dy 3x2 + 2 and dt dx Find 3 if y = – 2. at x - dt dx dt

Q: Evaluate the following integral. x² dx X +6 x2 dx X +6 II

A: topic - indefinite integral

Q: What is the minimum value of p (p>1) for which Q. 19 COS X dx <-? 9. 10 1+x

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Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: 8. Given, h(x) =2 – x and g(x) = -x² + 4 a) Plot the two functions on the same graph for -2 < x <4…

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Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: Find f '(x). f0) = (+4)5 f(x) f '(x)=|

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Q: 57. - (bA-c) a. - (-bA~c) 58.-bnc b.-(-b→-c) 59. - (bvc) c. bA-c d.-(-b c) 60. - bA-c 61. - (b c)…

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Q: sin vn 2n Determine the convergence of the sequence an . If it converges, find lim an. BIU A E EV…

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Q: 1 13 + x xp-

A: We will solve the integration.

Q: (cost -1/2 <x< 0 The funaction f(t) = is %3D sint 0<x<n/2 а) even b) odd c) neither

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Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: (a) At what point do the curves ri = (-4+t, -6 – 2t, 7+ 2t + t2) and r2 = (-5 – 2s, -4 +3s, 6 + s?)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A sphere with radius 1 m has temperature 16°C. It lies inside a concentric sphere with radius 2 m…

A: answer is in next step

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 11th term of the arithmetic sequence. $1264.02, $1946.38, $2628.74, ... a11 = $ (Type an…

A: This is a problem of arithmetic series. Please follow the procedure given below.

Q: 1) Find the explicit formula of an arithmetic sequence with the given property. d = 12, and a6 = 68

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Q: xdy+ydx=xcasx-dx-

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 4) Find the sum =1 an for the geometric sequence an = 10 - 3 %3D

A: The geometric sequence, an=10.3n-1

Q: Evaluate the following integral. 2x +5 dx - 2 Le 2x+5 dx = (Type an exact answer.) - 2

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Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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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: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y and x =…

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Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify o∞…

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Q: Find all critical points of the function f(x) = x³ - x? – 54x + 6. (Use symbolic notation and…

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Use series to estimate the lim m X-1

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Q: For problems 3 & 4 find the arc length function for the given vector function. 3. i (t) = (t² , 2r°,…

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Q: Given a = 2t – Int and y = t² – In t, find the following. A) Determine the derivative in terms of t,…

A: Explained below

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

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

A: We need to find rate of distance changing.

Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: 1. 28 V14 32 2. 3 1 3. 135 3 [(4 + 45 t2) z - 8]

A: First simplify the first and second expression then solve third

Q: Find the linear approximation of f(x) = sin x, for x close to 0

A: The given function is: f(x)=sin x To find the linear approximation of it close to 0.

Q: 8. Find the dimensions of the largest-volume cylinder that can be inscribed in a sphere of radius 10…

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Q: A graph of y = y = f'(x) over the interval [ - 4, 4]. f(x) is shown. In the same coordinate system,…

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Q: X-axis. Consider the points P(3,0, 1), Q(5, –1,2), R(5, 1, – 1), and S(0, 4, 2). (a) Find the area…

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Q: ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: Given query is to find the infection point and interval of concave up and down.

Q: The figure to the right shows the area of regions bounded by the graph of f and the x-axis. Evaluate…

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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: Solve the following differential equation (MANUAL calculations only). dy (x + 1) – 2(x² +x)y =: x >…

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Q: Solve inital Value Problem

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Q: 1. The planes defined by the equations x + 2y – 2z = 3 and 2x + 4y - 4z = 7 are parallel. Find a…

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Q: Determine whether the given function is linearly dependent or linearly independent on the specified…

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Q: 8. Given, h(x) = 2 – x and g(x) = -x²+ 4 a) Plot the two functions on the same graph for -2 < x <4…

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Q: Q.1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y2. Q.2/ Change…

A: Area bounded by the curves :  If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y) on…

Q: Given that lim f(x) = 0 x-a lim g(x) = 0 lim h(x) = 1 xa lim p(x) = 0 lim q(x) = 00, xa evaluate if…

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Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr = 269 – 9q - 1.29 dq…

A: Here, the given marginal revenue function is: drdq=269-9q-1.2q2...(1) where r is the revenue…

Q: 6. Evaluate the iterated integral by first reversing the order of integration. Do not use technology…

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: To find the general solution of given differential equation