Find the center and radius of the sphere given by the equation x^2 + y^2 + z^2 + 4x − 6z + 4 = 0. What is the highest (on z scale) point on this sphere?

Q: ordinates of the centroid of the region bounded by y=x and y = 4. The region by a thin, flat plate.…

A: We will find the required.

Q: Which of the following statements are true? 1 1 ies (2) converges. + n=0 Statement A: The series…

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Q: Determine the unit 1 lim z+5 (-5)²

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Q: Evaluate the definite integral. S e³t i i+e¹j+t k dt k) di e³ - 0²²=1 - (0²-1) + ・(e-1 3…

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Q: I 4х6 dx

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Q: |A|- of A + B. 17. A = 1. B = 7 and the angle formed by A and B is 120°. Determine A+ 4 A A+B and…

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Q: S B. C. C D se the best estimate for the central angle in radians. A. 12/27 1.3 6 B 90 π 3.76 5 / π…

A: Measuring angle with protector

Q: Use a triple integral to find the volume of the region bounded by 2 = 5x + 8y, z = 9, and the planes…

A: The given problem is solved below in detail.

Q: A box of fixed volume, V, has a square base with side length, x. (a) Write a formula for the height,…

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Q: Determine the period of the following graph. y 8 6 4 2 0 -2. -4 X → 120/240 360 480°600°/20° period…

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Q: Q11. The DE (xy² + x − 2y + 3)dx − x²ydy = 2(x + y)dy, y(1) = 1 when express in terms of Mdx + Ndy =…

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Q: The function f(x) = 2x³ - 36x² + 192x + 5 has one local minimum and one local maximum. This function…

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Q: You are given the following functions. (I) y = x²-5 x² +5 (II) y = x² +5 ²-5 (III) y = 5 x² +5

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Q: Fill in the missing numbers of the sequence generated by Euclid's algorithm on inputs 70 and 15.…

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Q: (c) Form the profit function from the cost and revenue functions (in dollars). P(x) = Find the…

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Q: Question 3 How large should n be to guarantee that the Trapezoidal Rule approximation to +20x³ -…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 8 If f.°³ F(x ³ f.° 9(x. f(x) dx = 39 and 8 d fº[31 g(x) dx = 16, find [3f(x) + 5g(x)] dx.

A: NOTE: Refresh your page if you can't see any equations. . here we have ∫08fxdx=39 ∫08gxdx=16

Q: (g) dy dx =k-ry, y(0) = k 2r' where r, k>0

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Q: 80 S...² PLpdz' 4π€ (p² +2¹2)3/2

A: Given Integral:- ∫-∞∞ρLρdz'4π∈0ρ2+z'232

Q: write the expression as a sum, difference, or product of logs.

A: The expression is given as ln(14k).

Q: 3. A biologist is studying the growth of bacteria cells in a culture. She begins with 10 cells of…

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Q: Which function dominates the other as x→∞o? (See page 46 in the text.) O 12(2x) O 95000x13

A: We have to examine which function more dominates as x towards infinite.

Q: Find points of inflection & intervals of concavity. y = ln(4x - x3)

A: To find the points of inflection and intervals of concavity. y=ln4x-x3

Q: A manufacturer can produce 4860 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Find a b. |a| = 3, |b| = 6, the angle between a and b is 30°. Need Help? Read It

A: Given: |a|=3, |b|=6, the angle between a and b is 30°.

Q: 54 4 x + 3 X 2 X dx =

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Q: Find the Maclaurin series of cos cos (x³) n=0

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Q: +9 J4 (12x² - 8x+10) dx

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Q: Q7. The equation of P(y) in Q6 i.e. 2ydx + x(x² ln y − 1)dy = 0 is a) Option 1 1 2y c) - 1 y Option…

A: Let's find p(y).

Q: 7. Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through 300°?…

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Q: || д хр -XS - 7

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find all the values of x (x - 10)" 10 n=1 The series is convergen from x = > le

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Q: 4. The graphs of f and g are given. a. State the values of ƒ(−4) and g(3). b. For what values of x…

A: The graph of the functions fx and gx are given, we have to find the given values.

Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i + 5 sin(t)j + tk; t = T() N = = -5 i √26 + k…

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Q: Use the graph to find the following limits and function value. a. lim f(x) _0---x b. lim f(x) X-0*…

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Q: y = x², x = y²; about y = 1

A: Given curves Equations:- y2=x and y=x2  To find:- volume of the solid obtained by rotating the…

Q: latitude, in S, increases. There are 34 species at I cies at 44°S.¹ Find a formula for the number,…

A: Given: There are 34 species at 11 degree S. There are 26 species at 44 degrees S. Let, N represents…

Q: k(a + b) = kā + kb conveys which property of vectors? a. commutative property of addition b.…

A: To determine the name of property conveyed by ka→+b→=ka→+kb→.

Q: (a) If f is an even function and g is an odd function, prove that fog+g²(x)f(x) is an even function.

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

Q: S (2x-7)dx 2 9-8x - x

A: INTRODUCTION The instantaneous rate of change of a function at a certain position is given by the…

Q: Q4. The integrating factor I. F. in Q1 i.e. y' = 1 + 3y tan x is a) -3 tan x O Option 1 c) cos³x…

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Q: Q3. The equation of Q(x) in Q1 i.e. y' = 1 + 3y tanx is a) 1 Option 1 Option 3 c) 3 Option 2 b) −1…

A: Given a linear differential equation

Q: r(x) = 3 ln(1.6)(1.6x); r(x) = 9.5, r(x) = 25 What is r(x) = 9.5? What is r(x) = 25?

A: r(x) = 3 ln((1.6)(1.6)x) Part (1) if r(x) = 9.5 9.5 = 3 ln((1.6)(1.6)x)ln((1.6)(1.6)x) = 9.53 =…

Q: Which one of the following correctly finds the Taylor Series and the Interval of Convergence about…

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Q: A rising river. The measurement of snowfall in the mountains allows city planners to model the…

A: Given: where D is the depth in feet. t is the time in days since January 1.

Q: n electric utility company determines the monthly bill for a residential customer by adding an…

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Q: Vector D represents: a. 14 b. A A + B A - B B C. d. tota C+B A +C

A: vector (D⇀)=A⇀+B⇀

Q: For the equation y=-sin 2(x-2)-1 -1 determine the amplitude: a) 1 b) 2 c)-2 d) -1 c) 0

A: NOTE: Refresh your page if you can't see any equations. . y=-sin2x-π2-1 here coefficient of the sine…

Q: Which one of the following is equal to fcot (-70) do? - ln | sin(-70)| + c -csc² (-10)+c -In |…

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