What is the stem-and-leaf plot for the data set? Name Stanley Ben Prusiner Torsten Nils Wiesel Richard Axel 58 Robert Coleman Richards 59 James Alexander Mirrlees 60 Age 55 57 Name Age Robert Merton Solow 63 Stanley Cohen 64 Peter Mansfield 70 Vernon Lomax Smith 75 Richard Fred Heck 79

Q: the sum of

A: Part (a)

Q: Question 40 Let S be the sequence defined by Sn = 3n+ 1, for n > 0 Evaluate: Σ²2S; = 2=0 3 II_2 S₁ =…

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Q: Problem Solving Activity DIRECTIONS: Given the following I.Q. scores of 50 students to a company,…

A: The IQ scores of 50 students of a company are given by 100, 99, 106, 86, 104, 113, 103, 98, 105, 95,…

Q: U Question 21 A Directed Cyclic Graph on n vertices is a graph where every vertex has exactly one…

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Q: and C. Show that the locus of the p C parallel to the coordinate planes is

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Q: Date Page Dame fourth order runge - Kutta method, compute y (1-5) e differen

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Q: Use linear, quadratic and cubic interpolation to estimate sin 0.337 from the following table 0.32…

A: Here y=fx=sinx. To use linear, quadratic and cubic interpolation to estimate sin 0.337 from the…

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: We are given the function ft=1t+sint. Our aim is to check whether the given integral converges or…

Q: the following problems. integrals: Provide clear, neat, and complete solutions/proofs for Let C be…

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Q: 4. Suppose A is the same matrix as the previous problem. (1) Compute ATA, and all eigenvalues and…

A: As per the question we are given a 3×4 matrix A and we have to find : ATA then find its eigenvalues…

Q: Prove in details 81 न्डै ४ (-1) ren 2+3

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Q: Find the differential equation such that y(x) = (x − 1) [c sin(ln(x+1))+c cos (In(x+1))] Od²y +2 dx²…

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Q: 11. Let F: R² R² be defined by F(1,0) = (2,4) and F(0, 1) = (5,8). Find → the matrix A representing…

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Q: (a) Mr. Salman record the time taken of 100m running for Ali, Abu and Amin. The recorded time for…

A: (a) The average time is 13.3s Mr. Salman wrongly record the time for Ali from 13.5 s to 15.3 s Note:…

Q: y = x² = x + e-x(x + co

A: Given ode solution y=x2-x+e-xx+cosx

Q: Find the sum to infinity of the series 1 − 3x + 5x² − 7x³ + .... ∞

A: (a)

Q: We consider the following integral with its exact value: 1 = [x²³ dx = [ 1 e ²³ - ²³ - ²³ (2²x -…

A: Given: Integral, I=∫04xe2x dxTo find: The integral value using composite trapezoidal formula.

Q: Solve the l.p.p. by graphical method. Maximise Z = 3a + 2b S.T. 1a + 1b ≤ 4 1a 1b ≤ 2 and both a and…

A: The given problem is to solve the given linear programming problem by using the graphical method.

Q: 2. Using the letters: A, B, C, D, E, F, in how many ways can you make a security code with 3 letters…

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Q: Given the following table X fi 2.3 6.127 2.5 6.3 Estimate the value of f(2.78) by using P.. 3.0…

A: Given:  The value of table x and fi x 2.3 2.5 3.0 3.5 3.8 fi=y 6.127 6.3 6.694 7.047 7.243…

Q: Show by contrapositive that (3n+2) is even →n is even

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Q: Find a basis for the subspace of R3 spanned by S. S = {(1, 2, 5), (-1, 3, 5), (2, 3, 1)} A

A: The given problem is to find the basis of the subspace of R3 spanned by S of given vectors.

Q: Question 7. Shandy is a popular drink for young people in England. It is a mixture of beer and…

A: The owner likes to serve the mixture with 60% lemonade and 40% beer The bartender mixes 4 pints of…

Q: 6) Evaluate the definite integral. I slux dx ; wth degree=7 x Hiust! Senx = 2 (-i) x²utl n=o (2n+1)!…

A: We are given the function fx=sinxx. Our aim is to find the definite integral of the function from 0…

Q: If a , b , c be in GP and log_c(a), Log_b(c) and Log_a(b) be in      AP , the find the common…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Example 6.16. Compute y(0.1), using second order Runge- Kutta method where y is given by =t-y, y(0)…

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Q: Discrete math.  Let S = R. On S we define the relation R as follows (∀x)(∀y)(xRy ⇔ y ≥ x + 3). Is R…

A: The given set S=ℝ. The relation R defined in the set S is ∀x∀yxRy⇔y≥x+3. We have to check whether…

Q: Theorem 6.3. Let a be a real algebraic number of degree n C= = c(a) >0 such that

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Q: x=t(e²² + 4) y=x−x+e*(x+cosx)

A: Given That : x=te2t+4y=x2-x+e-xx+cosx To Find the differential equation using the given example.

Q: 5. Let P2(C) be the vector space of polynomials of degree less than or equal to 2 over C. Let C3 be…

A: 5) Let P2ℂ be the vector space of all polynomials of degree less than or equal to 2 over ℂ. and ℂ3…

Q: Let A be a nonsingular 2 × 2 matrix with singularvalue decomposition A = USVT and singular valuess1…

A: Given That :  A be a nonsingular 2×2 matrix with singular value decomposition A=USVT and singular…

Q: Show that a set A in ℝ2 is open in the Euclidean metric ⇔ it is open in the max metric

A: Solution

Q: y=x −x+e-*(x+cosx)

A: The differential equation is defined as the equation which contains the derivative, dependent…

Q: On what domain, and range is the function y = 2x + 1 both one to one and onto? (i.e. bijective)?

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Q: Let f : X → Y and g : X → Z be two bijective functions. Is the function h: X → Y × Z defined by h(x)…

A: f:X→Y and  g:Y→Z be two bijective functions. then To Check: Whether the function h:X→Y×Z defined as,…

Q: 2. Let C be the semicircle z = 2e where 0 ≤ 0 ≤ T. Show that < C -dz ≤ z² +1 2π√/2 3

A: Given: z=2eiθ , 0≤θ≤π To show: ∫Czz2+1≤2π23

Q: Find the center of mass of the cone, assuming that its density at any point is proportional to the…

A: Given: The height of a cone is h The radius of cone is r0. To find: The center of mass of the cone.

Q: Find all Pythagorean primitive triples such that one component is equal to 80.

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Q: the first of A between the same numbers. Prove that harmonic mean fue

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Q: 7. Use Stokes Theorem to calculate the circulation of the vector field F =(2²+z)i + + y² + ² = 1…

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Q: pairwise co-prime if each of the con

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Q: x=t(e²¹

A: We have x=te2t+4

Q: Let M be the unit sphere in R³ centered at the origin and y be a circle of latitude = Along y…

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Q: Convert the following base ten number to a number in the indicated base. 531 to base 8 -31-8

A: We convert the given number in to base 8 .

Q: The price of products may increase due to inflation and decrease due to depreciation. Derek is…

A: Given Data: Let us consider the given price of products may increase due to inflation and decrease…

Q: Sandeep borrows $20,000 for a new car. The bank offers him an annual interest rate of 9% compounded…

A: Given that the borrows amount PV= $ 20,000 Interest rate  r=9%=9100=0.09compounded monthly…

Q: Prove that the Fourier series of the function f(x)=x2 converges uniformly to f(x) on the interval…

A: We are given the function f(x) = x2 .  Our aim is to show that the Fourier series of function f(x)…

Q: Example 6.16. Compute y(0.1), using second order Runge- utta method where y is given by =t-y, y(0) =…

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Q: d³y dx3 +2 2d²y/ Find the particular solution: = = 0 when x = 0, y = −3, y' = 0, y" = 12

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Q: armonic meang and 3 alferma are alternatively, înserted be them t prove

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