Let = (2,-1, 1) and b = (1, 1, 2). Find the area of the parallelogram determined by ✯ and 7. Find || – proj||. - Find the angle # between aand .

Q: When creating a right-endpoint Riemann sum on the interval [-62.3, 253.9] using 44 rectangles, the…

A: Width of each rectangle            Right endpoint of  rectangle…

Q: Refer to the previous problem for context. Suppose you need to integrate some specific function f.…

A: Given,The table of value of (x,f(x)) is as follows:x–0.5–0.2500.250.5f(x)1089711From experimental…

Q: Find the inverse. Select the correct choice below and, if necessary, fill in the answer box to…

A: To find the inverse of the matrix .Concepts used:A matrix  has an inverse if and only if .To find…

Q: 23 The shown RLC circuit with a - resistor, a 50 driven by the voltage E(t) = 0.07t² V. E = 1 100 R…

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Q: Find 1 3 2 + 9 4 + (−1)26 226 326

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Q: *23. For a certain type of rice, about 50 grains fill. 1-cm-by-1-cm-by-1-cm cube. Refer to this…

A: a. To show your students 1 million grains of rice, you would need a container that can hold 1…

Q: Find Fibonacci numbers, fn, can be used as coefficientsin a power series defining a function of x?

A: Given Information:Fibonacci numbers Objective:Write a function of  in power series in which the…

Q: 1. Consider the following linear system 3xy + 4z = 2b 2x + 3y z = 5 2x+y+az = 3 Determine the values…

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Q: 2. For a permutation Te Sn, consider = 172...n in one-line notation and let the inversions of T be…

A: As explained in the example, we have to find the number of inversions for permutation 2437165.An…

Q: 17: Show that the state vectors 14)= (+) √ž (√2) are or thogonal. Is 14) normalized (Hint: (41=(√/₂…

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Q: Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of…

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Q: PROBLEMS: Section 3.3 For Problems 1-10, a differential equation and one solution are given. Use…

A: We solve the given differential equation by method of reduction of order.

Q: Use interval notation to report domain, range, increasing, decreasing, constant. x=5 I F (1,3) (1,0)…

A: The graph of the functions are given.The aim is to find the domain, range, increasing, decreasing,…

Q: Which of the following is less than 2 ? O 19/11+3/4 O 1 1/4+2/5 O 19/15 +7/11 O 13/6+1/2

A: We will apply basic mathematical operations to find numbers less than 2.

Q: A level with a collimation error of 0.00008 ft/ft is used in leveling a line that has a sum of 525…

A: Given Information:Collimation error =0.00008ft/ftBacksight distances sum =525ftForesight distances…

Q: Solve the inequality to two decimal places where 0 ≤ x ≤ 2π, 4 cos(x) + 2 > π

A: We will use the graphs to solve this inequality.

Q: A = 0 -2 0 0 1 (e) Is v = 0 0 0 -1 0 0 0 -3 0 0 -9 1 0 0 0 0 0 0 0 6 (a) Using any method, calculate…

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Q: Integrate [x xex dx.

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Q: Show that lim R→∞ 1 SA | |z|=R 2² +42 +2 dz = 0 =

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Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as Use…

A: Given: A kidney shaped swimming pool whose width is measured at -meter intervals as shown. To use…

Q: 3. Find the base of a rectangle of height 7 m and whose area is three times the length of its…

A: Given height of rectangle =h=7mlet base =b mso area =base X height=perimeterGiven area=three times…

Q: 7. (a) Prove that m³ + 2n² = 36 has no solution in positive integers. (b) Prove that for every n e…

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Q: Sketch a directional field for the equation. Identify at least 4 isoclines. dy dx = y +x Isoclines:

A: This is a problem of directional field problem.

Q: Assume breathing is cyclic and a full cycle from beginning to inhalation to end of exhalation is 4…

A: To find out how much air is inhaled by the lungs after 30 seconds, we need to integrate the rate…

Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

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Q: Evaluate ſi x² (x³ + 8)4 dx

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Q: 7.a) Rank the following time bounds. That is write them as f₁, f2, ..., f6 and show that fi =…

A: Given Information:a) List of functions are provided. b) Objective:a) Rank them in order as one is…

Q: 1. Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the…

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Q: 1 Given: The region bounded by: y = x² ● y = x4 x = 0.4 x = 0.6 NOTE: All Dimensions are inches,…

A: Note : According to the guidelines we are allowed to solve three sub parts at a time.

Q: al Times New ... ▾ 12- BIU A- A Y E 138 7. If you get 2 imaginary answers when using the quadratic…

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Q: - the differential equation wer to the previous part: ye(x) = y'' + 42y' + 152y = 8 cos(8x) Ae - 38x…

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Q: If n = 293, and f(x) = √√/44521 – x², what is the absolute difference between the left and - right…

A: Given, if and To find the absolute difference between the left and right Riemannsums on

Q: Concerning the polynomial p(x) = ao+a₁x + +anx", prove the following result. For a given x, we set…

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Q: Solve the differential equation y"-2y'-15y = -30x +41 with initial conditions y(0) = 2, y'(0) = 3.…

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Q: Using Green's Theorem similarly to as in the proof of a version of the Cauchy-Goursat Theorem from…

A: Given that C is a simple closed curve, oriented counterclockwise.The area/region R of enclosed by C…

Q: Show that if a, b, c ER then: (m) if a > 0, b>0, (n) if a > 0, b>0 (o) if b0, c 0, then when b = =…

A: As per the guidelines we can solve only 3 subparts. Please repost it with other parts.(m) Let…

Q: Use index notation to show that: If V-u-0,V-v=0, and Vxw=0, then V-[(xv)xw]=w[(V)-(LV)v]

A: Given  .To prove  .The formula for cross product is given by .

Q: Compare the shapes of the distributions of the two data sets. Both data sets are skewed right. Both…

A: Description for data set A.A line plot that is symmetrical with respect to a data point at position…

Q: Sketch the vector field F. O - 1 + (x −x) ₁ F(x, y) = - 1

A: Given that the vector function is .The objective is to sketch the vector function.

Q: A refrigerator that originally cost $1300 was reduced to $910. What is the absolute change in price?…

A: Orginal cost of refrigerator =$1300Reduced cost of refrigerator=$910Since we know that ,Absolute…

Q: Prove that the set Pn of all polynomials of degree less than or equal to n forms a vector space…

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Q: The following table provides data on access to running water in the home for a certain developing…

A: From the given table we have,Number of people in urban areas who have running water in the home =…

Q: The triple ⟨911Z, +, ⋅⟩ forms a commutative ring. It is also an integral domain. However, it is not…

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Q: Find the index of 12Z in 3Z

A: The integers are

Q: a) b) tg X - X -1 = 0 2e-x sin x = 0 i

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Q: Let S be the line segment connecting i to 1, oriented either way. Show that 1 1/2 d S dz ≤ 2√2

A: Sol.    Given that   S is the line segment connecting i to 1.i.e.,    S={(x,y): x+y=1,  0x,y1} .…

Q: d. How many terms does the finite sequence 7, 16, 25, 34, 43, . . ., 1231 have? e. Find the sum: 7 +…

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Q: Consider the following subset U= $(x,1/4, 27 1x, y, z ERG € R², is U a sector subspace of Re. show…

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Q: Evaluate [ ' x²(x³ + 8)¹ dx

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Q: Find the Laplace transform, F(s) of the function f(t) = e5t, t> 0. F(8) = [ ✓ ? dt ds dx

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