Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1 ,a=1 2x - if x < 1

Q: Eight workers are assigned to 8 different jobs. Combination Not Combination

A: Eight workers are assigned to 8 different jobs. We have to determine whether it is combination or no...

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A: The given series is sum of x5n-3/n! ,n from 0 to infinity.

Q: Find the solution to the initial-value problem. y' = 2xy(1 + 3y), y(0) = −1 y =

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Q: II. Worded Problems 1. A rope 96 feet long is divided into ratio 3:5, find the length of each part.

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Q: ne region bounded by f(x) = - 1x + 7x + 18, = 0, and y O is rotated about the y-a ne volume of the s...

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. + 8) n= 1 li...

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Q: et+1 g(æ) = x + 1

A: Given that gx=ex+1x+12To find : g'x Solution : gx=ex+1x+12g'x=2ex+1x+1ddxex+1x+1g'x=2ex+1x+1ex+1x+1-...

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Q: Given the series 3" Σ n=1 antl find the ratio an (Express numbers in exact form. Use symbolic notati...

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Q: Find the arc length of the space curve given by the vector function t3 i + t2 j + (2t + 1) k from th...

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Q: Find the interval of convergence of E27" (x – 3)3n+2 n=0 (Use symbolic notation and fractions where ...

A: Giv:    Limit equations is given

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Q: 2w - kW , find k. Let W =cos(5x) cosh(3y) sinh(4z) . If dx2 + + dy2 dz2 Note : If your answer is -16...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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A: According to guidelines we solve only first question. 

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A: We need to find rate of change of demand.

Q: Let f(x) = x 2 + 4x − 2. (a) Find the slope of the secant lines from (1,3) through (x, f(x)) for x ...

A: A) msec =f(x1)-f(x0)x1-x0f(1) = 3at x=1.1msec =f(1.1)-f(1)1.1-1 =3.61-30.1 =6.1at x=1.01msec =f(1.01...

Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r = ...

A: Given query is to find the equation of the tangent.

Q: Using the method of Lagrange multiplier, determine the minimum and maximum values of f(x,y,z)=2x+3y ...

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Q: A particle moving along a curve in the xy-plane has position (x(t), y(t)) = (-9 sin(9t), 3t² + 10t),...

A: Solved below

Q: 010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. Respo...

A: Topic:- algebra

Q: хр %3D S + X хр Find at (-7, 1) if xy: %3D (Rou

A: We have to find dy/dx   at (-7, 1) 

Q: Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2€ _...

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Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5) a...

A: Given query is to find the equation of the circle.

Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: Find the equations of a Tangent line in a given curve to the given value of x. * -1 y =tan x, x = 1

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Q: evaluate the derivative of 3x^2+y^2x=9

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Q: Euler's method. y' = y + t2, y(0) = 5; exact solution is y = 7et − 2 − t2 − 2t Estimate the solution...

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Q: for f(x)= l x-1 l use the definition of deferentiablity to determine if f(x) is diferentiable at c=

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Q: Q4 Let f : R → R be the function defined by 1 f(x) = a) Is f is one-to-one? If yes, then explain why...

A: topic - onto functions

Q: In this ULO, we have learned how to use critical points, first derivative test and second derivative...

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Q: Which of the following equations yields to a non - degenerate conic? A 3x2 + 3y² - 12x+ 12y-6=0 9x2 ...

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Q: 4. A rod is divided into ratio 1:3:5:6. If the 2nd to the shortest part is 35, find the length of th...

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Q: The Maclaurin series of the function f(x) = 9 cos(10z?) %3D can be written as f(x)= Cna" where a few...

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Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: Suppose g is a function which has continuous derivatives, and that g(2) = 5, g'(2) = –5, g"(2) = –1,...

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Q: A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the...

A: Given: A post 20 meters long stands vertically in a horizontal plane. Another post 45 meters high st...

Q: 교-3 with n5+3 Write an inequlity comparing for n 2 1. n3 (Express numbers in exact form. Use symboli...

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Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

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Q: The level curve of the surface f(x,y) = x² + y2 + 4x -10y + 28 corresponding to c is a circle of rad...

A: We need to find equation of circle.

Q: top of the second post. How far from the shorter pole must the peg be installed so that the length o...

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Q: O Paused Upc webassign.net/web/Student/Assignment-Responses/submit?dep=28727898&tags=aut... The prof...

A: topic - application of derivatives note : as per bartleby guidelines, we are supposed to answer only...

Q: The function f(x) sin(3x) has a Maclaurin series. Find the first 4 nonzero terms in the series, that...

A: Maclaurin series is just expansion of function with center zero. Which we xan found easily.

Q: Let y(x) be the solution of y' = y − 6x such that y(2) = 2. Using a step size of 0.5, set y0 = y...

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Q: 5. (a) Find elementary matrices E; (avoiding ones that swap rows) which will row reduce the matrix 1...

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Q: 7. Find the dy/dx of * y = In sin 5x

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