Question

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

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

A: To determine:Part a) The intervals on which the function is increasing and decreasing.Part b) Points...

Q: 2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd function...

A: Recall the following fact.

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = x2 + 5, ...

A: Substitute the values in difference quotient formula for x = (6+h) and x = 6. By the use of differen...

Q: Let f (x) = x1/3(8x + 12)2/3. Find f ' (x) and the critical numbers for f.f ' (x) = (Ax+B)/3x^c(8x...

A: Use product rule to find the derivative. Use chain rule for (8x+12).

Q: Find the area of the region enclosed by one loop of the curve. r=sin(8theta)

A: Draw the given curve as shown below.

Q: Problem 3: Evaluate the following limits, or give a short reason why they do not exist. (You may use...

A: a) To evaluate:

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of ...

A: Click to see the answer

Q: #1

A: Given:

Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

A: Find first derivative using product rule and chain rule.

Q: A typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19% is metabol...

A: Given that a typical cup of coffee contains about 82 mg of caffeine and every hour approximately 19%...

Q: I am studying for a precalc exam. Could you explain how to find the inverse of a function such as: ...

A: Plug g(x)=y , then switch x and y.

Q: see attachment

A: The domain of a function f(x) is defined as a set of values of x for which function is defined and t...

Q: Determine if the series below converges or diverges. Show all steps in whichever test you use. If a ...

A: Click to see the answer

Q: sin(0) for the angle e shown. Find tan(e) 2 3

A: Given figure is

Q: Solve. (4^x)^2-2(4^x)-1=0

A: Click to see the answer

Q: Consider the following.x = et - 6y = e2t(a) Eliminate the parameter to find a Cartesian equation of ...

A: From the equation for x, write t in terms of x.

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of...

A: To determine the instantaneous rate of change of q with respect to p.

Q: see attachment

A: To determine the value of x.

Q: Find the vertical and horizontal asymptotes. Find the intervals of increase or decrease. Find th...

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

Q: if x1 Let f(x) mx b if x > 1 Find the values of m and 6 that make f(x) differentiable. т

A: Given :

Q: A sandbag is dropped from a balloon at a height of 60 meters when the angle of elevation to the sun ...

A: Click to see the answer

Q: see attachment

A: For a function of the form y=A sin(B(x+C))+D, amplitude is A, period is 2pi/B,phase shift is C.So we...

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 height (in feet) of a certain kind of tree is approximated by h(t)= 120/1+180e-.34t where t is t...

A: The height of a tree in feet as a function of time t in years is as follow:

Q: If f(x)=4x2 - 5x + C and f(1)=13, find the value of constant C

A: Given:

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

A: (a) From the given graph, it is observed that the graph is moving upward from –4 to –2 then decreasi...

Q: see attachment

A: Part(a):Given:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a ...

A: The Maclaurin series of y=e^z is

Q: Consider the following g(x) = 8e5.5x, h(x) = 8(6.5*) Find the derivative for f(x) g(x) h(x) f'(x) =

A: The given values are,

Q: y Classify all critical values of the equation, - 2y + 1, as asymptotically stable, unstable, or da ...

A: Given equation is and the critical points are y = -1, 0, 1.A point is said to be stable when y' <...

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10 fe...

A: To estimate the height using numerical integration

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

A: Given function is

Q: Differentiate the following function. y = (7 + sin(x))/(7x+cos(x))

A: Click to see the answer

Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3 ...

A: Given vector function is,

Q: 5. In this problem, we will use linearization to approximate the solution of e +1 20 which occurs ne...

A: Consider the given equation

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: To determine the equation of tangent line at given point.

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

A: Given function

Q: Find the centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve:

Q: Use the given graph of the functionf to answer the following questions 10 1

A: Click to see the answer

Q: 4+3t t 130000 6-t Find Notes: Enter "DNE" if limit Does Not Exist (a) lim g(t) 1 t->-oo (b) lim g(t...

A: Given function is

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

A: Use the following formula,

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

A: The problem conerns applying chain rule by expressiong f(x) as a composite function f(x)=g(h(x)). We...

Q: Solve the equation for x to 3 places: Need full answer. 5x+2=41-x

A: Consider the given equation.

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: I need help with question 15 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Using the identity

Q: The average length of the outer ear for men can be modeled as f(x)0.89 0.495 In x inches a s 70.T wh...

A: Find f (x(15)) as follows.

Q: This is a 2 part question, kind of.... Part 1: Find the derivative.f (t) = 3t sin2 t Part 2: Is ther...

A: Given function is:Applying the derivative with respect to t and using the chain rule i.e. (uv)' = u'...

Q: step by step on how to see if these functions are inverses to each other

A: Rewrite as follows.