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Q: Given f(x) = x^5 + x^3 - 4 , find the derivative of f inverse at the point (-2,1).

A: We are given a function as

Q: k 5k! x Find the radius of convergence of- (2kk The radius of convergence is Type an exact answer in...

A: We have to find radius of convergence of series.Series is given below:

Q: a. find a possible function f and number a b. evaluate the limit by computing f`(a).

A: We first write the given function in the form of the definition of the derivative.

Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x> 0

A: Find the derivative of the given function.

Q: I need help please.

A: Rewrite the given series and proceed further.

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: For the following function f, find the antiderivative F that satisfies the given condition. F(v) =

A: First, we find the general solution using integration.

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: could you help me with this problem please

A: Given,

Q: please explain how to solve this

A: (a)We are given graphand we can locate upper and lower curves on different regions

Q: Find the average value of the function over the region R. Please refer to picture.

A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Consider the provided curve:

Q: How can I get the result? Which is the result?

A: we are given a function as

Q: #28 please

A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them.

Q: Find a formula for the general term an (not the partial sum) of the infinite series (starting with a...

A: Given infinite series is,

Q: Need solution to 4).d. thanks

A: (d)The limit is a point, where the function approaches the input.The limit value of the given expres...

Q: Which of the following is the power series representation for p(x)? A. B. 8+k -3 -3 k k 1 k k 1 O C....

A: Refer to the question,To find the interval of convergence of the provided series,

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by abo...

A: Click to see the answer

Q: Use spherical coordinates to find the volume of the region outside the cone phi= pi/4 and outside th...

A: To calculate the volume by using the spherical coordinates of the region outside the cone φ=π/4 and ...

Q: lim x→-4 x2-16/x+4

A: The given function is f(x)= (x2-16)/(x+4)The limit of the function is to be calculated

Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...

A: According to the question, x is the distance between the nearest point on a shoreline and the point ...

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval [−9,...

A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph ...

Q: When converted to an iterated integral, the following double integral is easier to evaluate in one o...

A: Given information:The given integral function is shown below:

Q: Help me please..

A: The Taylor series for cosx at x=0.

Q: Please help

A: Since f(x0,y0) is minimum of f(x,y). Then g(0) is minimum of g(t). That means g(0)<g(t) for t any...

Q: The graphs of y=1.1x and y=x have two points of intersection, while the graphs of y=2^x and y=x have...

A: Here, we are given that for a real number 1< p < 2 , the graphs of y=px and y=x have exactly o...

Q: I need help with this please. How do I find the volume generated by revolving the region bounded by ...

A: Given information:The region bounded by y = -sinx and y=0, from x= -2pi to x=0, about the x-axis

Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle: at)si...

A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get...

Q: The rectangular coordinates of a point are given. Find the polar coordinates (r,0) of this point wit...

A: The given rectangular coordinates of a point is,

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

Q: Fourier's Law of heat transfer (or heat conduction) states that the heat flow vector F at a point ...

A: Given that,

Q: Perform a first derivative test on the function f(x) 2x3x-12x +6, [-2,4]. a. Locate the critical poi...

A: (a)Locate the critical points of the given function f(x)=2x3+3x2–12x+6 on the interval [–2,4].

Q: Hello, find the exact value of each of the following under the given conditions. sin alpha=3/5, 0&...

A: We have to find value of tan(alpha-beta).Information is given below:

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x.

Q: Activity 4 the Derivative of Inverse Trigonometric Functions 9. Without technology find the derivati...

A: The given functions are y = sin–1(4x), y = cos–1(lnx), y = tan–1(e2x), y = x(sin-1(x))2.

Q: Which is the result?

A: We are given a function as

Q: Find the relative maxima, relative minima, and points of inflection and sketch the graph for the fun...

A: We have to find the relative maxima, relative minima, and points of inflection and sketch the graph ...

Q: How can I get the result? Which is the result?

A: Use online graphing calculator to graph of the function.

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A: Click to see the answer

Q: If y (in 2)2, then O 2eln 2 0 O 2 In 2 1 (in 2)2 O eln 2

A: We have to find derivative of y .Question is given below:

Q: How can I get the result? Which is the result?

A: The given function is given by

Q: Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and Q(b,f(b)) be disti...

A: Given information:Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and ...

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: The power series is given as

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: How can I get the result? Which is the result?

A: Refer to the critical numbers of the function h(x) = sin2x+cosx, where 0<x<2piThe critical poi...

Q: How to convert percentage to ratio?

A: In this question we have to explain how to convert the percentage in fraction form.

Q: How can I get the result? Which is the result?

A: Click to see the answer