Determine whether the information results in one triangle, two triangles, or no triangle at all. 5. a = 30, b = 40, A = 20°

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: It=-0.2t3+3t2+100 for 0≤t≤9

Q: Prove the following proposition: For all integers a and b, if 3 divides (a² + b²), then 3 divides a…

A:

Q: The graph of the derivative function f' is shown below. List the critical numbers of the function f.…

A:

Q: Let f: R → R given by f(x) = 2 sin(x) − x² + 1. (a) Find an interval [a, b] for which ƒ is…

A: Given that, f:ℝ→ℝ given by fx=2sinx-x2+1. We have to find an interval a, b and a solution for…

Q: Suppose a bank offers you a 5.1% interest rate on a 25-year mortgage to be paid back with monthly…

A:

Q: Convert the complex number z = 3 cos -3 (con (16) +isin (¹6) 2= + help (numbers) Note: You can earn…

A: let z is an complex number and it is equal to  z=x+iy, where x=rcos(θ),            y=rsin(θ)  which…

Q: Consider a triangle ABC for which ZA= 105°, a = 28, b = 18. If such a triangle can not exist, then…

A:

Q: A plane flies at a speed 540 km/hr at a constant height of 19 km. How rapidly is the angle of…

A: The Plane is flying at a constant height of 19km with a speed of 540km/hr. To Find: Rate of change…

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A:

Q: Let T: R³ R4 be the linear map given by T(x, y, z) = (x + 3y – 2z, x + 4y, x − 8z, 2x + 7y – 2z)…

A:

Q: ). Use Stokes' theorem to evaluate f(3x − 2y)dx + (4x − 2y)dy + (z+2y)dz, where C is the circle x =…

A:

Q: 1. Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to…

A: Solution (1).

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A:

Q: Find the critical points of the function. Then use the second derivative test to classify the nature…

A:

Q: 3) Find the Jacobian of a transformation that maps the region in the XY plane that the parallelogram…

A:

Q: For the function (shown in the graph), list the intervals on which the function is increasing, the…

A: To Find: Intervals where function is increasing and decreasing, and the point of local extrema for…

Q: Evaluate the triple integral using spherical coordinates: /// sqrt(x^2+y^2+z^2) dV,  where E lies…

A:

Q: Exercise 2. Let (E, ||-||) be a normed space. 1) Show that the norm map E → [0, +∞[, a → |||| is…

A: we know that      a-b ≤a-b

Q: I want to understand this in the simplest/most understanding way as possible, is that okay?

A:

Q: x= -2 | x=-1 y L X x = 1 x = 2

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

Q: A violin string is stopped so that the resulting string length makes a desired musical note. In…

A:

Q: Problem 12 Selve haplace is equation +31 (124) + 1/2 3/4 u for 1 (1₁0) on the half-disc 04542,…

A:

Q: 2.1.3 .5 -.1 .4 .8 2 3. .4 .4

A:

Q: 2 ·Prove that at (xp ₁ %) the point of intersection of three confocals 2 ہے and he osculating plane…

A:

Q: Matrix A has dimension 3 x 5 and Matrix H has size m x 2. If matrix A is multiplied by matrix H,…

A: Matrix A has dimension 3×5 and matrix H has size m×2. If matrix A is multiplied by matrix H then we…

Q: Problem 2: Calculate the length of the curve I= a(t-sint) = a(t-cost) y= where T> 0 is a constant.…

A: Here we want to find length of a curve i.e. arc length  Arc length for the parametric curve x= f(t)…

Q: 5. Let & be the curve with equation y² = x² - 6x² + 8x. (a) Find all real-valued points of & with x…

A: The given curve is y2=x3-6x2+8x. (a) To find all real-valued points on the curve with x<0 (b) To…

Q: Use convolution integral to solve the following IVP: y" + 2y' 15y = e-5t; y(0) = 0, y'(0) = 0.

A:

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A:

Q: Prove the following proposition: For all sets A, B, and C that are subsets of some universal set, if…

A:

Q: 80 =Consider the series Σ where p is a real number. a. Use the integral test to determine the values…

A:

Q: (c) Use Eule is a solut

A:

Q: 1. Use Stokes' Theorem to find ¹ dŚ, curl F. ds, where F(x, y, z) = (xz, -yz, xy) S and the surface…

A:

Q: Is the boundary of a path-connected set in R^2 with the usual topology path-connected?

A: We have to check whether the boundary of a path-connected set in R2 with the usual topology is…

Q: Find the equation of the osculating plane at a general point on the cubic curve given by r = (t, t²,…

A:

Q: Find the final amount of money in an account if $3,900$3,900 is deposited at 7%7% interest…

A:

Q: 22. The function f(x) = maps the real line R onto the unit circle S¹ C R². Also, f(x + n) = f(x) for…

A: Let f be a function defined as f(x) = <cos2πx,sin2πx>. Consider the space R/Z obtained by…

Q: Use the function (p) = 3plnp² to answer the following question. How many functions can Q(p) be…

A:

Q: Evaluate the integral of the following tabular data with the Simpson's Rule by-hand. 0.3 X Y 0.1…

A:

Q: Find the missing quantities by first computing the markup on one base and then computing the markup…

A: Let’s assume the selling price is ‘a’   Then Markup = a X 44% = 0.44a   Selling Price = Cost +…

Q: Give the solution as a convolution integral y + 2y + 2y = sin(xt), y(0) = y'(0) = 0

A:

Q: 2y + 184 11 6 tan ax

A:

Q: Prove that at (x, y, z) the point of intersection of three confocals +² y² and + b- + -x-² a² + H he…

A:

Q: Use Newton's method to estimate the two zeros of the following function. Start with xo = 1 for the…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: Use the properties of a Cauchy-Euler system to find a general solution of the given system for t> 0.…

A: Given the system                   tx'(t)=-9-102-9101-9x(t).

Q: Find the ML estimator of the mean and variance from 1.1.d. measurements from a normal distribution.

A:

Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: Find the polar coordinates of the point where r > 0,0 ≤0 ≤ 2π. 7 3m (Click on graph to enlarge) 0

A: We need to find the polar coordinates of the point in the form (r,θ).

Q: Find all critical numbers for the following function. Then use the second-derivative test on each…

A:

Q: Write N(A) as the span of a vector (r vectors). What is dimN(A)? Why?

A: Null space, N(A) is the set of all vectors x in R^4 here, which are solutions of the equation Ax=0,…