Question

I need help finding an equation of the tangent line to the function y= cos(3x) with the point ((pi)/4,(root2)/2). I attached a picture of the problem 

Poinrs
CUs3x (T
2.
की
Expand
Transcribed Image Text

Poinrs CUs3x (T 2. की

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

Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Graph the given equation. 4y = 5

A: The given equation is,

Q: Find the lateral surface area of the cone generated by revolving the line segment y = x/2, 0<= x&...

A: Find the lateral surface area of cone.

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

A: First check which form this trigonometric function acquires at t=0.

Q: Each of Exercises 1–4 gives a value of sinh x or cosh x. Use the defi-nitions and the identity cosh2...

A: Click to see the answer

Q: The business manager of a 90 unit apartment building is trying to determine the rent to be charged. ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: The oldest known frozen human mummy, discov-ered in the Schnalstal glacier of the Italian Alps in 19...

A: Click to see the answer

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the vertical asymptotes?

A: Given function is,

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the inflection points of the function?

A: To find inflection points of the function we need second derivative of the function.Use product rule...

Q: Find, to two decimal places, the x-coordinate of the centroid of the region in the first quadrant bo...

A: Given the x-coordinate of the centroid of the region in the first quadrant bounded by the x-axis, th...

Q: Solve the initial value problem y′=2y2+xy2,y(0)=1

A: Given,

Q: Let R be the “triangular” region in the first quadrant that is bounded above by the line y = 1, belo...

A: Click to see the answer

Q: Use the shell method to find the volumes of the solids generated by revolving the regions bounded by...

A: Since we only answer the first question, we’ll answer the first. Please resubmit the question and sp...

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5 i...

A: Click to see the answer

Q: How does ƒ(x) = logx (2) compare with g(x) = log2 (x)? Here is one way to find out. a. Use the equat...

A: We need to plot the two logarithmic functions :

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

A: Given:y = ln (1 – x2)

Q: (sin t)y′+(cos t)y=et,y(1)=a,0<t<π

A: Given,The initial value problem(sin t)y′+(cos t)y=et, y(1)=a,0<t<πConsider,

Q: Solve the initial value problem and determine where the solution attains its maximum value.

A: Given, the initial value problem

Q: Suppose that the bacteria in a colony can grow unchecked, by the law of exponential change. The colo...

A:  The colony starts with 1 bacterium and doubles every half-hour.So doubling time of the bacteria = 3...

Q: In the function:  f(x)= (3x^2)ln(x) , x>0  What are the critical numbers of the function?

A: Given function is

Q: Solve the initial value problem dy/dt+ 2y = 3, y(0) = 1

A: Given,

Q: How is the natural logarithm function defined as an integral? What are its domain, range, and deriva...

A: Explanation:

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b>4B What are the critical numbers of the function?

A: Given:

Q: A tank contains 100 gal of fresh water. A solution containing 1 lb/ gal of soluble lawn fertilizer r...

A: Calculation:

Q: y′=2y−1,y(0)=1y′=2y−1,y0=1      Hint: y1 = (1 + 2h)/2 + 1/2

A: Given,

Q: Given cost and price functions C(q)=120q+45,900 and p(q)=-2.3q+840, what price must the company set ...

A: The given cost and price functions are as follows.

Q: A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate...

A: A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate...

Q: Consider the region bounded by the graphs of y = sqrt(x tan-1 x) and y = 0 for 0 <=x<= 1. Find...

A: Given,

Q: t2y″ − 4ty′ + 4y = 0

A: Consider the provided differential equation,

Q: (y/x+6x)+(ln x−2)y′=0,x>0

A: Consider the given differential equation.

Q: consider the equation f(x) = 2x2 - x find the average rate of change between x=3 and x=6

A: Click to see the answer

Q: Solve the differential equations in Exercises 1–4. 1. x dy /dx + y = ex, x> 0 2. xy′ + 3y = sin x...

A: Consider the provided differential equation,

Q: Consider the table. f(x) 10 13 4 16 19 Find the rate of change of f. a.

A: Given:

Q: Find the volume of the solid generated by revolving the “triangular” region bounded by the x-axis, t...

A: Given information:

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What...

A: Denominator of the function can not be equal to 0. 

Q: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...

A: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...

Q: A storage tank is a right-circular cylinder 20 ft long and 8 ft in diameter with its axis horizontal...

A: Given information:

Q: In Exercises 1–3, a. Identify the equilibrium values. Which are stable and which are unstable? b. Co...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: y′+(tan t)y=sin t,y(π)=0

A: Determine an interval in which the solution of the given initial value problem is certain to exist a...

Q: y′ = t2 + y2

A: Click to see the answer

Q: I need help evaluating a derivative of a function at the point (pi/2,18pi)

A: We have given

Q: (9x2+y−1)−(4y−x)y′=0,y(1)=0

A: Click to see the answer

Q: Find the length of the graph of y = (1/2) cosh 2x from x = 0 to x = ln sqrt(5).

A: Click to see the answer

Q: The length (in mm) of a larval insect specimen depends on the temperature (in Celsius) at which it w...

A: Given:

Q: Solve the homogeneous equations (xe^y/x + y) dx - x dy =0.

A: Find dy/dx from the given equation

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

A: Click to see the answer

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

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

Q: Consider the table. f(x) 10 4 13 16 8. 19 b. Express f in the form f(x) = ax + b

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: What is an autonomous system of differential equations? What is a solution to such a system? What is...

A: Click to see the answer