S(-5-2)² +1 if a # Let f(r) = 3x +19 if a = - 6 %3D Calculate the following limits. Enter "DNE" if the limit doe lim f(x) = lim f(x) =

Q: Chain rule and implicit differentiation Suppose that F(r, y, 2) = 0 defines z as a function of z and…

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Q: Trigonometric

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Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

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Q: Using any method, find the value of F. dr if F(x, y) = (8e" + 2ye") i+ (2e" + 8xe") j and C:r(t) =…

A: To find the given line integral.

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

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Q: n(t) 2t2 -7 at the point t 3 is 11. || The slope of the line tangent to True False

A: nt =2t2-7 Or, n't=4t Formula Let, y=f(x) be the curve then the slope of the tangent of the curve…

Q: Q3. A market has the following supply and demand functions of a good. Identify the row with the…

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Q: Y201003 2. b00 Cos07 30 300 Sing Y=0.002 Ysine dr dodø

A: Given

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Using any method, find the value of F. dr if F(1, у) — (бе" + ye")i + (e* + 5xe") j and at C :r(t) =…

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Q: 2 у2 | dxdy 1 у 2.

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Q: 4. The path of a baseball relative to the ground can be modelled by the function dlt) = – f² + 8t +…

A: derivative

Q: АВ C D E F This is a graph of f'(x), the derivative of f(x)

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Q: Suppose f(5) = 9 and f'(5) = - 3. An object moves along the curve y – 3x? f(x) – 5x = 649. For an…

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Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: Klara is building a fence in her backyard. The sides of the fence will form a right triangle with…

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Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Find the arc length L of the graph of r(t). r(1) = t³ i+ t j+V6r? k, 2 <t< 5 k, 2 <t < 5 L = i

A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

Q: H.W: Which of the sequences {a,„} converge and which diverge: 7 1. a, = 2+ (0.1)" 2. а, n

A: A sequence &lt;an&gt; is converges if limn→∞ an is finite and exists.

Q: 1. Describe the graph of the equation: x2 – 5y2 – 4x – 10y – 46 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the arc length of the parametric curve. x = e', y = e, = V2t; 0<t< 2 L

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Q: if x 2 a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)…

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Q: x + 21 x + 1] 4 2. Find x and B, if B is symmetric. %3D

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find a power series solution around xo = 0 for y" – xy = 0

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Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: The distance a biker has traveled after t seconds can be modeled by f(t) feet and f(50) = 64. f'(t)…

A: f'(t) &gt; 0 imply function increase with time.  f"(t)&lt; 0 imply function is concave downward

Q: H.W: Use the comparison test to determine the following series converge or diverge: 1 3" +5 n=1

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can solve as follows

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: 1+9n² - b) Determine whether the sequence a, =. converges or diverges. If it converges, 1+n find the…

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Q: A in terms 2A Suppose A E Mn (R)and B. Find the eigenvalues of B %3D of the eigenvalues of A.

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Q: Find absolute maximum & absolute minimum f define on C0, 2]

A: maxima minima

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and…

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Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

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Q: Q5. Which of these statements is False А. (а?)3 — а6 в. а?а? — а 5 2.3 a a2 С. a3 = a¬1 D. a + a' =…

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Q: dx 6x + x2

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Q: Find the domain of r(t) and the value of r(to). NOTE: Roumd your answer to two decimal places when…

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Q: 5. You are not allowed to use the graphing calculator For the given equation f(x) = x³ – 6x2 +9x- 2…

A: Only 5 solved... According to given   F(x)=x3-6x2+9x-2

Q: 3. Suppose that the revenue in selling x tables is equal to 200x – 0.25x2 dollars, and producing a…

A: Suppose that the revenue in selling x tables is equal to 200x-0.25x2 dollars, and producing a table…

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x – z)i+ (y – x)j+ (z – y)k - across…

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Q: A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and…

A: Let 'x' be the number of  children's and 'y' be the number of adults. Now x≥0 and y≥0 since the…

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: 6x 60. Find all local extreme values of f(x) The FIRST local extreme value, moving from left to…

A: Given that a function and we find the value of extreme local maxima and local minima.     Here i…

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: B) Determine the net area for y on the interval %3D

A: Here is the solution:

Q: 10. Using the graph below of the function f(x), identify the approximate interval(s) where the first…

A: Given that,

Q: Differentiate h(t) = 54ª %3D

A: Solution of given question is written in below steps.

Q: Determine whether F(x, y) = 2x²y i+ 8xy' j is a conservative vector field. If so, find a potential…

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