10) Find the length of the curve r(t) = (2 sin t, 5t + 1, 2 cos t), -10 ≤ t ≤ 10 $200) il mononut boulay

Q: 25. A boy owns 3 pairs of pants, 5 shirts, and 2 jackets. How many different outfits can he wear to…

A: Given, a boy owns 3 pairs of pants, 5 shirts and 2 jackets.

Q: Write each of the following sets in correct roster notation: (a) {n % 5 : x ∈ N}

A: Given (a) {n%5 : n ∈ℕ}   To Write Set in roster notation.

Q: Find a, b, c, and d such that the. Relative maximum: (2, 9) Relativ-

A: Given,            f(x)=ax3+bx2+cx+d

Q: Find the Wronskian of the functions f(t) = et sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A:

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A:

Q: Evaluate Š dx

A:

Q: Using Laplace Transform method, solve the following differential equation with conditions y(0) =…

A: Sol

Q: stretches a spring 8 feet and an impre <∞o. If the weight is released from re ected, then

A: Given that,  w = 32 lb Then, m = wg    = 3232 = 1⇒m = 1andk = w8   = 328 = 4⇒k =4

Q: 14 16 18 20 22 22 24 26 28 2 14 Pizza Prices Around Town

A: In this question, the concept of line of best fit is applied.

Q: Which of the following series converge absolutely, which converge conditionally, and which diverge?

A:

Q: Find the volume of the solid below the function z = f(x, y) = y√x and over the quarter disk of…

A:

Q: Q3: Answer the following: a) Use Cauchy-Riemann equations to test whether f(z) is analytic. Here…

A: Here given function  fz=z+iRez-eizorfz=z+iRez-cosz-isinz   .......1 Now consider z=x+iy Then…

Q: Examples. Justify your answers briefly. (a) Is ---- ) conditionally convergent or absolutely…

A: Since you have posted a multiple question according to guildlines I will solve first (Q.a) question…

Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

A:

Q: + In Pascal's triangle, $15,8 15,9 a 16,10 (b) 15.10 - c) / 16.8 d) $16.9 I|II|

A: This question is related to Pascal's  triangle

Q: An average cost function is given by the equation AC = 600-640 + 20². m) Find the values of Q at…

A:

Q: 14. The expression "a mod b" is used to mean "the remainder obtained when a is divided by b". Which…

A:

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: Given function f(x)=ax3+bx2+cx+d and the conditions relative maximum (2,9), relative minimum (4,3)…

Q: 11 5.4) K To measure a stone face carved on the side of a mountain, two sightings 650 feet from the…

A:

Q: 3t If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

A:

Q: Use Jacobi and Gauss-Seidel Methods to solve the system of equations below: 4x1 + x2 – x3 = 3 2x1 +…

A: Given system of equation is 4x1+x2-x3=32x1+7x2+x3=19x1-3x2+12x3=31 Let the initial approximation is…

Q: If f(x, y) = (y² + 2xy)x² then fxxx equals: A) 8y O B) 12y O C) 16y O

A:

Q: Problem 3. Use a recursion tree to determine a good asymptotic upper bound on the recurrence T(n) =…

A:

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for ƒ(x, y) = e¯x²—y²…

A: Introduction: The formula of 1st and 2nd degree Taylor polynomial at a point a,b is given by,…

Q: Solve the initial value problem y" + 3y - 28y = 0, y(0) = a, y'(0) = 14. Find a so that the solution…

A:

Q: A/Find the distance between the line 2x + 3y = 5 and the point(-1,0). ( B/Find by integrating along…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Solve ( sin θ - 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0 a. r sin^2 θ - r^2 cos^2 θ = c b.…

A:

Q: : r= = (2,0) + s(-3,-3) determine if land l₂ will intersect or not. 20. Given l₁ : r = (1, -2,) +…

A:

Q: Calculates the f(x,y)dA bounded by the given region 1 Sa 1 1 ₁ + x² + y ² d A dA where S is the…

A:

Q: (w = xy + z, x = cos(t), y = sin(t), z = t)

A: Follow the steps.

Q: Find the general solution of the differential equation y" — 16y' + 73y = 0. NOTE: Use ci and ca as…

A: Please find the solution in next step

Q: Show illustration and detailed solutions. A rectangle is inscribed in a right triangle, 5 by 12 by…

A: To find- A rectangle is inscribed in a right triangle, 5 by 12 by 13 units. What are the dimensions…

Q: 5. Suppose that the inverse demand and inverse supply functions are PD = 10-.2x and ps = 4 + .2√x,…

A:

Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: r² −1 = -(1-e²³) 2 the following methods: Fixed-Point iteration Newton-Raphson method tolerance of…

A:

Q: Calculate the Y-coordinate of the centroid of the rectangle shown in .Figure

A: In this question, the coordinate of the centroid of the rectangle is applied.

Q: ponding parts of congruent triangles require a knowledge that two triangles are congruent if their…

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

Q: Find the volume of the region E bounded by the paraboloids z = x² +₁² and z = 72 - 7x² - 7x².

A:

Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: Show that the interval [0,1] is a closed set in R

A:

Q: (b) Show that the function f(z) = ez, z = 0 and f(0) is not analytic at Z = = 0, although C-R…

A: The given function is fz=e-z-4=1e1z4 To show: f(z) is not analytic at z=0 and f satisfies C-R…

Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

Q: Which one of the following functions is odd? Oy = 3x² Oy = 3x y = x³ Oy=3+x What is the parent…

A:

Q: Find the approximation S, to the integral xe dx for n = 6 and then compute the corresponding error…

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: Compute F+1/F correct to eight decimal places for 1 ≤ n ≤ 10. Compare each value to the value of…

A: To compute: Fn+1Fn for 1≤n≤10. and also compare with the golden ratio.

Q: Show that the equation e** -x+2=0 has a root between 2 and 3. Use Fixed-Point method to find the…

A: Lets solve  the equation by Fixed point method

Q: Step 5: Solve f(x) = 0 ANALYTICALLY. That said, you may need the use of a calculator at some point…

A: In this question, the concept of the trigonometric solution is applied. Trigonometric Identity The…

Q: Find Oz/ou and oz/ov for z=4e* ln(y), x=ln(u cos(v)), y = usin(v) at the point (u, v)=(2.7/4).

A:

Q: 15 the value fo x₁zY 2x Solving the differential epuation Y = using the fourth-order Rande-Cate…

A: