1. lim 32-3 +5 2. lim log, (x-8x 1) 3. lim (In 2x +5) + 4 Write your final answer using 4 decimals

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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A: Topic:- application of calculus

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A: The position s of a point in meters,   s=73t2-1t; t=1

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A: Integral

Q: 14) Test the secies for convergane divergence or 2. (-1)"

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown in the figure…

A: The Cosine rule; a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=b2+a2-2abcosC Given; a=850 ft, b=960 ft, C=75°

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Q: Find the definite integral using its geometric interpretation. Sketch the graph of the integrand. S"…

A: We have to find the value of the given integral.

Q: hi

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Q: A Moving to another question will save this response. tion 7 /2 Given f(x) = sin(x2) on [0, n/2],…

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A: We can solve as follows

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Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

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Q: Q2/ Solve the Higher order differential Equations. (. d*y 16y = 0 2-

A: Here we have to solve higher order differential equation.

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Q: 6. For the series E-13 * )", a. Find the first two partial sums si and s2 b. Does the series…

A: 6) ∑n=1∞314n  a.  partial sum S1=3(14)=34=0.75      partial sum S2=3(14)+3(14)2…

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

Q: A forest fire covers 1600 acres at timet = 0. The fire is growing at a rate of 2/t acres per hour,…

A: How many acres are covered 20 hours later ?

Q: 2.) Suppose E is the solid which is inside the sphere x + y² + z° = 4_and above the plane z = v3 .…

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Q: Solve triangle ABC if ZA = a = 37.1°, b = 11.5 ft, and c = 13.6 ft. Using the Law of Cosines, ft.…

A: Using law of cosines;a2=b2+c2-2bc cosαa2=11.52+13.62-2(11.5*13.6)cos37.1a2=67.72575a=8.229a ~ 8.23…

Q: Based on census data, the population of Freedonia is modeled by the function P(t) = 309t + 37559…

A: Given query is to find the year when rate of change of population is 1236 people per year.

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Q: Evaluate the sum: 2k), for n=21. k = 1

A: We can find the answer as below.

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A: Given the query is to find the arc length.

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A: topic - functions

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Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h - 1 h→0 (Express numbers in…

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Q: Use Newton's method to approximate the solution to the equation 4 = x+ 2. Use xo = -1 as your…

A: This question can be solved using the concept of methods of approximation of roots.

Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

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Q: Let f be a function defined by f(x) = In(2x? + 1) and let g be a function defined by g(x) = 2x4 -…

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Q: 21. A subway train travels from one station to the next in 2 min. Its distance, in kilometres, from…

A: Given the query is to find the the time when velocity will be 0.5 km/min.

Q: dz. x + 2 Evaluate -1

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Determine the true statement (A) not a function. (B) function; domain: {-3, -3, -1, 0, 1, 2} (C)…

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Q: t) Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

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Q: (3) (E) - (a) - () 2. 2. 는 (v) 1 1 1. (B) 1 1 = xP (x)fj fx+1 for x<0, 9. Given f(x)= cos nx for…

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Q: Frod the averuge vearlue of the durndkam f over Shoe lad eraual [q,9]

A: Solve it

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Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: Find the determinant of the matrix. a. 8 4 b. 7 5

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Q: 5. (5 + j2)5+j2

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Q: Start with a square of area 1 square foot. Use the Sierpinski square design where the original…

A: We have to find that after round 5, how many squares are there, what is the area of this fractal.

Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

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Q: Which of the following are vertical asymptotes of the function f (x) 5æ(x+2) a(x² –4)(2a+1)(x+3) ?…

A: See below the answer and explanation As per bertleby guidelines I have to solve only first question.…

Q: kindly solve for uts derivative. ty and show complete solution. Pls answer asap

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Q: Question Given the function of f(x) = -7x2 -7 on the interval [0, 25], find arpoint c between 0 and…

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Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: Find a parameterization of the portion of the circular cylinder y +z´ = 16 between the planes x = 0…

A: We have to find the parametrization of the cylinder.