Use polar coordinates to find the volume of the given solid. Inside the sphere x² + y² + z² = 36 and outside the cylinder x² + y² Need Help? Read It

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: In this question we can find two paths .

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Q: FInd the tangential and normal components of the acceleration. r(t) = (t²-9)i + (²t - 4)i + 10%

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Q: Find the curvature of the curve r(t) = (3t, - 3t³, 2+¹) at the point t = 1. Give your answer to 2…

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Q: 49. ff(x, y) dy dx 51-56 Evaluate the integral by 115 51. dx dy ff., ex² ai m

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: 1. Explain why log, 1=0. Hint: Use exponentials!

A: To prove log_a(1)=0

Q: . Determine the corresponding Cartesian equation. [ L1: = [4,-3, 5] + t[2, 0,3], t € R and L2: 7 =…

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Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

A: To find out the maximum monthly profit.

Q: Evaluate Σ n=1 2 2 n' +4n+3

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Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= x^2/4 +…

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Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x² + xy +…

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Q: Find the X-intercept point and the Y - intercept point of the line 24x12y +36=0 D Y-intercept point…

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Q: Use finite approximation to estimate the area under the graph of f(x) = 9x² and above the graph of…

A: fx=9x2

Q: Use 6 rectangles to find estimates of each type for the following graph of f from x = 0 to x = 12.…

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Q: 2. Find the area of the shaded region. a. y=e² 2=1

A: Area

Q: Compute y' for y= y's Ⓒy'= x²-3 √√x + 2x 4x (x²+2x) - (x²-3) (4x²+2) 2(x²+2x)√x²+2x B y'=. 2x…

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Q: Use the following definition of integrals to find an expression for the area under the graph of f as…

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Q: For the function f(x) =−x² + 5x + 9, find the slope of the secant line between X = 2 and x = 4.

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Q: a. Find the open intervals on which the function is increasing and those on which it is decreasing.…

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Q: -4 f(x) dx = 1 लेखा 3 -2 -1 - f(x) dx = 2 f(x) (a) Use the figure above to find the value of the…

A: Solving the following subparts

Q: woman drives 10 miles, accelerating uniformly from rest to 60 mph. a) Graph her velocity versus…

A: The formula for the acceleration is rate of change of velocity, ie. a=vf-vit

Q: FInd the tangential and normal components of the acceleration. r(t) >= [10sm &t+3] ₁ + [10 cost-2]j…

A: We have differentiate given vector to find velocity vector and again differentiate to find…

Q: 7. Evaluate the following limits: lim √√4+√√25+xbow x→0 a) 2 + √5 b) 3 8. The incorrect vector…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

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Q: If f(t) is measured in meters/second2 and t is measured in seconds, what are the units of $fº…

A: Application of integration

Q: (2, 77,4) expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (r,…

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Q: log (u)=y-log, (v) loga (v)=y-log (u) Now let us change each logarithm into an exponential. This…

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Q: QUOTIENT PROPERTY log, (u)-log, (v) = loga

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Q: Find the x - value of all points where the functions defined as follows have any relative extrema.…

A: Find the x-value of all points where the functions defined as follows have any relative extrema.…

Q: 22. Determine the value of k for which the direction vectors of the lines x+3 Z -2 = 1' y = -1 are…

A: Straight line in three dimension

Q: Convert the point (x, y, z) = (-5, -2, -3) to cylindrical coordinates. Give answers as positive…

A: Geometry As per guidelines, at a time only one question will be answered. Repost other questions…

Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

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Q: 5. Sketch the region enclosed by the given curves and find the area of the region. a.y= 2² and y =…

A: (a)

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A: Application of integration

Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) 2π −3 csc²(x) dx. π If the…

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Q: Solve the problem. Find the equation for the tangent plane to the surface -3x - Sy-9z=-13 at the…

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Q: ở giá 523 x--1x4+x²-3x²-3x 2. Evaluate: lim a. 1 b. 0 C. 2 d. 80

A: Evaluate limx-> -1 (x3 - x2 -5x - 3) / ( x4 + x3 - 3x2 - 3x) = ?

Q: POWER PROPERTY log, (u)" =nlog (u)

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Q: Find the limit. lim (x, y) -(1, 1) 00 -In 2 In 2 O No limit +V xy

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Problem #2: Evaluate the following by changing to polar coordinates. 100-: - 1² Problem #2: Í L…

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Q: Find the area of the surface. The part of the plane 3x + 2y + z = 6 that lies in the first octant

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: For the function f(x) shown below, determine lim f(x). x→4 f(x) = 1 + x 10- x² for for x > 4 x < 4

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Q: 9-x² x-3 3-x b) 3 11. Evaluate the following limit: lim a) Undefined c) 6 12. Determine the slope of…

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Q: This question concerns the following exercise. Exercise Prove that the limit e sin(3x) 20 giả –sinh…

A: Limit and continuity

Q: Find the equation of the tangent plane to the surface z = e −2x/17 In (4y) at the point (3, 1, 0.9

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Q: T Find the average value of the function f(p, 0, 0) = pcos over the solid upper ball p≤1, 0≤ ≤ 2.…

A: fρ,ϕ,θ=ρcosϕ

Q: e the alternating series test to determine whether the series Exercises 24-29 converge or diverge.…

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Q: Calculate Instagram’s maximum revenue at/for the number of companies needed to maximize its total…

A: Instagram has a revenue function of R(q) = 5q 2 − 10q+ 600 and a cost function of C(q) = 3q 2 + 200,…

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

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Q: What does L'a a(t) dt, represent if a(t) is acceleration in km/hr² and t is time in hours? This…

A: in the given form of integration a(t) represent acceleration which also can be written as dvdt.