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Q: Find the equation in standard form of the hyperbola whose foci are F1(−4√2, 0) and F2(4√2, 0), such ...

A: The standard form of equation of hyperboles is  If foci is on x-axis then x2a2-y2b2=1 If foci is on...

Q: 4. Define two ordered bases 2 B = and C = 2 3 3 2 on R³. (i) Find PB-c. (Hint: Use your work from pr...

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Q: Write the given system as a matrix equation and then solve it.  Write the  inverse matrix as well as...

A: The given system of equations are:-3x-2y+z=-4-2x+y+3z=205x+2y-2z=-9The matrix form of the given syst...

Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be found...

Q: 67 Find the lowest order polynomial which approximates the function f(a)- (-x in the range 0 sxs1, w...

A: We will use basic knowledge of numerical analysis to answer this question.

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

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Q: Find the coefficient of the

A: Given,           (3-2x2)12

Q: +oo 19 In n n=1 Determine whether the sequence converges, and if so find its limit. NOTE: Enter exac...

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Q: Find the supremum and infimum of the set {r € R[10/T – 1 > 0}, if they exist. If they exist, provide...

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Q: 1 2 *) Let ū : and i Find a vector w not in span {u, i}. 10 || 13

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Q: (g) –3x +4x-8=0 (h) 3x² +8x+4= 0

A: g Given equation is −3x2+4x−8=0. We have to determine the number and nature if the roots by first ca...

Q: 2 7. y' +y = x; y(1) = 0

A: 7) y'+2xy=x;  y1=0 compare with y'+py=q we get p=2x , q=x find the integrating factor I.F=e∫2xdx    ...

Q: Find the remainder when 6x3 – 10x + 1 is divided by a) x – 2 b) x + 3 c) 2x – 1 please assist with ...

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Q: Which of the following is the probability distribution of a discreet random variable A: Sum of two n...

A: The probability distribution of a discrete random variable X is a listing of each possible value x t...

Q: 2. Design the Hasse diagram of {(a, b) (a? < b} on S = {2, 4, 8, 16, 32, 64, 128, 256}

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Q: Evaluate Cos x dd Cesx if xco Sinx f xzO If answer s with T write the wond "pil Gie. 10i= 1opi)

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Q: A prism with a height of 5 cm is inscribed in a cylinder. If the base of the prism is in the form a ...

A: The volume of a cylinder is given as follows: Volume of cylinder=πr2h

Q: FIND : X³ + 8i

A: Introduction: The formula for subtraction of cube of two numbers is given by, a3-b3=(a-b)(a2+b2+ab)

Q: 6.5 Solve the following problem du (z > 0, t>0), %3D u(0,t) = 0 (t > 0), u(z,0) = f(z) (z > 0).

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Q: If the sample space is C = C1UC2 and if P(C1) 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2). %D

A: Given Sample space = C = C1∪C2  P(C1) = 0.62P(C2) = 0.55

Q: e slope

A: Introduction: The formula for the slope of the line passing from two points x1,y1 and (x2,y2) is giv...

Q: The graphs of f (z) and g (z) are shown 30

A: Introduction: The maxima and minima of a function are the function's largest and smallest values, re...

Q: [0 1 01 [1 1 0] = 0 1 li 1 MR, = |1 0 1and MR, Lo 1 ol Find the matrix representation of R2 • R1.

A: R1 =010101010 and R2 = 110010110R1∘R2 = ?  

Q: uation for the rea

A: It is known that any complex number is of the form z=x+iy where xx is the real part and iy is the im...

Q: Question No. II Show that the column vectors of following matrix A are linearly independent: [1 0 07...

A: Introduction: When a set of vectors v1,v2,...,vn is given, the vectors are linearly independent if f...

Q: se limit is a "dx" integral

A: Given as,

Q: Expand the function using Maclurin series expansion. f (x) 2 arctan y

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Q: Section I: EXPRESSIONS AND EQUATIONS 1. a. Evaluate 25.2-3

A: evaluate the expressions 1) a) 25·2-3 it is known that  xa·xb=xa+b using the above property  25·2-3=...

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

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Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the ...

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Q: Rotate 180° about the origin G' T' B' Vertex Pre-Image Image G (-3, -1) G T (-1, -1) (-3, -5) B.

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. The rotation r...

Q: @ f=ytanh(x)

A: Please upload questions with multiple subparts separately.

Q: Advanced Math Question

A: Let us consider the power series ∑n=0∞an Determine L=limn→∞an+1an According to the Ratio test If L&...

Q: dy 4. y = e*y? dx

A: Solution 4: Given differential equation is dydx-y=exy2 We can write it as 1y2dydx-1y=ex         (1)

Q: Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) =...

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Q: Find y as a function of t if y" + y' – 2y = 0, y(0) = 8, y(1) = 8. y(t) = Remark: The initial condit...

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Q: Find y as a function of t if 5184y" – 1584y + 121y = 0, - y(0) = 6, y'(0) = 3. y =

A: Intial value problem, homogeneous differential equations

Q: 4 -10 -8 -6 -2 12 4 6. 10 -2 -4 -6 -8 -10 8. 8 2.

A: Concept: From the given graph we shall determine the place of intersection. The coordinates of the i...

Q: Expand the function

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Q: [0, 1]. Prove that x e C iffx has a ternary expansion with a, e {0,2} for 1. Let I be the interval [...

A: The complete solutions are given below

Q: per is approximately nd had a stack of 24 5.349 5.349 3.15

A: The unitary method is a method to solve a problem by finding the value of a single unit, and then fi...

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = v(9- [(x-1)] ^2) abo...

A: Solution

Q: 2. W =I+xy- Z finds Wzz WZX NJ 3.

A: Given W = 1 + xy2 - z2

Q: O Evaluate 10

A: see the attachments below

Q: V = \ + 855-t Prove that act) = 32

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Q: Let the universal set U = {x | x is a non-negative integer}. Let A = {x EU | x is divisible by 6}, B...

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Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

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Q: Let:  z1 = 1 – j3  ;  z2 = -2 + j5  ;  z3 = -3 – j4  ;  z4 = 1 + j6 Determine & create Argand diagr...

A: The given problem is to evaluate the given complex expressions from given complex values and create ...

Q: Evaluate: 2

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Q: Directions: Solve the derivatives of the given functions, Encirele the correct anawer. You can also ...

A: According to our guidelines we can answer only three sub-parts and rest can be reposted. 

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.