Q1: Find the First Numeric solution (Derivation )of the following equations, where x is [- 5:0.1:5], plot the two function (The original and the numeric function), Labels all axis: y = x3 y = cos(x) + 1

Q: Let f(x) = x² +1 € Z3[x] and let R= Z3[x]/I, where I = (f(x)). (a) Show that R is a field with 9 ele...

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Q: y''-3y+2y=5e^3x,y1=e^x

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Q: 2. Write an equation of a line that is parallel to y = 3x - 4 %3D

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Q: 2. For each ODE below, do the following: i. Give one value of k (from the given possibilities) for w...

A: Solution :-

Q: Pablem (4) (a) Show that if f fn } Conv. unif. S,, S2, ---, Sm, then fol unif I fal Conv. on dipove:...

A: Multipart:   (a) We know the definition of uniform convergence of a function, Let ,  fn : E → ℝ  we ...

Q: does not exist. (b) If u = x cos y+ye", where x=s+2r and y = st , prove that ди ди dt = (s – 21) (x²...

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Q: Let U be the subspace of R' spanned by {u1, u2, u3}, where иј 3 (1,1, 1, 1), из — (1,—1, 2, 2), из —...

A: Use the Gram-Schmidt algorithm.

Q: 2yı-y.cosx=-y3.cosx  solve differential equation

A: We need to solve a differential equation, 2y' - y cos x = -y3 cos x Divide both sides of differentia...

Q: What other degree of rotation (less than 360o) from the Start point will result in Jack being the sa...

A: Given: Let us assume that the wall is at front. Jack had a 75 degree rotation. Let us assume that he...

Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

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Q: Redmond Loviuthan Reck Falaise de Fleur Caribbean Sea Conceicao Isla Muefle Cuebradas Costillas Douw...

A: It is unclear what exactly is demanded from this question post. However, based on my understanding o...

Q: A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population cont...

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Q: if a family iP; Sierof sominorms on avectorspace X separates distinct points of x , show that the re...

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Q: Sec (Cosx) dydx 1- Sin

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Q: (-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b...

A: Z n

Q: A hole is drilled through the center of a sphere x² + y² + z? = R,², leaving a ring-shape solid. If ...

A: given sphere x2+y2+z2=R2s and a drill of cylinderical shape x2+y2=R2d use polar coordinate to formul...

Q: Consider the density curve plotted below: Density Curve 0.137 0.125 0.112 0.1 0.088 0.075 0.063 0.05...

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Q: aln(Vx) dx

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Q: 8. Give an exanmple of each of the following : (a) a set which is a nbd. of each of its points, (b) ...

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

Q: 1. Which of the following sets of vectors a = of R (n 2 3)? (ar, .. . , am) in R are subspaces (a) a...

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Q: The ratio of pears to green apples is 1:3 if there are 150 green apples how many pears are there

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Q: 7/2 TC sin 0 cos (cos a cosec 0) de /2-a (1-cos a). COS

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Q: Find the fourth iteration value of z using the Gauss-Seidel method with an initial guess of (1, 1, 3...

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Q: Activity 3 Illustrate Me If EC = BP,ES = BJ,CS = PJ then A ESC = A BJP. Draw the triangles and mark ...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: 1. Prove Theorem 2: Center is a subgroup of G. 2. Let H be a subgroup of a group G. Prove that the s...

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Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation ...

A: When a differential equation is written in the form of xndnydxn+xn-1dn-1ydxn-1+...+xdydx+y=fx The eq...

Q: Perform the indicated operation and simplify if possible. /2. 17 O A. V14 О в. 14 OC. V9 O D. V2

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Q: num 4

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Q: A . is a right angle, angle B IA) In triangle ABC, angk. measures 40°, and AC measures 19.tind the l...

A: Let us consider a right angle triangle ABC with right angle at B  Properties of right angle triangl...

Q: The area of a triangle can be calculated using the determinant of the matrix. From the image below: ...

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is eq...

A: We have to prove the identity 1+tan2x1+cot2x=tan2x. Use formula tanx=sinxcosx and cotx=cosxsinx Take...

Q: Suppose that the cost function C for a chemical lab to produce x liters sanitizer liquid per week is...

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Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance bet...

Q: Ferris wheel with radius of 30 ft and center that D(t) is 45 ft off the ground. 30 25 20 15 10 15 20...

A: Concept: Period from a graph is given by one complete cycle. For example:

Q: Use undetermined coefficients to find the particular solution to y"+ 5y' + 4y = - 500 sin(3t) Y(t) =

A: We have to find the particular solution of  y''+5y'+4y=-500sin(3t) by using the method of undetermin...

Q: 3. (p + r) v (9 → r) = (p a q)

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Consider the following fixed-point iteration algorithm ,41 From a graphical solution of z = g(z) you...

A: Given xi+1=gxi=xi+5xi+1  

Q: Determine if the graph shown below is Eulerian or Not * Eulerian   Not Eulerian

A: we have given a graph   G5 we have to show that weather the given graph is Eulerian or not Eulerian...

Q: Solve the system given in the previous problem using Crout's LU factorization method. 4x, + 5x, + 14...

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Q: 5. Use the Gaussian Elimanation (a) to write the following agumented matrix in the reduced row echol...

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Q: 2.x1 + 3x2 + x3 – 11x4+ 4x5 = 30 5x, – 2x2 + 5x'3 – 4x4 + x5 = 36 T1 – x2 + 3x3 - 3x4 + 5x5 == 23 - ...

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Q: If f(x,y) =log,(cos²(e* )+ sin(x + y) then f(x,y) is ây ôx A) – sin(x + y) B) 0 C) cos (x + y) cos(e...

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Q: 4. Consider the below data set: 65 87 x 75| 80 93 82 78 | 86 68 84 77 72 89 71 98 y 72 91 80 95 74 (...

A: Given: The data set: - x y 75 82 80 78 93 86 65 72 87 91 71 80 98 95 68 72 84 8...

Q: 3.17 Supposep<1, p # 0. Show that the function 1/p f(x) = ( i=1 with dom f = R+ is concave. This inc...

A: There are three important inequalities in functional analysis. These are Cauchy-Schwarz inequality, ...

Q: At a certain +ime of of the sun is 44° Find the length of the Shadow (on the ground) Cast by a build...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: Cool Down: What Did You Do to My Graph? Here is a graph of a function, ƒ, and graphs of two transfor...

A: Vertical Translation To move a graph up vertically by 2 unit, we adjust the yy value. Every point of...

Q: The monthly incomes of two persons are in the ratio 4 : 5 and their monthly expenditures are in the ...

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Q: (b) Let U, T be usual and cofinite topologies on se:t of real numbers R and f be a map from R into R...

A: As per our guidelines we are supposed to answer only first question. So i have solve  question (b) o...

Q: 10. Let - 2 1 0 A=| 0 4 3 1 (a) Find elementary matrices E3 E,E,A = I3 (6) Express A as a product of...

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Q: 1. a) Let x is n-vector and p and q are two constant n-vector. f(x) = ßx – q° - Ax – ql² is f(x) lin...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...