Given 급 (1+ 블" -를 -용), dy * = k). What is the value of k such that y is perpendicular to the curve 3x +1 at x = 1 O 50/9 O 80/9 O-20 O-70/3

Q: In a public key cryptosystem using RSA algorithm, a user ases two prime numbers 11 and 17. He…

A: Solution :      Here, n= product of two primes                 = 11x17                 = 187    Now,…

Q: 0.35 f. dr r2 2.

A: Here f(x) = 2x2 - 4 The value of table for x and y x 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 y -0.5…

Q: 3. Find the Taylor series expansion of sinhx about x=0 and its interval of convergence. Then find…

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Q: Q7. Solve the Cauchy-Euler equation (i) 4.x²y" + 4.xy' – y = 0. (ii) 4x²y" + y = 0.

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Q: 7. Leon is a rock climbing enthusiast, and is considering getting a membership at a new rock…

A: We will find cost function for both cases and compare between them by using graph

Q: Evaluate [[. (y+210 – = )aS, where S is the surface cut from the paraboloid y² +4z = 36 by the…

A: Surface integral of a function f(x,y,z) on a surface S given by z=g(x,y) ∫∫Sf(x,y,z)dS = ∫∫Df(x,y,…

Q: Evaluate the determinant A by any method, |1 3 6 2 1 0 2 |0 A = |3 2 3 0 2 9 5 1 0 10 0 8 6 0 1 2

A: Consider , A = 1310206223302951010086012 We need to find determinant of A. For that we will use ,…

Q: Find the domain of f and the intercepts of the graph of f.

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Q: What is the time complexity of the following function: f(n) = 100 - n O o(n?) O O(nlogn) O O(n) O…

A: Here it's given f(n)=100-n which is a linear function.

Q: Using the method of separation of variables, find the solution of V²u(r,0) = 0 0 < a<r, 0 < 0 < 2ñ,…

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Q: Find the unit vectors that are perpendicular to U = and V =,

A: Given the vectors U→=2, 3, 4 and  V→=-1, 3, -5 We will find the unit vectors that are perpendicular…

Q: The linear combination of a given set of solutions is in the form below: Ci + C2 cos² + C3 sin? x…

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Q: 5. Identify and sketch the graph of the following equations in R³. (a) x2 + 4y² + 2² – 8x + 16y – 2z…

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Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: 2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 2 + m] [k k 9. [1+m -3…

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Q: Find the approximate value of + 1) d: using Trapezoidal Rule. Trapezoidal Rules a. Single…

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Q: Solue the Follbwing System of equations using Goussian Eliomination: t 2y - 62 - + 7y + 4y -3X - 52…

A: Given Equations: -3x+2y-6z=65x+7y-5z=6x+4y-2z=8 To Find: Values of x, y and z using Gaussian…

Q: Mary bought her cosmetic products during a sale (20% off) at a well known supermarket. She Paid 516…

A: here we can use simple profit loss calculations.

Q: 1 Let F and G be two inner products on a vector space V over the real field R. If F(u, u) = G(u, u)…

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Q: Find the distance between the skew lines: x = 8+6t, y = 5+ 9t, z = 7 – 5t y = 9, I = 6 – t, z = 2+…

A: Given, x=8+6t, y=5+9t, z=7-5tx=6-t, y=9, z=2+4t To find: Distance between the two given skew lines

Q: Determine the dot product a) Ā = and B = b) Á = and B c) Á = 5, ||B = 32 and the angle between the…

A: (a) Given that A→=&lt;9,4,-5&gt; and B→=&lt;3,-2,7&gt;

Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r - 1) + 2" – r %3D has a critical number…

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Q: We want to determine if the sequence n 4+6n is monotonic. Using the difference test we get that sn+1…

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Q: Given: In(1+x) = (-1)" -2n+1 _if ]æ| < 1. n + 1 n=0 1. Find the Maclaurin series for f(x) = x ln…

A: Given, ln1+x=∑n=0∞-1nn+1xn+1  , x&lt;1 To find: Maclaurin series for f(x)=x ln1+x2 As per the policy…

Q: Consider S to be the universal set. Let X = (AUB) nC and Y = (AnT)U (An B). %3D Write out the…

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Q: (b) For the following Homogencous Lincar System of DE, what are the eigen values, corresponding…

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Q: Given: In(1+ x) =5-1)" Σ if |a < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: Consider the quotient ring Q[x]/ (a) Give an example of a zero divisor in this ring. Give the…

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Q: GENERAL MATHEMATICS Identify the domain and range of the following logarithmic functions. y=log…

A: Given function is y=log6x-1-5

Q: Solve the sifferential equation using tftce Laplace transforms- y-3y'+2y=1-4X+2X y(0)=4,y(0)= 5-

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Q: x² sin æ+2x(2+cos a) cos 2 The derivative of f is f'(x) = graph of the function g defined by g(x) =…

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Q: 1. Given: x(r+8)(r – 2) (r+ 2)3 8(7r- 4) (x+2)4 -4r2 f(r) = with f'(x) = and f"(x) = %3D %3D (r+2)2…

A: Domain of function are set/s of values of x for which function will be real and defined  For…

Q: Find the distance between the skew lines: x = 9 + 6t, Y = 5+ 6t, z =7–6t x = 7 – t, - y = 7, z = 6 +…

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: Given, V=13b2hb1=b2=6cmh=9 cm

Q: Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four…

A: Concept: Here we shall use permutation. From total of 15 diffrent styles of jacket, we have to pick…

Q: 3. Obtain the Power Series solution of the differential equation: y"+x²y =0.

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Q: a subspace of V? Assume that V has the standard operations. W is the set of all functions that are…

A: Subspace of a vector space

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: 3. ト Find the quotient of A if A = and B- 2.

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Q: -4 Find the general solution to the second order system x' " х+ -5 cos(2t). 2

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Q: 4- Determining Whether a 3 x 3 Matrix A is Orthogonal or not. - A = 2 -1 2 2

A: This is a problem of linear transformation.

Q: Solve the differential equation with appropriate method, Finalize answer equated to y. dy/dx =…

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Q: Solve: y/" – 4y" + 53y = 0 O y = C1 + C2e cos2x + C3e-7* sin2x 7x O y = C1 + C2e cos2x + C3 e7"…

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Q: X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 : 2 12x1 + 3x2 – 5x3 with x", x", x"| = [1, 2, 3] until…

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Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

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Q: 4. Show that =N} which is subset of R is not compact by describing an open cover for n it that has…

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

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Q: f(x) = e2* if x> 0 Q5. The Fourier transform of the function: 0 if x<0]

A: We have given a function ,  fx = e-2x , x &gt; 00        ,x &lt; 0 We need to find Fourier transform…

Q: f (x) = e2* if x> 0 The Fourier transform of the function: 0if x<0

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