A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

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Q: (4x+5y=-3 5x+4y=3} x=-3 and y=3 x=3 and y=-3 .B x = -3 and y=-3.0 ( x=3 and y=3 DC Solve this system…

A: we have to find solution

Q: Find [-2,3) n (-1,5) (3,5) .A (-4,-1) BO [-2,5) .CO (-1,3)

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Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

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A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

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Q: (x - 2) is a factor for x2 - 5x + 6. صواب (خطأ

A: For   x-a to be a factor of a quadretic equation then x=a is a solution of the quadretic equation.

Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

Q: 4- XLnx dy dx +y=zLnx

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Q: Simplify 6x4+9x³ – 12x² -3x²

A: Here we have Simplify the 6x4+9x3-12x2-3x2

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Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We have to find the series.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2. An In(n+1)…

A: 2.an=lnn+1-ln n

Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

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Q: 2 √z T Evaluate the integral SSS (² cos ²0 +2²) r de dr dz. 000 ▪▪▪ The value is (Type an exact…

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Q: 4. Given z = x-y x+y Find əz/ax

A: I have appended the formula used in the solution part of the question.

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Q: Evaluate the cylindrical coordinate integral. √2-12 $$"S 9 dz r dr de 0 0 r *** 74 SS S 9 dz r dr…

A: To find the value of given triple integral.

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12². dV…

A: Given query is to find rate of change of volume.

Q: 1. Determine the value of a such that lim 24-2 Hint: Apply one of the Limit Laws. 3x² + ax + a +3…

A: We have to find limit

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Q: O The series Σ7-"[2 +5¹] n=1 converges to none of the choices the above converges to converges to…

A: The above series converges to

Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

A: Here, the work done is given by: W=∫018f(x) dx

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→0+

A: On solving this we will get

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

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Q: Find the interval of convergence for The interval of convergence is a E n=1 (x - 1)" n 3n

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Q: 2. Rainwater accumulates in the ditch as follows: 10 centimeters of water in the 1st second, 15…

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Q: Consider this expression: sin (-9) Reminders: To indicate √√7, then type: sqrt(7). You must type the…

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Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: Given a tank contains 50kg of salt and 2000ltrs of watera solution of the concetration 0.0125kg of…

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Q: The vertical face of a dam has a height of 50 m and width of 600m. What is the total fluid force…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Suppose that R is the finite region bounded by f(x) = 2√x and g(x) = x. Find the exact value of the…

A: The given curves are: fx=2x and gx=x (a). So, the bounded region is as shown below;   Apply the…

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: Given query is to find the height when velocity is 100ft/sec.

Q: The general solution of y" + y = sec³ x

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Q: sider this expression: sin inders: dicate √√7, then type: sqrt(7). You must type the parentheses!…

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Q: 4. Find lim f(x) and lim f(x) for the following functions n→∞0 1118 f(x) = 3x² − 2x + 1 1. f(x) = =…

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Q: 2. (D³6D2 + 12D - 8)y = 0

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Q: The general solution of y" - y = x²ex + 5

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Q: Find the interval of convergence for The interval of convergence is a E n=1 (x − 2)" - n² 2n

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Q: y=-x v-3x³ x32 has starting point A whose x-coordinate is 3. Find the x-coordinate of The curve the…

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Q: The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters,…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

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Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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