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Calculus Questions
Find the flux of the curl of field F given by: F=-3zi-8xj-4yk; through the shell S...
A university is trying to determine what price to charge for tickets to football games. At...
Draw a diagram of the region of integration. Then reverse the order of integration and evaluate...
Find the equations of ALL tangent lines to the curve x 2 + 4y 2 =...
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x)...
Find the area enclosed by the loop of the curve x^3 + y^3 =3xy
In Exercises 7–20, find the arc length of the graph of the function over the indicated...
1. Find the critical numbers of the function. g(t) = √ t(1 − t). Simplify answer...
FIND THE GENERAL SOLUTION step by step y"+6*y'+9*y=3*e^-3x
Find f. f ''(x) = 6 + 6x + 24x2, f(0) = 5, f (1) = 13
Estimate the area under the graph of f(x)=f(x)=3x^2+6x+7 over the interval [0,5] using ten approximating rectangles...
Let f (x) = (5x − 1 )/(x+ 7) . Find f ' (x). First set...
Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the following for each...
Find the arc length of r(t) = from (1,0,0) to (-1,2,0)
Find the volume of the solid generated by revolving the region enclosed by the triangle with...
Look this DE: d2 y(x) / d x2 + 8(d y(x) / d x)+2y(x) = x...
Find the equation of the tangent plane of the surface implicitly defined by xy^2z^3=8 at the...
1) Using the right endpoint with n = 4, approximate the area of the region bounded...
1. Charles invests his life savings of $4000 in an account that earns him an annual...
Q8) Let u(x) = 2x2 and f (x) = [u(x)]3 = 8x6. Which of the following...
Find the average value of the function on the given interval/ f(x) = 2x^2 . e^(2x)...
sigma(k=n)(infinity) (1/3)^k is equal to?? (non sigma notation version, only numbers)
particle of mass m in R3 has position function r(t) =<x(t),y(t),z(t)>. Given that the tangent vector...
4. Consider the line L(t)=〈3−2t,0,2+t〉. Then determine if it is parallel, perpendicular, or neither L is...
Using logarithmic differentiation, what is the derivative of y= x^3/4 (x^2 + 1)^7 / (cosx)^8
1. Given that 1 /1−x = ∞∑n=0 x^n with convergence in (−1, 1), find the power...
approximate the function f(x)= 1/sqrt(x) by a taylor polynomial with degree 2 and center a=4. how...
Let’s now complete the “open box” question mentioned in the previous question. Suppose we have 1200in2...
particle in R2 travels along a circle centered at (h,k) with radius a > 0. Parametrize...
A rectangular storage container with an open top is to have a volume of 20^3. The...
Aspire Cable Company actively promoted sales in a town that previously had no cable service. Once...
= x if x < 1 5 if x = 1 2 − x2...
Water is leaking out of an inverted conical tank at a rate of 10,500 cm3/min at...
1) The demand and supply functions for a certain product are given by p = 150...
Set up an integral to find the volume of the solid generated when the region bounded...
The vector field F with rightwards arrow on top left parenthesis x comma y right parenthesis...
You are planning to make an open rectangular box from a 9in by 17in piece of...
Use the Midpoint Rule with the given value of n to approximate the integral. Round the...
1)If f(x)=2x-2 and g(x)=3x+9, find the following. a) f(g(x))=? b) g(f(x))=? c) f(f(x))=? 2)Let f(x)=x^2 and...
1 .Answer the following questions about the arithmetic sequence 2, 5, 8, 11, .... . Find...
Let X be the region bounded by y=x and y=x^2. Sketch the region X and find...
the area between the curves y = −x^2 + 5 and y = 2x + 2....
Quesiton: Compute the surface integral of f(x,y,z)=x^2 over z=sqrt(x^2+y^2), 0<=z<=1.
Given the function g(x) = x3-3x + 1, use the first and second derivative tests to...
3 The following is from page 26 in the eighth-grade textbook MathScape, Family Portraits. A farmer...
Stokes' Theorem is the generalization of the circulation form of Green's Theorem in the x y-plane....
Find an equation of the tangent plane at the given point: F(r,s)=2s^(−3)−r^3s^(−0.5) , (−2,1)
Suppose that over a certain region of space the electrical potential V is given by the...
If F(x) = f(g(x)), where f(−5) = 8, f '(−5) = 4, f '(−3) = 4,...
Use the integration capabilities of a graphing utility to approximate the work done by a press...
Consider the lamina of uniform density ρ bounded by y = 4, y = x2, 0...
Calculate the Taylor polynomial T4(x) of degree 4 about 0 for f(x)=x*tanh(x) hint: recall that x*tanh(x)=(xe^x...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
A photographer stands 200 meters from the launch site of a hot air balloon. The balloon...
Approximate the area under the curve over the specified interval by using the indicated number of...
A conical container of radius 5ft and height 30ft is filled to a height of 16ft...
Part B:1. Verify the Green’s Theorem for ∮ (3? − ?) ?? + (4?) ??, where...
Evaluate the definite integral by the limit definition (Riemann’s sums). definite integral 6 to 1 (?^2+2)??
Calculate the volume obtained with respect to one-fourth of a circle with radius a and the...
the parabola y^2=12x is shifted up 2 units and left 3 units. find an equation for...
Determine the solution to the initial value differential equation y′=0.0016y(3000−y),y(0)=260 b) Determine x for which y(x)...
You are looking to spruce up your garden by making a rectangular enclosure using a wall...
Find an equation of the tangent line to the curve y=x^2(3-x) where x=-2
A helicopter flies from the airport on a course with a bearing of 21 degrees°. After...
Compute the surface area of the part of the surface z = y^2 above the triangle...
1)Find the volume of the solid whose base is a circle with equation x^2+y^2=36 and cross-sections...
find the general solution of following ”AIRY” ODE y’’+6y=0
Solve the initial value problems . 3. d2ydx2=1-5x;y'0=2, y0=4 &n
1) Suppose that p(x)=∞∑n=0 anx^n converges on (−1, 1], find the internal of convergence of p(8x−5)....
Evaluate the following indefinite integral: ∫x^2/√(16+x^2 )dx Evaluate the following indefinite integral: ∫xe^2x dx
f(x) = e x ln (1+x) Using the table of common Maclaurin Series to find the...
Examine the function f(x, y) = 2x 2 + 2xy + y 2 + 2x −...
Find the volume of the tetrahedron whose vertices are P(1,2,3), Q(2,4,6), R(2,3,4,), and S(4,1,5)
The temperature T in a metal ball is inversely proportional to the distance from the center...
What is the radius of the sphere given by x^2 + y^2 + z^2 - 10x...
We know that when a particular amount of money P, called the principal, is invested at...
Use the formal definition of limit (epsilon-delta definition) to prove that lim x--> 3 (x^2 +...
Suppose that f(x)=x^4-3x^3. (A) List all the critical values of f(x). Note: If there are no...
Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams...
please write neatly and use as many papers as it take to form a cohesive and...
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