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determine all horizontal and vertical tangent lines if any x=tsint+cost, y=sint-tcost
A particle moves in a straight line and its position is given by s(t)=t^3 - 6t^2-36t...
What is the area of the region bounded by the functions y=x^2 and x=y^2?
Speedometer readings for a vehicle (in motion) at 3-second intervals are given in the table. t...
1. Determine all value(s) of x=c guaranteed to exist by the Mean Value Theorem for the function f(x)=x3+8x2−6x+...
The manager of a large apartment complex knows from experience that 100 units will be occupied...
4. Free Fall from the Tower of Pisa: Had Galileo dropped a ball from the Tower...
Find the area of the region between ?=sin(?) and ?=cos(?) over [3?/4,7?/6]
Find present value and the future of f(x)= 8500 + 42x x is in years, f(x)...
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3...
dy/dx+5y=e^x
Consider the following. y = 6x^4 − 5x − 1/4 − x^2 A)Find the value of...
Use differentials to approximate \root(3)(48.9). Express your answer as a±b/c where a is the nearest integer.
Calculus Fill in the blanks! Suppose f(x) is a piecewise function:f(x) = x + 3, if...
Three ropes are tied to an object; Ye, Huang and Salvador are playing a game of...
Find the values of x, y and z that minimise (x 4 + y 4 +...
Consider the region R bounded in the first quadrant by y = 1 − x. Find...
1, Let f be a function such that f′′(x) =x(x+ 1)(x−2)^2. Find the open intervals on...
Find the equation of the osculating circle at the local minimum of: f(x) = 3x^2 -...
Evaluate the integral. 1/(x^2+6)^2
Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph y^2 -...
part 2 short answers: 1) given that g(2)= 5 and g'(2)=3. linearize g(x) near x=2 and...
1. The revenue (in thousands of dollars) from producing x units of an item is given...
If an open box with a square base has a volume of 46t^3 , what are...
Find the arc length of the curve r(t) = i + 3t2j + t3k on the...
Suppose that 3 J of work is needed to stretch a spring from its natural length...
Water is leaking out of an inverted conical tank at a rate of 9300.09300.0 cubic centimeters...
Earl is ordering supplies. Yellow paper costs $5.00 per ream while white paper costs $7.50 per...
y = | 5x | , y = x^2 - 6 find the area between the...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use...
Find the power series for ?(?) = (5/2+3x) with center ? = 2
Determine the Convergence or Divergence of the sequence with the given n- th term. If the...
X= 0,2,4,6,8,10,12 f(x)=15,19,22,23,22,20,16 Respectively f prime of 2 =? f prime of x is positive when?...
F(x)=6xsin^-1(x) Find F Prime and F prime of .5
Suppose that f(x)=x−3x^1/3 (A) Find all critical values of f. If there are no critical values,...
Sketch the polar cuve and find the polar of the tangent line to the cuve at...
Consider the following. f(x, y) = x/y, P(4, 1), u = 3 5 i + 4 5 j...
Please Find: f(x)=x2+2 1) The derivative of f(x) using the limit definition: 2) The instantaneous rate...
Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through...
Find the Maclaurin Series for x^5/(1 + x^3 )^2 ·
Evaluate C F · dr using the Fundamental Theorem of Line Integrals. F(x, y, z) =...
Solve the following integrals: 1. The integral of 2 (on top) to 0 (on bottom) of...
Use a power series to approximate the definite integral to 4 decimal places: from 0 to...
At noon, ship A is 120 km west of ship B. Ship A is sailing east...
Test for absolute or conditional convergence (infinity, n=1) ((-1)^n(4n))/(n^3+1)
If f(x)equalsStartFraction x squared minus 7 Over x plus 2 EndFraction , where is f not...
If ?(?)=2?^2−9?+5, find ?′(?) by using the definition of derivative. Sketch the graphs* of ? and...
f(5) = 3, f'(−12) = 11, f '(5) = 4, g(5) = −12, g'(3) = 8...
Find the interval of convergence of the power series f ( x ) = ∑ n =...
The Gini index for each of 3 nations is listed below. Which nation has an income...
Convert rectangular coordinate (3,3,1) to cylindrical and spherical coordinate
Does the Maclaurin series for cosx align itself with the cosine graph for all x? (In...
integration by partial fraction decomposition from -2 to 2. (x^3+2)/((x+5)(x+4))dx
A baseball, hit 5 ft above ground, leaves the bat at an angle of elevation of...
Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating...
At noon, ship A is 20 miles west of ship B. Ship A is traveling due...
3. Consider the equation: x^2y −√y = 2 + 4x^2 a) Find dy/dx using implicit differentiation....
Evaluate the slope f′(4.8) of the tangent line to the graph of f(x)=3−78x using f′(c)=limx→cf(x)−f(c)x−c. Write...
Suppose I were to invest $100,000 into a project and suppose I were to see a...
Question The radius of a circle is 4 m with a possible error of 0.05 m....
If f (2) = 1, \ f '(2) = - 3 and g (x) = log_2...
find the solution of the first order differential equation (e^x+y + ye^y)dx +(xe^y - 1)dy =0...
solve differential equation: dy/dx = (4y-2x+14)/(8x-6y-36)
2. A swimming pool drains at a rate of r'(t) = -6t gallons per minute where...
1. Given the point P(5, 4, −2) and the point Q(−1, 2, 7) and R(0, 3,...
1. Solve all three: a. Determine whether the plane 2x + y + 3z – 6...
Suppose that a right triangle has legs of lengths 3 cm and 2 cm. (Note that...
a 3 kg mass is attached to a spring whose constant is 147 N/m, comes to...
Write a Riemann sum to approximate the work done by a force in moving an object...
Find the line determined by the intersecting lines. L1: x=-1+3t y=2+t z=1-2t L2: x=1-4s y=1+2s z=2-2s
Show that the two lines with equations (x, y, z) = (-1, 3, -4) + t(1,...
(1 point) Find the volume of the solid obtained by rotating the region enclosed by y=e^4x+4,y=0,x=0,x=1...
f (x) = x3 - x2 + x Finding the area of the region bounded by...
Consider the curve with equation given by x4-x2y+y4=24 1. verify that the point (-2,2) lies on...
Find the volume of the solid of revolution that forms when the region bounded by the...
A particle moves in the plane so that its velocity and position vectors are always orthogonal....
An archer shoots an arrow from 4 feet above the ground at an initial velocity of...
An athlete puts a 16 lb shot at an angle of 30 degrees to the horizontal...
Speed in tabell In the tabel below is the speed v of an accelerating car, measured...
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