Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 3/2, + (13) ²³/1² r(t) = 10ti + k, 0sts 44 The curve's unit tangent vector is (i+j+ k. (Type exact answers, using radicals as needed.)

Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

A:

Q: Solve the problem. At the Jumping Jack cookie factory, quality assurance inspectors remove broken or…

A: Equation of line passing through two points ( x1 , y1 ) & ( x2 , y2 ) is given as  y - y1 = y2 -…

Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

A: The first investment consists of investing 1430 dollars at an annual rate of interest of 8.7…

Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

A: By using substitution and partial fractions to find the following indefinite integral. ∫sec2xtan2x+9…

Q: can you explain how you got (x-2)=(t-3) and can you explain how you got the new limits because the…

A: Given:

Q: dt t² - 8t + 20 +2

A:

Q: bn = n n²+3*

A:

Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

A:

Q: A region bounded byƒ(y) = √√√ÿ+1, y = 4, y = 9, and x = 1 is shown. What is the volume of the solid…

A:

Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

A:

Q: Find the formula for f. f(x) = 8 Hint: Transform an exponential function with an integer base.

A: From figure we can say that is horizontal asymptote.The graph cross y-axis at .So, the point  lies…

Q: What is the area of the region bounded to the right by x = -y²+2 and to the left by x = y²? 5432-…

A:

Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: The compound interest formula A=P1+r100tA= final amountP=principle valuer=the rate of interestt=time…

Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A:

Q: Evaluate the sum 1 Σ² n! n=0 1 + (-1)^²+¹ + (-2)' (−1)n+1 n 2n+1

A:

Q: Use the parameter to write the rectangular equation as a pair of parametric equations. State any…

A:

Q: f(x) = x²-2x-10, (P¹) (5)

A:

Q: Here again, is the triangle from Question 1. 4√3 X 30⁰ Enter the value of y here. If necessary,…

A:

Q: f(x) = 1 1+4x2

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: 2 dn = 5 n n!

A:

Q: m Question 2 Find the area of the parallelogram. B C 4 112 9 A

A:

Q: The base of a three-dimensional figure is bound by the line x = y. Vertical cross sections that are…

A: Area of rectangle = Base × Height

Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: We have,  P = 17700  r = 6% = 6/100 = 0.006  t = 5

Q: Calculate the Taylor polynomials T₂(x) and T3 (x) centered at x = a for f(x) = 20.sin(x), a =…

A: Here we have given a function: fx=20sinx, a=π2 So, here we need to calculate the Taylor Polynomial…

Q: Find the maximum value of the function f(x,y)=2x^2+3y^2-4x-5 on the domain x^2+y^2=121. List the…

A: To find the maximum value of the function fx, y=2x2+3y2-4x-5  on the domain x2+y2=121. To list the…

Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

A:

Q: Question 6 19 T Which angles are coterminal with an angle with a measure of 36 radians? Select all…

A:

Q: Evaluate the surface integral. Jy y ds = ²/3 (x³/² + y³/2), 0 ≤ x ≤ 5,0 ≤ y ≤ 3 S is the surface Z =

A: ∬sfx,yds=∬Dfx,y1+∂z∂x2+∂z∂y2dA Note:- Since you asked multiple question , according to our policy we…

Q: quation, a point, and a slope field are given. dx=x√y cos x, (0,4) V/1

A: We are given differential equation dydx=xycosx a point 0,4 and slope field

Q: Sketch a continuous curve for which each of the following statements is true. f(-1)=0, f(0) = 2,…

A: According to question,Given conditions,f-1 = 0,f0 = 2,f1 = 4,f'-1 = f'1 = 0,f'x <0 for the…

Q: If the distance of an object is given by d(t) cannot be determined. O constant. O increasing.…

A: Given, the distance of the object: d(t)=3t3-6t

Q: Use partial fractions to find the area of the given region. 12 x + 5x + 6 y -1 y 3 2 1 -1| 1 2 3 4 5…

A: The region is bounded by the curve y=12x2+5x+6 in the interval 0, 4. To find the area of the region…

Q: y = x² - ²₁ (-2,5)

A: Derivative by defination rules

Q: YOUR TEACHER Kane Manufacturing has a division that produces two models of grates, model A and model…

A: Maximum of P = 2x + 1.5y occurs at vertex D(120,160)  P = 2(120) + 1.5(160) P = 480 Original…

Q: 1) π.χ. (a) Find an equation of the tangent line to the curve y = tan at the point (1, 1). 4 (b)…

A:

Q: The path r(t) = (t) i + (3²-2) j describes motion on the parabola y = 3x² -2. Find the particle's…

A:

Q: Find the average value gave of the function g on the given interval. g(t) = 2 1 + t²' [0, 9]

A: Given ,           g(t)=21+t2we have to find average value of the function g on the interval 0,9The…

Q: Applying implicit differentiation, find the derivative of the function 1/x + 1/y = 1

A: Given :  1/x + 1/y = 1

Q: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters…

Q: ∙e 1 In x X

A:

Q: Find lim 14x4 x f(x) 0.900 0.990 | 0.999 1.001 | 1.010 1.100

A:

Q: Find a function f and a positive number a such that f(x) = 3x a= √√ -6 [² f(t) at t4 a 1+ - dt =…

A: Fundamental Theorem of Calculus Part 1:   If f  is a continuous function on a,b , then the integral…

Q: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

A: Suppose that a savings account pays an effective rate of interest of 10.2 percent. What is the…

Q: Solve the given differential equation by separation of variables. dy dx = e5x + 3y

A: We have to slove above differential equation by separation of variables

Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

A:

Q: What formula would be used to calculate the middle rectangle approximation Joyx+2dx using four…

A:

Q: A region bounded by f(x) = x + 1, y = 0, x = 1, and x = 4 is shown. What is the volume of the solid…

A:

Q: Follow the Steps to Successful Curve Sketching to sketch the graph of f(x)=-4 Show all stens

A:

Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

A: