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Q: Consider the line y=x. Where is it concave up? Where is it concave down? Does it have any inflection...

A: Given line y = x. 

Q: 3.7 Can you show me all the steps to solve this problem?

A:  Given thatLength of fencing is 750 ft

Q: Find the first partial deravatives of the function

A: Since, only question no. 21 is clearly visible in the image you have provided, that’s why we are doi...

Q: Question 14 f()9() Let k(x) = If f(x) 4, g(x)-4x +4, and h(x) 2-x - 1 what is k' (x)? h() 4x +4, and...

A: Since from the given information:f(x) = x-4g(x) = -4x+4h(x) = x2-x-1and,

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of θ...

A:

Q: I need help with problem #15 in Section 4.3, page 301, in the James Stewart Calculus Eighth Edition ...

A: a)Consider the function,

Q: Please help.

A: Given, P(x) and D(x)

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: Consider the following 3x4 - 8x3 - 14x2 31x + 6, Р(x) 3 c -2, Show that the given values of c are ze...

A: It is showed that the given values of c are the zeros of P(x).

Q: The management of Unico department store has decided to enclose an 860ft^2 area outside the building...

A: To determine the dimensions of the enclosure that has minimum cost.

Q: Hnd the Derivatives fCX)= (X2+1 )3(12 F(X)=1X X3 2x+ 8 f(x) = (X3 +3x2)3 +3 xt

A: It is needed to find the derivatives of the given function.The first function whose derivative is to...

Q: У Consider the plate bounded by y = r3 + x2 + 2, = 12-3, = -1 and x = 1 as shown on the right Set up...

A: Consider the given curves.

Q: For a period of time, an island's population grows at a rate proportional to its population. If the ...

A: The general growth formula is given by,

Q: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let p(x) ...

A: Let p(x) represent Primo Pizza’s profit x days after June 1 and s(x) represent Pizza Supreme’s profi...

Q: 5 x 500, p 4 - In(x) where x is the number of hot dogs (in thousands) that can be sold during one ga...

A: Given a function

Q: Find the curvature κ(t) of the curve r(t)=(4sint)i+(4sint)j+(3cost)k

A: Given curve as

Q: A particle moves along the curve below.  y=(24+(x^3))^(1/2) As it reaches the point (1,5), the y-coo...

A: A particle moves along the curve f(x). As it reaches the point (1,5), the y-coordinate is increasing...

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x...

A: Given functions are,

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

A: Given:

Q: What is an estimate of g(21) using the midpoint to get the most precise estimate?

A: We need to estimate g(21) by using the mid-point rule.Note:By looking at the part (a), it seems that...

Q: A rectangular box is to have a square base and a volume of 24ft^3. If the material for the base cost...

A: Let x denotes the side of the base and y denotes the height of the rectangular box.

Q: Calculus Question

A: Since the box is square base, let x be length and width of the box and y is the height of the box.Gi...

Q: Find the Derivative  y = sin(tan(7x))

A: Given:

Q: If y is directly proportional to x, and y=42 when x=7, find the constant of proportionality and writ...

A: Given that y is directly proportional to x or y ∝ x. So we Can write this in other form as:

Q: Question 26 f(2) where f(-3) 7, f'(-3)- 9, g(-3) =-2, and g'(-3) g() Let h(ax) 1. What is h'(-3)? Do...

A: Let, h(x) = f(x)/g(x).Find: h’(x).

Q: Indicate whether each of the following statements is True or False. If the statement is true, explai...

A: (a) To state whether the given below statement is True or False.

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

A:

Q: Determine the set of points at which the function is continuous

A: Given function

Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then s...

A: Given function

Q: 113120 Example 1: Tangent line approximation Find the tangent line approximation of: SUpe f(x) = x-2...

A: Given,

Q: 12 Find the absolute maximum value on (0, co) for f(x) = 18-12x- X Select the correct choice below a...

A: f(x) = 18 - 12x - 12/xf'(x) = -12 + 12 / x2 

Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored f...

A: Given function isThe given function is a rational expression and the derivative can be obtained usin...

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent ...

A: Given, function and point are

Q: Find the absolute minimum and the absolute maximum of the function on the interval [0,3]. f(x)=x^2 +...

A:

Q: Can you help me solve number 6 please.

A: We need to find the local extreme values of the given function and the interval on which the functio...

Q: Find the absolute maximum and absolute minimum values of f on the given interval. ln(x^2+3x+8) in [-...

A: Given:

Q: Determine the set of points at which the function is continuous

A: f (x, y, z) = sin-1 (x2 + y2 + z2) = t (Let's say)Hence, sin t = (x2 + y2 + z2)

Q: A house painter has found that the number of jobs that he has each year is decreasing with respect t...

A:

Q: The curve y=tan(x) crosses the line y=10x at a​ non-zero x-value between x=0 and x=π/2. Use​ Newton'...

A: Given,

Q: one safe investment pays 10% per year, and a riskier investment pays 18% per year. A woman who has $...

A: Let x be the amount invested on safer investment pays 10% per year and y be the amount invested on r...

Q: Please assist me in finding the following values. There are 5 parts. Ignore the answers already in t...

A: We have to find the critical points first.Find f'(x), then set f'(x)=0 and solve for x.So, x=-3 and ...

Q: Find the derivative of the function. G(y) = (y − 1)3/[(y^2)+2y]^4

A: By applying the quotient rule, find the derivative of g(y).

Q: For children between the ages of 5 and 13 years, the Ehrenberg equation ln W = ln 2.4 +1.84h gives t...

A: The relation of weight of children and their heights is given as:ln(W) = ln(2.4) + 1.84h

Q: 4A please

A: The given statement is false.

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph ...

A: Given:

Q: The velocity function (in meters per second) for a particle moving along a line is given by (t)=t^3−...

A: To determine the displacement and distance traveled by the particle during the time interval [-2, 6]...

Q: If an even function f(x) has a local maximum value at x=c, can anything be said about the value of f...

A: A function is even function if f(-x)=f(x)So y axis works as mirror. 

Q: use the chain rule to find dy/dx y=(u+1)2;u=1-x

A: Given:The chain rule of differentiation states that:Applying the derivative with respect to x and us...

Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river an...

A: Let the boater starts from A. And he wants to go to B. It has to go in direction of AC to reach to B...

Q: A rancher plans to make four identical and adjacent rectangular pens against a​ barn, each with an a...

A: