(S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without using a calculator. In 23

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1

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Q: Write the first five terms of the sequence: +00 |{Vn² + 2n – n}n=1 Determine whether the sequence co...

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Q: 21-24 Find an equation of the tangent line to the curve at the given point. 21. y sin x + cos x. (0,...

A: we  have to find equation 

Q: 3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1...

A: (a) From given table

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A: Topic = Differentiation

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A: We can find the required acceleration as below.

Q: fit) 구 4- -jo -9 -8 -7 -6 5 4 3 -2 -1 8 9 10 -8 -9 Estimate lim f(t) t→ - 2

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Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 4 Y2 = 2x + 8 dx -2

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Q: 4dt 5t+ 2

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Q: Find the six trigonometric function values of the specified angle. 24

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Q: The value of a particular retirement account is A(t) = 26,200e0.03t dollars after t years. Compute A...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: y = Cje2" + C2e¯®

A: y=C1e2x+C2e-x differentiate with respect to x dydx=2C1e2x+(-1)C2e-xdydx=2(y-C2e-x)-C2e-xdydx=2y-2C2e...

Q: The "Tribonacci" sequence is the sequence defined by To = T1 = T2 =1 and %3D Tn+3 = Tn + Tn+1+Tn+2 f...

A: The ''Tribonacci'' sequence is the sequence defined by,  T0=T1=T2=1 and Tn+3=Tn+Tn+1+Tn+2

Q: Evaluate the integral. Don’t skip any steps.

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Q: A point has rectangular coordinates - 6, – 9). Convert to polar coordinates, with r> 0 and 0 <0 < 2n...

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Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: Sec o

A: The solution is given in the next step.

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

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Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

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Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4&lt;x&lt;0x2-7x+4,          0≤...

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Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

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A: To determine the sum of the following series.71⋅3+72⋅4+73⋅5+ ...  

Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O 1...

A: Given query is to find the area of parallelogram.

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Q: 19) In Problems 19) through 21), given a piecewise function: |(1- tanx)cot x f(x) = 3/ k (x > 0) (x ...

A: Given that:                              

Q: f[x'+zy2,y²2x2], then prove that [y?-zx] (a?-yz] dy [z-xy] du -o. If

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Q: HW/Sketch 2x-1 The graph of FLx) = 3

A: This is an exponential function. 

Q: a² +x – 6 + a |æ – 2| if x 2 - 2| 2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

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Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

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Q: Evaluate the expression. [18 + (-6)](-2) O A. 6 3. О в. Ос. 30 D. -6

A: We know that the BODMAS operation; Bracket  or → order  or x2.. →Division ÷ → Multiplication × → Add...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: For which positive integers k is the following series convergent? Σ (n!)2 (kn)! n = 1

A: We have to find the value of K so that given series converges. 

Q: 1. Refer to the hexagon pattern below. ASsume that each edge of the hexagon measures 1 cm. Assume th...

A: H(n) be the function describing  the perimeter as a function of the shape number.

Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

A: consider the direction ratio of line  contaning the point ( 1, 2 ,1 )  is  l , m, n 

Q: x'y 26. Let f(x, y) = x* + y? %3D (a) Show that f(x, y) → 0 along every line through the origin. (b)...

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Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

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Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find. 

Q: 3. f (а - х)-3dх

A:

Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

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