4. Arc Length and Unit Tangent Vectors: a. Calculate the length of the curve 7(t) = 4 sin(t) i + 3tj + 4cos (t)k from 0 sts 2n. b. Verify this calculation by using GeoGebra (hint there is a function in GeoGebra to calculate arc length). c. Calculate the unit tangent vector for part a. at the point when t = d. Graph the curve in part a. using GeoGebra, also eraph the unit tangent vector in part c.

Q: Suppose you have an experiment where trials have a 20% chance of error, and you repeat the trial 8…

A: Introduction: A random variable is an unknown variable or a function that assigns values to each of…

Q: (c) Using (a).(b) and the ring properties of ". * that (R, +, ) with the matrix addition and matrix…

A:

Q: Sound is one of the most important elements of multimedia. Calculate the file size for a monaural…

A: Given, Sample Rate= 48KhzSample size= 16 bitTime=1 min 36 sec=96 sec To find: File size for monaural…

Q: Use the Ratio Test to find the radius of convergence of E=0 (Use symbolic notation and fractions…

A:

Q: Solve the initial value problem. State which rule you are using. Show each step of your calculation…

A:

Q: I OD 0/5 Translate each graph as specified below. (a) The graph of y=f(x) is shown. Translate it to…

A: To find- Translate each graph as specified below. The graph of y = fx is shown. Translate it to get…

Q: Sketch the graph of aational function y=f) that satisfies all of the following conditions. a) The…

A: It is given that the horizontal asymptote of the rational function is y=2. Therefore, the graph of…

Q: ur answer from part B, how does the distance nt on the preimage relate to the distance betwee na…

A: Introduction: A dilation's center is a fixed point in the plane around which all points expand or…

Q: Estimate the area under the graph of y = 2° for x between and 2. Use a partition that consists of 4…

A:

Q: A certain chemical decomposes in which its equation satisfy the general exponential equation as…

A: To solve this problem first we use the initial condition and find y0 and then use the another…

Q: Portal B Classes | CK-12 Fo.. Desmos | Scientific. Dashboard StudentVUE 1. Jeff is building a…

A:

Q: 11. If the following differential equation has to be transformed to a separable form by substituion.…

A:

Q: se a study revealed 5*

A: Given, a study revealed 57% of all subjects possessed trait A, 28% possessed trait B, and…

Q: e) Let C be a new base of R3. If the base change matrix, from base A to base C is - 10 55 32 35 -5 3…

A:

Q: Please help with this practice question  Prove that if f(x) and g(x) ae increasing fucntions on…

A:

Q: Let R2 [x] be the vector space of polynomials of degree m is small or equal to 2. Consider the two…

A: The main objective is to find the coordinate vectors. We have to show that U1 and U2 are vector…

Q: 1. Let A be a square matrix. Assume that the following statement is true: If B is an invertible…

A: For the solution of the problem follow the next steps.

Q: 17. For the wronskian which of the following true a) the solution is valid for all values of t b)…

A:

Q: 4 Use the sum of the first ten terms to approximate the sum of the series Estimate the error by…

A: Given: A series,∑n=2∞4nn2-1. To find: Sum of the given series and error by taking average of upper…

Q: Use the concept of limits to determine the equation of the horizontal asymptote of f(I). For the end…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Exercise 4: Solve the heat equation on the square [0, 7] × [0, 7] subject to the following bound-…

A: We have to solve the heat equation                      ∂u∂t=∂2u∂x2+∂2u∂y2                   -------…

Q: The function f(x, y) = x° – 3x – 2xy - y- 2y+ 4 Has two stationary.points. Find and classify then.…

A:

Q: 3) Show relevant work to detern same line. L1: (x,y)= (2,2) + s(4,-2) L2: (x,y) = (18,-6) + t(-8,4)…

A: Introduction: A parametric equation is one in which the dependent variables are defined as…

Q: Maximize the function Sx, y) = 2x + 3y subject to the constraint y14 + x - 4y = 3 Find the location…

A:

Q: a. Suppose that r E Q and r E Qª. Prove or disprove: The number (r – x)-1 e Qª. b. Prove or…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the volume 7 cm 7 cm 6 cm 12 cm 4 cm

A: The area of  front triangle = (1/2) *base*height                                                =…

Q: 45.8 Dominance Rules bo soVe games matfix 17.5 1.9 1.9 1.4 1.4 1.4 1.4 7.4 T.5 1.5

A:

Q: Q7/ Change the order of integration: 9-y f(x, y) dx dy 3 Si So

A: Order of change of integrals, according to Bartleby answering guidlines do first problem completely…

Q: Chelsea left the White House and traveled toward the capital at an average speed of 34 km/h. Jasmine…

A:

Q: 3. For the functions shown below, write both Fourier cosine and sine series on the interval 3.1.f(x)…

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

Q: Evaluate: E-3 (9m – 19)

A: To evaluate ∑m=3279m−19

Q: Consider again the vector field F = (x +y)i + (x² + y²)j_what is the downward flux across the line…

A:

Q: find the fouritr series fir the helf-Period Sine of the Fanction fex)=sin x in the feriod O<X<T Th…

A:

Q: Com idr the Legendre's litterentrial equation n-constant Any saluhion Legendre's function. s Q.1.…

A: Given the Legendre's differential equation                                           1 - x2y'' -…

Q: Consider a falling object of mass 5 kg that experiences the drag force, which is assumed to be v =…

A: We will solve the differential equation to get velocity at time t , The for limiting velocity find…

Q: Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are…

A: Given:  C=70,000+30x, R=200x−x220,P=R−C, where the production output in 1 week is x calculators. To…

Q: 2. (a) Define a Dirichlet function. (b)Assume that f(x) is a function of the form -х-1; when -T <…

A: Here given function as fx=-x-1when -π&lt;x≤0xwhen  0≤x≤&lt;π

Q: 1. State whether or not each diagram in the figure below defines a function from A = {a, b, c} into…

A:

Q: Question 10 : Find all values of k for which A is diago- nalizable, given that A =

A: Here i include both real and complex cases

Q: 5. For the initial value problem y" + 6y' +9y 0; y(0) = 3; y'(0) = -11 find L(y), the Laplace…

A: The given problem is to find the Laplace transform of the function Y from the given initial value…

Q: 21. Consider the differential equation y" - 2y' + 4y = 5t determine the form of the particular…

A:

Q: 0. How fast is the cost per month changing when production is changing at the rate of 17 units per…

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Find the volume of the se

A: Given, the curve                   y2(a+x)=x2(a-x)

Q: Find a basis for the column space and the rank of the matrix. 4 8 1 3

A: To find the basis for column space and the rank of matrix. 4813

Q: Let C be the unit circle oriented in the counterclockwise direction. Calculate the outward flux of…

A:

Q: Suppose the concentration of a particular drug that is administered orally is given by - 0.4t…

A:

Q: Estimate the area under the graph of f(x) = x? + 2x from x = 1 to x = 7 using 3 approximating…

A:

Q: Employ Stirling's formula to compute y122 from the following table = 1 + log 10 sin x) : 10 11 12 13…

A:

Q: Sketch the graph whose incidence matric, C, is given below. Then verify that L = CC^T, where L is…

A: Given: C=-10110001-10011-10010000-1-1-1 To sketch: Graph whose incidence matrix is C.

Q: You go to the doctor and he gives you 13 milligrams of radioactive dye. After 24 minutes, 5…

A: