Find the indicated term of the binomial expansion. (√2₁² +1³); second term 3 u

Q: Compute the directional derivative of the following function at the given point P in the direction…

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Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: Find the point on the curvey=e* + x where the tangent is parallel to the line y = x.

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: Compute the matrix exponential eAt for the following system x' = Ax. x₁ = 2x₁ + 2x₂, x 2 = 2x₁ + 5x₂…

A: We have to find the matrix exponential for the given system.

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression

Q: Consider the following position function. a. Find the velocity and speed of the object. b. Find the…

A: Given,

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: Use special limit rules to discuss your response, you may use any graphing tool to support your…

A: In a n-sided regular polygon, the angle made at the center is the division of the total angle of a…

Q: i. x+1 lim X→∞ X-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: The given function in the interval .The aim is to find the area under the curve using the midpoint…

Q: 2 0 0 1 -2 1 0 4 -3

A: given matrix is ,

Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

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Q: you alos calculate the following

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Q: 9. The angular displacement of a spinning shaft is given as = 0.7t² - 5t+3, where is in radians and…

A: Given that the angular displacement of spinning shaft is where  is in radians and t is in seconds

Q: For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax,…

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Q: lim У-у-г уг -30+2 зу Уже

A: We have to findlimx→−2

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

A: Given

Q: The cost for producing a thousand widgets is given by C(x) = 0.06x4 - 2x³ + 14x² + 400x, 0 ≤ x ≤ 60.…

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Q: et P(x, y) denote the point where the terminal side of angle 8 (in standard position) meets the unit…

A: The figure

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Q: The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete…

A: We have to find the function using table values

Q: An equation of the ellipse is

A: Given that the graph of the ellipsewe have to find equation of the ellipse

Q: SX7UPET dx

A: I=∫x7x4+1dxI=∫x4(x4+1)x3dxI=14∫x4(x4+1)4x3dxSubstitute x4+1=u

Q: Find the function g(x) satisfying the two conditions: 1. g'(x) =-512x³ 2. The maximum value of g(x)…

A: To find the function  satisfying the following two conditions:(2) The maximum value of  is 5.

Q: f(x) = −x+10 g(x) = x² − x − 11

A: Given that the function

Q: Let F(x) = sin(6t²) dt. S Find the MacLaurin polynomial of degree 7 for F(x). S Use this polynomial…

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Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: lim x-0+ x lim x-0-x² g. h. 2 1+x i. lim (¹+2) ² →? x-2

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: In Problems 1-8, find the eigenvalues and eigenvectors of given matrix. 1. 3. [2 7. 2 2 100 5. 002 0…

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Q: S (x² − 2) dx; n = 4 32.

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Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: L³₂x³dx -2 2 1 x+0.5 dx

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Q: 6. Σ. 1 n=1 1 ηγη2 +1 n

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Let h(z) -5+42-42³ 2² Determine the most general indefinite integral of h. I -5+42-423 22 dz P

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Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: A graph of the trigonometric function is given.The aim is to find the equation of the graph.

Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

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Q: Start with the geometric series (1) Σ nx", lx| < 1 n = 1 (a) Find the sum of the series nx-1, |x| <…

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