1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,. Justify your answer. -

Q: Find the sloution of the given DE dy Y – x y(0) = 1, h = 0.1 at x = 0.5 %3D dx y + x Yexact = ? (fin...

A: The differential equation is dydx=y-xy+x We put y=vx Then, dydx=v+xdvdx

Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent? (en...

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Q: Given the difference equation y[n]+2y[n-1]+y[n¬2] = 2x[n]–x[n=1] with initial conditions y[-1] = 3, ...

A: Introduction: The unit step function is expressed as un=0, n<0=1, n≥0 This function is very much ...

Q: Directions: Find the derivatives of each of the following. 1. y = sin-'(4x²) 2. h'(x)if h(x) = e*sin...

A: We have to find the derivatives of the given real-valued functions y and hx with respect to the vari...

Q: Use the recursive definition of summation, the triangle inequality, the definition of absolute value...

A: To Show 

Q: Question 1 Eliminate the constants of the equation below: y = Cex + C2xex A y" - 2y' +y = 0 B y"-y'+...

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Q: Find the interval of convergence of the following series: x5 x7 5 +.. 7 all values of x O -2<xs2 O -...

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Q: O: Are the following, grapt o Cn 2) Wn 3 Kn 4) Knin O Pn O Petursen giaph

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Q: When the median is computed for a sample, all values in the data set are * .used True O False O

A: Answer  - True

Q: 5. Show whether whether the set of vectors in R*is linearly independent.Justify your answer. (0,0, 2...

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Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

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Q: Solve the using Polya’s four-step problem-solving strategies. Make the necessary conclusion or conje...

A: Introduction: Polya’s four-step problem-solving strategies is very significant in solving a mathemat...

Q: Three forces are acting on an object as shown (picture may not be to scale). Resolve each vector int...

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Q: Non

A: (1) Given,             limx→π2-(tanx)cosx

Q: 2y)j + x the point

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Q: Given U = 8 and the bearing of the vector is N60°W, find the EXACT components of the vector U. Give ...

A: Introduction: If a vector makes an angle with the positive x-axis, then, it can be decomposed into i...

Q: If possible, use at least three strategies to solve each of the following problems. At least two of ...

A: Observe the number of toothpicks in each case.

Q: Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = 3x-20x...

A: We will use synthetic division and remainder theorem to answer the given question.

Q: Each of 8 students reported the number of movies they saw in the past year. This is what they report...

A: Mean: Mean is the average of the given sample data. x=sum of all valuesTotal number of values Answer...

Q: z = f( a, b, d, c), write the exact differential of the dependent variable

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Q: Simplify the equation us

A: In this question, the concept of boolean algebra is applied. Boolean Algebra A boolean expression is...

Q: Compute the dissimilarity matrix for the following objects name sex colour character Bella F red tam...

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Q: 13. Use diagonalization to compute A2n+1, where n a positive integer. 1 A =

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Q: [ Question 1] The function f(t) is defined as f(t) = {," le-2t t>0 otherwise Compute the 1-norm, 2-n...

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Q: 3 sin? dx csc? x tan? x dx

A: Some of the properties of the integration  ∫sinx dx=-cosx+C ∫cosec2x dx=-cotx+C ∫sec2xdx=tanx+C

Q: In the Malthusian model, population grows exponentially while food production grows linearly. For th...

A: It is given that, Current population is 889 Growth rate is 7% Population at subsistence level is 112...

Q: Consider the recurrence relation a, = 3a,-1- 2a,-2 with first two terms ao = 5 and a = 7. (a) Write ...

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Q: Assume the domain of each of the vector fields pictured is R. Which, if any, of the vector fields ar...

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Q: 9. Let V be the set of all ordered pairs of real numbers, and consider the following addition and sc...

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Q: 1. Find all local maximum point, local minimum point, and the inflection the curve y =x* -8x +6

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

A: First, we have to make a table for each inequality and then plot the points from the table on the gr...

Q: Given |P 3 and the bearing of the vector is S60°W, find the EXACT components of the vector P. Give E...

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Q: None

A: Given,             R=(1; 2); (1; 6); (2; 4); (3; 4); (3; 8)S=(2; u); (4; s); (4; t); (6; t); (8; u)

Q: the mode?

A: Mode:- A number that occurs most often is called mode.   Given data set is Data set= A, B, A, B, C, ...

Q: x) - 0.5 cos(x)) on the

A: Given as, f(x)=e-x3.2sinx-0.5cosx in the interval [3, 4].

Q: The board game Dominion is a card-drafting game where the player with the most victory points wins. ...

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Q: (Steepest descent and CG) Consider the following linear system, (6 )()-0 1 0 2 x2 ke the initial gue...

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Q: Express (3-5i)(1+i)/4+2i in the form of a+ib.

A: Let  Z = a + ib

Q: (i) Show that the solution of the logistic equation dr az – br dt (3) is given by 1(t) a – br(t) r(0...

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Q: Possible and Impossible Series Consider a series 4This series either exnverges or diverges. • Likewi...

A: We shall answer first three subparts only as you have asked more, for others kindly post again by me...

Q: Find the differential equation of the given general solution by eliminating the arbitrary constant. ...

A: 1. we have given the general solution of a differential equation y = c1x2+c2e-x.....(1) we have to f...

Q: Suppose that A and B are two events for which P(A) = 0.29, P(B) = 0.74, and P(B|A) = 0.42 Find each ...

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Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: \ Find e* sin(x) dx

A: In this question, the concept of Integration is applied. Integration Integration is a method of brin...

Q: dr kr(M- x)-h (5) models a fish population which is growing according to the logistic law, and harve...

A: The complete solutions are given below

Q: A person starts walking from home and walks: 5 miles East 7 miles Southeast 6 miles South 2 miles So...

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Q: Find the solution of the following second order differential equation d²y(x) dy + x +x2 y(x) = 0 dx2...

A: Given: The second order differential equation, x2d2ydx2+xdydx+x2y=0, where y=yx   To determine: The ...

Q: 10. Solve the initial value problem dy dy +8 -9y 0 y(1) = 1, y'(1) = 0. %3D dt2 dt

A: We have given initial value problem, d2ydt2 + 8dydt - 9y =0 It's Auxiliary equation is given by, m2 ...

Q: Cansider X= {1,2,., 1a0) tagether with the longest 6-algebra PX), (pouwer set of x). Define Mcors =c...

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Q: 10sinx -0.1x Find all the roots of f (x) = using Newton-Raphson method.

A:   Given the function fx=10sinxx-0.1x We will find all the roots of fx using the Newton-Raphson metho...