Consider a cube of side 15 units. If its side increases by 1.0 units, estimate the new volume of the cube using differentials

Q: Suppose that an+1 an →1 as n →→∞o. Find the radius of convergence. ∞ n=1 anxn 4"

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Q: Use Green's Theorem to evaluate F * = (√x + 5y, 3x +. F. dr, where and C consists of the arc of the…

A: We have to evaluate the integral using greens theorem

Q: Find the sum of the infinite geometric series. 1 1 1+=+=+=+... 2 4 8 1 1 1 1 1+-+-+ 2 4 8 + ... =…

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Q: (b) An arc of length 14 in is on a circle of radius 7 in. Find the central angle in radians AND…

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Q: Use a linear approximation to estimate 1.999^4 Because 1.999 is close to 2, let's find the…

A: To use linear approximation to find the value of given expression

Q: Find the 55th derivative of (1 + x²) 28 at x = 0.

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Q: 2. Consider a toy of density p(x, y, z) = z given by the region bounded by the paraboloid z = x² +…

A: Let's find mass of toy.

Q: The Taylor series for f(x) = x³ at -3 is Σ c₂(x + 3)". n=0 Find the first few coefficients. CO C1 C2…

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Q: f(x)=2x^2

A: given function is f(x) = 2x2+9x+92x2-5x+3   then finding following :--   (1)  finding y - intercept…

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Q: DQ : Consider the function f(x) = 4x²- of provide the the graph x-axis • use n = 5 intervals gives…

A: Let's find Riemann left and right endpoints sum.

Q: 1) A particle moves in a velocity field (2xy + 10, **) starting from point (0, 1) at t = 1. Where…

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Q: Evaluate the integral (use exact values): -4 22³-5x²+1 dx

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Q: G(x) = 2 sin(3x + tan(x))

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Q: Evaluate the definite integral. 6 [²³( 3²/² - -/- ) ** dx

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Q: Evaluate the following indefinite integral. et 1-1+ di dt 1 + et Note: Don't forget your C! And be…

A: Evaulate the integral

Q: If the operation is undefined, enter NA. Hint: To create a matrix in Mobius, click on the icon that…

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Q: 3A using Find the approximate value of differentials if A = 29.5. Round off the final answer to five…

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Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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Q: 1. (i) Obtain the differential equation in the form Mdx + Ndy = 0 for that has a solution of the…

A: We can find the differential equation of the given family of curves by eliminating the constant a .

Q: a₁ a2 a3 a4 a5 a6 a₁ = 500, d = 20 = II = = the iST SIX = the an quence with the given stem, a₁, On…

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Q: The nth term of a sequence is given. n-1 -2-(--/-)² - ¹ an = (a) Find the first five terms of the…

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Q: December 10, 2022 at 1:45 PM A formula for the relationship between weight and blood pressure in…

A: Given:- P(x) =13.7(6+ln(x))  P(x) is measured in millimeters of mercury and x is measured in pounds

Q: 1 x² - 4x +3 2 X Critical points at .x=0, x= 1, x=2, and x = 3 Critical points at x = 1, x=2, and x…

A: this is question of algebra  here we have to find the critical point of curve function  further…

Q: Find the area under the curve f(x) = -x² + 4x over [0,3] using the limit definition and the right…

A: We have to find the area under the curve.

Q: mizing Construction Costs An open rectangular box is to have a volume of 768 ft³. If the material…

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Q: x2 + y2 + z2 - 2x + 6y - 8z = -1 The equation is a sphere what are the first,second third…

A: given that ,  equation of a sphere is      x2+y2+z2-2x+6y-8z=-1then we have to find centre of sphere…

Q: Find the surface area of the part of the sphere x² + y² + z² = 64 that lies above the cone z = √√x²…

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Q: Solve the given differential equation. dy=8x√16-y2 A) y = 4 sin (4x² + C) B) y = 4 sin¹ (4x² + C)…

A: dydx=8x16-y2

Q: Give a possible formula of minimum degree for the polynomial f(x) displayed in the figure to the…

A: To determine the formula for the polynomial whose graph is given.

Q: An equilateral triangle has an area of 4√3 cm². What is the length of each of its sides?

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Q: A cylinder is leaking water at an unknown rate. The cylinder has a height of 4 meters and a radius…

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: We find the slope and equation of the line.

Q: Find the height of the right circular cone of largest volume inscribed in a sphere of radius 38.

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Q: 3x - 4y + 2z = -13 2x + 4y + z = 17 2x + 3y + 5z = 25 Enter the exact answer as an ordered triple,…

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Q: A company produces two types of solar panels per​ year: x thousand of type A and y thousand of type…

A: Given revenue function R(x,y)=5x+7ycost function C(x,y)=x2−4xy+8y2+3x+3y−9let profit function = P(…

Q: Solve the given differential equation. e5x -5ydx-dy = 0

A: e5x-5ydx-dy=0 this can be written as  e5xdx = e5ydy now apply integration both side we get ∫e5xdx =…

Q: 245 students enrolled in a freshman-level chemistry class. By the end of the semester, 6 times the…

A: Let the number of students which failed be x.

Q: $1₁² f(x) dx = -3₁ ["* fo If 1. [² f(x) dx = 2 /*18(x) + 2] dx = f(x) dx = 10, and [8(x) g(x) dx =…

A: If ∫-24fx dx=-3, ∫24fx dx=10, and ∫-24gx dx=8, then to find the following integrals.1 ∫-22fx dx=?2…

Q: Find the slope of the parametric curve x = -3t² +8, y = 6t3, for-co<t<∞o, at the point corresponding…

A: slope is  =dydxand we know that  dydx=dydtdxdtdtndt=ntn-1,   and   dconstantdt=0

Q: x + a x+b It will be decreasing all throughout its domain if b> a. It will be increasing for x- b.…

A: Given function: fx=x+ax+b

Q: 1. 2 a) Rewrite the summation without using sigma notation. [+(2+4)*-32] b) Find the following:…

A: Please see the below pictures for detailed solution.

Q: f(x, y) = ln(36x + 5y) + 6x² - 5y Local maxima are Local minima are Saddle points are

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Q: We are interested in the first few Taylor Polynomials for the function f(x) 7e² +2e= centered at a =…

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Q: 6. Use the graphs of f and g to find the function values: 4 3 2 2 (a) (f + g)(4) f(x) 3 3 2 1 (b)…

A: Given:

Q: (c) Triangle ABC has a = 7 in; b = 8 in and c = 10 in. Solve for cosA. Answer: cos(4)- 23/32

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Q: A right conical tank with the point oriented down, a height of 17 feet, and a radius of 5 feet has…

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Q: Given its bounds: z = 4 - y2, z = 0, x = 0, and x = y, find the volume of the solid using integrals.

A: The given curves are: z=4-y2,    z=0,   x=0  and  x=y

Q: Suppose a population P of rabbits satisfies the differential equation (dp/dt) = k p², for a constant…

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Q: Linear Differential Equations. Find the general solution. (2x+3)y'=y+√(2x+3)

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with so here we have