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FIND THE VOLUME OF THE SOLID x=2*sqrt(y), x=0, y=9 about the y axis Please do it...
Find the absolute maximum and minimum value of the function ?(?) = 1/(?^2 + 2? +...
For a least-square regression question, the error vector's entries always sum up to zero. Explain why...
What is the area of the largest rectangle which can be inscribed in the ellipse given...
We wish to build a rectangular pen. Three of the sides will be made from standard...
We must build a crate with square top and bottom whose volume is 8000 cubic inches....
Find a unit vector orthogonal to the vectors ? = 〈1,5, −2〉 and ?⃗ = 〈−1,3,0〉.
Find the center of mass of the region R of constant density in the first quadrant...
s] Consider the function f : R 2 → R defined by f(x, y) = x...
use the Linear Approximation Formula to find an approximate value of sqrt((7(2.1)^2) + 4(2.8)^2)
Use logarithmic differentiation to find dy/dx for y = x(sqrt{x^2+1})
lim x→∞ [ln(8 + x^2) − ln(7 + x)] Find the x-value at which f is...
1. find the absolute maximum and absolute minimum values of F on the given interval. f(x)=x/x^2-x+1...
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...
please show steps by steps so i can understand f (x) = (1/4)x^4-24x^2+1 (a) Find all...
please show steps by steps so i can understand f (x) = (1/4)x^4-24x^2+1 (a) Find all...
please show all work so i can understand Write f(x)=ln((x^2 square root(x-4)/(x+1)^3)) in terms of lnx,...
If the profit function for a product is P(x) = 4800x + 90x^2 − x^3 −...
A variable force of 3x−2 pounds moves an object along a straight line when it is...
1. A cookie is tossed from a window, and its height, y (in meters), above the...
For the function y = x 3 − 2x 2 − 1, use the first and...
7. Rotate the region bounded by x = y2 – 4 and x = 6 –...
A particle moves on a circle of radius 5 cm, centered at the origin, in the...
calculate the x intercepts for the graph of y= sin2x- 2 cos x
(a) State the interval on which the solution to the differential equation (x^2-1)dy/dx + ln(x+1)y =...
Find the equation of the tangent plane to the surface 3x^2-5yz=2 at the point (2,-2,-1). Write...
You've decided to sell sweatshirts for the upcoming game. You project that at a price of...
Integrate it using the table of integration: ∫e−5x cos(x)dx . Can you integrate it using some...
Two forces apply: one of 40 Newtons in the 45-degree direction with the positive x-axis and...
Let f(x,y)= x^3 + y^3 +6x +6y. Find its maximum and minimum values subject to the...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. (Enter your answer only in terms of...
Consider the function f(x) = 2x 4 − x. i. Find all relative extrema (i.e. maxima...
Find the curvature κ(t)κ(t) of the curve r(t)=(−5sint)i+(−5sint)j+(−4cost)k
1. Suppose that p(x)=∞∑n=0 an x^n converges on (−1, 1], find the internal of convergence of...
Hi, my question is, how are definite integrals and antiderivatives directly related? an example would be...
Find a) the general solution of the differential equation y' = ( y^2 + 1 )...
Use the limit comparison test to determine whether the series Σ∞ n=1 (2^n)/(3+4^n) converges or diverges....
Consider a function f(x) defined on a closed interval [a,b] find the average value of f(x)...
Given Cost and Price (demand) functions Upper C left parenthesis q right parenthesis equals 120 q...
Find the area of the region between the graphsoff(x) = x2+ 2x + 2 and g(x)...
Question : y''+6y'+9y=0,y(0)=2,y'(0)=1 , 4y''+12y'+9y=0,y(0)=2,y'(0)=2 y''-y'-2y=cosx , y''+3y'+2y=x^2 - e^2x , y''-3y'+2y=sinx , y''-2y'-3y=3e^2x
Part 1 Directions: List the number of sales (Y) at the stated price point (x). Find...
1. Explain why L’Hopital’s rule for 0/0, applied as many times as necessary to get an...
Set up an iterated integral for the triple integral in spherical coordinates that gives the volume...
Determine the largest possible area for a rectangle that can be inscribed in a circle of...
Answer TRUE or FALSE to the following questions. Then, give at least a few sentences to...
For each of the following vector fields F , decide whether it is conservative or not...
Determine if the series, k = 1 to ∞ , with terms (-1)k ((k - 1)/(k3/2...
Does a polar integral relate to circles or rectangles and why?
find the parametric equation for the line segment point (-3,5) and (1,3).
Find the Taylor series for the function using the definition of Taylor series. f(x) = cos2x...
Find the absolute maximum and absolute minimum of f(x) = e^-x * sin(x) on the interval...
If the first derivative function is f '(x) = (x −2) 4 ⋅(x −1) 3 it...
integral using partial fraction decomposition. ( x^3 + 2x + 5) / ((x + 1)(x 2...
Let f and g be functions that satisfy f′(2)=6 and g′(2)=9. Find h′(2) for each function...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
1. f(x)=sin2x find f'(x) and f'(5) 2. f(x)=sin3x find f'(x) and f'(3) 3. f(x)=sin(x3) find f'(x)...
1) A particle is moving on a curve that has the parametric equations x=-4cost, y=5sint, 0≤?≤2?....
3) a) Find a polar equation for the circle x^2 + (y -2)^2 = 4. b)Find...
Two forces are applied: One of 40N in the direction of 45o along the x-axis, and...
Justify: you are able to "find the limit of a graphical function at a point and...
Find the area inside the graph of r =5-4sin (theta)
If an arrow is shot upward on the moon with a velocity of 52 m/s, its...
1. Test the series below for convergence using the Root Test. ∞∑n=1 (2n^2 / 9n+3)^n The...
Given that ? = ?1 ?x + ?2 ?-x is a two-parameter family of solutions of...
Find the measures of the three angles, in radians, of the triangle with the given vertices:...
Consider the function: f(x)=1/(1+x2)2 (a) Find the MacLaurin series of f. (b) Find the interval of...
A thermometer is removed from a room where the temperure is 80F and is taken outside,...
A stone dropped into a still pond sends out a circular ripple whose radius increases at...
1. Find the integral. (3x^8-7x^3+7) dx. 2. The demand equation for a certain product is...
f(x)=24x^3-94^4-11 find intervals of increasing and decreasing.
Evaluate by reversing the order of integration. A solution with clear steps would be appreciated. Thank...
Find the arc length of the curve below on the given interval. Y = x^3+1/4x on...
What is the length of thr projection of the unitary director vector of the line x=1+2t,...
1. a. if f(t)=1/3t e^t, then what is ln(f'(2))? b. f(x) = (25)/(1+x^2), then what is...
1. a) I invested $5,000 into an account earning 5% interest compounded monthly and left it...
Find the solution to the initial value problem y’ = - sin x, y (π) =...
Let S be the surface given by the part of the sphere x^2 +y^2 +z^2 =...
Find the following and graph for f(x)=16x(x-1)^3 f '(x)= f ''(x)= C.V.= increasing: decreasing; Point of...
Find the point of intersection of the lines (x-2) / - 3 = (y-2) / 6...
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