Write the system of equations that corresponds to the following augmented matrix. 1-9 9. -3 5-4 Complete the system below. X- %3D %3D

Q: Find real numbers a and b such that the equation is true. a + bi 3D 19 — 6і a = %3D

A: We can find the value of 'a' and 'b' as below

Q: Test for convergence or divergence, using one of the tests listed below. 00 Σ 1 n3 n = 10 - 729 O…

A: Suppose that we have two series ∑an and ∑bn with an≥0, bn≥0 for all n.Define            c…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Maximize f(x,y)=4x+4xy+y Constraint: 4x+y=200.

Q: The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be…

A: The population P(in thousands) is given by: P=75.9e0.0316t where t represents years with t=1…

Q: Find functions f (x) and g(x) (either graph or explicit formula) that satisfy both of the following…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z? = 26, (1,…

A: This question is related to coordinate geometry ,we will solve it using given information.

Q: 14. (a) If f and g are continuous functions on [a, b] with f> f g for every xe [a, b], must it be…

A: Solved below

Q: 2 dx xVx ² -1

A: We know that the ddxarc secx=1xx2-1then∫1xx2-1dx=arc secx

Q: write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 2) Given: x = t³ + 1, y = t² – t a) Find dy/dx and d²y/dx². b) For which values of t is the curve…

A: The given functions are: x=t3+1, y=t2-t

Q: David has available 400 yards of fencing and wishes to enclose a rectangular area. Express the area…

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Q: Use the shell method to write and evaluate the integral that gives the volumme of the solid…

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.7 sin (t - 4). What…

A: Average value of the function v(t)over an interval [a, b] is given by:is given by;[0, 3]v(t) =13-0…

Q: Hazel is 24 and wants to retire at age 62. She deposits $1,100 at the end of every 6 months into a…

A: We have to find how much money does she have in the fund when she retires, size of the monthly…

Q: 0 < x < 1 where f(x) is p.d.f. Find: 1. Let f(x) = Cx (i) the constant C. lii PG < x<) and P(-< x <…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the integral 4 3x dx

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Q: Benjamin wants to accumulate at least $45,000 by depositing $1,200 at the end of each month into a…

A:

Q: (x'+y' )dx +(2xy+ cos y)dy

A: (x2+y2)dx+(2xy+cosy)dyIt is of the formMdx+Ndy=0where M=x2+y2  ,  N=2xy+cosy∂M∂y=2y  ,…

Q: has 1100 ft of fencing to fence in a rectangular horse corral. 550- x (a) Find a function that…

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Q: An equation and, its graph are giiven. Find an inequelity whose sotution ia the shaded region.

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Q: 5): If A is a n x n matrix such that A0 = In, then %3D A is a nonsingular matrix. Select one: True O…

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Q: Write the complex number in standard form. -18 + V-50

A: (-1)1/2= i

Q: 3- 2- 6 -5 -3 /-2 -2- 1.

A:

Q: The figure below shows.the rate of change of a fish population. Estimate the total change in the…

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Q: Σ Use the Direct Comparisơn Test to determine the convergence or divergence of the series. 00 1 Σ…

A: I have appended the formula used in the solution part.

Q: if fcx) : gex) = X 11 X+ 1 find DE n Dg 2.

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Q: Find the gradient of the function at the given point. g(x, y) = 3xellx, (10, 0) Vg(10, 0) =

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Q: 9. Given z=x siny + 2x*y- cos(xy), calculate or z yr C) cosy+4x +x cos(xy) + ysin(xy) D) cosy+4x +…

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Q: Given A, find A'without a calculator. - 11 A = - 2 1

A: The given matrix is:A=-11-21We need to find A-1

Q: Suppose in the year 2000 a city has population 687 thousand and is declining at a rate of 1.03% per…

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Q: cos“ x 1- sin x

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Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 Σ n4 n = 1 00 1…

A: Solve the following

Q: V(t) = 2tv/10 – t

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Q: Let A be the given matrix. Find A-1 without a calculator. 00 1 A=100 010 A 1

A: The given matrix is A=001100010

Q: Solve D.E using Exact from first order (6x² - y+3)dx+(3y² – x- 2)dy

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Q: f(x) da, where Evaluate S 5æ°, 0<x <1 f(x) =3 62, 1 <r< 2. 2 | f(x) dr =

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Q: The function f(x) = 2x³ – 33x² + 60x + 10 has one local minimum and one local maximum. Use a graph…

A: The given function,      fx=2x3-33x2+60x+10

Q: x2 – 1 - 1 x 2

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Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

A:

Q: A particle moves along the x-axis such that at any time t 0 its position is ax(t), its velocity is v…

A: The velocity of a particle at any time t is given as: vt The acceleration of a particle at any time…

Q: Calculate the definite integral. 10 8. dx X. 2.

A: We can solve this as follows:

Q: Solve D.E using bernouliis equation dy – 2x · = x(x+1)y' dx

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Q: Match the indicated conditions with one of the graphs (A)-(D) shown below. 13. f'(x) >0 and f'"(x) >…

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Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: Evaluate the integral. 2x´dx 4 5.

A: ∫452x2dx

Q: Let f(x) = 2x + 3 and g(x) = x2+ 4x + 3. a) Find and simplify (g◦ f)(x). b) Find f −1 (x) and show…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 4y² + 18x – 18 over the closed region…

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Q: 3 S Inx dx 1

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Q: Given 7 f(x) dx = –10 f(x) dx = 8 %3| 7 6. g(x) dx = –1 g(x) dx = -8, compute the following…

A: Solving question

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4)

A: To find the gradient of the function at the given point.