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Calculus Questions
1-Find two positive numbers satisfying the given requirements. The product is 238 and the sum is...
Find the average value of the function f(t) = 3t^2 - 2t over the interval [-1,3]....
A rectangular swimming pool is to be built with an area of 800 square feet. The...
Write the second order differential equation as a system of two linear differential equations then solve...
Question A: Part of being able to do integrations is choosing a good method without knowing...
The demand for a certain product is Q(x,y) = 200 − 5x2 + 13xy units per...
A rectangular box with an open top is to be made from a 13 -in.-by- 48...
suppose that f'(x)=3x^2+2x+7 and f(1)=11. find the function f(x)
Chemical Mixtures Two chemicals react to form another chemical. Suppose the amount of the chemical formed...
Determine whether the improper integral from 5 to infinity 3/square root x dx converges or diverges,...
Find the maximum and minimum values of the following function, subject to the given constraint. Maximize...
Since the year 2005defense spending (in millions of dollars) in the country of Warpeas can be...
Find the point on the line −3x+4y−1=0 which is closest to the point (2,−1).
The growth rate of a colony of ants is given by the formula 10t(1+t2)2 where t...
1. Determine the producer's surplus for the given supply function and demand level x. (Round your...
A person's average weight increases with height through approximately the end of the teenage years. ...
solve the following ED by reducing it of order: y´´ = 16 + (y)´^ 2
Estimate the area under the curve f(x) = sin(x) from using 6 subintervals and a right...
Consider the line L with parametric equations x = 5t − 2, y = −t +...
Use the shell method to find the volume of the solid generated by revolving the plane...
A manufacturing company of a certain product has a fixed cost of $40 and a variable...
Use differentiation to find a power series representation for the following function: f(x) = x/ (1...
Compute the average value of the function f ( s ) = sin^5 s cos^6 son...
To the best of your ability, measure and record each side of a window in your...
1. Find y' if sin y + 2x^4 = e^x + 4y + xy^3 2. The...
The acceleration of a falling body near the earth’s surface is 9.8 meters per second per...
Use the Chain Rule to find dz/dt. (Enter your answer only in terms of t.) z=sqrt(1+x^2+y^2),...
# 12 In Exercises 9–12, determine whether Rolle’s Theorem can be applied to f on the...
A rectangular storage container with an open top is to have a volume of 10 m3....
Suppose a, b and c are the direction angles for the vector . If a =...
Write down the trigonometric and exponential expressions of the following complex a) -2 b) 1-cosΘ +isinΘ...
Let g(u, v) = f(u 3 − v 3 , v3 − u 3 ). Prove...
Find the solution to the following equation using an appropriate integrating factor. Include largest interval solution...
Find all critical values for the following function. Use the first derivative test with a sign...
Find the area of the region that lies inside the first curve and outside the second...
On a certain clock the minute hand is 12 in long and the hour hand is...
F · dS for the given vector field F and the oriented surface S. In other...
a) On a planet where the acceleration due to gravity is given by a(t) = -8m/s^2,...
Find the dimensions (i.e. length, width, height) of a box (with a top) that has a...
sketch graph of a function that continuous on [1,5] an absolute minimum value at x=4 an...
1. The absolute maximum value of f(x) = x 3 − 3x 2 + 12 on...
Find this integral using Integration By Parts; use the Tabular D.I. method. ∫ e^(5x) cos x...
Your underground used-book business is booming. Your policy is to sell all used versions of Calculus...
Find the volume of the solid generated by revolving the region bounded by x2−y2=16, x≥0, y=−4,y=4...
a. *If y=x3+7/x^2/3 , then find dy/dx . Make sure your answer is fully simplified. b....
A fence is to be built to enclose a rectangular area of 280 square feet. The...
let the equation F(16) = -16t^2 + 128t +25 represent the height in feet of a...
6. Given the velocity and initial position of a body moving along a coordinate line at...
A boat is pulled into a dock by means of a rope attached to a pulley...
Evaluate the double integral for the function f(x, y) and the given region R. f(x, y)...
Suppose that 3 J of work is needed to stretch a spring from its natural length...
Find an equation of the tangent plane to the parametric surface r(s,t)=4scos(t)i+3ssin(t)j+5tk at when s=4 and t=3π/4...
In this problem, p is the price per unit in dollars and q is the number...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x...
A tank in the shape of a right circular cylinder, with a height of 15m and...
Find dy/dx if y= (x^3+5x)(4x^2+10)^9
Solve y'-3y=2e^t y(0)=e^3-e using Laplace transform.
1. Consider the function f(x) whose second derivative is f″(x)=10x+2sin(x). If f(0)=2 and f′(0)=3, what is...
please I want the solution of this equation: Calculate the maximum and minimum values of a...
Find the area between the following curves. x=-1, x=2, y=ex, and y=5-ex
The function f(x) = 3x 4 − 4x 3 + 12 is defined for all real...
The base of a solid is the region enclosed by y=sin(x), y=0, x=pi/4 and x=3pi/4. Every...
find f"(x) for f(x) = 1 -2x / 4x+5
please show the work for computing the area of the region bounded by the curve provided...
Maloney’s Marker Company specializes in making green and purple markers. Let x be the number of...
Use the definition of the definite integral to evaluate Integral from 2 to 6 left parenthesis...
Find the area of the region bounded between the functions f(x)= x2 – 2x + 2...
Find the minimum value of the average cost for the given cost function on the given...
Find the equation of the tangent line to the graph of y = e x 2−1...
laplace transform y''+y = cos(2t) y(0) =1 y'(0) = -4
Write a polar equation of a conic with the focus at the origin and the given...
You are given that the function f(x,y)=8x2+y2+2x2y+3 has first partials fx(x,y)=16x+4xy and fy(x,y)=2y+2x2, and has second...
Set up the definite integral(s) that represents the area between the curves y = x2 -...
1. (24 pts.) For which integer values of the constant k does the sequence {a1, a2,...
Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...
Find an equation for the hyperbola that satisfies the following conditions. Vertices (−1,1) and (1,1); foci...
Consider the parametric equations x = 5 - t^2 , y = t^3 - 48t a....
Find the fundamental vector product. 1. r(u, v) = (u 2 − v 2 ) i...
1.Determine the producer's surplus for the given supply function and demand level x. (Round your answer...
a) Find the length of the curve given by the parametric equations ? = ? ???...
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