Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (7cos t)i + (7sin t)j + (/5t)k, Ostsn %3D Find the curve's unit tangent vector. T(t) =Di+D+Ok The length of the curve is (Type an exact answer, using n as needed.)

Q: ECW1: Problem 22 Previous Problem List Next Let v = (4, 4, 1) Find a unit vector in the same directi...

A:

Q: Find the lengths of the following curves: e. x = 8cos t + 8t sin t and y = 8 sin t – 8t cos t, 0st<n...

A: Given  The curves are x=8cost +8t sint   and  y=8sint - 8t cost   , 0≤t≤π2.     Formula : Arc length...

Q: (Implicit differentiation). Consider the curve 1/t + 1/s = 1 Find d/s = d/t Find d/t = d/s Show that...

A: Given that: 1t+1s=1

Q: ind the condition for the points (a, 0), (h, k)(0,b) when ab O to be collinear.

A:

Q: Find the lengths of the following curves: a. x = 1– t and y = 2 + 3t, - 2/3 <t<1 b. x = cost and y =...

A:

Q: Solve the inequality and express answer using interval notation, if answer does not exist answer DNF...

A:

Q: a) Evaluate lim ☆ X ->-2 using a ta ble of functi'ona l values b) E valuate llm メー> 3- Vx?+b vダ-X

A: Find out the limit of the function limx→-25x-3 put x=-2 in the function and calculate the limit. lim...

Q: 2. Your senior project is to design the most economical tomato soup can. The can must hold 400 cm³. ...

A: Assume the height of the can be h and radius be r. Find the cost function C(r) for the can. Volume o...

Q: Consider the planes r + ly + 1z = 1|and Ex + lz = 0] (A) Find the unique point P on the y-axis which...

A: A) Suppose the required point on y-axis is: (0,y,0), which satisfies both the equation that is: 5(0)...

Q: q8

A: The definition of surface area is the total area of the surface of any 3 dimensional object that are...

Q: Find the conditions that the zeroes of the polynomials Ax) =x° – px+ qx – r may be in arthametic pro...

A:

Q: = -19 when x = Integrate the following expression, and solve for the constant of integration using t...

A: It is differential  equation 

Q: Fill in each blank so that the resulting statement is true. The solutions of sin x= in (0,2x) are x ...

A: we have to fill in the blanks so that the resulting statement is true. the solutions of sinx=22 in [...

Q: 3. The given plate R is submerged vertically into a water with y = 4 as the water surface. Find the ...

A: y + 2x = -2 y = 1-x y=0, y=4  

Q: Compare dy and Ay for y =-2x*+ 2 at x = 1 with Ax = dx =-0.08. Give your answers to four decimal pla...

A: We have to find change in y

Q: Class 8   A regular polygon of n -sides has ............... number of lines of symmetry.

A: A polygon is a two dimensional shape with all the sides are joined . In a polygon all the sides are ...

Q: Fill in each blank so that the resulting statement is true. If 2 sin x cos x+ V2 cos x = 0, then = 0...

A: Take out the common factor out and make each factor equal to zero.

Q: Problem is attached! Please and thank you!

A:

Q: The equation of the tangent line to the curve of f(x) = 2x² at x = a) f(x) = 4x – 2 b) f(x) = 4x + 2...

A:

Q: Pls help with working thank you

A: We have to consider the  given numbers

Q: 1. x - y -7=0 and x- 4 = 0 | а. Find the area bounded by the two curves b. Find the volume if the ar...

A: Given That: The curves, x2-y2-7=0, x - 4 =0

Q: Use the figure to find the exact value of the following trigonometric function. 12 cos (2a) cos (2a)...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Directions: Complete the table of values below to evaluate the limit of the function. Plot the point...

A: We need to complete the given table of values and we have to evaluate the limit of the function. Aft...

Q: dy dx If y=e+19 then O 19e+19 O 4er+19 O 57er+19 O 3er+19 2er+19

A: Please see the answer in Step 2

Q: For what values of x is the tangent line of the graph of f(x) : 10x + 45x? – 122x parallel to the li...

A: Take the derivative of f(x) and equate to the slope of the given equation of line.

Q: Ind he R simplity derivatives bonot י'XcNצ d y=sinx + Sinx3

A:

Q: b. Find the Maclaurin series for the following function f(x) = sin(3x) %3D

A: Given: f(x)=sin(3x). Determine the Maclaurin series for f(x)=sinx sinx=x-x33!+x55!-x77!+...

Q: If f(x) = = sin (3 – x), then f'(0) O 6 sin 3 cos 3 O 6 cos 3 O -2 sin 3 cos 3 O -2 cos 3 -2 cos O 2...

A: f(x)=sin2(3-x)  

Q: In 3r dx 925 Evaluate the definite integral: Answer:

A:

Q: Please show all the work for all the steps so I can better understand  ,Thank You

A: Given problem is :

Q: Question 4 Use the table below and Simpson's Rule with n = 10 to approximate f (x) dx. x f(x) 4.8 0....

A: We know that Simpsons' rule            y0=f(a),   y1=f(a+△x),   y2=f(a+2△x)  .......yn=f(a+n△x)

Q: A table-tennis ball is released near the surface of the (airless) moon with velocity v_0 = (0, 6, -2...

A: Given v0=0,6,-2 and a=(0,0,-1.9) and t=8s We know that  Velocity after t seconds is given by v→=v0→+...

Q: The derivative of f(x) = x^x is * O x (1 + Inx) O (x^x) (1 + In x) O (1 + In x) O x (1 - In x)

A:

Q: Given the set of information, find a linear equation that satisfies the given conditions, if not pos...

A:

Q: ind the arc length of the graph of the function over the indicated interval. (Round your answer to t...

A: Given: Curve y=32x2/3 on the interval [8, 27] Definition: Arc length of curve y=f(x) on the interval...

Q: Find the general solution of the equation using Linear Equations of Order One

A: The given differential equation is: xdy+1-3xydx=3xdx Rearranging this given equation: dydx+1x-3y=3 T...

Q: Damian invested $880 in an account paying an interest rate of 5.2% compounded annually. Assuming no ...

A: Use formula of compound interest

Q: Integrate the following expression using tables or u-substitution and find the constant of integrati...

A: According to the problem, we have

Q: Evaluate the integral using the method of partial fractions: 2z–15z²+13z+11 22-7z+10 dr

A: Find the integral using partial fraction

Q: Jamil wants to renovate his Studio in 7 years. He estimates the cost to be $15201. How much should h...

A: Formula for future value is as below : FV = future value = 15201 P = annual payment r= interest rat...

Q: f :[0,1]→S', f(x)=[x+b sin(2rx)]mod 1 This function is homeomorphiam and diffeomorphism?

A: Given: f:[0,1]→S1 f(x)=x+bsin2πxmod1 Differentiate the function. ddxf(x)=1+2πbcos2πx To ensure mon...

Q: Question 2 Estimate the integral I sin (x) dx by the trapezoidal rule using n = 4. а) О0.7000 b) O 0...

A: Option C is correct. 

Q: A Differentiable function f has the property that f(5) = 3 and f(5) = 4 What is the estimate of f(4....

A: Linear approximation formula: The formula for local linear approximation of function f at the point ...

Q: Find the exact value of sin15\deg using the​ half-angle identity. Support your answer with a calcula...

A: Here, the objective is to find the exact value of sin15∘ using half-angle identity.

Q: Mustafa purchases an annuity due paying 8% quarterly. If his payment is $4511, how much will its val...

A:

Q: Write a power series representing the function f(x)= 6-2 f(a) E Determine the interval of convergenc...

A:

Q: Find ay and dy for the following functions for the values of x and Ax which are shown against each o...

A: Consider the function: y=fx=x2+3x+6,   x=10,  Δx=0.01To  calculate   ΔyΔy=y2-y2=fx2-fx1             ...

Q: Previous Problem List Next If g(1) = 5, 9(5) = 6, and 9(x) dz -7, evaluate the integral æg'(x) dz. A...

A:

Q: please answer the question below

A: Given hexagon is regular

Q: (4) Two scalar differentiable electrical potentials F(x, y, z) and G(x, y, z) superpose in space. Pr...

A: Prove the following property for the potential function F and G

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.