Consider the following.   f(x) = (x^3+3x^2+x-8)/x   Rewrite the function by dividing each term of the numerator by the denominator. Simplify the result.

Q: Use the graph of the function g shown to estimate the function value g(0.7). 4- 2- Find the function...

A: To find: -

Q: Find the limit L.  Then using the delta epsilon definition to prove that the limit is L.

A: Find Limit.

Q: sin(x)=−0.2cos(y)=0.4tan(z)=5.5 sin(−x)= 0.2cos(−y)= 0.4tan(−z)= -5.5 What does sec(−y)csc(−x)cot(−z...

A:

Q: The position of an object moving vertically along a line is given by the function ​s(t) = -4.9t2 + 3...

A:

Q: 6. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters / s...

A: The velocity of the rock which is thrown upwards is given as 10 m/s. The height of the rock which is...

Q: Sketch the region enclosed by the given curves. y = 8x, y =x, y = 2/x, У 6F 6F 4 1 4 У 3 3 1 3 4 Fin...

A: First of all, plot the curves y = 2/x, y = 8x and y = (1/8) x using the graphing utility.Consider th...

Q: Let R be the region between the graphs of f(x) = (x + 2)2 and  g(x) =              (x − 2)2 on [0, 1...

A: Given functions

Q: Determine the values of A for which h(x) is continuous. (Enter your answers as a comma-separated lis...

A:

Q: Find the indicated derivative. d 16x + 18 dx d 16x + 18 dx

A: Distribute the x in the denominator and simplify. 

Q: ln(ln x)=1

A: Given:

Q: Please solve and show your work

A: Point slope form of equation of a line if the equation passes through (x1, y1) having slope m,y – y1...

Q: Can you please help me step by step with this problem

A: To find the derivative of the function y = 6x3.

Q: I just need #36.

A: Given the equation

Q: Find an equation for the family of linear functions with slope 5. (Use the standard coordinate varia...

A: Given:

Q: Find the average rate of change of the function overthe given interval. Compare this average rate of...

A: Given:The function

Q: caneous Velocities Determine the sign of the slope of a line tangent to a tunction at a glven polnt ...

A: According to the given information it is required to find the values of ‘x’ where the slope of the f...

Q: 3 Find G'(w) if G(w)%= +3w. %3D 4w6 G'(w) =D %3D

A: Consider the given function.

Q: Donde the slope of the secant line between

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by th...

A: Given information,

Q: find the antiderivative of the function h(x)=5/x

A: Recall the fact that the antiderivative of a function is the integration of that function.

Q: could i please get help with 9a?

A:

Q: Please solve and show your work

A: The given equation is,

Q: I am so confused...

A: (a)We have given the graph that models Pension resources.

Q: 28. A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the ba...

A: Draw the figure and name the vertices.

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

A: Given:

Q: A cyclist is riding on a path whose elevation is modeled by F(x)=.07(14x-x2) where x and f(x) are me...

A:  To find the rate of change in elevation when x=3.5 miles.

Q: dy/dt=0.3(y-200)

A: Separate the variables and integrate both sides. 

Q: A silver dollar is dropped from the top of a building that is 1329 feet tall. Use the position funct...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Consider the series n-1 10" n=1 Determine whether the series converges, and if it converges, determi...

A: Given a series

Q: A region R is bounded by the graphs of  y=0.8 (x)^1/2 and y=0.8x.  Find the moments Mx and My of R a...

A: Given,

Q: The magnitudes of the vectors are A = 8.3, B = 4.3, C = 11.6, D = 17.5, and F = 17.5. The angles, in...

A: We convert the given vectors in cartesian format, using the relation,

Q: Express the area and perimeter of an equilateral triangle as a function of the​ triangle's side leng...

A: Express the area and perimeter of an equilateral triangle as a function of the​ triangle's side leng...

Q: Evaluate the surface integral ∬SF⋅dS for the given vector field F and the oriented surface S. In oth...

A: Compare the given equation with general equation and find the value of P, Q and R.

Q: Find the values of a and b that make f continuous everywhere, x² - 4 if x < 2 2 f(x)%3D ax² – bx + 3...

A: The given function f is,

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given that a quantity decreases by 5.1% in 7.5 hours.

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope...

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) =  ...

A:

Q: Find the volume V of the solid obtained by revolving about the line y = - 4 the region between the g...

A: Obtain the volume with the help of Washers method.

Q: I can't figure b &amp; c out, help please?

A: (b)Find the values of x such that volume is greater than 210 in3 as follows

Q: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980 ...

A: Given: The per capita consumption of commercially produced fresh vegetables in a certain country fro...

Q: Find the indicated quantities for f(x) = 2x. (A) The slope of the secant line through the points (2,...

A:

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 3x f(x) = 3+X f'(x) =...

A: Use the four-step process to find f’(x)

Q: could i please get help with 9c?

A: Graph the given functions using graphing calculator. Shade the bounded region. It will rotate about ...

Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance? use the exp...

A: Consider the form of the exponential equation.Let the value of Po be 100 at 0 hours.The quantity red...

Q: Guyton makes $24/hr tutoring chemistry and $20/hr tutoring math. Let x represent the number of hours...

A:

Q: (x+8)2 Let f(x) = x2-64 Find a) lim f(x), b) lim f(x), and c) lim f(x). %3D X -8 a) Select the corre...

A: a)  Plug the given expression for f(x), then factor the denominator and simplify. 

Q: Find the x-value at which the function is not continuous. Are any of the discontinuites removeable?

A: Find the function is removable or non-removable discontinuity.

Q: du/dt=e^(3u+8t)   u(0)=-9   Solve for some function u(t)

A: Given,

Q: Consider curve given by x=3et+3e-t and y=et-e-t  find an equation for the curve without the paramete...

A: To find: -

Q: A ball weighing 0.2 pounds is thrown vertically upward. Its height after t seconds is given by h(t)=...

A: Given,