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Calculus Questions
Parameterize the curve using the arc-length parameter s, at the point at which t=0t=0 for r(t)=e^tsint...
a. Find the critical numbers of the function on the interval ( 0 , 2 π...
Find the slope of the tangent line to the parametric curve indicated by the equations below:...
Find a linear equation whose graph is the straight line with the given property. Through (2,-2)...
1. Use f(x) as defined below to complete parts (a) - (f). Draw an accurate graph...
Grade 12 Calculus Question Ryan, in his canoe is trying to cross a river that is...
A baseball is hit from a height of 4.6 feet above the ground with an initial...
(x2+2)y^'' + 4xy^' + 2y = 0 , y(0) =0 , y^'(0) = 1 Solve by...
How do you calculate the minimum cost?
Please solve these 2 questions step by step trying to learn for an exam. 1.Find an...
The position function of an object moving horizontally along a straight line as a function of...
use the limit laws to explain why the sum and difference shortcuts for finding derivates are...
Let a set S1 be the circle x2 + y2 = 1 and let set S2...
Suppose L=20 henrys, R = 10 ohms, C = 1/200 farads, E = 50 volts, q(0)...
Find all second partial derivatives of the function: f(x,y) = x2y - 3xy3
Find the area of the region between the curves x=4-y² and x=y²+2y
You can run at a speed of 6 mph and swim at a speed of 3...
Compute the gradient of the function fx,y,z=cos(xy+z) Solution: Find the divergence and the curl of the...
For the following integral Sketch the region of integration. Reverse the order of integration. Evaluate the...
tan23*tan67
A barrel has the shape of an ellipsoid of revolution with equal pieces cut from the...
1. (1 point) For the curve given by r(t)=〈−7t,−4t,1+7t2〉r(t)=〈−7t,−4t,1+7t2〉, Find the derivative r′(t)=〈r′(t)=〈, , , 〉...
Solve the differential equation by using variation of parameter method y^''+3y^'+2y = 1/(1+e^2x)
Solve differential equation by using variation of parameter method y^''+y= cosx/sinx
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of the function. (Enter your answers...
Find the locations of local minimum and maximum of X9 - 4X8 using the second derivative...
If an arrow is shot upward on Mars with a speed of 67 m/s, its height...
A fence is to be built to enclose a rectangular area of 18001800 square feet. The...
(a) Explain how to know when a function decreases at an increasing rate. Use the first...
Find the potential function f for the field F. F = 10x9y4z9i + 4x10y3z9j + 9x10y4z8k...
Find the area between line y = 3-x and circle x ^ 2 + y ^...
Calculus. Definite Integral. Use the velocity function of the car v(t) = (1100/3)e^(-0.03t) - (462/5) to...
Let ?(?, ?) = ?^2 sin(?^2 + 4?). Determine the following derivatives (no need to simplify)....
Generate the Taylor Polynomial of degree 7 for: f(x) = sin(x) + x Where: c =...
A box with a square base must have a volume of 120m^3 . The cost of...
Let u = <10,7,7> find and describe all vectors v such that u x v =...
Trig Substitution : Completing the Square In Exercises 33–36, complete the square and find the indefinite...
Evaluate Integral of ((cosh x) / (9-sinh^2(x))) dx Limits: a=ln7, b= ln9
Find the center of the mass of a solid of constant density that is bounded by...
A shoe company sells x shoes at price p = 500-x. The cost for production is...
Determine whether the given series are absolutely convergent, conditionally convergent or divergent: a.) sigma ∞to n=0...
A small body moves on a straight line. Its velocity equals three times the reciprocal of...
Find the point on the line 3x + y = 7 that is closest to the...
Suppose a mass weighing 64 lb stretches a spring 2 ft. If the weight is released...
f(x)= x−cos(x) on the interval [0,2π] a. Find the Y intercept b. Is it increasing or...
Find the circumference of the ellipse with the equation r(t)=costi+2sintj+0k. Round the answer to three decimal...
Find the f' (x) for the question below. show all the steps (a) ?(?) = ?^2...
Calculate the volume of the upper half of the unit sphere using a double integral.
Use Lagrange Multipliers to find the extreme values of f(x,y,z) = x2 + 3y subject to...
Find an equation for the line tangent to the circle x^(2)+y^(2)= 25 at the point(3,−4).
. For the quartic function f(x) = ax4 + bx2 + cx + d, find the...
John wants to build a new running track that consists of a rectangle and two semicircles...
Solve the initial value problem 3y'(t)y''(t)=16y(t) , y(0)=1, y'(0)=2
Write and evaluate the definite integral that represents the volume of the solid formed by revolving...
Use Newton’s method to find all solutions of the equation correct to six decimal places: ?^2...
find the maclauren series of f(x)=cos(2x)
Suppose that f(2)=6 and that f′(x)=xln(x). Find f(4).
A Norman window has the shape of a rectangle with a semicircular top. The height of...
Sand is being dumped from a conveyor belt at a rate of 30 ft3/min. The sand...
Given the level surface S defined by f(x, y, z) = x − y3 − 2z2...
a) If F(x) is an analytic function and either Re(F(z)) or Im(F(z)) is a constant, then...
Solve the differential equation by UC Method. Do not evaluate the exact value of coefficients. y^''-4y^'+3y=...
Solve the differential equation by UC Method. Do not evaluate the exact value of coefficients. y^'''+y^''-4y^'-4y=8x+8+6e^-x
A company plans to manufacture a rectangular box with a square base, an open top, and...
Estimate the area under the graph of f(x)=1/x from x=1 to x=2 using four approximating rectangles...
The population of a bacterial culture develops with constant relative growth rate of 0.9758 per member...
(a) Is the vector field F = <e^(−x) cos y, e^(−x) sin y> conservative? (b) If...
chapter 8.6 problem 12 Find the Taylor series about the indicated center and determine the interval...
2. An oil company sells 150-liter barrels at $100 each. The company estimates that for a...
Use the given transformation to evaluate the integral. 6xy dA R , where R is...
use Laplace Transform to show that y=t is the solution to the IVP y''+ty'-y=0, y(0)=0,y'(o)=1
1.Television Viewership The number of viewers of a television series introduced several years ago is approximated...
(a) Find the most general antiderivative of the function f(x) = −x^ −1 + 5√ x...
Consider the curve r(t) = cost(t)i + sin(t)j + (2/3)t2/3k Find: a. the length of the...
consider the function y = 6x^2 /x+2 a) determine the vertical and horizontal asymptotes. b) complete...
Solve the given initial-value problem. y'' + 4y = −3, y(π/8) = 1 4 , y'(π/8) =...
y''+y'-9=0 subject to y(1)=1 and y'(1)=0
Consider the recurring number 3.333333…….. a) Write this number as the sum of n terms of...
Find the volume of the solid that lies under the paraboloid z=2x2+2y2 above the xy-plane, and...
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