33. ✔1001

Q: Answer: Find the interval of convergence of Note: Give your answer in interval notation ………………………...…

A: The power series ∑n=0∞cnx-an converges if x-a<R where R denotes radius of convergence such that…

Q: Let r(t) = Find '(t) F' (t) =<

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Q: A norman window has the shape of a rectangle surmounted by 2 Semicircle, Find the dimensions of a…

A: The amount of the light will be maximum when the area of the window is maximum. Let 2x be the width…

Q: #3 Find cartesian ² (05 (20)=1 equation fox curve (X) Enit!

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Q: Find the radius of convergence for the following series O O R = ∞ O R=8 R=-5 O R = 2 R=0 (4x - 5)"…

A: ∑n=1∞4x-5n8nn+234

Q: it says the maximum isn't -634 and the minimum isn't 63 should I switch them ?

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Q: Explain why the restriction n - 1 is necessary in the rule Choose the correct answer below. O O A.…

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Q: Find the linearization L(x) of the function at a. f(x) = x² + + 4x², a = 1 L(x) =

A: The given function fx=x4+4x2. We have to find the linearization of fx at a=1.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

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Q: 1. Alex finds that the demand for their lemonade is given by x = 2/p where p is price per cup and x…

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Q: Average Speed of a Vehicle The average speed of a vehicle on a stretch of Route 134 between 6 A.M.…

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Q: A spherical snowball is melting. If its volume is decreasing by 450m cubic centimeters per hour when…

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Q: Consider the following graph. y N 3 1 2 3 4 5 6 -5 -4 (a) Find the interval(s) on which is…

A: from the definition of inflection point , we will find its coordinates .

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: Find a unit vector in the direction in which f(x, y, z) = 2 y² increases most rapidly at P(1,2,-2),…

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Q: A trough is 7 meters long, 2 meters wide, and 1 meters deep. The vertical cross-section of the…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −4.8,…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. (Round your…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³9x² -…

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Q: Find the gradient of f at the indicated point. f(x, y) = 4 sin x² + cos 3y; (VF,0) NOTE: Give your…

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Q: 1. Express the triple integral ſſſ ƒ(x, y, z)dV as an iterated integral. E 2. Evaluate the iterated…

A: we have, x2+y2+z2=8  and z=x2+y2      z=2 x2+y2+z2=ρ2 8=ρ2 ρ=22 here,  0≤ρ≤22 and  z=ρcosϕ…

Q: Evaluate the function as indicated. 91 (P₁, P₂) 91(30, 25) = = P₁+6P2; find 9₁(30, 25). P1 - P₂

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Q: Suppose that f(x, y) = 1 at which {(x, y) | -4 ≤ x, y ≤ 4}. Q Then the double integral of f(x, y)…

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Q: Use a linear approximation (or differentials) to estimate the given number. (Use the linearization…

A: We have given the number 1/99. Since 100 is near integer of the value 99, choose the value a = 100…

Q: (c) J xe0.4x (0.4x + 1)2 d dx

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Q: A rescued whale is released into the ocean 400 meters due east of a coast guard station. The whale…

A: I am attaching an image so that you understand each and every step.

Q: Let F(t) = For F(t) in figure 14 below, determine whether each component of '(5) is +, -, or 0.

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Q: 4. Determine the angle between vectors p = [- 3, 4, - 12] and q = [− 6, 0, 8]. MacBook Air ! F6 B

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Q: Use elimination to solve the system of equations. Identify the system as consistent or inconsistent.…

A: Given: System of equation is:5x+y=-207x-3y=-50   We are required to find: a. Solution of the system…

Q: Explain the difference between an indefinite integral and a definite integral. Choose the best…

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Q: B. Given the system of equations - 1.1x₁ + 10x₂ - 120 -2x₁ + 17.4x₂ = 174 (a) Solve graphically and…

A: Given system of equation-1.1x1+10x2=120-2x1+17.4x2=174we have to solve to system of equation by…

Q: 5. Write an integral representing the volume of the region above the paraboloid z = x² + y² and…

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Q: -6 -2 TH -4 -6- 24 6 a. For which values of x is ƒ' (x) zero? Positive? Negative? What do these…

A: According to the company policy we can attempt only first three subparts so please upload the next…

Q: (a) Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of…

A: Consider a rectangle of length L inches and width W inches Find a formula for the perimeter of the…

Q: (a) Consider a circular oil slick that forms on the surface of a large lake. When the radius of the…

A: Let the radius of circular oil slick=r mArea of circular oil slick =πr2

Q: Convert the rectangular equation to polar form and sketch its graph. x2 − y2 = 4

A: Given: x2-y2=4 for converting given equation in polar form we put x=rcosθy=rsinθ

Q: x ck Examples 3 and and o.j 26. y 1 X

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

Q: Values of a function V(t) are given in table. t 2 5 8 11 14 17 V(t) 0 31 23 17 8 6 Answer the…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: The sum of two non-negative numbers X and Y is 24. Determine the values of X and Y that minimize the…

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Q: ·X= 36. A rectangular tank with a square base, an open top, and a volume of 108 ft³ is to be…

A: 36) Given that a rectangular tank with square base.  whose volume is given that is V=108 ft³  Also,…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Find the volume of the region under the surface z corners (0, 0, 0), (5, 0, 0) and (5, 5, 0). 8 1+x²…

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Q: 4. Evaluate: [[[yz dv where E is the region that lies above the xy-plane, below the plane y = z and…

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Q: 3. Find sin² (0) + cos² (0). Hint: you will need to find the hypotenuse length first (Pythagoras). 1…

A: according to bartleby guide line we do only first part of multiple questions   we know…

Q: Find the second derivative of the given function. f(n) = e8n-n4-1 f "(n) =

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Q: Solve the system of equations using Gaussian or Gauss-Jordan elimination. -x + y + z = -2 -x+ 5y-7z=…

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Q: The volume V of a right circular cylinder of radius 1 and height his V = r²h.

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Q: 12/23 A book designer has decided that the pages of a book should have 1 in. margins at the top and…

A: Let printed area = A  so for the maximum printed area  either dAdx = 0  or  dAdy = 0 and  d2Adx2&lt;…

Q: Set up but do not evaluate the triple integral 2 JB E exy dV where E is the solid

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