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Calculus Questions
The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 +...
y^''+y^'-2y=10sinx-9xe^-2x , solve by Undetermided Coefficient Method
A. For the region bounded by y = 4 − x2 and the x-axis, find the...
1. Compare the values of dy and Δy for the function. Function x-Value Differential...
1. Find y". y = ( √x - 7) -3 2.At time t ≥ 0, the...
A closed rectangular box is going to be built in such a way that its volume...
After a large number of drinks, a person has a blood alcohol level of 200 mg/dL...
A cold drink initially at 34 degrees fahrenheit warms up to 37 degrees in 4min while...
Find (a) a vector-valued function, (b) parametric equations, and (c) a Cartesian equation for the line...
The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the...
A farmer has 800 ft of fencing, and wants to fence off a rectangular field that...
Find the interval of convergence of the power series. (Be sure to include a check for...
A study of the demand for air travel between two cities depends on the airfare according...
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
Determine where series converges or diverges: ∑(-1)n(n!)2/(2n)!
In the year 2000, the population of a small city was 50,000. The population grows at...
tan plane at (1,1) v(j,k)= ln(10j^2 2k^2 + 1)
Solve each equation. (a) 5·32x−1 = 20 (b) 4x+5/3=x-3/4 2)Find the local extrema of the function...
Find the power series expansion for the function g ( x ) = 2 x /(...
Find the values of a and b that make f continuous everywhere. f(x) = x2 −...
Q‒5. [8+4+8 marks] Let Find the eigenvalues of A and the corresponding eigenvectors. Find a matrix...
Use the Chain Rule to calculate the partial derivatives ?(?,?)=cos(?2+?2) ?=2?+3?, ?=3?+3? ∂?∂?= ∂?∂?=
A graphing calculator is recommended. For the function, do the following. f(x) = 20 − 3x2 from x...
A) Show that there exists a real root of the equation in the given interval cos...
Next Check 0/1 pt Retries 3 Reattempts 19 Info Details Find the volume of the so
A company's sales rate is x2e−x million sales per month after x months. Find a formula...
2 d2y/dt2 + 2 dy/dt + 2y = sin(2t) in steps please
Find the first four nonzero terms in a power series expansion about x=0 for a general...
a) Find the intervals over which f is increasing or decreasing. b) Find the local maximum...
Answer t or f. and justify. a) there is a closest positive number to zero. b)...
Find the first four nonzero terms in a power series expansion about x=0 for a general...
The given equation has one real solution. Approximate it by Newton's method. (x^3)+2x-2
A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation....
a ladder 15 m long leans against a wall. The ladder slides down the wall at...
For each equation, decide which type of conic section each equation represents (parabola, ellipse, hyperbola, circle)....
Find vector and parametric equations for: a) the line that passes through the point P(9,-9,6) parallel...
use spherical coordinates to calculate the triple integral of ?(?, ?, ?)=?2+?2 over the region ?≤8...
Use spherical coordinates to calculate the triple integral of ?(?, ?, ?)=?f(x, y, z)=y over the...
Find the global extrema of the function f(x) = (x^2 - 1)^1/3 on the interval [-1,2]
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
The quantity of charge Q in coulombs (C) that has passed through a point in a...
Suppose a force of 10 N is required to stretch a spring 0.1 m from its...
Use the Shell Method to find the Volume of rotating the area under y = x2...
A particle moves according to a law of motion s = f(t), t ≥ 0, where...
Aeryn and Leeloo are flying through a star system, when they recieve a transmission from a...
A particle in R^2 travels along a circle centered at (x, y) with radius r >...
Obtain the general and particular solution of the DE d2 y(x) / d x2 + (1/2)...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
The cost function for production of a commodity is C(x) = 352 + 29x − 0.06x2...
Find the inverse of the following: A) f(x)= 6x+54. B)g(x)= 3sqrt x+7
Suppose a(t)= (15/2)square root(t) + 6e^-t, v(0)= -6, and s(0)= 7. Find s(t). Please show work
Write the equation of the sphere in standard form. x2 + y2 + z2 + 2x...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
How to sketch the graph of the function f(x) = 2x2 / 9 − x2 .plot...
Integrate the following with respect to their variable 1. (11-3x) / x2+2x-3 2. (2x2-9x-35) / (x+1)(x-2)(x+3)...
Stokes' Theorem is the generalization of the circulation form of Green's Theorem in the x y-plane....
please be neat and fully explain all steps. will vote. can you give me a double...
The rate at which a drug leaves the bloodstream is proportional to the concentration of the...
True or false. Discuss why the answer is true or correct the statement if its false....
Problem Two (8 Marks) Consider the following Data: ?(15) = 24, ?(18) = 37, ??? ?(22)...
a.)Consider the function f (x) = 3x/ x^2 +1 i) Evaluate f (x+1), and f (x)+1....
4) A University’s math department offers two courses: Finite Math and Applied Calculus. Each section of...
find d^2y/dx^2for 3y^2-xy+2x^2=9
Tritium, used in some glow-in-the-dark watches, has a half-life of approximately 12.3 years. How many years...
solve the initial value problems y" - 2y' + y = 2x^(2) - 8x + 4,...
Prove Gauss's Theorem for vector field F= xi +2j + z2k, in the region bounded by...
Solve the differential equation dy/dx = 10x + 5y/ 5x + 10y Write your solution without...
Solve the separable differential equation for u du/dt = e^2u + 9t . Use the following...
Given the parametric equations x=t-ln(t), y=t+ln(t), determine when the curve is concave up
As the financial consultant to a classic auto dealership, you estimate that the total value (in...
PLEASE USE TWO dy-INTEGRALS Let R be the region in the first quadrant bounded by the...
Suppose f(x,y) is a function for which ∇f(15,2) = <6, -3>. Suppose g(t) = f(t2-1, sqrt(t))....
r^2=9sin2x (a) What is the width of the area surrounded by the curve above? (b) What...
1. if lim x->infinity+ (5+2X)/(9-6X)=?? 2. what is the value for the same equation if lim...
Consider the function f(x) = √x and the point P(4,2) on the graph f. a)Graph f...
1. Put the following function in the form P=P0ekt. P=8(1.3)^t P=11(1.3)^t 2. For f(x)=(4x−1)3, find the equation...
Find the general solution of the differential equation: y ' − 5y = te^3t Use lower...
A cylindrical package to be sent by a postal service can have a maximum combined length...
A particle that moves along a straight line has velocity v(t)=4t^(2)e^(-t) meters per second after t...
1. Consider the following. h(x)=x 3sqrt(x-5) Find the critical numbers. (Enter your answers as a comma-separated...
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