Question
Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.)
sin 4t
lim
3t
Expand
Transcribed Image Text

Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 4t lim 3t

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Limits

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The concentration of an antihista-mine in the bloodstream of a healthy adult is modeled by C = 12.5 ...

A: 6 hour period means from t=0 to t=6That is from start of the medication  to 6 hours after medication...

Q: Find the volume of the solid generated by revolving the region bounded by the curve y = sin x and th...

A: Given:Find the volume of the solid generated by revolving the region bounded by the curve y = sin x ...

Q: A young person with no initial capital invests k dollars per year at an annual rate of return r. Ass...

A: The rate of change of the sum is equal to the percentage of the sum at that time plus the amount he ...

Q: Two ladders of length a lean agains opposite walls of an alley with their feet touching. One ladder ...

A: The problem can be depicted as shown below,

Q: Find the arc length function for the graph of ƒ(x) = 2x^(3/2) using (0, 0) as the starting point. Wh...

A: Given:

Q: A painting attributed to Vermeer (1632–1675), which should contain no more than 96.2% of its origina...

A: To determine the time (in years) of forgery, A painting attributed to Vermeer (1632-1675), which sho...

Q: The marginal cost of printing a poster when x posters have been printed is dc/ dx =1/(2(sqrt(x)) dol...

A: It is given that, the marginal cost of printing a poster when (x) posters have been printed is

Q: y″ + y′ − 6y = 0

A: given:

Q: Find the area enclosed by the ellipse x2/ a2 + y2 /b2 = 1

A: Given,

Q: If a force of 90 N stretches a spring 1 m beyond its natural length, how much work does it take to s...

A:  you haveto find the spring constant k to in order to find the work using F=kx Given that F=90 and x...

Q: y′=(3x2−ex)/(2y−5),y(0)

A: Given,

Q: For the function f,Construct and simplify the difference quotient f(x+h)-f(x)/h

A: Given:

Q: The U.S. Census Bureau keeps a running clock totaling the U.S. population. On September 20, 2012, th...

A: Consider t be the time in years after the September 20, 2012 at 8.11 p.m. EST and y(t) be the corres...

Q: Find the center of mass of a thin plate covering the region between the x-axis and the curve y = 2/x...

A: Click to see the answer

Q: A force of 200 N will stretch a garage door spring 0.8 m beyond its unstressed length. How far will ...

A: Given information:

Q: Find the difference quotient g(x)=1/x^2   (g(x)-g(6))/x-6   x cannot =6

A: Plug x=6 in g(x) and find g(6)

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval n...

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: Graph the given equation. 2x = 3

A: Click to see the answer

Q: A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies o...

A: a) It is given that, the square of side lengths lies in a plane perpendicular to a line L. One verte...

Q: Use Pappus’s Theorem for surface area and the fact that the sur-face area of a sphere of radius a is...

A: Click to see the answer

Q: How do you simplify the expression cosx/1+sinx + 1+sin x/cosx and the expression tanx - sec2x/tanx

A: Given:[a]:

Q: Derive the formula for the volume of a right circular cone of height h and radius r using an appropr...

A: Given information:

Q: solve the differential equation.   y cos2 x dy + sin x dx =0

A: The given differential equation is,

Q: Find the length of the curve y = ln (1 - x2), 0<=x<=1/2

A: Given:

Q: Find the area between the x-axis and the curve y = sqrt(1 + cos 4x), 0<=x<= pai

A: Click to see the answer

Q: find the center of mass of a thin plate of constant density d covering the given region. 1. The regi...

A: Given information:

Q: Solve the initial value problem   and determine the interval in which the solution is valid.Hint: To...

A: Click to see the answer

Q: Find the surface area of the cone frustum generated by revolv-ing the line segment y = (x/2) + (1/2)...

A: Given:

Q: Solve by completing the square: 1/3 - 4/3x = 7/x

A: Multiply both sides by 3x and simplify.

Q: A rock is thrown upward from a bridge that is 47 feet above a road. The rock reaches its maximum hei...

A: Click to see the answer

Q: find the volume . The base of the solid is the region bounded by the parabola y2 = 4x and the line x...

A: The base of the solid bounded by the parabola y^2=4x and the line x=1. And each cross section perpen...

Q: Find the length of the curve y = ln (sec x), 0<= x<= pai/4

A: Given,

Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: An electric elevator with a motor at the top has a multistrand cable weighing 4.5 lb/ft. When the ca...

A: Given,

Q: Find the areas of the regions enclosed by the curves in Exercises 83–86. 83. 4x2 + y = 4 and x4 - y ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: find the volume . The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pa...

A: Given: The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pai/4. The cr...

Q: Find the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the cur...

A:  the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the curve y...

Q: graph the function and find its average value over the given interval. 1. ƒ(x) = x2 - 1 on [0, sqrt(...

A: Click to see the answer

Q: Suppose a 1.6-oz golf ball is placed on a vertical spring with force constant k = 2 lb/in. The sprin...

A: given Suppose a 1.6-oz golf ball is placed on a vertical spring with force constant k = 2 lb/in. The...

Q: a. If (ln x)/x = (ln 2)/2, must x = 2? b. If (ln x)/x = -2 ln 2, must x = 1/2? Give reasons for your...

A: Given:If (ln x)/x = (ln 2)/2, must x = 2? ……... (1)If (ln x)/x = -2 ln 2, must x = 1/2? …….. (2)

Q: a. A hemispherical bowl of radius a contains water to a depth h. Find the volume of water in the bow...

A: a) The radius of hemispherical bowl is a and contains water to a depth h.Obtain the volume of water ...

Q: Use the definitions of cosh x and sinh x to show that cosh2 x - sinh2x = 1.

A: To show that cosh2x - sinh2x =1.

Q: The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one...

A: Click to see the answer

Q: Find the volume generated by revolving one arch of the curve y = sin x about the x-axis.

A: Let the bounds of one arch of the sine curve be 0 and pi. Then, the volume generated by revolving on...

Q: Use the theorems of Pappus to find the lateral surface area and the volume of a right-circular cone.

A: To determine the lateral surface area and volume of right circular cone.

Q: find the areas of the surfaces generated by revolving the curves about the given axes. 27. x = 24y -...

A: To determine the surface area of solid of revolution about the y-axis.

Q: The region in the first quadrant that is bounded above by the curve y = 1/x^(1/4), on the left by th...

A: Graph the situation using graphing calculatorWe have to rotate the shaded region.

Q: How do you define and calculate the area of the region between the graphs of two continuous function...

A: Definition:

Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

A: Click to see the answer