6. The angle of elevation of the top of a tower T from a point A on level ground is 80°. The height of the tower is 40 m. a) Work out the distance AX T 80 Diagram not drawn to scale b) Determine the angle of elevation of the polnt H, halfway up the tower from polnt A. c) Work out the distance AH.

Q: 4. Family Dollar sells a total of 240 T-shirts ($2) and shorts ($3). In April, total sales were $578...

A: Solution

Q: Q25) ) Prave that tan'o = |- cos28 It Cos 2o Hene, fnd the escact value

A:

Q: 18 Given the foci of an ellipse are (-1,6) and (-1,0), with the length of the major axis is 10 units...

A:

Q: Given the points E(2,5,1), F(-1,4,-2), and G(3,-2,4). Plot the three points and label it. Connect th...

A: Plot the points and make them meet to draw the required triangle.

Q: Solve the following complex numbers in their rectangular form. Use 4 decimal places for the comput...

A:

Q: thod for the fünction using the given initial guess. (Round you x2 - 5, x1 = 2 f(x.) f(x

A: Given, Using Newton's Method Iteration fx=x2-5,x1=2

Q: 2. Solve the differential equation dy 1 dx

A: Solution :-

Q: Approximate one real root off (x) = 0.8-03 %3D using False Position on (1,3). Do three iterations. O...

A:

Q: o finance $14,516.29 on a 3-year car loan.  The interest rate for the loan is 6.25%.  What is your m...

A: Introduction: By making monthly payments, a borrower pays down some of the outstanding balance with ...

Q: Let f : Rn → R be convex with dom(f) = Ω ⊂ Rn an open set. Show that f is a continuous function on Ω

A: Concavity and convexity are two important analytical natures of a real-valued function. A function i...

Q: (5) Prove that if f is continuously differentiable on [a, b], then |f(a) – f(b)| a – b max f'(x)| rE...

A:

Q: Convert the following base ten number to a number in the indicated base. 515 to base 8 515 =8

A: We will use the concept of radix representation of integers to find the equivalent number for 515 in...

Q: dæ + 2x + 5 dt x dt = 1 where: x(0) =0 0,

A: The solution is given as

Q: Find all singular points of the equation xy" + (5 – x)y' + 5xy = 0 and determine whether each one is...

A:

Q: Find x in the following equation. log 10 (x+ 4) - log 10(x- 4) = 1

A:

Q: Approximate the root of 2a – 11.7z + 17.7r 5 0 using three iterations of Fixed-Point Iteration. Use ...

A:

Q: 1. A line passes through the points (3,7) and (−5, 3). ( Answer iv, v and vii)

A:

Q: L{e_t (3 cos 6t 5 sin 6t)}

A:

Q: Can you assist  me in  verifing    that    for    all    n ≥ 1,    the    sum    of    the    first ...

A: Here, we have to verify that ∀n≥1, the sum of the squares of the first 2n positive integers is given...

Q: In problems 15, 16, 17, use matrix inverse to find the unique solution to the system of equations. Q...

A:

Q: 8. Evaluate in polar form: 42+32

A: A complex number can be represented in polar form through its radial angle and magnitude. The polar ...

Q: Find the margin of error for the given values of​ c, σ​, and n.   c=0.90​, σ=2.2​, n=81

A: Measure of central tendency measures the central or average value of a dataset. Measured of dispersi...

Q: Recently, More Money 4U offered an annuity that pays 5.1% compounded monthly. If $2,307 is deposited...

A:

Q: Find all singular points of the given equation and determine whether each one is regular or irregula...

A:

Q: What is the annual percentage yield (APY) for money invested at an annual rate of (A) 4.1% compounde...

A:

Q: Suppose T E L(V) and U is a subspace of V. (a) Prove that if U null T, then U is invariant under T. ...

A:

Q: Exercise 6. Let Zž = Z7 {0}. Find a bijective function f: Z → Ze such that f(a- b) = f(a) + f(b) for...

A:

Q: If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is -...

A:

Q: Fn+1 Fr-1 Show that A"; 3. Let Fn denote the nth Fibonacci number. Let A = (Hint: use induction).

A:

Q: 2) Suppose S,T E L(V) are such that ST = TS. Prove that null S is invariant under T.

A:

Q: 1. (a) Think about which method you want to use. Then solve the initial value problem with different...

A:

Q: a) Find the points at which the twisted cubic F(t) = ti + t} +tk intersects the plane 4.x +2y+z = 24...

A:

Q: 3. Let A C B. Which of the following statements is/are true? а. An B C A b. AUB C В c. A\B is a sing...

A:

Q: Analyse the convergence of the sequence {fn} where fu(x) = on R. 1+ na²

A:

Q: How and why are eigenvectors used to describe solution sets of linear systems of ODE's?

A:

Q: 1.20 * Prove that the flight-path angle is equal to 45° when v = 90° on all parabolic trajectories.

A: Solution

Q: Which of the following statements are true? Statement A: The set of functions {e-#,e2t} is linearly ...

A:

Q: dy Solve the homogeneous differential equation dx + 2xe x, నా

A: Given homogeneous differential equation is dydx=yx+2xeyx                    (1) for homogeneous diff...

Q: QUESTION 1 hich is the best descriptor of the level curves for a function f(x,y)? Da. A selection of...

A: In the given question, the concept of the Level Curve is applied. The general representation of Leve...

Q: Solve the following  complex numbers in their rectangular form.  Where in Z1=2+4i, Z2 = 5e2i and Z3...

A:

Q: Iow many different signals, each consisting of eight flags hung above the other, can be formed from ...

A:

Q: . Let X1 and X2 be independent standard normal random variables. Show that the joint distribution of...

A:

Q: 1. Find the determinant of the matrix below using cofactor expansions. Hint: start by taking advanta...

A:

Q: At an annual effective rate of interest i = 4%, find the PV of a perpetuity- immediate with annual p...

A: Solution :-

Q: Given a universal set containing integers between 0 and 21. Set A contains odd numbers while set B c...

A:

Q: Consider the force field F(x, y, 2) i+ x² cos z + j+ -k (a) Use Gauss' theorem to find the flux acro...

A:

Q: QUESTION 3 xy Let f(x.y)= x² +y lim f(x.y) along the path y= mx, for any constant m. Find (x.y) - (0...

A:

Q: Solve the following  complex numbers in their rectangular form.  Where in Z1=2+4i, Z2 = 5e2i and Z3...

A:

Q: Find the general solution to 2*y = x?y – y°. Find the general solution to y = -e"y² + y + e"

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Given the universal set composed of complex numbers. Which of the following is false? Note the follo...

A: