(t+6)2 dt

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter an...

A: First, to find equation of the tangent to the curve by without eliminating method:

Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function i...

A: Find all the intervals for where the function is increasing and decreasing

Q: Lea invests $8,333 in a savings account with a fixed annual interest rate of 8%. What will the accou...

A: According to questionInitial balance (p) = $8,333Interest rate (r) = 8%Time (t) = 12 yearIt is given...

Q: 272x+1=1/3

A: Put 27=3^3 Exponent of exponent multiplies.Plug 1/3= 3^-1

Q: Actually the range of possible results for a limit with a 00 indeterminate form is anywhere from 0 a...

A: Example of a limit with the form 00 is provided.

Q: Consider the following function. (If an answer does not exist, enter DNE.) 7 = 1 + х f(x) x2 (a) Fin...

A: Consider the given function.

Q: An investment of $9,000 earns interest at an annual rate of 6.5% compounded continuously. Complete A...

A: Use the following formula,

Q: Suppose that you are climbing a hill whose shape is given by 2360 0.01122 - 0.009y2 where z is the e...

A:

Q: I'm confused on how to find the x-coordinates of the inflection points of f in this problem when giv...

A: a) If the curve if graph of f then we have to look for the points where the curve is changing curvat...

Q: The population (in millions) of the United States between 1970 and 2010 can be modeled as P(x) 203.1...

A: To determine the rate of change of population in year 2000 and 2010.

Q: Solve the equation for x. Need full answer. 272x+1=1/3

A: Given:

Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is...

A: Compute critical points as follows.

Q: Let f(x) = x8r Use logarithmic differentiation to determine the derivative. f'(x) f'(1) =

A: Plug y in place of f(x). Take ln on both sides.

Q: Find the absolute maximum and absolute minimum values of  (f) on the given intervals

A: Given function and interval is

Q: #9

A: To find: The limit exists or not.

Q: For fiddler crabs, the weight of the claw can be modeled as f(w) 0.11w1.54 pounds when the weight of...

A: The weight of the claw is modeled by,

Q: 17. Rectangles beneath a semicircle A rectangle is constructed with its base on the diameter of a se...

A: Given:A rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its...

Q: Can I get help with this problem step by step?

A: To determine the length of piece bent into the shape of an equilateral and a circle.

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci: (0,-8...

A: Given, foci and vertices are

Q: Find the absolute maximum and absolute minimum values of f on the given interval. Give exact answers...

A: Compute critical points as follows.

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. f(x) 4x2-5x+5

A: First find f(x+h).Replace x by x+h in f(x)=4x^2-5x+5

Q: 9 The table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx...

A: From 3 to 9 if we have to make three subintervals then each subinterval will be of length = (9-3)/3=...

Q: Find a unit vector pointing in the direction in which the maximum rate of change occurs for the foll...

A:

Q: Calculus Question

A: Substitute the term with x+h for expression in  f(x+h) and x for f(x). Expand the terms and cancel o...

Q: Write a parameterization for a vertical line through the point (7,6) so that y(t)is a linear functio...

A:

Q: The velocity of a particle moving along a line is given by v(t)=t^3−4t^2 meters per second. Find the...

A: To find the displacement of the particle, velocity should be integrated w.r.t. time.

Q: Find the critical points and inflection points of f(x)=(x-4)^3

A: Critical points of a function f(x) are those points where the first derivative i.e f'(x) = 0Inflecti...

Q: Solve the equation for x to 3 places: 5x+2=41-x This is with logs.

A: The given equations is,

Q: Identify the conic section that the polar equation represents. Describe the location of a directrix ...

A:

Q: C(x)= 20,000 +7x-x2/20,000; x=10000

A: Given function is

Q: 62. If a couple has $80,000 in a retirement account, how long will it take the money to grow to $1,0...

A: If P is the principal invested at a continuously compounded rate of r over time period t, the the ma...

Q: find f please

A: given:

Q: a. For the function and point below, find f'(a) b. Determine an equation of the line tangent to the ...

A: Given:

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The given composite function is,

Q: Find the absolute maximum and minimum values of the following function on the given interval. If the...

A: The given function is, 

Q: Problem 2 Parts A, B, and C

A: Part a)First to draw the graph of the function.Since from the graph the given function is not contin...

Q: 3B please

A: Given a function

Q: A wheat farmer is converting to corn because he believes that corn a more lucrative crop. It is not ...

A: Let f(n) denote the number of acres devoted to corn in year n. We have f(n)=500+20n.Let g(n) denote ...

Q: Consider the following function.f(x) = sqrt(x), a = 4, n = 2, 4 <= x <= 4.9(a) Approximate f b...

A: Given, function

Q: 4. Assuming the limit exists, explain what ∞0 means and explain why an ∞0 limit could be anything be...

A: To discuss indeterminates and limits.

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: To determine the inside, outside function and derivative of the function with respect to x.

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2 cos(t), y =...

A: Given parametric equations are

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. 14 f(x) х

A: Given function is 

Q: Find a formula for n in terms of m where: n is a length in feet and m is the length in inches.Note t...

A: We have to find a formula for n in terms of m where n is a length in feet and m is the length in inc...

Q: I can't find the tangential component of the acceleration

A: The given position vector is,

Q: Find the gradient vector and level curve of the following functions at the given point and show that...

A: Given,

Q: Suppose the region on the left in the figure (with blue shading) has area is 24, and the region on t...

A:

Q: For number 3, how to find radius and height? And how do I know for height which function to subtract...

A: Given thatGiven that

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

A: Formula for the average value of a function:

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A: Given figure is