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After a long study, tree scientists conclude that a eucalyptus tree will grow at the rate...
solve the initial value problem: y'''+y''-6y'=0 ; y(0)=1; y'(0)=y''(0)=1
Consider f left parenthesis x right parenthesis space equals space 2 x e to the power...
How much should be delivered every x days to minimize the average daily cost in the...
Use the Chain Rule to find the indicated partial derivatives. u =sqrt( r^2 + s^2) ,...
find the equation of the tangent plane to z= x^2y+2xy at (1,5)
1. Find the equilibrium point for a product D(x)=36−0.004x^2 and S(x)=0.005x^2 Round only final answers to...
Fully describe the plane defined by the equation y - z = 0. Be clear and...
1) Differentiate the function y= 1/ (9x-8)6 2) Find the derivative of dy/dx of the given...
2. Calculate the concentration of two absorbing compounds, A and B, if the absorbance of this...
1) Find the area of the region bounded by the curves y = 2x^2 − 8x...
Evaluate ∫∫Sf(x,y,z)dS , where f(x,y,z)=0.4sqrt(x2+y2+z2)) and S is the hemisphere x2+y2+z2=36,z≥0
Let f ( x ) = − 4 x 2 + 280 x − 1500. Determine...
If X and Y are vectors of magnitude 1 and 2, respectively, with an angle of...
Find the radius and interval of convergence of 1.(a) ∞∑n=0 ((((−1)^n)*n)/(4^n))*(x−3)^n (b)∞∑n=0 n!(x−2)^n
Does a sequence which converges to 3 in such a way that the infinite series also...
Find three numbers whose sum is 3333 and whose sum of squares is a minimum.
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3...
Find the area bounded between the graphs of f(x) = x3 + 11x2 − 11 and...
Suppose that the cost (in dollars) for a company to produce x pairs of a new...
Find the volume generated by revolving the area in the first quadrant bounded by the curve...
Consider the following. f(x)= −7x, x ≤ 2 x^2 − 6x + 3, x >...
Use the Intermediate Value Theorem and the Mean Value Theorem to prove that the equation cos...
Find equations of the following. 3(x − 3)^2+(y − 3)^2 + (z − 2)^2 = 21,...
A volume is described as follows: 1. the base is the region bounded by x=−y2+8y+50x=-y2+8y+50 and...
Calculate the volume of the solid generated by rotating the region bounded by the curves x...
A) A ladder 25 feet long is leaning against a wall. If the foot of the...
Radium decays exponentially; it has a half-life of 1,600 years. Find a formula for the amount,...
f(x) = ex - 2x - 1 = 0 function's [1; 2] there's a root within...
Use surface integrals to find the area of the part of the surface given z =...
find the tangential ocmponent of acceleration r(t)=acos(wt)i + bsin(wt) j at t=0 I found normal component...
Prove that |sinx|≤|x| using the mean value theorem
find the absolute extrema if they exist, as well as all values of x where they...
this is a question from my Calculus class can you explain it for me? "We know...
An open box is made from a square sheet of tin ( 60 in x 60...
Let f(x,y)=xcos(πy)−ysin(πx)f(x,y)=xcos(πy)−ysin(πx). Find the second-order Taylor approximation for ff at the point (1, 2).
6. An open box of maximum volume is to be made from a square piece of...
Find the accumulated present value of an investment over a 6 year period if there is...
Find the derivative of the functions y=cot-1(1/x^2+1) y=(cos-1x)^2 y=tan-1(x^2sinx^3) y= In(1/1+x^2) y=(In(1+x^5))^2 y=(cos(x^2+1)^7
find first 3 nonzero terms of taylor polynomial fx=cosx at x=3pi/2
Use Laplace transforms to find the solution of ?′′(?) + 2?′(?) + 2?(?) = 2 with...
I=interval with rl #'s which has x=0. f(x) is an odd function that is differentiable on...
Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the...
A graphing calculator is recommended. For the limit lim x → 2 (x3 − 2x +...
Consider the set Pn of all partitions of the set [n] into non-empty blocks, that is:...
Find the components of the horizontal force F = <−4, 0> in the directions parallel to...
let r(t) = < x(t), y(t)>, a<t<b, be a smooth curve and F(x,y) = xi+yj, the...
Find the minimum distance from the point (1,-6,3) to the plane x − y + z...
A tank of water is 15 feet long and has a cross section in the shape...
(3) solve the homogeneous equation x^2dydx= x^2+ xy+ y^2
A conical water tank with vertex down has a radius of 14 feet at the top...
17) The total cost (in dollars) to produce qq units of a good is given by...
2. Use Green’s Theorem to evaluate R C F · Tds, where C is the square...
Consider the hyperbolic paraboloid with equation z = x^2 - y^2. What is the directional derivative...
Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and...
1. a True or False? If ∫ [ f ( x ) ⋅ g ( x...
We will find the maximum and minimum values of f(x, y) = xy on the ellipse...
You are a lifeguard and spot a drowning child 40 meters along the shore and 50...
Find the work done by F(x,y)= <3x^2y+1, x^3+2y> in moving a particle from P(1,1) to Q(2,4)...
there are 5 parts to this question 1.Find the area of the region R enclosed by...
Intergrate: (a) 12sin^6(x)cos^2(x) dx (b) (x-7)/(x+9)(x-2) dx
Question 10: A ladder 13 ft long rests against a vertical wall. If the bottom of...
Evaluate ∫c(1−xy/2)dS where C is the upper half of the circle centered at the origin with...
Dp326 Cal Let s(t)=3sin(t) t=pi/3 find average velocity over the following intervals. show work a.( pi/3,pi/3...
Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to...
Classify this serieses whether its absolute convergence or conditional convergence or diverge (1) sigma n=1 to...
A rectangular box without a lid is to be made from 48 m2 of cardboard. Use...
Find all the second-order partial derivatives of the following function. w=(3x-4y)/(3x^2+y) d^2w/dx^2 d^2w/dy^2 d^2w/dydx d^2w/dxdy
Find the gradient ∇f and the directional derivative at the point P (1,−1,2) in the direction...
how do find the radius of convergence?
find y' for the function 1. (y-2)^7=3x^2+2x-2 2. 3y^3+2x^3=3 3.(4y^2+3)^4+3x^5-5=0 4. 4x^2+3x^2y^2-y^3=3x
y′′+3y′+2y=2e−tt with initial condition y(0)=1,y′(0)=2
A fence is to be built to enclose a rectangular area of 800 square feet. The...
1. A six-sided box has a square base and a surface area of 54 m^2. Let...
assume that revenue, R(x), and cost, C(x), of producing x units are in dollars: R(x)=9x-2x^2 C(x)=x^3...
We wish to sketch the graph of the function f(x)=x^2−3x+1/ (x−1)^2 Find all the critical numbers...
solve the following: A) cos x = -(1/2) on [0, 2pi] B) sin x = (-sqrt...
1. Consider the following situation: The universal set U is given by: U = {?|? ?...
Sketch the graph of the function f(x) = x − 4 / x + 4 using...
The tank of a tanker truck has vertical elliptical ends with major axis vertical. The major...
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