Question

Find the unit tangent vector at the indicated point of the vector function

r(t)=e^(3t)cos(t)(i) + e^(3t)sin(t)(j) + e^(3t)(k)

T(pi/2) = 

 

Expert Answer

1 Rating

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

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: Given that the graph of f passes through the point (1,6) and that the slope of its tangent at (x, f(...

A: Given that the slope of the tangent at (x, f(x)) is 2x + 1.That is,

Q: Systems of Linear Equations and Matrices 292 CHAPTER 6 6.3 Exercises of Use systems of equations to ...

A: You have asked two questions in a single post. I will address the first one. Please post the other q...

Q: Can I get help with this problem step by step?

A: Given:Find the dimension of a right circular cylinder of maximum volume that can be inscribed in a s...

Q: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the x-a...

A: Consider the given curves.

Q: Find the particular solution of the differential equation dy/dx+ycos(x)=4cos(x) satisfying the initi...

A: Given differential equation is,

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

A: Click to see the answer

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Part (a): Let’s consider two function g(x) = 9x5 and h(x) = 3x2 + 2 (g o h) (x) = g(h(x)) = g (3x2 +...

Q: Consider the parametric equations below.x = t2 - 4y = 5 - 2t-3 ≤ t ≤ 4(a) Sketch the curve by using ...

A: Make a table of t,x,y. Pick random values for t between -3 to 4. Then find x and y for those ts.

Q: #9

A: To find: The limit exists or not.

Q: A wheat farmer is converting to corn because he believes that corn a more lucrative crop. It is not ...

A: Let f(n) denote the number of acres devoted to corn in year n. We have f(n)=500+20n.Let g(n) denote ...

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line tange...

A: Slope of tangent line is ½. So the equation is of the form: 

Q: Find the area of the region enclosed by one loop of the curve. r=sin(8theta)

A: Draw the given curve as shown below.

Q: 4. Find the area that lies inside the curve r = 4 cos and outside the curve r = 2.

A: Given, curves are

Q: There were 27 deer in a park on January 1, 2000.  Six months later there were 38 deer in the same pa...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. 14 f(x) х

A: Given function is 

Q: Problem 3: Evaluate the following limits, or give a short reason why they do not exist. (You may use...

A: a) To evaluate:

Q: Sketch the graph of a functionf having the following characteristics f(2) f(4) 0 f(x)0 if x > 3 f(3)...

A: First point represents the the x-intercepts. Second and fourth point is telling that the graph is in...

Q: Can you help with this problem step by step?

A: The problem is concerned with the critical points (maximum, minimum) of the given graph

Q: 1 and e is in Quadrant III, find tan(0) cot(0) 3 If cos(e) csc(e)

A: Given,        

Q: An arithmetic sequence is defined by Un=11n-7. a find U1 and d. b find the 37th term. c what is the ...

A: (a)Given:

Q: I need help solving a Calculus problem. The problem is as follows: C(x) = 100 + 7x - x^2 + 8x^3. Fin...

A: The derivative of a cost function is called marginal cost.

Q: 2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd function...

A: Recall the following fact.

Q: indefinite integral of x3 dx

A: Click to see the answer

Q: I need help with question 21 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Given,

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: We are given that we must create a block of ice with the following strict requirements:The volume mu...

Q: Please answer and clearly explain part b and c. thank you

A: As per the instruction, we are solving part (b) and (c) of the question.According to the information...

Q: Help with my study guide please.

A: If limit of nth term of an infinite series un is not equal to 0 as n approaches infinity, then the s...

Q: 2 Problem 1: (a) State the definition of a limit, e.g., define what it means for limc f(x) = L (b) P...

A: Part a) To state the definition of limit.Part b) To provide an epsilon-delta proof of the given limi...

Q: A rectangular deck is to be constructed using a rock wall as one side and fencing for the other thre...

A: The question can be interpreted as shown,

Q: 65. Two runners start a race at the same time and finish in a tie. Prove that at some time during th...

A: Click to see the answer

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → ∞.

A: Formula:

Q: Find the absolute extrema of the function on the interval [2, 3]. (Round your answers to the nearest...

A: compute the critical points as follows.

Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

A: Find first derivative using product rule and chain rule.

Q: 16. Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 y...

A: Click to see the answer

Q: If xy + ey = e, find the value of yn at the point where x = 0.

A:  xy + ey = eWhen x = 0,  ey = e = e1Hence, y = 1

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 44...

A: Click to see the answer

Q: For a car with standard tires stopping on dry asphalt, its speed S (in mph) can be found from the le...

A: The absolute error can be computed as follows.

Q: Can I get help with this problem step by step?

A: Note: You seem to have uploaded a question with multiple subparts. As per our policy we will answer ...

Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...

A: According to question