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Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...

A: According to question

Q: Find the derivative F(x)=x^3(x4/3 -1)

A: Please see the white board.Recall the famous rule of differentiation: d(xn) / dx = nxn-1

Q: The operating cost to an airline for having a flight between its west-coast and east-coast hubs chan...

A: Click to see the answer

Q: When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past...

A: Differentiate F with respect to R to get

Q: The half-life of iodine-123 is about 13 hours. You begin with 52 grams of iodine-123. (a) Write an...

A: Consider the amount of iodine(I) as a function of time(t).

Q: Differentiate the function g(x) = ln(xe-2x).

A: Given function is,

Q: Q1. Differentiate g(x) = (x +-)-2 OC

A: Given:

Q: Calculus Question

A: Given:

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round ...

A: In case of a radioactive decay, the amount x after time t is given by x(t)=x(0)e−kt where x(0) is t...

Q: see attachment

A: Here the given logarithmic equation is,

Q: ∫x3e-4x^4dx

A: We assume z= -4x^4 From there we find x^3*dx.

Q: find the derivative 1).f(x)=X^3(X^4/3-1) ...

A: 1)

Q: f(x)=(4x^2)/[(x^2)−4]. Calculate the first derivative of f. Find the critical numbers of f, where i...

A: The given function is,

Q: I need to find the answer using integration with polar coordinates.

A: Given:

Q: Can you help me on #27

A: The series1/k2 converges. We compare given series to this series and use comparison test.

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 4. ...

A: We have to use area formula of polar coordinates with a= pi/2 and b=2pi

Q: 4. Let f(x talk about its inverse.) Without finding a formula for f1(x), find (f1)'(4) Vx26 (We rest...

A: To determine (f-1)’ (4) without using formula of inverse.

Q: An investment grows at 24% compounded monthly. How many years will it take to do the following? (Rou...

A: Consider the given information:

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of p...

A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be...

Q: Can you help me step by step?

A: f(x)= x^(2/7) is continuous in the interval [-5,8].Image of the graph attached. It shows f(x) is con...

Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C

A: Given,

Q: Can you help with this problem step by step?

A: Given,

Q: see attachment

A: Answer: cos B= 5/13

Q: A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a ...

A: The total length of the wire is 63.Let x be the length of the wire cut for the circle.Then, 63-x is ...

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

Q: Question 1 Parts 4, 5, and 6

A: Actual value of g(4.01)= 2.002498439Linear approximation= 2.00252.002498439 < 2.0025Actual value ...

Q: Calculus Question

A: To check the concavity of a given function f(x) first we need to find the f ''(x).If the value of f ...

Q: dx Evaluate 256 289x2 dx 256-289x (Use C as an arbitrary constant.)

A: Substitute for x as follows.

Q: see atta chment

A: Equation can be rewritten as

Q: Graphs A and B are approximate graphs of f and f' for f(x) x28x - 10 So f is decreasing (and f is ne...

A: Let us find the interval in which f is decreasing:

Q: Calculus Question

A: Given,

Q: Can you do question 21 and show the steps

A: the equation of line.

Q: The number of children under 18 living in households headed by a grandparent can be modeled as p(t) ...

A: Consider the given information:

Q: The question says: "A pair of paraetric equations is given. a.) Sketch the curve represented by the ...

A: To sketch the graph, the points (x, y) are to be determined for different t values and then the poin...

Q: An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at...

A: Model the given problem as follows.

Q: X Document1 - Word AutoSave evie tucker Off ET Design References Mailings Review View Search Share F...

A: The given equation is

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side leng...

A: To determine the rectangle which give the maximum area under the given conditions

Q: see attachment

A: x-coordinate of the point is

Q: F(x)=4+54x-2x^3 , [0,4] what are the absolute minimum value and absolute maximum values?

A: Given function

Q: Can you please answer question 59 and show the steps

A: The given function is

Q: The question prompts for the integral from 0 to 1 of 1/x^p, what values of p would the integral conv...

A: Given,

Q: see attachment

A: Simplify the argument to find the exact value

Q: Find the derivative.

A: Given function is

Q: Answer the following questions about the function whose derivative is f′(x)=(x+2)e^-x.Assume the do...

A: for increasing and decreasing the function.

Q: The initial size of a particular substance is 75. After 3 hours the substance count is 4500. 6. Find...

A: We are given that the initial size of a particular substance is 75 and after 3 hours the substance c...

Q: Use the method of partial fraction decomposition to perform the required integration X3 dx (x-7)2 X+...

A: to given

Q: Can you help me on #1

A: Distribute secx use 1/secx=cos xThen simplify.

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: Week 4 Fall 2019 Maxima minima of function Consider the following function of variable r, for r2 0 y...

A: The given function is shown below: