:x+z=1 in the 1st quadrant.
Q: 7. Check if the following graphs G and H are isomorphic. G: H:
A: Given the graphs G and H below.
Q: 18.14. Suppose f(2) is an entire function with f(z) = f(z+1) = f (z+i) for all z E C. Show that f(z)...
A: Here The function f(z) is entire And f(z)=f(z+1)=f(z+i) for all z in C. We have this Theorem Sta...
Q: . Integrating factors found by inspection 1. y(y – x)dx + x(y³ + x)dy = 0 when y(1) = 0 2. (x³y³ + 1...
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Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -
A: Note : " As per our guidelines we will solve only first question . If you want any specific question...
Q: 6. Write a user-defined MATLAB function that determines the area of a triangle when the lengths of t...
A: Ws will use Matlab command to define this function
Q: A group of college students was surveyed to determine their favorite class among History, Mathematic...
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Q: 2) y" - 2xy' +y
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