4 3. 4 -3 2 -1 3 6. 8. -3 Given the piecewise function above evaluate the following statements. (write "DNE" if the limit does not exist)

Q: () limに)→(0.0)

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: The vector describing a particular particle is given by F (t) = Rcos (wt) î + R sin (wt) ĵ, where R ...

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Q: By double integral, find the volume of the solid enclosed by a paraboloid x + 2y2 + z = 16, the plan...

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Q: evaluate the differential equation: -5y +4y =z-2+

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Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test

Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: Compute the flux of the vector field F = 3xzi + 5yk through the surface S, which is the hemisphere x...

A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exact...

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Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f) f[h(x)-...

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Q: 2 Find the tangent to y = Vx - x+4 at x = 1. 2 The tangent to y = /x - x+4 at x= 1 is y =:

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Q: Find a formula for the area of the ellipse a2 y? =1 (where a,b>0). 62 Show and explain ALL your work...

A: lets the area A = 4∫0aydx lets write x = asin(t)   y = bsin(t) dx = acos(t)dt limit is o to π/2 A = ...

Q: Which of the following functions is differentiable for all values of x? a. flx) = 2r° + 5x? b. f(x) ...

A: Function which is differentiable for every value of x is

Q: Select all that apply. Find the solutions to the equation sin²0 - 1 = 0, where 0s0< 2TT TT 2 371 4 3...

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Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: A dilation has center​ (0,0). Find the image of the point ​L(−3​,0​) for the scale factor 2. L'=

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Q: Evaluate the following integral. 6w + 4w - 54w° - 114w – 54 dw w° - 9w 6w + 4w – 54w° - 114w – 54 3-...

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Q: Find the solution of the differential equation that satisfies the given initial condition. dL dt = k...

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Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or decreasing...

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Q: Sketch and describe the curve defined by the vector-valued function below. 7(t) = (t cos t, t, tsin ...

A: To sketch: The curve r(t)→=&lt;tcost,t,tsint&gt; Solution: Given x=tcost,y=t,z=tsint x2+z2=tcost2+ts...

Q: raitional fanction alg2 Which equation represents a rational function ? algebra2 Rational function...

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Q: Find f(-1,1,0) f(x,y,z)=(2xy-y^2+z)/(x^2+3xy+z)

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Q: Find y' and simplify: y = cot-(eSin ) - esincos t y' = 1+ e2sin t 2 sin t y' = 1+e2: e sin t 2 sin t...

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Q: Write the inverse of h(x) = log6x h -1( x) = 6 x h -1( x) = 6 x h -1( x) = x 6

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Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

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Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: 1+ cosx + sinx sinx 1+cos x 2sec x 2csc x 2csc 2x 2sec 2x X.

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Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16. W...

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Q: The Pacific halibut fishery has been modeled by the differential equation dt where y(t) Is the bioma...

A: the solution of equation y(t) = M/(1+Ae-kt) where A = (M - y(0))/y(0)            A = (9 * 107 - 2*10...

Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

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Q: Select the best answer. (플-0) 371 CoS 2

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Q: 2.2.7 Exercise Let X be a nonempty set and S the smallest o-algebra in X which contains all singleto...

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Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural nu...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

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Q: QUESTION 3 What is the graph of the equation x2 + z2 = 1? Circle Cylinder Plane Sphere

A: ⊙The standard equation of circle in x-z plane with centre (h,k) and radius r is given by:           ...

Q: 8. Find the following given f(x) = 4x – 6, g(x) = 2 x. a) (f + g) (x) b) (f- g) (x) c) (fg)(x) d) (f...

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Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

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Q: Evaluate: [(3x2 +9y²)dxdy Use inner limits 0 to y and the outer limits 0 to 2. а. 35 b. 30 O. 40 O d...

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Q: Find fy if f(x, y) = sin 5x cos 5y O fy = 5sin 5x sin 5y fx = cos 5x cos 5y O fx = 5cos 5y cos 5x fx...

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Q: Evaluate: A 4e“+C +C +C E) None

A: Given problem:-

Q: The surface z - - = 1 is a hyperboloid of one sheet. Select one: True False

A: The general form of the equation of hyperboloid of one sheet is: x2a2+y2b2-z2c2=1

Q: sin 20 arctan(sin 0) d0

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Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point ...

A: Let's find. 

Q: A closed box whose length is twice its width is to have a surface area of 192 square inches. Find th...

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

A: Given that fx=x+5cosx    x∈0,2πTo find : point of inflectionSolution:if find point of inflection the...

Q: 3 Which of the following properties describe the sequence n3 Jn=4 Bounded, not monotonic Not bounded...

A: We have to choose the correct option according to the given options using the property of sequence

Q: 22 Choose only two: (- A) Graph the two equations and find the points in which the graphs intersect....

A: To answer the given question about the parabolas.

Q: Find the solution to the differential equation y' =    2y satisfying y(0) = 18.   y(t) =    b). F...

A: Topic:- differential