Let a and b be two unit vectors. (a × b) + (b × a) a x (a.b) a.(a+ (a × b) ) a. (a × b) Choose... Choose... Choose... Choose... ◄►

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³…

A: Given, The total sales of a company t months from now are given by, S(t) = 0.04t3+0.5t2+2t+5

Q: along the y-axis (marked in feet , find the following. eous velocity function v = f'(x) when x = 0…

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Q: A stock who just declared a dividend of ₱2/share is currently valued at ₱60/share. The firm is…

A: Sol:- To calculate the assumed rate for the firm, we can use the dividend discount model, which…

Q: Liminf of the sequence is an = √2n(√2n +4 | 3 + 1/1/0 n √2n) n is a prime number n is not a prime…

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Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

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Q: For f(x)= e-x, use Taylor formula to answer the followings: a) Write an approximation of f(x) in…

A: fx=e-x

Q: Question 2 A force field (in newtons) is defined by F(x, y) (b) = where coordinates x and y are in…

A: Given vector force function is  Fx,y = xy2+x , -x2+1y3 (a)  F0,1 = 012+0 , -02+113 = 0,-1…

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: Rules of the Game Using the notation that was introduced in the Crowdmark question for this part,…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 1. Show that the series (-1)-1 (3n+5) In(n+2)+3 is convergent, and determine how many terms of the…

A: Given that the series    ∑n=1∞(-1)n1(3n+5)ln(n+2)+33

Q: 3 • 60⁰ da to three decimal places. 2x³ +4 Fill in the table below and input you final answer.…

A: Introduction: Numerical estimation refers to the process of approximating the value of a quantity or…

Q: Let a, b, c and ij be the three dimensional vectors ä=j+5k, b=-27+6j+8k, č=57+8j, j =-67+3j Perform…

A: Given that the vectors a→=j→+5k→b→=-2i→+6j→+8k→c→=5i→+8j→y→=-6i→+3j→     .

Q: The standard Monte Carlo approach used in integration is based on the Mean Value Theorem for…

A: Monte Carlo integration is a numerical technique for approximating integrals using random numbers.…

Q: 3. [Multiple questions in one item] Consider the column vector x = 02 3.1. If the product exists,…

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Q: In a survey on consumer spending methods, the following results were obtained. Payment Method…

A: In a survey on consumer spending methods, the following results were obtained. Payment Method…

Q: 3. Use the inequality | fc f(z)dz] ≤ maxzec f(z) x length of(C) to prove (a) Je, C: circle |z| = 3…

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Q: First assumption behind least squares: Ax = b- (noise e with mean zero). Multiply the error vectors…

A: The first assumption behind least squares is that the relationship between the independent…

Q: 3 (a) Using Euclid's algorithm, solve the equation [25]57 X = [4]57 for X € Z57. Show your working.…

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Q: Prove each of the following statements using mathematical induction. (a) Prove the following…

A: Since you have posted a multiple question according to guildlines I will solve first (a)question for…

Q: Σ=1(*) (2) Use the Integral Test to show that the series E- converges. Hint: use integration by…

A: Since you have posted multiple questions, we will solve first question for you. If you want any…

Q: Noncrossing matching is connecting exactly two points with a line that does not below the points and…

A: As per the question, we are asked to prove that noncrossing matchings are a Catalan object for 2x…

Q: 7. Evaluate the contour integral fc (²+1)(2-1)dz along the following contours (a) C |zi| = 1,…

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Q: Mayfair Fashions has a $90,000 line of credit from the Bank of Montreal. Interest at prime plus 2%…

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Q: Let 1 √2 1 √2 1 √2 √2 Find, with justification, B2015. (Enter sqrt(n) for √n.) B = J 1

A: Given matrix is B = 12-121212

Q: Problem 1 (Diagonalisation) Let A == 5 -4 2 4 -2 2 0 -3 2 € R3x3 a) Show that λ = 1 is an eigenvalue…

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Q: Theorem. (Distributivity: HAV (BAC) = (A v B) ^ (A V C) HA A (B VC) = (A AB) V (A VC) V over ^ and ^…

A: In this solution we will prove the distributive of ∨ over ∧ and distributive of ∧ over ∨. The given…

Q: The answer above is NOT correct. Find the area of the region inside: r = 70.796 10 sin but outside:…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Area bounded by region

Q: Find the marginal profit function if cost and revenue are given by C(x) = 290 +0.9x and R(x) = 3x…

A: The cost function is given by C(x)=290+0.9x The revenue function is given by R(x)=3x-0.09x2. The…

Q: Consider the initial value problem dx 4 dt X₁ 1 x(t) = (a) Find the eigenvalues and eigenvectors for…

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Q: A lamp has 3 light bulbs. Each lightbulb has a life span that corresponds to a random variable X,…

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Q: A pediatrician wants to determine the relation that exists between a child's height, x and head…

A: Given, Height (inches), X Head circumference (inches),Y 27.5 17.5 24.5 17.1 25.75 17.2…

Q: Show that the set of solutions of a second-order linear homogeneous differential equation is…

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Q: Suppose you draw an upside down staircase with boxes that create an x by x grid. The uncolored…

A: As per the question, we are asked to prove that tiling an x by x upside-down staircase with x…

Q: Let v1, . . . , vp be vectors in R n . Show that if vp ∈ span{v1, . . . , vp−1}, then span{v1, . . .…

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Q: Suppose A is an m × n matrix and B is an n x p matrix. Show that Col ABC Col A and NulBC Nul AB.…

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Q: Show that a group of order pn, where p is prime, is solvable.

A: Let G be a group of order p^n, where p is a prime number.   We will prove by induction on n that G…

Q: A poll reported that 66% of adults were satisfied with the job the major airlines were doing.…

A: Since part a) question is not mentioned.I'm doing part b and c.

Q: Question 4 This question shows an application of multiple integrals in engineering and some…

A: Given: Given a panel that is rectangular and under the influence of hydrostatic pressure. Its length…

Q: aex + 2b - 1, f(x) = ax² + bx + 3b, 2a* + 7bx, x≤0 0 1

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Q: Before being allowed to enter a maximum-security area at a military installation, a person must pass…

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Q: If the Taylor series of function f(x) = In(4x + 3) about a = 1 is co + (x - 1)" then, and if n ≥ 1,…

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Q: Show that an isometry of Rn is one-to-one.

A: To show that an isometry of R^n is one-to-one, we need to prove that if two different points in R^n…

Q: Zaidah plans a raised flower bed 2 ft high by 15 ft wide by 12 ft long. The mulch, soil, and peat…

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Q: (a) Use the Integral Test to show that the series Σ=1 (b) Find the value of the approximation s5 =…

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Q: If G is a finite solvable group, show that there exist subgroups of G {e} = H, C H, C H, C · · CH, =…

A: We need to prove that there exist subgroups of G, e=H0⊂H1⊂H2⊂...⊂Hn=G such that Hi+1Hi has prime…

Q: The equation T = 0.8sin ((t-7)) + 101.2 describes the body temperature of a pig in Fahrenheit, where…

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Q: A pair of fair dice is rolled. What is the probability of each of the following? (Round your answers…

A: A pair of fair die is rolled. So, sample space is            S = {(1, 1), (1, 2), (1, 3), (1, 4),…

Q: Find the upward flux of F= (14e2,-7e²,-6) through the first-octant part of the triangle a+2y+3z-6.…

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Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…

A: Given, Min.c=10x+6y+9zST      19x+11y+18z≥69            12x+14y+4z≥138and x,y≥0