Use the change-of-base formula and a calculator to approximate the given logarithm. Round to 4 decimal places. Then check the answer by using the related exponential form. log; (2.06 x 10°)

Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

A: The temperature on a particular summer day between 9:00 am and 10:00 pm is modeled by the following ...

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

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Q: Use the linear approximation (1 + x)k = 1+ kx, as specified. Estimate 1.012.

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

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Q: Re write the equation to form x=g(x)

A: This is a problem of numerical method. For fixed point iteration method we will convert first the eq...

Q: (b) ) п? + 2n n=1

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Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....

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Q: Determine whether the alternating series converges. Σ k + 1 7k + 1 k=1

A: ∑k=1∞(-1)k+1k+17k+1  Above Series is an alternating seriesApply Liebnitz Testlet   ak=k+17k+1      a...

Q: x-8.901 V2.25+X² 2 Find other forms of the equation that are in the form of an equation: X= g (x)

A: we have to change the given equation in the form x=g(x) .

Q: Solve the problem. Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in t...

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Q: Find the derivative. 5+ sec q 5- sec q

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Q: Use sigma notation to write the Taylor series about x = 7 for the function. 1 x + 5

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than ...

Q: Determine whether it is divergent or convergent. Justify. (2n)! E(-1)" 2n+1 n=1

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Q: -Find the equation (standard form) of the circle that passes through the point (6,5) that is centere...

A: topic - equation of a circle

Q: I- dx et Р5+ 4e»

A: Explanation of the answer is as follows

Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2 ...

A:

Q: 3 Prove that if chords of congruent circles substend equal angles at their centres then the chords a...

A: Congruence

Q: A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and...

A: Ans= 2.62 inches/minute. For detail go through the solutions

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x) ...

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Q: what is the square root of  188 what is 100 times 1 regroup 158+888

A: Given; 1) square root of 188. 2)100 Times 1. 3) regroup 158+888.

Q: t11 +1 s(t) = t11 – 1 s'(t) =

A:

Q: e solution of the following Differential Equations 2) y"-16y 0 4) y"-y'-6y=0 6) y" - 2y' + 2y = 0

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Q: 4. Family of curves defined by the equation y = e*+c 5. Family of plane curves defined by the equati...

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Q: I did all steps just need help figuring out “The ball’s velocity at the above time is”

A: Please see the below picture for detailed solution. 

Q: The following function is a company's price function, where p is the price (in dollars) at which qua...

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Q: Calculate the derivative of y with respect to x, if x^4y+4xy^4 =x+y. dy/dx =

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Q: Evaluate the iterated integral. 2 2x 10xyz dz dy dx Jo Jx

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Q: A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 45...

A: Determine the dimensions of the box that will minimize the cost of manufacturing it also find the mi...

Q: The monthly costs for a small company to do business has been increasing over time due in part to in...

A:

Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Mary needs to borrow $10,000. She can borrow the money at 6% simple interest for 5 yr or she can bor...

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Q: Solve the following equation for 0 on the interval [0, 360°). 7V3 cot (0) + 4 = 25 Enter your answer...

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Q: (-1)"3nx" n² – 5 V. Determine the interval of convergence of > n=1

A: This is a problem of series calculation. By using concepts of series we will determine interval of c...

Q: Consider the function f(z) = 2x°- 6r on the interval -3, 3]. Find the average or mean slope of the f...

A: topic - functions and derivatives

Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

Q: r^2theta=sintheta from polar to rectangular

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers u...

A: topic - increasing and decreasing intervals of function

Q: Solve the system of equations for the intersections of the two curves ( 62² + 3y? = 132 l7y? – 2? = ...

A: We can list the coordinate of intersection point as below.

Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: A projectile is fired vertically upward into the air, its position (in feet) above the ground after ...

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

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Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)...

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Q: D. A student attempts to solve the differential equation dy %3D ry' with the initial condition that ...

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Q: (x – 2)? (y – 5)? 1 Given the ellipse 16 Find the center point: (2,5) List the major vertices (separ...

A: Given the ellipse x-229+y-5216=1To find the center point.To list the major vertices.  

Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: Determine if f and g are inverses of each other. (a) f(x)= V -3-2 and 9(x) = (x+2)° + 3 2x +1 g(x) =...

A: