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The cost, in dollars, of producing x belts is given by Upper C left parenthesis x...
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
solve differential equation ((x)2 - xy +(y)2)dx - xydy = 0 solve differential equation (x^2-xy+y^2)dx -...
Employers are increasingly turning to GPS (global positioning system) technology to keep track of their fleet...
Consider the function ?= (2? − 3)^3(−4?^2 + 1)^2 a. Find the derivative of ?. Factor...
Find the absolute extrema for each of the following functions: ?(?)=3?^2―12?+5, [0,3] ?(?)=?/?^2+4 , [0,3] ?(?)=?^4―2?^2+3...
What is the equation of the tangent line to the space curve defined by the position...
The total profit (in dollars) from the sale of x x answering machines is P(x)=20x−0.5x2−280. P...
Solve the initial value problem, if possible. yy'(t) = t8, y(0) = 9
For the equation given below, find dydxdydx. 5x3y2−2x2y=6.5x3y2−2x2y=6. dydx=dydx=
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =...
A rectangular storage container with an open top and a square base is to be constructed....
Find f. f ''(x) = −2 + 18x − 12x2, f(0) = 7, f '(0) = 12
Find the center (h,k) and the radius r of the circle 4 x^2 + 7 x...
The consumer price index compares the costs, c, of goods and services over various years. The...
5. Find the mass of the lamina which is bounded by y = 9 − x^2...
A very tall crane of height h has a pulley and a light on top. The...
Find directional derivative of the function f(x, y, z) = 5x2 + 2xy – 3y2z at...
6.) Let ~r(t) =< 3 cos t, -2 sin t > for 0 < t <...
Calculate the work (in joules) required to pump all of the water out of a full...
Write a structured and mathematically precise 4-6 sentence response to the following prompt: Given a function,...
The length, width, and height of a box are measured as 6 ft, 5 ft, and...
Find the absolute minimum and absolute maximum of f(x,y)=10−3x+8y on the closed triangular region with vertices...
Let F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 8)j + zk. Find the...
. Find the slope of the tangent line to f-1 at the point P(-1, 0) if...
Determine where the given function is concave up and where it is concave down. f(x)= x...
Find f. f ''(t) = 9/square root (t) , f(4) = 27, f '(4) = 9
Find the area of the region bounded by the above curves: y=1/(x+2), y=(x+2)^2, x=-3/2, x=2
The annual revenue earned by Target for fiscal years 2004 through 2010 can be approximated by...
Find two linearly independent solutions of 2x2y′′−xy′+(−2x+1)y=0,x>0 of the form y1=xr1(1+a1x+a2x2+a3x3+⋯) y2=xr2(1+b1x+b2x2+b3x3+⋯) where r1>r2. Enter r1=...
Say you buy a house as an investment for 500000$ (assume that you did not need...
If we want to minimize a function f(x) = e^(x^2) over R, then it is equivalent...
Find ∫C((x2+y)i⃗ +3y3j⃗ )⋅dr⃗ where C consists of the three line segments from (1,0,0) to (1,4,0)...
1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14). Differentiate and Simplify 2. f(x)=ln(3x) e^(-x^2 ) (Answer with positive exponents...
Suppose you invest $10,000 in an account which pays 4% interest per year compounded quarterly. Use the...
1. The consumer price index compares the costs, c, of goods and services over various years. The...
Determine whether the sequence is increasing, decreasing, or monotonic. Is the sequence bounded? an= 9n +...
Let f(x) = x3 + 3x2 - 24x - 10 a) Find the intervals on which...
Show the rectangular box with fixed volume V=27 and smallest possible surface area is a cube....
How would i find the power seies representation for this? f(x) = x ln(3x + 5)....
1. Evaluate ???(triple integral) E x + y dV where E is the solid in the...
1. Find the limit of the sequence whose terms are given by an= (n^2)(1-cos(5.6/n)) 2. for...
find the first partial derivatives of the following function h(x,y)=sqrt((9xz)/(5x-4z)) hx=? hz=?
Find the area of the region that is inside the curve r = 2 cos θ...
Find the area of the region that is inside the curve r = 1 + sin...
Consider the function as representing the value of an ounce of palladium in U.S. dollars as...
Suppose you are climbing a hill whose shape is given by the equation z = 1000...
Complete steps (i)-(vii) below in order to estimate the following values using linear approximation: (a) cos(31π/...
what is the absolute max and min f(x) = x + e^-2x [-1 , 3]
Find the derivative of the function. y = [x + (x + sin2(x))4]6
Ship A is 50 miles directly south of ship B at time t = 0. Ship...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
A manufacturer sends you 100m2 of material to construct a box (single layer, closed top). The...
find dy/dx of xy-sin(xy) =1
A kite 25 ft above the ground moves horizontally at a speed of 9 ft/s. At...
Solve 5dy/dx + 8y = 60, y(0)=0.
Find the horizontal asymptotes if there is any found, explain why or why not
Find the derivatives dy/dx and d^2y/dx^2, and evaluate them at t = 2. x=t^2 ,y =...
Find f(x). f ''(x) = 1/3x3 − 3x2 + 6x
Find f(x). f '''(x) = sin x, f(0) = 1, f '(0) = 2, f ''(0)...
A particle is moving with the given data. Find the position of the particle. a(t) =...
find critical numbers for h(t)= t^(1/4) - 2t^(3/4) please show all work :)
A particle is moving with the given data. Find the position of the particle. a(t) =...
A thermometer is removed from a room where the temperature is 23° C and is taken...
Write the equation of the line tangent to f (x) = x^2 − 5x + 7...
Write 0. 223 as an infinite series and find its sum.
find critical numbers of f(x)=2x^3 + x^2 - 2x please show all work :)
List three ways that we have integrated products. For each method provide an example. This question...
1) Consider the curve y = e^cos(x) . (a) Find y' (b) Use your answer to...
For f(x) xe-x ( a) Find the local extrema by hand using the first derivative and...
Calculate the left Riemann sum for the given function over the given interval, using the given...
temperature in celsius at point (x,y) in equation. T(x,y)=50-0.003x^4-0.004y^2 a.) will temp increase in directiom of...
evaluate the double integral where f(x,y) = 6x^3*y - 4y^2 and D is the region bounded...
Suppose that the total number of units produced by a worker in t hours of an...
Find the distance from the point (1, 2, 3) to the (a) XY plane (b) Y...
Find the area of one loop of the polar curve r=4*sin(3*theta + Pi/3) Let f(x,y) =...
For what values of a (if any) does the boundary value problem x'' + ax =...
Find three positive numbers whose sum is 12, and whose sum of squares is as small...
# 13 If y(x) satisfies the DE y"=x^2y with IC y(0)=12, y'(0)=20, then the first 4...
Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction...
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