Calculus Question

Q: A farmer wants to enclose two rectangular areas along a river , one for cattle and the other for alp...

A: It is given the farmer has 270 yd of fencing in all.Let l be the length and w be the width.From the ...

Q: World consumption of a certain metal is running at the rate of 354e0.02t thousand metric tons per ye...

A: The consumption of a metal is running at the rate of 354e0.02t and it is denoted as r(t).

Q: Attempt 5 > Question 15 of 19 Evaluate the limit. (Use symbolic notation and fractions where needed....

A: It is needed to calculate the limit of the given function:

Q: 5) Investigate the family of curves of f(x)=ln(x^2+c).What happens to the inflection points and asym...

A: Given the function

Q: dt d Use the Fundemental Theorem of Calculuss to find the derivative dx 1v

A:

Q: Find the exact length of the polar curve r = (theta)^2 from 0 <= theta <= 2(pi)

A: The given curve is

Q: 4.1 Can you show me all the steps to solve problem 21?

A: Given:

Q: Question included in image

A: The region of integration is shown below:

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given i...

A: To calculate the velocity and position function for the particle.

Q: Test the series for convergence or divergence using the alternating series test. 16) Σ n=1 to infini...

A: Consider the given series,

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: how do you use the definition of a logarithm to rewrite this equation as an exponential equation? st...

A: Given:

Q: Let f(x) = x3. Verify the mean value theorem by finding a c (−2, 1) such that f '(c) =  f(1) − f(...

A: f(x) = x3f(-2) = -8; f(1) = 1f'(x) = 3x2f'(c) = 3c2 

Q: Determine if the curve is concave upwards or downwards at P(4,0).

A: Consider the given parametric curve,

Q: determin where the function is concave up and where ti is concave down.   f(x)=4x/(x^2+36)

A: Test for Concavity:If  f "(x) > 0  for all values of x in the interval, the graph is concave upwa...

Q: A particle is moving so that at any time t, its acceleration is 10t for t > or equal to 0. At the...

A: Given that,The acceleration of the particle is 10t for t ≥ 0.The particle reached at the distance of...

Q: Let f(t)= t2-9t+20, g(x,y)= x2+y2 and X0= (2,1) a) Find Lg, linear approximation to g at X0. b) Find...

A: Given,

Q: Find the tangent(s) at the point P(4,0).

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 2ex cos(x),    (0, 2)

A: To find the equation of tangent to the curve given:

Q: The fixed sides of an isosceles triangle are of length L = 8 cm. (See the figure.) L cm L cm If the ...

A: Given that, the length of the triangle is L = 8 cm and the sliding rate of the side is 7 centimeter ...

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: Use v=<3/5, 4/5>, w= <-4/5, 3/5> to find v.w and proj w(v)

A: Given thatv = <3/5, 4/5> and w = <-4/5, 3/5>To find:wprojwV

Q: a. find the intervals of increase or decrease b. find the local maximum and minimum values c. find t...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: The question says:  "An equation of an ellipse is given. A.) Find the vertices, foci, and eccentrici...

A: Consider the given equation of ellipse

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

A: Consider the function x3 on the interval [3, 5].The average value of a function in an interval is de...

Q: Solve: The integrand (1-cos2 4t) cos4t dt on the integral 0 to pi/12

A: Use Pythagorean identity. 1-cos^2 theta = sin^2 thetahere theta= 4t

Q: Find the derivative of f(x)=(sinxcosx)1/2

A: Given the function,

Q: Question 16 For k(x) (2x -1)(x-3)(-x2 2), find the derivative of k(x) using the product rule. Select...

A: Given,

Q: The graph of a function f is shown below. For the following questions, note that you can enter "U" f...

A: Given,

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: 55-60. Approximating changes 55. Approximate the change in the volume of a sphere when its radius ch...

A:

Q: Use Green's Theorem to evaluate F · dr. (Check the orientation of the curve before applying the theo...

A: The given function is,

Q: Problem 4 please

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

Q: Help with 3a and 3b

A:

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 16/1 +...

A: Given that

Q: Question Question 7 of 18 Find the point (xo, yo) on the graph of y x3 9x2 3x - 5, at which the slop...

A: According to the given question first we have to find the slope of the function and then find its mi...

Q: In certain conditions , the atmospheric pressure (p) in the height (h) is given by p=29e-0.000034h. ...

A: To express the height (h) in terms of atmospheric pressure (p) by given equation:

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is b...

A: Let the length of the wire that is cut for the square be x and length of the wire cut for the triang...

Q: Use the function to find the absolute minimum and maximum and the local minimum and maximum.

A: At x=5 , y value is lowest. (y=2)So this is the absolute minimum. 

Q: Solve: the integrand (pi/3 sin5x) dx on the integral pi/2 to 3pi/2

A:

Q: Question 13 What is r' (k) when k 3 and r(x) (2)6 Select the correct answer below: 618 (6ln 6+ 3) O ...

A: Given,

Q: Find the standard equation of the circle and then graph it. Center (-1,-5), radius 10

A: Given,

Q: how do you use the one-to-one property of property of logarithms to solve? step by step please

A: Given:

Q: Calculus Question

A: Given,

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: find the concavity... f(x)=xsqrt(9-x^2)

A: To determine the concavity of the function f(x).

Q: find the antiderivative: 8cos2x

A: Let u=2x, from there find dx.

Q: Is the following series convergent or divergent? If it is convergent, find the sum. If it is diverge...

A: Given,

Q: Identify which of the following statements are true f(x) х 0 for x 1 (b) f(x) True False f'(x) 0 for...

A: Since f(x) is increasing for x<1 and also for x>1so f'(x)>0 for x<1 and also f'(x)<0 ...

Q: Consider the following function on the domain [-5, 5]. f(x) 18(4.5*) 18(0.5*) Locate any relative ex...

A: Consider the given function: