State whether each of the following random variables is discrete or continuous 1. The number of defective tires on a car 2. The body temperature of a hospital patient 3. The number of pages in a book 4. The number of draws (with replacement) from a deck of cards until a heart is selected 5. The lifetime of a lightbulb

Q: Find a basis for the following subset of P2: { p(t): p'(1) = p(2) }

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Q: are in A.P., b, c, d are in G.P. and at a, c, e are in G.P. -10 - e

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Q: Let S = {−9t²+2t −7, mt-45t²-35} be a set of 2 polynomials in P, 2° Choose m such that the set S is…

A: The given set S=-9t2+2t-7, mt-45t2-35 of P2. We have to find the value of m such that S is linearly…

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Q: If A and B are square matrices of the same order such that B"A. Further, AB = BA, then prove by…

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Q: Des there exist a geometric progression containing it exists, how many such progressions are possi e…

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Q: (D² − 1)y=e*(x² + 1)

A: THE HOMOGENOUS EQUATION IS , D2-1y=0 SO, THE AUXILLARY EQUATION IS, D2-1=0⇒D=1,-1 THE HOMOGENOUS…

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Q: (a) Prove that any odd number greater than one can be expressed as the difference of the squares of…

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Q: Can you use the method of partial fractions

A: We have  ∫180-x60-xdx=k∫dt We have to solve using partial fraction. Let 180-x60-x=A80-x+B60-x

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Q: Let W be the subspace o Question P3 spanned by S = √³+1²-2t+1.21² +2.1³-2t. 21³ +3

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Q: Show that the solution of the equation √√aß [1]-[*√² X Z -B #ναβ y [ ] = 0 is t where a, ß are…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Problem 8 Determine the linearization of f(x)=√1 + 3x at a=0.…

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Q: 2. Show that 27 |(5²2-4).

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Q: Answer the following questions about the equation 1 4x³ − y² + ²⁄yz² − x(y − x)e² +1=0. (1) Does the…

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Q: Find the matrix A of the quadratic form associated with the equation. 6x² - 4xy + 6y² + 16z² - 23 =…

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Q: [21] (i) without finding B¹, the value of K for which KA-2B¹ + 1 = 0. (ii) without finding A¹, the…

A: Let A,B are n×n invertible matrices  and I is an n×n identity matrix. Then A.A-1=A-1A=I  I.A=A.I=A…

Q: 5

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Q: 4.6.11. Prove the following identities. n+2 2n (a) n i=1 =2- (for n ≥ 1).

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Q: (c) Find a power series representation for fx arctan(x) dx. You can use the sigma notation or the…

A: Here we use series for arctan x. Also in the last question we use Taylor error approximation.

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Q: 7. Given three points in the plane A, B and C and distances from each of these points to a 4th point…

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Q: A raffle is going to be held in which the winner will get $200. If 1000 tickets are to be sold, what…

A: Given, In a raffle, winner will get $200.    We have to find the fair price for a ticket if 1000…

Q: a) Find the Fourier series of the following function. 1 x² if π < x < 0 if 0 < x < T 0175 Show…

A: Given: fx=1if -π&lt;x&lt;0x2if 0≤x&lt;π We have to find the Fourier series of the given function.…

Q: Find and classify the critical points of z(x, y) = x³ + 5x² + 5x + y² - 2xy.

A: Given: z=fx, y=x3+5x2+5x+y2-2xy To find: Critical points and classify them.

Q: Question 1) The dimension of the subspace of P3 consisting of all vectors of the form at³ +bt² + ct…

A: (1) Given: at3+bt2+ct+d, b=2a-5d, c=d+4a ∴abcd=a2a-5d4a+dd            =a1240+d0-511 Therefore the…

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Q: Problem. Find a solution y(t) for the initial value problem such that L{y}(s) 5→∞ 0. 2y" + ty - 2y =…

A: Given,           2y''+ty-2y=10, y(0)=y'(0)=0.

Q: en y = 4x and y = x + 3, describe the region for Type I and Type II.

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Q: Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of…

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Q: Let → F = . Use Stokes' Theorem to evaluate SSS curl → F.d S, where S is the hemisphere x^2 + y^2 +…

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Q: ind the equations of the bisectors of the angles between e planes 2x −3+2+3-0 und 3x - 2y +62 +8-0…

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Q: Determine whether S = {1-1,2t +31², 1²-21³,2+1³} is a basis for P3.

A: DEFINITION OF A BASIS-: A SET OF VECTORS v1,v2,v3,.......vn IS SAAD TO BE BASIS FOR A VECTOR SPACE V…

Q: 4. Solve the recurrence relation an = 5an-1-6an-2 (n> 1) subject to the initial conditions ao = 1,…

A: Given recurrence relation an=5an-1-6an-2 subject to  a0=1a1=1

Q: B (60, 100, -30) mm

A: Solution

Q: Given the vectors (1 10), (0 2 3), (1 2 3) in R3. Given vectors are linearly independent. Select…

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Q: Find the gradient vector field (F(x, y, z)) of ƒ(x, y, z) = x²y³ z³ . F(x, y, z) =

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Q: Suppose a curve passes through the points (0,-4), (0.6,-3.64) and (1,-3). Find the polynomial which…

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