Let B be a random number chosen from the interval (-10, 10). Find the probability that the quadratic equation 3x2 - Bx + 3 = 0 has two distinct real roots.

Q: Let f and g be functions which are differentiable on R. For each of the following statements,…

A: (a) The given statement is: "If f'x=g'x for all x, then f0=g0" The statement is false. Take the…

Q: Let D be the portion of z = 2x + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

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Q: A payment of $13,675 is due in 2 year, $16,500 is due in 5 years, and $8,200 is due in F years. What…

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Q: 4. Read this problem carefully. Row reduce the matrix to reduced echelon form. Circle the pivot…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Problem non Find y as fi ofa y" _7y"_y² + 7y=0; y(0) = 7; 9²601 = 1; 9²4(0)=7 уск TV = entory Xey…

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Q: 31-32. The limit below represents the derivative of some function f(x) at some number a limh- ->0…

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Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

Q: Find the angle ? between the vectors in radians and in degrees. u = 5i + 4j + k v = 4i − 5j

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Q: Use energy method to show that the following PDE p(x)un - [k(x)uz q(a)u, 0 0, u(0, x) = u(0,r) = 0,…

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Q: Given: A= i-2j-3k B= 2i+j-k C=i+3j-2k Evaluate: a.) A. (B x C) b) (A x B). C c) Ii(AxB)xC||…

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Q: answer letter b Note: y(pi/2)=y'(pi/2)=y''(pi/2)=0

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Q: A field of characteristic p *0 such that each element of the field is the ph power of some member of…

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Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: 8) Find the Laurent series of f(z) = TO NIH + + b) c) d) NOTA + + №w + + 1 (2-1)(z-2) I 79 if 1 <…

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Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: There is considerable evidence to support the theory that for some species there is a minimum…

A: Given- There is considerable evidence to support the theory that for some species there is minimum…

Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Consider the surface S shown on the graph, whose parameterization is given by: r(u, v) = (v², uv,…

A: Given- Consider the surface S shown on the graph, whose parameterization is given by:  ru, v = v2,…

Q: Acme Annuities recently offered an annuity that pays 5.4% compounded monthly. What equal monthly…

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Q: (14). Obtain using Jacob's method, all the eigen values and eigen vectors of the following matrices:…

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Q: 1 A=-1 -1 1 1 1 det A =

A: The following steps are used to obtain the solution. Enter the matrix A at the MATLAB prompt ≫. Use…

Q: 1. Compute u + v and u-2v where u = 2 -5 and v= 1 2

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: , and Zone 3 covers those over

A: Given: People of zone 1 covered within 3 miles People of zone 2 covered between 3 and 7 milesPeople…

Q: Differential equation of a family of curves. In each of the following problems, obtain the…

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

Q: Explain two different observations about the graph of y=cosx that prove its derivative is y= -sinx.…

A: Explain two observation about the graph of y=cos x and the graph of y=-sin x to prove that the…

Q: C:1: Solve the following I.V.P. using Laplace transformation: y" - 2y - 5y = 5t-100 such that: y…

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Q: Evaluate: (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D) show complete solutions

A: We have to evaluate  (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D)

Q: Create a cartesian equation of a line in R using the digits (6,-5,-4). o Find a NEW cartesian…

A: As per the question first we have to construct a cartesian equation of line in R2 using the digits…

Q: 1. The cancellation law holds in a. any ring b. a commutative ring c. an integral domain ring

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Q: An open box with a volume of 128 cm3 can be made by cutting a square of the same size from each…

A: Square: A closed and two dimensional shape with four equal sides is called a square. Each angle of…

Q: 5. y=x³, x = 0, y = 8; about X = 2

A: The region is

Q: 10 0 01 det D = 64 2 4 15 5 21 03 01 det E-46 60 7 5 21

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Q: 3- The interval (0,1) in (R, T;) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d-…

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Q: 2n Using the expansion of (1 + x)² and given that 2nC₁ + 2(²nC₂) + 3(2n C3) + ... + 2n(2nC₂n) +…

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Q: Consider the following. u = ,    v = (a) Find the projection of u onto v. (b) Find the vector…

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

Q: Q/ For the following signal, replote the signal with the following conditions. X(t)= { 5²-3 t) 1 2…

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Q: Consider the following ODE y' = y+t/y+1 Which kind of ODE is ?

A: Given ODE is y'=y+ty+1. Simplify y'=y+ty+1. ⇒dydt=y+ty+1⇒y+1dydt=y+t⇒y+1dydt−y=t..........1 Since,…

Q: 3. Let f [2,3] → {1,3} be a continuous function such that the equation f(x) - x = 0 has a solution a…

A: 3 Give that f:2,3→1,3 be a continuous function such that the equation fx-x=0 has a solution x in…

Q: Find the following. u = v =   a) || u || b) || v || c) || u+v || d) || u/ ||u|| || e) || v /…

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Q: Using spherical coordinates, the volume of the solid inside the sphere 3√3 x² + y² + z² = 9 and…

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Q: d. What is the area of the circle with one part missing? e. Describe the surface area of the cone.…

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Q: how that the union of a finite. number of bounded sets is bounded

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Q: Consider the curve C = C₁ U C2 U C3 U C4, piecewise smooth, oriented from the point A (3, 7, 3) to…

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Q: 3. Find the maximum and minimum values of z-a 1 āz on |z| ≤ 1 (where a with la| < 1 is fixed)

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Q: products 1 and 2.Andrea has an initial endowment of ( ω 1,ω 2 ) = (80,80), and initial prices are 4…

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Q: Let G be a group and H, KG normal subgroups of G. Prove HnK≤ G.

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Q: The given functions are concave or convex or neither in the domain: 1). f(x, y) = 2r-y-r²+2ry-y² 2).…

A: As per the question we are given two multivariate quadratic equations : f(x,y) = 2x - y - x2 + 2xy…

Q: A S B 15 D 11 18 19 16 10 Given the Venn diagram as shown above, answer each of the following…

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Q: 11. Find the equation of a positive cosine function graphed below with the smallest phase shift…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…