By using convolution find L{Sf e*cos(t – T)dr} Lütfen birini seçin: А. 3s (s+3)(s² +1) O B. (s+3)(s²+1) C. (s–3)(s2–1) 3 D. (s–3)(s²+1) E. (s-3)(s²+1)

Q: Oz Aradom Variable(x) has the following cof FX(X) = (x³ + x) al find the pdf of X find Pro <xcot)…

A: Given that: The cdf of random variable X is given as: FxX=12X3+X      where 0≤X≤1

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Q: 512x 1-x -3 - =—1 find volue of Σ(x²)"=? n=1

A: Given that the equation 512x1-x-3=-1   .

Q: 5. What values should be assigned to coefficients a1, a2, and az, so that the quadrature formula…

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Q: Use the convolution theorem to find f (t) 14 l(s+2)(s-5))

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Q: Let V(x, y) = 4 ln(-8x² + 4y). Graph the boundary of the domain of V below. 7+ 6 -7 -6 -5 -4 -3 -2…

A: lnx is defined for x&gt;0. Here V(x, y)=4ln(-8x²+4y)=ln(-8x²+4y)⁴. So V is defined when…

Q: 4s – 1 L-1 Is?(s+ 1)3

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Q: p(x) = a + ax + a,x² + ... + 10x?

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Q: し- [x. +J+aCy-XP.-sPz> what is the paihial of x, ? derivahire in teams

A: In partial differentiation, we find the rate of change of a function with respect to one variable…

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Q: (A) Evaluate f (4r - 5) (4/E+4r) dr. dy (B) Find if y =| + 3x - when z = 1 %3D da 6.

A: Evaluate the integral and find the derivative of y at x=1

Q: Let g(t) = (t² + 3)(t – 4) and h(t) = t3 – 4t2 + kt – 12. For what value of k does g(t) = h(t)? k =

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Q: Show that: 8 [J₁(bt) t" eat dt ed 0 2"b" I(n+-) 2 n+- 2 √√π (a² + b²) T

A: To prove the given integral identity, we will use the integral representation of the Bessel function…

Q: Q: Find the gcd (a, b) and find two integers x and y suchthat gcd(a, b) = ax + by. Ex.(i): a = 901…

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Q: Find S. (12z+ z²) dz, where C is the boundary of the rectangle with vertices at the points 1+ 2i, –…

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Q: Let F = Z, [x] (x³ + 3x + 2) and α=x+ (x+3x+. (x³+3x+2) €F. Find a³.

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Q: If f = 5xy2 - X³Y then find df at (1,1) dy %3D

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Q: Th nction f(2) = (2z3 + 8z) (z – 2i)(z + 5i)2 has a pole at z = -5i. :Select one True False

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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: The complementary function (C.F) for the (D² + 8²)y = 0 is O None O Yc = C,cos8x + C2sin16x O Yc =…

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Q: 5 Q#( 12 Compute: | In(x)dx 2 A) 5ln(5) – 2 In(2) – 3 B) 5ln(5) – 2 In(2)+3 C) 5ln(5) +2 ln(2) – 3…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = t²i+tºj 126 5 (81 +¹4+4)³ X to…

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Q: Let f(x) = x³ + x + 4 and g(x) = 2x + 3 in zg[x]. Then, upon dividing f(x) by g(x), we get The…

A: Given that,  fx=x3+x+4g(x)=2x+3 Are in Z5x

Q: et g(x) = 5(x + 6)°(x – 1)*(x + 7). Which of the following has the same end behavior as -(x)? - O…

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Q: The Fourier coefficients a, n21,of the periodic function n for -Sxr<0 1 f(x) = %3D are: 0 for 0sxST…

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Q: Let f (t) = t26 e-34t L{f(t)} te-4t cosh 10tFind

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Q: Let X be N(0, 1)and Y be N(0, 9) , with X and Y independent. Let Z 2X – 16Y, and let W = 3X3 + 4Y5…

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Q: Given P(x) = 5x+6y and R(x) = -11x +6xy - 5y², find P(x)– R(x). O A. -6x -6xy +11y O B. 16x -…

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Q: The position function of a spaceship is 4 t² + 1 and the coordinates of a space station are (8, 4,…

A: Solution :  To find the value of t  The captain wants the spaceship to coast into the space station.…

Q: Let f(x) 0 = c-8 Oc==3 Oc=2/20 Oc-4/ 11 2xc + 1 C + 3x 3 ▸ Determine the value of c so that x = 9 is…

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Q: 3 If p(x) = (x+1)" (x-1)° then -1 is a zero of multiplicity: Select one: а. 7 b. 1 с. 3 d. 4

A: To find The multiplicity of a zero -1.

Q: f: (4+3i)² – 9e²75 + 70(cos 180 + isin180) + A = { 10<36 7cis65 ¿3699 |3D į767 + ei79 – ¿90 + (8 +…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.