answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

Q: 2. Convert (-V3,) to rectangular form.

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A: To evaluate the given intgral.

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A: We need to estimate values.

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A: Here, the curves y=-cos x & y=0 from x=-2π to 2π revolved about the x-axis.

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Q: 1 11. Use the alternate series test to determine if E=1(-1)"+1, converges or diverges.

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Q: 3. Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed…

A: Solution: here we use the range formula

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Q: Ing light is located 10 feet from a wall. The light completes one rotation every 3 seconds. Find the…

A: From the given data: Here, the complete 2π rotation is done in 3 seconds.  So, dθdt=2π3 rad/sec

Q: Find y subject to the given conditions. y"= 12x, y"(0) = 14, y'(0) = 4, and y(0) = 4

A: To find y subject to given conditions.

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A: We will find the function.

Q: Solve the system, or show that it has no = is any real number.) +X- -y = 5

A: Given system of equation 34x+12y=5     . . (1) -14x-32y=1   .. (2)

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A: We need to find rate of change of area.

Q: Find the sum of this arithmetic series. 6. 2 (5)- 1) j= 1 6 E (5j – 1) = j = 1 (Simplify your…

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Q: Evaluate the following definite integral using the Fundamental Theorem of Calculus. 216 125 216…

A: To find the given definite integral using fundamental theorem of calculus.

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A: The system has NO SOLUTION. see below the explanation

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Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: Find the indefinite integral. Hint: Let u = 3 - Vx. (Remember the constant of integration. Remember…

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Q: Evaluate the following expressions. 12 6. a. Σk b. Σ ( 3k+ 2 ) d Σ (2+) с. k= 1 k = 1 n = 1 8 4 5m…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration x3. x2 + 37 dx

A: Given query is to find the value of the integral.

Q: Find the distance from the point S(1, 1, 5) to the line L: x = 1 + t, y = 3 – t, z = 2t.

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Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Find the…

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Q: Solve the following equation in the complex variable z: |z|2 = 12 − |z| and draw the result on the…

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Q: 1. A loan charges in BDO Bank 12.5% simple interest for 4 year, 80,000 Pesos? A. Compute for the…

A: We have to find the total interest of the loan and the total amount that must be paid.

Q: 3) Find the sum of the first 12 terms of the geometric sequence -3,-6,-12, -24, ..

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Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: 3 Find the arclength of the curve x = 3 t² with 5 <t < 6. I.

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A: We need to find equation of sphere.   NOTE - As per Bartleby's guidelines we can solve only one…

Q: compete Mž uing Values ा. ड 2 12 64 X010.5 511o5

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Q: Ise cylindrical coordinates. Evaluate . x dv, where E is enclosed by the planes z = 0 and z = x + y…

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Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x* 1 g(x) = 4x + 1 (Express numbers in…

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Q: 0Graph the following tu Pune

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A: To find the marginal cost.

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Q: 4 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 The plot above is created with the parametric equations Sæ(t)…

A: From the graph we can see that in horizontal direction the maximum value is 6 so, a=6. From the…

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Q: cot(x) – cot(a) lim where a + na. е. x - a 10 f. lim +- n00

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Q: Find the radius of convergence, R, of the series. (-1)" 2" n = 1 Find the interval, I, of…

A: for radius of convergence of a series  we will calculatelimn→∞an+1an&lt;1  for the series ∑an  and…