Determine ALL restricted values for: Log (In (log2x)) 2 and explain why

Q: Use a sketch to find the exact value of the following expression. tan cos 16 20 Which of the…

A: Answer Option D is correct sketch. tan(arccos2016​)=43​Explanation:For any query with the solution,…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Thus, the equilibrium point is (x,p)=(3,112).The consumer's surplus at the equilibrium point is…

Q: When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C…

A: The temperature of the second bath is 19.554765oC.Explanation:

Q: 5) Find the volume of the solid generated by revolving the triangular region with vertices (0,0),…

A: The objective of this question is to find the volume of the solid generated by revolving a…

Q: Find the derivative of f with respect to x of f(x) = In x 12

A: The objective of the question is to find the derivative of the function f(x) = ln(x^12) with respect…

Q: To complete the process legible

A: To prove the Second Derivative Test for a strict local maximum. We'll assume thatf:Rn→R is a…

Q: 2 #12 Given f(x, y, z) = 3√ √ x²+ y²+z² (a) Find the linear approximation L(x, y, z) near the point…

A: a.) The linear approximation is L(x, y, z) = 2√2 + (-1/√2)(x + 2) + (1/√2)(z - 2)b.) The linear…

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: Note: According to Bartleby guidelines we can solve only one question.  If you want more questions…

Q: ​(A) Find the instantaneous rate of change of the amount in the account after 1 ​year(s)? (B) Find…

A: The required answers are A) 925.409507 dollars per year.B) 935 dollars per year.Explanation:Step 1:…

Q: Use the result, "the set of parametric equations for the ellipse is x=h+a cose, y=k+b sine" to find…

A:

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

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Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units…

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Q: Mercury moves in an elliptical orbit with the sun at one of the foci. The length of the half of the…

A: Length of half of major axis = 56996838 kilometersEccentricity= 0.2056

Q: 2) The contour map of f(x, y) is shown below. Use it to find fx (1,3) 10 10 8 8 6 =2 6 0 x=2 6 8 10

A: fx​(1,3)=1   Explanation:From the given contour map, we can see that, f(1,3)=4  Similarly we can…

Q: Q2 Perimeter of a rectangle is 84 inches. Find the dimensions of the rectangle that maximize the…

A:

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

Q: Find y' by implicit differentiation. cos(x) + √y = 7 y' =

A: Ans: y′=2y​sin(x)Explanation:Solution:Step 1: let's differentiate the equation cos(x)+y​=7…

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Ans. ) Required producer Surplus is $133.34. Below is the explanation of the…

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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Q: A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates…

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Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: round to one decimal plce.

A: To solve this problem, use the formulas for continuous compounding and annual compounding to…

Q: Let (f : [0, infinity) -> R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that a function f(x), which is continuous and…

Q: You are looking at a balloon that flies straight up. Your horizontal distance from the balloon is…

A: Let the height of balloon is  m and x m be the horizontal distance The figure

Q: If then A = || 1 −1 -21 -1 21 1 -2 1 2

A:

Q: Find the volume of the solid generated when the region enclosed by √√√x, y = 6 — x, and y: 0 is…

A: y =√xy=6-xy=0 revolved about the x-axis

Q: #5 Find parametric equations of the I love through points P(-2,4,-1) and Q (-3,-5,6)

A: The parametric equations of the line passing through points P(-2, 4, -1) and Q(-3, -5, 6) are:•x(t)…

Q: Find dy dx y=9lnx+5 loggx

A: The objective of the question is to find the derivative of the function y = 9ln(x) + 5log(g(x)) with…

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: Hence, the surface area of the parametric curve is 2​πExplanation:Step 1: Step 2:Step 3: Step 4:

Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

A: The objective of the question is to show that the function u(t) = T(t) - Tomg, where T(t) is the…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Answer :(a)  62   (b)  423​Explanation:For any query please ask in the comment box.

Q: 256x The volume of a sphere is increasing at a rate of 5 cm³/sec. Find the rate of change of its…

A: The volume of a sphere is increasing at a rate of 5 cm3/sec. To find the rate of change of its…

Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: please solve  3[ln x - ln (x+9) - ln (x-9)]

A: The expression simplifies to:3ln(x2−81x​)Explanation:

Q: πT 0 3 2 4 tan(x) sec(x) * dx_ ´

A:

Q: 10 m₁-m 2 = 5 m₁+ m2 1 Solve for m₁

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Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

Q: how did we find 100/3

A:

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given by…

A: The objective of the question is to find the general and particular solution of the cost function C.…

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per month,…

A: A real estate office manages an apartment complex with 40 units. When the rent is $1594 per…

Q: Calculus I May I please have the solution for the following questions? Sketch an accurate graph…

A: Please refer below to get your solutions.Explanation:Sol -> a) Sol -> b) Sol -> c) Sol…

Q: Question 9: Using the fact that i²= -1 and the identities: and cos(x)=(-1)" x2n (2n)!' n=0 x2n+1…

A: Given that To prove

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

A:

Q: Əz Əz and at Use the chain rule to find as || 8」8 z = tan (#). u = 7s + 9t, v = 9s - 7t

A: answers are given below.Explanation:

Q: Determine the limit by sketching an appropriate graph. √1- 0sx < 1 lim f(x), where f(x)= X-1 1 1sx <…

A:

Q: Consider the function f(x) = x² + 2x - 8. (a) Find and simplify: f(z)-(1) 귿-1 (b) Now determine the…

A: C=1/7Explanation:

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: The objective of this question is to find the distance between two cities, A and B, given the angle…

Q: Solve the given integral equation or integro-differential equation for y(t). y' (t) +27 (t-v)y(v)…

A: The objective of the question is to solve the given integro-differential equation for y(t). The…