Evaluate if possible a) 2 ∞ Σα η=4 n2+4n+3

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

A: Existence of laplace transform Theorem: If F(t) is a piecewise continuous function on every finite…

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A: We are asked to find the  number A(t)  of pounds of salt in the tank at a time t

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Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ti+ sin(t)j + cos(t)k)…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: that makes y continuous but not differentiable by writing the required procedures to that If: X≥0…

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Q: Find the inverse Laplace transform of the given function. 7! (s — 5)8 NOTE: Express your answer in…

A: The give Laplace transform is Fs=7!s-58

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: We know that for a position vector  rt = xt, yt, zt, velocity  vt = r't = x't, y't, z't speed  st =…

Q: 11. Find L-¹ {F (S)} for each function: (a) s²F (s) + SF (s) — 6F (s) = (b) F (s) = (c) F (s): s 1…

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Q: Find the arc length of the graph of the function over the inc = √y(y - 3), 1 ≤ y ≤ 25 3 X

A: Arc length formula L=∫ab1+x'2dy

Q: A graphing calculator is recommended. Use a calculator to graph the function. 6 X+1 + 1 f(x) = from…

A: The graph of the given area is given by,

Q: Find the logistic equation that satisfies the initial condition. dy 11y y² (0, 44) dt 20 1440 Use…

A: The logistic equation that satisfies the initial condition. dydt=11y20-y21440, 0,44

Q: Using the given graph of the function f, find the following (a) the intercepts, if any (b) its…

A: Given graph:-   To find:- Using the given graph of the function f, find the following(a) the…

Q: d parametric equations for the following curve. Include an interval for the parameter values. e path…

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Q: O Begin with the graph of y=e. Use transformations to graph the function below. Then determine its…

A: use the property of scaling shifting time to find the graph using this curve find  domain range…

Q: Find curl (4zi + 5x j + 6yk). url(4zi + 5x j + 6y k) = (i )i + (i )j + ( i

A: Topic:- vector algebra

Q: Use a definite integral to find the area under the curve between the given x-values. -33 from x1 to…

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: Find the direction of . The temperature at the point (x, y) on a metal plate is 7- greatest increase…

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Q: Find the absolute maxinum and minimum values of the function over the indicated interval, and…

A: Here, the given function is: f(x)=8x+3 which is a linear function. So, it has no critical point.…

Q: Find all solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated…

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Q: $9 – 15 = ({¹x) ƒ A ( [9 – 15− − (^ ^x)ƒ ▲O --- ▼f(x,y) -:i-- = (^¨*x)ƒ^ f(x,y) = { 1 O Find Vf(x,…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.)…

A: O

Q: { h=1 (05/30) n+42

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: Given data÷   rt=&lt;etcost,etsint,et&gt; Useful formulas÷   Velocityvt is given by÷ vt=r't Speed is…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: Find the arc length s of the curve y= x2 on the interval  [0,2]

A: The objective of the question is determine the arc length of the given function.

Q: final

A: Please refer to the image below

Q: 35a. Use long division to derive the first four non-zero terms of the Maclaurin Series for f(x) =…

A: The required Maclaurin Series for the function f(x)=tan x are: 1.  sin x=x-x33!+x55!-x77!+x99!-...…

Q: Find a formula for the nth term of the arithmetic sequence. 85 = 170, 10 = 95 an

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Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

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Q: 22. Here is the region of integration of the integral ILS c. dx dy dz e. dz dx dy. (0, -1, 1) (1,-1,…

A: Given data:- Region of integration of the integral ∫01∫-10∫0y2dzdxdy

Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

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Q: Price ($/gal) Demand (million of gal.) 1 790 1.2 700 1.4 640 1.6 580 1.95 497 2.2 450 2.4 430 2.6…

A: NOTE: Refresh your page if you can't see any equations. . you have already found the supply function…

Q: 5. If y = t^2+2 and x = 3t + 4, find dy/dx.

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Q: (3) Since ● d dx In(x)) (4) Recall the integration formula for n-1 (why?) fr" dx = (5) Find the…

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Q: a definite integral to find the area under the curve between the given x-values. 1 VX f(x) = from x…

A: Please refer to the image below

Q: Use the given information to sketch the graph of f. Domain: All real x, except x = -3; lim f(x) =…

A: From the given information: for x∈-∞,3∪(3, 5) , f'(x)&gt;0 limx→-3-f(x)=∞ and limx→-3+f(x)=-∞ The…

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Q: If lim (x,y)→>(a,b) True False f(x, y) L and f is defined at (a, b), then f(a, b) = L.

A: The give statement, If limx,y→a,bfx,y=L and f is defined at a,b, then fa,b=L

Q: Verify the identity. (Simplify at each step.) 3 cos(x + y) cos(x - y) = 3 cos(x) - 3 sin²(y)

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Q: Determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3. 31²,…

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Q: Use the Second Fundamental Theorem of Calculus to find F"(x). F(x)= •Live+sa F(x)= x

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Q: Ive the equation on the interval 0≤0<2 tan 0-√3=0 www. What are the solutions to tan 0-√3=0 in the…

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Q: Answer true or false. If f is not plecewise continuous on [0, 00>), then {f(t)} will not exist. O…

A: Note that, L{f(t)}=F(s)=∫0∞e-stf(t) dt...(1)