Sketch the plane curve represented by the vector-valued function and give the orientation of the curve. r(t) = i + (t− 1)j O O -5 -5 y 10p y 10 5 5 5 X X O -5 -5 10 5 y 10 5 5 10 5 X X

Q: 3. Prove that sin2x 2cotx csc² x is an identity. ✓✓✓

A:

Q: The reaction A + B 2 C has the rate law rate = K[A] [B]³. By what factor does the rate of reaction…

A: given  A+B→2Crate=KAB3given  A remain same and B is doubled

Q: Use the half-angle indentities to find the exact value. sin 112.5° O 2-√2 2 O /2+√2 2 0-1-√2 √2+√2 2

A: Given query is to find indicated function.

Q: Solve the given initial-value problem. - (x + y)² dx + (2xy + x² − 4) dy = 0, y(1) = 1

A:

Q: For the open-top box shown below, find formulas for the volume and the total amount of material (the…

A:

Q: Determine the exact value of cos (tan-¹ s (tan-¹ (3) - tan-¹ (5)).

A:

Q: 4. Describe three situations where lim f(x) does not exist. X→C

A: Introduction limits represent the tendency of a function, so limits do not exist if we cannot…

Q: Solution We start with the graph of y = ex from figure (a) and reflect about the?-axis to get the…

A:

Q: Find the plane determined by the intersecting lines. L1 x= -1 + 4t y = 2 + 2t L2 x=1-4s y = 1+2s…

A:

Q: At the beginning of the year 1995, the population of Townsville was 3146. By the beginning of the…

A:

Q: Let f(x) = { if x ≤ 6 - 6x + b if x > 6 6x - 1 If f(x) is a function which is continuous everywhere,…

A:

Q: 1. y 0 y = √√√x (1, 1) y = 1/x x=8 X

A:

Q: Find the limit. (If the limit is infinite, enter '∞' or '-', as appropriate. If the limit does not…

A: Given: limx→0+3tan-1(ln(x))

Q: Solve the given differential equation by separation of variables. exy dy dx = e-y + e-7x-y

A:

Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate ƒ'(−1). Hint: Use the product rule and the…

A:

Q: Which of the following represents the correct verification of the identity? π cos (0 + ) - sin ==

A:

Q: Suppose that the sales at Borders bookstores went from 6868 million dollars in 1992 to 402 million…

A:

Q: Find c such that the function - 6 x ≤ c f(x) 22 x > c is continuous everywhere. C = x² {3²2 8x

A: The function is given by fx = x2-6, x≤c8x-22, x>c To evaluate: The value of c such that the…

Q: An efficiency study showed that the average worker at Delphi Electronics assembled cordless…

A: An efficiency study showed that the average worker at Delphi Electronics assembled cordless…

Q: Find parametric equations for the line through the point Po(5,4,-7) that is parallel to the line…

A:

Q: The trajectory of a particle is given by 7(t) = (et², cos(2t + 9), e-t). Find its velocity, speed,…

A:

Q: 3. Suppose R is the region in the plane bounded below by the curve y = x² and above by the line y =…

A:

Q: For the sequence An = its first term is its second term is its third term is its fourth term is its…

A:

Q: Find the limit: sin (5x) 6x lim x-0

A:

Q: The population of the Northgoat neighborhood has been growing steadily since 1986. In 1989, the…

A:

Q: 4. When a particle is located a distance x feet from the origin, a force of x² + 2x pounds acts on…

A:

Q: Find volume V of solid obtained by rotating region bounded by curves about specified line. x = 2 *…

A:

Q: Solve the given equation for x. (Round your answer to four decimal places.) 10 (1.06³x + 1) = 13 X =

A:

Q: 33-37 Find the direction cosines and direction angles of the vector. (Give the direction angles…

A: You have asked question number 37, So, I have to solve Only question No. 37.

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3) The region…

A: Given vertices of the triangle ( 0 , 0 ) , ( 5 , 0 ) & ( 5 , 2 )

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

A:

Q: What u-substitution should be made in order to evaluate the following integral? Sav 3x² + 5dx U= 3x²…

A: Here is the solution:

Q: QUESTION 10 Given a system model what is/are the dominant system characteristic root(s)? d³x d²x dt…

A: Please see the below picture for detailed solution.

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

A: Topic = Differential equation

Q: Find the relative extreme values of the function. (If an answer d f(x, y) = 3xy – 2x² – 2y² + 56x −…

A:

Q: Evaluate f f (x) dx if f(x) 8 O 12 6 O 14 = 2x x - 1 if x ≤ 3 if x > 3

A:

Q: Consider the function f(x) = x + 6x^(2/3) a) find the domain of f(x) b) give horizontal and…

A: Note:- According to our company rule we can do maximum 3 subparts. you  can repost remaining one.

Q: Use discontinuity to evaluate the limit lim e^(x^2-x) x—>1

A:

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given differential equation:- ydx = (y-xy2)dy

Q: A line passes through the point (-9,1, -7), and is parallel to the vector 9i +4j+7k. Find the…

A:

Q: 7(4) = X

A: given parametrized curve is r(t)→ = t , arc tant , -t then we have to find the unit tangent vector…

Q: c) is incorrect

A: NOTE: Refresh your page if you can't see any equations. . the solution for answer a and answer b is…

Q: Write a in the form a+T+aNN without finding T and N. r(t) = (w sin t)i + (w cost)j + xtk

A:

Q: A study found that a person's status in a community depends on the person's income and education…

A: The given data is: Sx,y=5x13y12 (a) Find Sx27, 4

Q: Find the slope of the secant line passing through when (-1, f(-1)), (3, ƒ(3)) f(x) = x²-3x+2. 1.…

A:

Q: y-values 9 8 7 3 2 1 If f(x) = = ƒ'(1) = 1 g(x) g(x) h(x) ' 2 3 x-values then Out y-values 5 4 3 2 1…

A: The graph of the function h(x) and g(x) is given  and f(x)=g(x)h(x) We have to find the f'(1).

Q: The fuel economy of a car (miles per gallon) varies with its speed. In an experiment, the following…

A:

Q: A manufacturer has a monthly fixed cost of $22,500 and a production cost of $6 for each unit…

A:

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A:

Q: 100 m=1 nam (1+1)

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  use the series…