807 Answered Questions for the topic Calculus 1

Calculus 1 Calculus

09/30/18

Solve for all solutions

Solve cos^2(w)=-sin(w) for all solutions 0<=w<2pi w=_____ Answers accurate to 2 decimal places 
Calculus 1 Calculus

09/30/18

Solve for all solutions

Solve 8cos^2(x)+2cos(x)-3=0 for all solutions 0<=x<2pi x=____________ Answers accurate to 2 decimal places
Calculus 1 Calculus

09/30/18

A Ferris Wheel is....

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel... more
Calculus 1 Calculus

09/30/18

Use half angle formulas to fill in blanks

(sin(5x))^4 = ___ -1/2cos(___x)+1/8cos(___x)
Calculus 1 Math Calculus

09/30/18

Find an equation of the tangent line to the curve at the given point. y = 5ex + x, (0, 5)

if y-y1=m(x-x1) and we are given (0,5)... You are left to y-5=m(x-0). Now to find m you differentiate y'(0). From there, im lost.

09/29/18

Homework Question - Calculus

The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by: N(r) = -7000Inr What r is the proportion of the words from the... more
Calculus 1 Calculus Trigonometry

09/29/18

Simplify into a single trig function

Simplify tan(t)/sec(t) to a single trig function 

09/29/18

Simplify into a single trig function

simply (1+cot(t))/(1+tan(t)) to a single trig function 
Calculus 1

09/29/18

What is an implicit function? Give an example of such function.

What is an implicit function? Give an example of such function.
Calculus 1 Math Calculus Geometry

09/28/18

Pre calculus question !!!

How many solutions does the equation sin(x) sin(2x) sin(3x)... sin(11x) sin(12x) = 0 have in the interval (0,π ] ?    (a) 11   (b) 12   (c) 24   (d) 46   (e) 68
Calculus 1 Math Calculus Geometry

09/28/18

Pre calculus question !!!

Given two lines   L1:x + ay + b = 0   and   L2:x + cy + d = 0   as detailed below : details:   1.  L1 and L2 cross each other in the section 1 of the Cartesian coordinate system.2.  L1 crosses the... more
Calculus 1 Math Calculus Geometry

09/28/18

Pre calculus question !!!

The vertices of a triangle ΔABC are A( p,q) , B(r, s) ,C(u, v) . Assume that these coordinates satisfy 2p+3r+4u=0   ,  2q + 3s + 4v=0     , and the origin O(0,0) lies in the interior of ΔABC . If... more
Calculus 1 Math Calculus Geometry

09/28/18

Pre calculus question !!!

In a triangle ΔABC , it is known that AB =10 , AC = 9 , cos 3\8 ∠BAC = . Points P, Q on sides AB , AC such that the area of ΔAPQ is half of the area of ΔABC . For all points P, Q satisfying the... more
Calculus 1

09/28/18

A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole

A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40... more
Calculus 1

09/28/18

Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes? Note: The volume of a sphere

Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes? Note: The volume of a sphere is given by V=(4/3)πr3. Rate of... more

09/27/18

please help me solve the question !!

Let S be a nonempty subset of plane R^2 , it is known that every point (x, y) in Ssatisfies “if x > 0 , then y > 0 ”. Consider the following properties possibly satisfiedby points (x, y) in S... more

09/26/18

how can I show that x^5+4x^3-x^2=4x+1 has a solution using the IVT theorem?

how can I show that x^5+4x^3-x^2=4x+1 has a solution using the IVT theorem?
Calculus 1

09/25/18

why can't 4sinx / 15cos3y turn into (4/15)tan(x/3y)

original problem is find dy/dx of 4cosx+5sin3y=13
Calculus 1 Math

09/22/18

Determine the piecewise representation of​ f(x) below:

f(x)= |5x-5|   f(x)= equation A  if x >= a          equation  B  if x< b whats Equation A=?  whats equation B=?               a=?                b=?
Calculus 1 Math

09/22/18

Consider the two functions given​ below: dentify the domain of (f) x/ (g) ( x)

f(x) = x^2 8x +15, g(x)= x^2+ 1x - 12

09/21/18

exponential equation identification

Find the exponential function f(x)=Ca^x whose graph goes through the points (0,2) and (3,16). a=  C=   
Calculus 1

09/14/18

If the limit definition of a derivative can be used to find f ' then what is the purpose of using other

If the limit definition of a derivative can be used to find f ' then what is the purpose of using other
Calculus 1 Pre Calculus

09/13/18

Find if the following graphs are symmetric with respect to the axes or the origin

A. y=2x B. y=3x C. y=x^4-x^2 D. y=x^4-x
Calculus 1 Math Pre Calculus

09/13/18

Find the points that are symmetric to (1,4)

A. Across the x-axis B. Across the y-axis C. Across the origin
Calculus 1

09/03/18

sin2Theta+ sqrt3 costheta=0

Solve for the angle theta when its between 0 and 2pi

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