Complete the sigma notation for this series: 4 + 9 + 14 + . ...+ 294 + 299 n=1 A =

Q: Find the following limit. Answer as a fraction or integer (no decimals.) x +4x- 12 lim x+2 4

A: Solving the problem by finding the value of the limit.

Q: x-1 lim エ→1VX -1

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Q: Bolyng bernoulli differential equation

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Q: x = 2 + 5 cos t Consider the parametric equations for 0<t<r. y = 8 sin t (a) Eliminate the parameter…

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Q: The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t =…

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: The limit lim cos is an indeterminate form of type 0· o. 00. Select one: O True False

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Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: mine the value(s) of x where the slope of the tangent line is horizontal. Use exact valı…

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Q: 2. Evaluate the given line integral, (x – y, y) · dR, where C is the line segment from (0, 1) to…

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Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: "Definite Integrals" 1. sin | COS dr -

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Q: A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t -4t +15t ,…

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Q: A power representation of the function f(r) = for -1<r<1i %3D 1+z Select one: 00 8n n-0

A: Given Rewrite where  a = 1

Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: Find the number(s) b such that the average value of f(x) = 6x? 42x + 70 on the interval (0, 6 is…

A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: The limit lim (x - cos) x00 is an indeterminate form of type 0 . o. Select one: OTrue O False

A: Topic:  Indeterminate form of limit

Q: 1. In the chart below, you are given a formula. Name the formula. Formula Name of the formula/what…

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Q: 2y(x? — у + х)dx — (x2 — 2у) dy %3D 0

A: I think mistake in question inplace of -ve sign.

Q: Determine a.5 tor each of the following i = (7, -3.5)andb = (-5,11. -2) b) a = (-15.13), 5 = (14,…

A: If a→ = a1 , a2 , … , an and b→ = b1 , b2 , … , bn then  a→·b→ = a1b1 + a2b2 + … + anbn

Q: x+729 If k(x) = complete the table and use the results to find lim k(x). X+9 X-9 -9.1 -9.01 -9.001 -…

A: Using L hospital rule find limit

Q: 2+Secx-

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Q: 15 lbs 200 27° 12 lbs What is the approximate magnitude of the resultant.force? A 22.2 pounds. 24.8…

A: using component

Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f) = 21* 20. f(1) = r° 21. f(1) = 41 - 10…

A: Laplace transform

Q: Find all the derivatives of the following functions f (x) = x° + 4.x² + 3x³ – x² + 6 5 1. 1 g(x) :…

A: 1) f(x)=x5+4x4+3x3-x2+6Differentiate…

Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: x+6 lim 2. X6 X -36

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Q: (b) 352+5s+1 (d) 3 (c) 5s+2

A: Given data÷

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) &amp; inclination θ=60To find equation of tangent:

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 3s2+5s+1 (d) 3…

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Q: Find the exact length of the curve y=1+6x% for 0<xsl

A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

Q: An object’s position function, s, in meters, is given by s(t)= -4.9t 2 +13.2t, where t is measured…

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Q: Given the function f(x) = -x* - 4x determine its critical points and classify them, determine the…

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Q: [9]. Suppose that a ball is dropped from an initial height of 300 feet, and subsequently bounces…

A: The initial fall h=300 The first rise &amp; fall 2*.9× 300 The 2nd rise &amp; fall…

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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Q: x-16 x'+8 The function f(x)=D- has derivatives f'(x)= 48 and f"(x)=- 10 (d) Determine the intervals…

A: Given problem:-

Q: 2. Which is the interpretation of the statement lim f(x) =L? i. For all x values close to c, but not…

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Q: Evaluate each limit: x +x-30 a) lim x-3 x-6x+5 3-1-4x b) lim X-2 x+2 x+3 c) lim x→-3 Vx-5+2

A: Limit

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Encounter the critical points of f(x, y) = 16x3 - 9y2 - 36x2 - 12y + 6x - 27 and then denote each…

A: To find out the critical points and denote it's nature.

Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: To determine the equation of the plane passing through the point 1, -4, 3 and parallel to the plane…

Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. do r= 6 e a0 and -= 3 dt Ju, +Juo

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