ay + 2y = 3 dx %3D dy + 4y = x³ - x dx dy .2

Q: 4. Determine whether the sets span R' for part a and R' for part b. If the set does not span R? for ...

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Q: 4. Evaluate the following integrals: a) (22x +5e-*)dx b) S(esecnx sec Tx tan x)dx -In 16 e*/4

A: # we are entitled to solve one question at a time  please resubmit the other questions if you wish t...

Q: 4. Consider a periodic function which takes the form f(t) = 3t on the interval -1 < t < 1 and has pe...

A: The particular solution for the differential equation is steady state.  

Q: Find: WxtWy sWxy Way,Wxx Wyy,Wz, Wzz WZx;WZy, Wyz, Wxz W= sinh (xy-Z)

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Q: Problem 7.4.7. (a) Prove that if lim,→∞ 8n = 8 and s N then sn M then r < sn.

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Q: 4. Consider a periodic function which takes the form f(t) = 3t on the interval -1 < t< 1 and has per...

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Q: 23. What is the truth value of the following quantifier where the domain is all integers? a) 20 only...

A: We have to find the truth value of quantifiers.

Q: It is desired to roof a piece of land that is limited by 2 streets that form an angle of 90 and that...

A: Given: A piece of land is limited by 2 streets that form an angle of 90° and on the other hand, is d...

Q: she will need?

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Q: a) Prove that (A∪B)c=Ac∩Bc. b) Prove thatA∪(B∩C) = (A∪B)∩(A∪C). c) Prove that ifA⊆B, thenA∩C⊆B∩C. ...

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Q: Let ơ, t E S6 such that 1 2 3 4 5 = аnd 6 4 35 12 Determine the following: (a) Cycle decomposition o...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Determine if b is a linear combination of a,, a,, and az. 6 a, = az = az b= -3 3 18 9 Choose the cor...

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Q: Consider the differential equation & : y"(t) – 10y' (t) + 25y(t) = 0. (i) Find the solution of the d...

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Q: ) Using Spherical Coordinates, find the volume of the solid G bounded above by the sphere x² + y² + ...

A: In this problem, we have to find the volume of the region bounded by the surfaces x2+y2+z2=25 and z=...

Q: 117. Discrete version of the Fundamental Theorem In this exercise, we work with a discrete problem a...

A: The definite integration is considered as the area of the region bounded by the curve and the interv...

Q: Find the general solution of the given second-order differential equation. y" + 6y' + 9y = 0 y(x) = ...

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Q: P=-11+10n-0.2n^2 I need to know how to graph p vs n. I've never learned to put a problem on a graph.

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Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R°→R2, T(e,) = (1,8), an...

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Q: Given two functions f and g. Suppose that f is defined by f(x) = 1 if x + -1 if x: I+1 -1 and g(x) =...

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Q: •* In (x) dx. 2x2 Evaluate (Express numbers in exact form. Use symbolic notation and fractions where...

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Q: du at u(0, t) = 0 = u(x, t) 300 u(r, 0): sen(2n + 1)r 2n +1 n=0

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Q: Find the general solution of the system whose augmented matrix is given below. 10 -5 0 -4 7 0 1 0 3 ...

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Q: New program: Objective function: Maximize Z = 2x, + x, + 3x, + Os, + Os, + Os, Subject to: X + X2 + ...

A: Here the new program is                 Objective function: Maximize Z=2x1+x2+3x3+0s1+0s2+0s3       ...

Q: Q2. Using the equivalence rules to prove the following. a) (pvq)A(-pVr)→(qvr)= T b) (p - q) v (p →1)...

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Q: Positive Undefined Zero Negative

A: There is no such introduction for the question.  I am solving it. please go through it.

Q: 1– x2 lim r--00 3 + 2x – x3

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Q: Find the fifth term of the geometric sequence. a= -9 r= 3 The fifth term of the geometric sequence i...

A: Solution 

Q: 7. When graphing an inequality, inequalities that are less than or greater than would have a If the ...

A: While graphing the inequality, inequalities that are less than or greater than would have a ...........

Q: The annual interest rate on credit card is 24.99%. How long will it take to pay off an unpaid balanc...

A: According to the guidelines I am answering only first question.

Q: The Indicated function y, (x) is a solution of the given differentlal equation. Use reduction of ord...

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Q: 2 – 4x lim x→2+ x –2

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Q: ya fix)

A: Since you have asked a question with multiple sub parts , we will solve the first three subparts for...

Q: opose 1 and -1 f the eigen valu V

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Q: 2, 0 1

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Q: Solve the system. X1 6x3 = 15 4x1 4x2 - 9x3 46 %3D 2x2 + 5x3 = -2 ... Select the correct choice belo...

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Q: 1 -6 - 16 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whet...

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Q: For z = e"v In(ry): - Find the gradient of z when r= and y = 2 - Find the directional derivative of ...

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Q: Q1. Find the truth value of the following proposition using truth table. Determine the type of the p...

A: We can solve these by using logic table

Q: Your friend deposits $5000 in an investment account that earns 6.3% annual interest. Find the balanc...

A: Here principal P = $5000 Rate of interest R = 6.3% Time t = 13 years Therefore  use the formula A=P1...

Q: 3X+ Y+7= 3 EX: 2 2X1 +2 X2 + 4X3-10X4 = 6 2X1+5X2- X3 -9X4 = -3 2X1 + X2-X3 +3X4 = -11 XI-3X2+ 2X3+7...

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Q: Q6) Use the rules of inference to show that the following hypothesis lead to the conclusion: m-k gVh...

A: We have to show that following hypothesis lead to the conclusion using Rules of Inference:

Q: Given that y1 = zi cos(z) and y2 = x¯i sin(z) form a fundamental set of solutions of z*y" + zy' + (z...

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Q: While shoveling this winter, Parker kept track of the hours he worked and the money he earned. Find ...

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Q: Solve the differential equation by variation of parameters. 4y" - y = ex/2 + 4 y(x) =

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Q: Q3

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

A: As given by the question There are given that the matrix: 4-812-12-3 To find the parametric vector f...

Q: of the following models: y = a (1 + r)', y = a (1 – r)', A Pert

A: If the interest is compounded continuously then A=Pert substitute the values A=Pert1000000=10000e0.0...

Q: Show that f„(x) = x" (1– x") converges pointwise V x € (-1,1]. Is f„(x) converges uniformly?

A: When a sequence includes a variable, it becomes sequence of function. A sequence of function can con...

Q: dy Consider the differential equation e¬y 1+ = 0 with the initial condition y (0) = 1. dx (i) Find t...

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Q: Let u = and v = 2 Let T : R? → R² be a linear transformation such that T(u) = and T(v)=

A: Linear transformation

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.