Express in terms of logarithms without exponents. log(x³y4z)

Q: Find the parametric equation of a line segment with endpoints (1,4) and (5,-2). Find the parametric…

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Q: X 5.8 6.0 -0.9 6.2 f1 (x) Selected values of the derivative of the function f are given in the table…

A: The given tablex5.86.06.26.4f'(x)-0.93.21.9-1.3

Q: Let y = ln(1 + x²). Find the differential dy when x = 1.4 and dx 0.6. = Enter your answer as a…

A: Let .To find the differential  when .

Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the area A of the region that is bounded between the curve f(x) and the curve g(x) sin (x) over…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Evaluate: [8zº · sec² (25) dx =

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Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: Find the arc length for the curve c(t) = (t³ + 1, t² – 3) over the interval 0 ≤ t ≤ 1.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: I For f(x) = x-2 4x+20 (a) f(-6) (6) f(2) (C) f(-5) (a) f(a+3) find

A: The given function is To find:-

Q: Two cylinders are given. The larger cylinder is a dilation of the smaller cylinder. Part A:…

A: Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3

Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A: The given integral is

Q: Determine the integral by making the appropriate substitution. √9(x-1) 9(9x-10)' 'dx

A: To determine the following integral by making the appropriate substitution.

Q: Find the derivative of  f(x)=X4.23x

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Q: The velocity function v(f) (in meters per second) is given for a particle moving along a line.…

A: We have to find the displacement and distance travelled by a particle in the given interval.We will…

Q: Find the derivative of the function. (37) 2 S = sin 3nt 2 - COS

A: Given,

Q: Please answer the below quaestions: If f(x)= g(x)/ x,  and g(x)= x + sinx  ( interval 0, 2π) Find…

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Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: Find the radius R of convergence for the series R = n=1 n! xn nº

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Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fe grad…

A: To find the line integral of a scalar field f(x,y) over a curve C, the general formula is:Segra…

Q: 8. An engineer invests $27,000 in two bonds. If one 7% and the other yields 9%, how much is invested…

A: Let engineer invest $x on one bond which yields and  on another bond which yields

Q: x 1 (a) Sketch the graph off. (b) At which numbers is f discontinuous? (c) At which of these numbers…

A: The given function is .The aim is to find the a) Sketch the graph of the functionb) At which number…

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. M8 Σ…

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population…

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Q: If the velocity of a car is given by v(t) = 90 for all time t ≥ 0, then the position of the car for…

A: The velocity of a car is  for all .The aim is to find the position of the car.

Q: 4. Find the function given by the power series n f(x) = Σ + ²)", x+2 when -7 < x < 3. 5 n=1/

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Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

A: To determine whether the sequence converges or diverges.To find the limit if it converges.

Q: (c) (d) (e) (f) YA -2 0 2 y = f(x) creasing? 4 6 8 x - [*11)dt g(x) = ) Does g(x) have any critical…

A: The graph of the function f(x) is shown as,It also given that,Note:"Since you have posted a question…

Q: 1. Find the area between the two curves. Be sure to show the representative rectangle in the 1st…

A: Given functions are,y=f(x)= 8 cos x and y=g(x)= sec2x

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: To find the volume generated by rotating the region between the curves x=2y2 and x=y2 +4 about the…

Q: Which of the following are solutions to the following differential equation. xy + y = x lnx;_y(1) =…

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: Find the intervals on which the graph off is concave upward, the intervals on which the graph off is…

A: The objective of this question is to find the intervals on which the graph of the function f(x) = -x…

Q: (5) Are there other shapes that would hold the same volume yet have even less surface area? Let's…

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Q: Given y = f(u) and u = g(x), find - (3) ² y=9u-5, u= dy dx = f'(g(x))g'(x).

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 5e" and F(0) = 0.

A: F′(x)=f(x)=5ex and F(0)=0

Q: M8 ηχη n=1 3"

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Q: Question Find the average rate of change of the function in the graph shown below between x = -1 and…

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Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: Express your answer as a polynomial in standard form. ƒ(x) = x +11 2 g(x) = x² - 6x +2 Find:…

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Q: f(x) = -3x + 5 g(x) = x² = x² + 2x + 15

A: Given the function   we have to find the value of (gof)(x)

Q: X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (a) Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 2 using four approximating…

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Q: DRAW THE GRAPH OF A FUNCTION WHERE limr-a f(x) DOES NOT EXIST FOR SOME INTEGER a. EXPLAIN WHY THE…

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Q: At what value(s) of x on the curve y=-7+90x^3-3x^5 does the tangent line have the largest slope?

A: y=-7+90x3

Q: The function f(x)=x² +1, x ≥0 is one-to-one. (a) Find the inverse off and check the answer. (b) Find…

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Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]