06/27/21

List all of the fourth roots of 9/2((sqrt3)-i) from least to greatest in order of principal values
(cos + i sin ) (cos + i sin ) (cos + i sin ) (cos + i sin )
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06/23/21

How would you solve this?

A plece of wire 46 inches long is cut into two pieces and each piece is bent into a square. If x denotes the length (in inches) of the first piece, express the total area A enclosed by both squares... more
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06/22/21

Calculus Curves
The curves f(x)=x2+5x−5 and g(x)=3x+3 intersect at the point (2,9).Find the angle of intersection, in radians on the domain 0 < t < Pi
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06/22/21

Find the percentage error
Approximate1/98 to four decimal places using the linearization L(x) of f(x) = 1/x at a = 100 and use a calculator to compute the percentage error.(Use decimal notation. Give your answer to two... more
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06/22/21

Largest dimension of cone
A right circular cone is inscribed in a sphere of radius 2 units. What will be the dimensions of the cone with largest volume? JUSTIFY your answer
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06/18/21

Evaluate limits of a function
Evaluate limx→3 x2−x−6/x2(x−3)2If it does not exist because of infinite behavior, describe the infinite behavior using limit notation. 
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06/15/21

periodic functions
Everyday for a week straight, the same high temperature of 72° occurred at 12pm and the same low temperature of 54° occurred at midnight. Find a periodic (sine or cosine) function that best... more
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06/15/21

If the terminal side of an angle θ contains the point (6, -2), find the values of the six trigonometric ratios of θ
b. If tan β= -5/12 and π/2 < β < π , then find cosβc. If sin α= -4/5 and tan α > 0 , then find the remaining five trig functions of α
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06/13/21

A ladder inclined at 60o with the horizontal is leaning against a vertical wall.
A ladder inclined at 60o with the horizontal is leaning against a vertical wall. The foot of the ladder is 3 𝑚. away from the foot of the wall. A boy climbs the ladder such that his distance 𝑧... more
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06/08/21

logarithmic differentiation
Find dy/dx using the method of logarithmic differentiation when y=(3+7x^2)^ln(x)
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06/04/21

Find the volume of the solid by rotating the shaded region about the line x=10
The area of the region bounded by x=8-2y2 and x=1-(1/4)y2Use whatever method is better. Method of disks/washers or shells.
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06/02/21

PLEASE HELP!!! - Trig Calculus
Find the derivative of : y = 9csc2(1/3)x 1 -6 csc(1/3)x csc x cot x 2 -6 csc2(1/3)x cot(1/3)x 3 -18 csc2(1/3)x cot(1/3)x 4 6 csc2(1/3)x cot(1/3)x
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05/31/21

Find the values of a and b that make f continuous everywhere.
f(x)=x^2−4/x−2, if x >2ax2−bx+1, if 2 ≤ x ≤3 4x−a+b, if x≥3A = ?B = ?
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05/31/21

A train leaves the station at 9 AM heading S60º W (at a speed of 100km/h) another train heads North at a speed of 120km/h and reaches the same station at 11 AM
A train leaves the station at 9 AM heading S60º W (at a speed of 100km/h) another train heads North at a speed of 120km/h and reaches the same station at 11 AM. at what time were the two trains... more
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05/30/21

Finding the values of constants a and b
{ ax+3, if x ≤ 5 f(x)={ 8 , if x=5 to be continuous for all x { x^2+bx+1, if x>5 I'm looking at a blank paper for minutes now, and I still don't understand how I... more
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05/29/21

Let f(x,y) = 6x^2 + 3xy + 6y^2 + 3x - 3y + 6.

Find an upper bound for the magnitude |E| of the error in the approximation f(x,y) ~= L(x,y) over the rectangle |x+1| <= 0.4, |y+2| <= 0.4.
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05/28/21

Calculus Mock Exam Practice Question

For t ≥ 0, a small squirrel moves horizontally along a power line (modeled by the x-axis). The velocity of the squirrel at time t is given by v(t) = 1 + 2sin((t^2)/2). The squirrel is 2 feet to the... more
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05/26/21

Find the critical numbers of f
F(x) = 5sin(x)cos(x) on [-pi,pi]1.Find the critical numbers of f2.Determine the intervals on which f is increasing and decreasingI found the derivative but I'm not sure where to go from heref'(x)=... more
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05/26/21

How do I work this problem?
Trash is delivered to a dump-site between the hours of midnight (t = 0) and 6 a.m. (t = 6). Selected values of the rate of delivery are shown in the table below, with t measured in hours past... more
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05/26/21

ASAP in the volume of the solid generated when the region R is revolved about the line y=6.
Find the volume of the solid generated when the region R is revolved about the line y=6.Let the region R be the area enclosed by the function f(x)=x^1/3​+1 and g(x)=1/3​x+1.Find the volume of the... more
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05/21/21

Permutation Question Please Help
How many different ways can 150 guests be divided into 15 groups of 5 for a dance activity at an event?
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05/20/21

Use the Remainder Theorem to find the remainder when f(x) is divided by x - c. f(x) = x^{4} + 8x^3+ 11x^2 ; x + 1x+1
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05/20/21

Applications of Differentiation
Consider the function f(x)= 2sin(x) + [(sqrt3)/2] x2 This function has two inflection numbers A<B in [0,2pi]:A= and B= For each of the following intervals, tell whether f(x) is concave... more
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05/20/21

Applications of Differentiation
Consider the function f(x)= cos(x) - (1/2)x.  This function has two critical numbers  A<B in [0,2pi]. Give the following:    A=B=f''(A)=f''(B)=
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05/18/21

need help please! would love to know how to solve this problem
What are the equations of two lines that pass through the point (-1,-3) and are tangent to the graph of y=x^2+ 1
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