7 Angles x and y are located in the second quadrant such that sinx= a) Use a right angle triangle to determine an exact value for cosx. 25 b) Use a right angle triangle to determine an exact value for siny. c) Determine an exact value for cos(x - y). and cosy = 5 13

Q: Nancy's Lawn Care specializes in residential lawn cutting and fertilizing. Nancy, the owner, has…

A: Introduction: The ratio of two polynomials is shown in rational formulas. It indicates that the…

Q: 4. ABP is a triangle, M is a point on AP. AB = à, AM = 26, and MP = b. N is the midpoint of BP. C is…

A: We have to use  triangle law of vector addition According to the law  if two sides of a triangle…

Q: b) Solve the following second order differential equation, clearly showing all calculation steps dy…

A: To solve the given second order differential equation :-

Q: (b) Show that the interval of convergence of the series -1/2 sest √2 2n-1x2n-1 (4n - 3)² is given by…

A: The radius of convergence of a strength collection is the radius of the best disc on the…

Q: Q2: Use bisection to determine the drag coefficient needed so that an 80-kg parachutist has a…

A: Solution :-

Q: Let f(x) be a function given by f(x)= { (a) Prove whether f(x) is a Dirichlet function. = for Tx<0,…

A:

Q: 3. Find all r so that r-1+r-2| < 5.

A:

Q: Let p>5 be a prime number prove that expression p^4-10p^2+9 is divisible by 1920.

A: A top wide variety is a herbal wide variety large than 1 that isn't always the made of lesser herbal…

Q: 3.5.13. Given n = N, let pn(t) = t" for t = [0, 1]. Prove that the sequence {Pn}neN converges…

A: Sequence and collection is one of the simple subjects in Arithmetic. An itemized series of factors…

Q: Let x and y be functions of t. Find the general solution of the system of equations below by first…

A:

Q: write the ratio of 3/10 to 1/10 in the lowest term

A: Write the ratio of 3/10 to 1/10 in the lowest term.

Q: 2 6. The inverse Laplace transform of F(s) = is s+c a) 2e-c (t+b) u (t+b) b) 2e-c (t-b) u (t-b) c)…

A:

Q: Discuss using appropriate mathematics the properties and assumptions underlying the OLS technique,…

A: We need to discuss the properties and assumptions underlying the O.L.S.(Ordinary Least Squares)…

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A:

Q: vergence for lim 6-0 sin h hº cos h h 0.

A: Given that limh→0sinh3-h3cosh2h=0. The rate of convergence can be calculated by evaluating the…

Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: Calculate the 4th roots of (5 - j3)

A:

Q: Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the…

A: Given that, The boundary value problem, y"+x2y'-4xy=2x3+6x2-2,            1       y0=0, and y1=2. By…

Q: f: R → R. be a function given by f(x₁,x2,...,xn) = x².x..., where = 1. Show that the maximum of…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 45-46. Consider the following graphs. Which of the graphs have an Euler tour? GRAPH A. b n 9 GRAPH…

A: Option is correct i.e. A only

Q: Consider the system ry, 4-4x - 2y. 1. Determine the nullclines of the system and sketch the…

A: As per the question we are given a 2d nonlinear dynamic system. And we have to : Find the…

Q: 1. Suppose £5000 is invested for five years. Calculate the amount accumulated at the end of five…

A: As per the guidelines i had solved the first questions kindly post another questions separately.

Q: Show that there is no simple group G of order 33, 34, 35, 38, 39, 42, 44, 46, 50, 51. Show that…

A:

Q: (a) Derive the frequency-domain convolution of a spectrum M(w) =rect () and a spectrum G(w) =…

A: As per the question we are given two frequently domain spectrum : M(ω) = rect(ω/B)  ,  G(ω) =…

Q: (2) Explain why the rational numbers are those having periodic representation or with- out infinite…

A:

Q: 1. For the functions f(x) = 2+x and g(x)= 15 – 1.5x a) Find the first quadrant area bounded by the…

A: We know that the equation of the x-axis is y=0 and the equation of the y-axis is x=0. We have to…

Q: Evaluate the integral 1 C C sin(x²) dxdy.

A:

Q: a. b. C. (x+y) dx+(x-y)dy = 0 (2xy − 3x² ) dx + (x² + y)dy = 0 (2xy + y) dx + (x² − x) dy=0

A:

Q: Find a, b, c such that the following change of order of integration holds: 3 clnx LL f(x, y)dydx =…

A: The given integral is                 ∫13∫0ln xf(x,y) dydx

Q: The bases of a trapezoid are 48m and 98m and a height of 61.02m. The angles at the ends of the…

A: Introduction: Area is the space covered by the object or any geometric figure. It is the region…

Q: Find and read the attempts made by Henri Poincare to suggest relativity.

A: Introduction: Henri Poincare was a great mathematician, physicist and philosopher. He was a friend…

Q: (a) Prove the convergence or divergence of each of the following series: 1! +a! +3! + +n! 20+1 2+1 6…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: ical notation of each:

A: Given as,

Q: 6 7x Find a simplified series representation of e Σ answer = n=0

A: To answer the given question we will use the following series     ey=∑n=0∞ynn!

Q: 3. Evaluate 5 sin rdx

A: We know, sin2x = 1-cos2x Also, ∫ xn dx = xn+1/(n+1) + C   Given, ∫ sin5x dx = ∫ sin4x.sinx dx…

Q: 2. Consider the groups (R, +) and (R x R, +). Define the map : RX (RX R) → Rx R defined by r(x, y) =…

A: Given: The group is, (ℝ, +) and (ℝ×ℝ, +) The map is, ℝ×(ℝ×ℝ)→ℝ×ℝ To find: a) The defined map is an…

Q: Suppose S is the lower hemisphere S = {(x, y, z) x² + y² + z² = 9, z ≤ 0}. Further, define a vector…

A:

Q: (b) Let g(x)=√x with domain {x|x>0}, and let e > 0 be given. For each c > 0, show that there exists…

A:

Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

Q: 3. For each of the following normal curves, identify (as accurately as you can from the graph) the…

A: Follow the steps.

Q: (a) Let f: R 11 k=1 R be a function given by f(x1,x2,...,xn) = x²₁x²...x2, where 1. Show that the…

A: As per our guidelines we are supposed to answer only one question. Here first question answered.

Q: 6. In the figure, AB // CD. The straight line EF cuts AB and CD at G and H respectively. Find x.…

A: Given: In the figure below AB|| CD. The straight line EF cuts AB and CD at G and H respectively. To…

Q: can't understand the symbols used and the handwriting is blurry

A: Solution:- The objective is to formulate the mathematical model that minimizes the largest deviation…

Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is - 2√/y = In (x-9)-…

A: The given initial value problem is                                      ydx+(x-9)dy=0, y(10)=49 We…

Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is (Type an implicit…

A:

Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y +…

A:

Q: Solve the given linear programming model using the simplex method (Tabular form) Answe The objective…

A:

Q: •4.0.5 f Determine area the top and all side of a platform below. Note// Parallogram shape 6m -2.65m…

A:

Q: Write the first four terms of the sequence: an = 3n + 4 . If a1 = 2 and a3 = 8 of an arithmetic…

A: We have to write the first four terms of the given sequence. Then, we can proceed further.

Q: Jse chain rule to differentiate the following 1 y = sec+ (√x+; )

A: Differentiating given function below