Use the properties of logarithms to expand the logarithmic expression. Submit Answer x - 67 X X

Q: Find the derivative of the function. 9 5-2 +8√x x5 h'(x) = h(x) =

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Q: 0 -3 -2 -1 0 1 2 3 f'(0) 0.9 0.3 1.6 0.9 -1.3 0.7 1.9

A: A function is said to be increasing around a point where its derivative is positive and it is said…

Q: Let consider [^e² dr. a) Apply the composite midpoint rule with m = 4. Compute error by comparing…

A: Given, ∫01exdx

Q: How to determine if it is continuous, without using a graph?

A: Given function:- fg=2g2-gif g≤0tangif g>0

Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: We have to find the absolute extrema.

Q: Find an open interval about x on which the inequality | f(x) − L| 0 such that for all a satisfying 0…

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Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: Evaluate the following expression without using a calculator. log 99

A: The given expressions, i) log99ii) log749 We have to find the value of the expression without using…

Q: The graph of the function f(x) = x³ is translated horizontally to create g(x). If the point (4, 8)…

A: We can solve this as follows:

Q: Question Which of the following statements applies to the convergent alternating series n=1 (−1)n+1…

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Q: Solve y'' + y' 6y = 0, y(0) = 2, y'(0) = y(t) = 21

A: To find solution of differential equation

Q: the-hx е Lox.

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Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

A: Note: Since the student has posted many sub-parts of the question and does not mention any specific…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: To find indefinite integral.

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=3…

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Q: Consider f(x) = − 5x(8 − x)¾ Determine the intervals on which f is concave down. Of is concave down…

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Q: 2. Let S = {100, 101, 102,...,999} so that [S] = 900. (a) How many numbers in S have at least one…

A: We need to find number of digits.

Q: Consider the function below. (Round the answers to two decimal places. If you need to use - or∞,…

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Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

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Q: Solve y'' - 4y' + 29y = 0, y(0) = 3, y'(0) = y(t) = 9

A: The given differential equation is; y''-4y'+29y=0, y(0)=3, y'(0)=-9.

Q: on 5 Given original function AND x-1 x+2 3 (x+2)² f(x) = where f'=- Ari nolbar, press ALT+F10 (PC)…

A: We have given  f(x)=x-1x+2 and f'(x)= 1(x+2)2 Find interval of increasing and decreasing.

Q: The area of the region inside r= 2 + sin and outside r= 2-2 cos 0 is given by

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Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and zin inches. Suppose…

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Q: Evaluate the integral in terms of the constant: S₁x5 dx =

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Q: Let f be a function that is continuous on [1,7] and differentiable on (1,7). Suppose 2 < f'(x) < 3…

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Q: Use the e-8 definition of a limit to compute the value of the following limits: 1. lim -3x+1 3

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Q: Consider the function f(x) = x² x² + 4 You may use the facts that f'(x)= needed. = Answer the…

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Q: Differentiate the function. g(x) = = 1 (3x³ + 5x + 8)3/4

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Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. x² + y² =…

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Q: Evaluate the integral. (Use C for the constant of integration.) √(x² + 8x) cos(x) dx (x²sin(x) + 8x…

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method…

Q: (a) We have 3 X Y

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Q: The price of a widget is given by p(x)=160−8x where x is the quantity demanded. The cost of a widget…

A: The price function is given by px = 160-8x Where x is the quantity demanded. The cost function is…

Q: Consider the function: f(x)=7x+1 Step 2 of 2 : Find the value of f(a+5)

A: Consider the function: f(x)=7x+1Step 2 of 2 :   Find the value of f(a+5).

Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: Prove the identity. tan (+) 2 tan (7) + cos(x) tan (+) = sin(x) 1 - cos(x) X + cos(x) tan (-) = = X…

A: To prove the following identity.tanx2+cosx tanx2=sinx

Q: Question Use the method of partial fractions to evaluate the following integral. √ 23 ²2 64 da dx x3…

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Q: 1. Among 200 people, 150 either swim or jog or both. If 85 swim and 60 swim and jog, how many jog?

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Q: Evaluate R (2ry) dA, where R is the triangle shown below. y-axis (0, 3) √x+y = 3 R x - 4y = 0 (4,1)…

A: We have to evaluate the integral:  ∫∫R (2xy) dA ;     where R is the given shaded region.

Q: Consider the integral 1,33 x² If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: If 1 f(æ) = tanh-Và then f'(x) = 0

A: Concept: The derivative of arctanhx is 11-x2 ddxxn=nxn-1

Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. 4 [.² 5² * ے والی ام dx…

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Q: The monthly demand function for a product sold by a monopoly is p = 1,692 - x² dollars, and the…

A: Demand function p=1692-13x2Average cost c=900+14x+x2

Q: Find direction Vector a that has the same as (-6,5,67 but has length 4

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Q: Find an equation of the tangent plane to the surface at the given point. y (1, 9, 9) f(x, y) = −9x +…

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Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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Q: Use Newton's method to approximate a root of f(x) = 11x^2 + 36x -24 if the initial approximation is…

A: Given, f(x)=11x2+36x-24

Q: Consider the function f(x) = (x - 1)1/3 .(a) Compute the slope of the secant lines between (1,0) and…

A: Concept: The slope of the tangent line of the function is  m=f'(x) The slope of the secant lie…

Q: Answer the following questions for the function f(x)=x√x2+1 defined on the interval −5≤x≤7.…

A: We are given the function f(x)=xx2+1. As nothing is mentioned, we will be answering by graphical…

Q: Graph the following. 0 0 peacewise function. +£3. 3≤ t < 5 + 25

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Q: Sketch the graphs of the following functions. 9. f(x)=x³-6x² + 12x-6 10. f(x) = -x³ 12. f(x)= x³ +…

A: Sketch the graphs of the some given function. 9) f(x)= x3 -6x2 +12x-6 11) f(x)= x3+3x+1 13) f(x)=…