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Calculus Questions
Determinate the x-intercept of the line tangent to the relationship at the point (1,1) y^(4)+xy=x^(3)-x+2
An airline has a regulation that a passenger can carry a suitcase having the sum of...
find t? x= 2cos(t)+ sin(2t) y=2sin(t)+cos(2t) when x= 0, y= -3
Approximate the zero(s) of the function. Use Newton's Method and continue the process until two successive...
Consider the function and the value of a. f(x) = -5/x-1, a=7 (a) Use mtan =...
A farmer wants to fence in a rectangular plot of land adjacent to his barn. No...
A sphere with a radius of 3 units is cut with a plane at a distance...
Evaluate the limit using L'Hopital's rule lim 5cos(7x)sec(−3x) x→π/2
how do you find the cross product of vectors ?
Two sides of a triangle have lengths 12 m and 17 m. The angle between them...
Consider the parametric curve C defined by the parametric equations x = 3cos(t)sin(t) and y =...
If the tangent to the curve y = a tan^-1(x) has a slope equal to 1/2...
Consider the curve r = 2 - 3sin (theta). Give a vector equation of the tangent...
(a) Let E be an encryption function and A a function that can be used to...
Q1 If r(t) = (2t2 - 5)i + (t - 2)j + (4t + 10)k, find...
(part a) Assume that x and y are positive functions of t. If x2 + y2...
Find the derivative ? = (4? 2 + 2)(1 − 3?)
Find a unit vector that has 30 degrees with the x-axis, and makes the same degree...
A mass weighing 32 pounds stretches a spring 2 feet. The mass is initially released from...
Solve Inverse Laplace transform with clear steps for F(s) = 2 / (s+1)(s+2)^2
Does the sequence (Cos2n/20n) converge or diverge?
f(x) = −x^2 + 5x and g(x) = 3x − 3 Find the area of the...
Find the volume V of the solid obtained by rotating the region bounded by the given...
An office supply company manufactures and sells X permanent markers per year at a price of...
integration of (x^5)/(x^2+sqrt(2))dx
The electric potential (V) at a certain point in space is given by: V(x, y, z)...
Find the Jacobian of the transformation. x = 3u + 4v, y = 2u + 5v
Each unit of a product can be made on either machine A or machine B. The...
Answer the following questions for the function f(x)=x√x2+1f(x)=xx2+1 defined on the interval −5≤x≤7-5≤x≤7. f(x)f(x) is concave...
solve x^2<=|5-6x| x^2<=|5-6x|
prove that the equation of the plane tangent to the sphere x^2 + y^2 + z^2...
use implicit differentiation to find the slope of the tangent line to the curve defined by...
1. Find the antiderivative: indefinite integral( sec^2(sqrt(x)dx (a) State substitution. Use w for new variable (b)...
1. Find the volume of the region between x = -y^2 + 4 and x =...
If the region in the first quadrant bounded by the curve y = ??b. Find the...
Evaluate the line integral, where C is the given curve. xyeyz dy, C: x = 3t, y =...
Solve the following initial value problem. y(4) − 6y′′′ + 5y′′ = 2x, y(0) = 0,...
definition of a Taylor series to find the first 4 nonzero terms of the power series...
Find general solution to x2y''-4xy'+6y=x using variation of parameters (may take granted that y=x2 and y=x3...
Use the demand equation to find the revenue function. Sketch the graph of the revenue function,...
f(x) = 4x^2-5x+6 a) Find the slope in between where x=2 and x=3 b) Find the...
Find the slope of the tangent line to the curve −4x^2−3xy−2y^3=1 at the point (1,−1)(1,-1).
1) A company’s total sales (in millions of Turkish Liras) ? months from now are given...
Integral root(x)ln(x)dx
If r=30−−√r=30 cm and h=12h=12 cm to the nearest millimeter (|dr|≤0.1 and |dh|≤0.1)(|dr|≤0.1 and |dh|≤0.1), then...
Find the first 5 non-zero terms of power series (1-x^2)y''-2xy'+2y =0
When Ricky is 32 years old, she begins investing $200/month (K=$2400) for 40 years at 5%...
10. Find the derivative . SHOW WORK. a.) y=csc^(-1) (3x) Derivative: _______________________ b.)y=cot^(-1) √x Derivative: _______________________...
Find the lines that are (a) tangent and (b) normal to the curve at the given...
6. Suppose that functions f and g and their derivatives with respect to x have the...
An investment of 9,000 earns interest at an annual rate of 7% compounded continuously. Find the...
Let f(x, y) = sqrt( x^2 − y − 4) ln(xy). • Plot the domain of...
Let u=<a+1, b, c+1> find and describe all vectors v such that |uxv| =2 u.v a=7...
Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three...
For the equationdydx=f(y) = (y−1)(y+ 2)2, do the following:(a) Draw the graph off(y) versusy.(b) Determine the...
Using polar coordinates, FInd the volume of the ellipsoid x^2+y^2+7z^2=16.
Find two unit vectors orthogonal to both 2, 4, 1 and −1, 1, 0 .
A gun is fired with angle of elevation 30°. What is the muzzle speed if the...
If an arrow is shot upward on Mars with a speed of 67 m/s, its height...
Calculate the surface area of the rotary formed due to the rotation of the arc x...
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux...
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux...
Let W be the work (against gravity) required to build a pyramid with height 4m, a...
Find the point on the curve y = sqrt (x) that is closest to the point...
Find the Taylor series for f ( x ) centered at the given value of a...
A company determines that its demand function is given by p(q)=−0.8q+2268 and that its cost function...
what is the area between the curves y=x^3+x^2-1 and y=2x^2+2x-1
Evaluate C F · dr using the Fundamental Theorem of Line Integrals. F(x, y, z) =...
Evaluate S (9x + y − 2z) dS. S: z = x + y/2 , 0 ≤...
(1 point) Let P(t) be the performance level of someone learning a skill as a function...
Given: fx=lnx ; x0=2 State the first 5 terms of the Taylor Series for the given...
For each of the following equations, and the specifically noted domains and co-domains (input and output...
Evaluate C F · dr using the Fundamental Theorem of Line Integrals. F(x, y, z) =...
solve cos(x)=x^2 using Newton's Method accurate to eight decimal places. Show all steps in solution. How...
You throw a tennis ball North with an initial speed of 24 feet per second, at...
Find parametric equations for the tangent line to the curve with the given parametric equations at...
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 SHOW WORK
Section 2 Problem 4: a)Find the area of the surface obtained by rotating the curvex=1/3((y^2)+2)^(3/2), 1<=y<=2,...
Find the curvature of the curve r(t) = <etcos(t), etsin(t), t> at the point (1,0,0)
Find (if they exist) the largest and smallest value of the function f (x, y, z)...
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