If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in how many ways can it happen that at least 3 of the marbles picked are blue?

Q: 1 Let Hn = 1+ 2 1 +.. 1 be the n-th Harmonic number. 3 Prove that H2n <1+n for all nonnegative integ...

A:

Q: Each of four siblings (Edmond, Gennalyn, Madelyn, and Sonia) bought four different cars. One chooses...

A:

Q: Give an example of a function f which is integrable on (0,1] such that f(z) >0 for all (a) IE (0,1] ...

A:

Q: Determine the solution of the initial value problem 1. у" + 4y' + 5у%3D 35е4*, У (0) %3D — 3, у'(0) ...

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A:

Q: 5. Let V be an inner product space over C. Show that for any v, w e V (v, (v, w)w) = | (v, w) |² and...

A:

Q: (a) Let f, 9, h : N → R²º. Prove or disprove that if f + g€ O(h), then f e O(h) and gE O(h). (b) For...

A:

Q: Activity 4. Give the coordinates of the teminal points coresponding to the following arc lengths on ...

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: Use either elementary row or column operations, or cofactor expansion, to find the determinant by ha...

A:

Q: 1. Which of the following sets of vectors a = of R (n 2 3)? (a1, .. . , an) in R are subspaces (a) a...

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

Q: (2n+1)! (x-2) n=0

A: We have to find the radius and interval of convergence.

Q: For a certain company, the cost for producing a items is 40r +300 and the revenue for selling x item...

A:

Q: What is the general solution to the differential equation (x*+ 2y)dx – xdy = 0 ? 2y = x4 + Cx? 2x – ...

A:

Q: 3x1 + x2 Let T (rD = [5x1 + 7x2|. Justify your answer for the questions below. X1 + 3x2 a) Is T a li...

A:

Q: 7. (a) Give an example of a function f which is integrable on [0, 1] such that f(r) 2 0 for all IE (...

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

A: Any point in the three dimension is represented as x, y, z. A graphing utility can be used to plot t...

Q: Suppose that f(x, y) = e¯4z² - ly + 7z + 2y then find the discriminant of f.

A:

Q: A continuously-decreasing function that is concave up on the interval [2, 6] is represented by the t...

A:

Q: Prove If a,b, and c are integers with a|(b+c) and a|b, then a|c.

A:

Q: Two Siderof a triangle have lengthsa=4 m b=3 Cm but are inckeasing at the Kate of 1 csee If the area...

A: Refer to the images for solution.

Q: 3.(Straightforward) Determine if each of these differential equations is exact, and if so, solve it....

A:

Q: G. Answer the following given problem. G.1 Find the domain and Range. Also, state whether each set o...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

A: We will use the basic knowledge of linear programming and optimization to answer this question prope...

Q: Find the volume of the solid generated the area bounded by y = /x, the x-axis and x = 4, rotated abo...

A:

Q: What could be an integrating factor in solving the differential equation (1 +x²)+ (1 – x)² y = xe¯* ...

A: Option D is correct option.

Q: Determine which property of determinants the equation illustrates. |2 3. 2 3 0 -1 O f one row of a m...

A:

Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A...

A: This is a problem of modeling and IVP.

Q: Exercise 1. Show that there are infinitely many primes of the form 4n+3. Hint: you might find it use...

A:

Q: 2) Let R be aring. An element a6 R is called a Zevo divisor jf there exists bER such that a) a.b=0 a...

A: It is given that R is a ring and the element a∈R. We have to state the definition of zero divisor an...

Q: 2 3 4 2 5, and E [vi va va]. Let vi = 1 • V2 = -2 3 Determine if u is in Col E, the column space of ...

A:

Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

A:

Q: 4 ft 8 ft 17 ft 4 ft 8 ft 7 ft 5 ft 7 11 ft 9 ft 15 ft

A:

Q: 5. Let V be an inner product space over C. Show that for any v, w ɛ V (v, (v, w)w) = | (v, w) [² and...

A:

Q: (e) Use a backward finite difference approximation to approximate the first derivative of the follow...

A:

Q: Miguel is auditioning in one of the prestigious singing contest on television. If he is required to ...

A:

Q: Using the interval bisection method find the positive root of x^2-3=0 correct to 4 decimal points, s...

A: Bisection method

Q: 6s+21) a Tost +5) 35+5

A:

Q: Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces t...

A: Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces t...

Q: Find the degree of the following Ihcc recurrences: 1. аm — ап-2+ 4an-3 + 2an-6 %3D 2. аn 5an-1 3. ап...

A:

Q: Find the unknown variable: C(n+1, 7) = O! Your answer

A: Value of n

Q: QUESTION 10 Find the two square roots of the following complex number: (-5 + 12) O (3 + 2i) & ( - 3 ...

A: To find the square roots of the given complex numbers. -5+12i The square root of a complex number a+...

Q: A food server examines the amount of money earned in tips after working an 8-hour shift. The server ...

A:

Q: 6. Evaluate (a + y) da dy dz, where D is the tetrahedron with vertices (0,0,0), (1,0, 0), (0, 1, 0) ...

A: Introduction: The triple integral is applicable to find the volume of a solid enclosed by given regi...

Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding |...

A:

Q: Complete the following statement. If m|n and n Im , then.. а. m= - n b. m=+/-n c. None of these d. m...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by x = 4 – y and x + y = 2 abou...

A:

Q: The one-to-one functions g and h are defined as follows. g= {(-4, -3), (-1, 4), (4, 6), (6, -7)} h (...

A: Given that g=−4,−3,−1,4,4,6,6,−7 and hx=6x+13. We have to find the g−14. First we will find the g−1,...

Q: Find the present value: 1. Php 40,000 due in 2 years at 3% compounded monthly 2. Php 60,000 due in 3...

A: As per Bartleby guidelines we're supported to answer only first three subparts . Kindly repost rest ...

Q: Replace the polar equation r= with an equivalent Cartesian equation. Then identify the graph. sin 0-...

A:

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375