Show complete solutions. Draw the illustration. Giselle wants to know the height of a certain house (in meters) while roaming around the suburbs of Cagayan de Oro City, but Giselle does not have the tools to measure the building directly. What she does know is her height (1.5m), the distance between her and the building (adjacent) is 9m, and the angle of elevation from her head to highest point of the house's roof (75 degrees). Calculate the height of the house (considering Giselle's height), and the hypotenuse with respect to Giselle's head to the highest point of the house's roof. Afterwards, check the value of the height of the house using sine, cosine and tangent.

Q: Use the fact that matrices A and B are row-equivalent. 1 2 10 0 11 0 A = B = 25 3 7 22-2 14 32 10 2…

A:

Q: 14. The measure of the complement of a given angle is four times the measure of the angle. Find the…

A:

Q: QUESTION 11 The function h)-60th can be used to determine the miligrams D of a certain drug in a…

A:

Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

Q: The Fibonacci Sequence is izo Fi Fn = Fn-1 + Fn-2 23 the defined by Fo = 0 1 for nza. Let Fi izo…

A: Introduction: The infinite terms 0, 1, 1, 2, 3, 5, 8, 13, 21, and 34 make up the Fibonacci sequence.…

Q: If the period T is note equal to 2n but T=2L then f(x) = a₁ + nn Σ(an cos x + b₂ sin n=1 bn ao 2L 2.…

A:

Q: Find the G.S. about xo = 0 for the following DE's (x²+4)y" + 2xy' - 12y = 0 1.

A:

Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) Without converting…

A: b) Hint: The general form of a polar curve is r=ep1±esinθ,where e is the eccentricity, p is any…

Q: For the following you can either proove or disprove the following a)log_4(n^4) is O(n), for n ≥ 1…

A:

Q: Let F= (x, y², z²). (a.) Let E be bounded below by xy-plane and above by the sphere x² + y² + 2² =…

A: Given: Let us consider the given, F=x2,y2,z2 Let's determine a) The flux of F through ∂E direct…

Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given that S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: 1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of -at sinwt and e-at coswt by…

A: Introduction: Z transformation follows many different properties. These properties are widely used…

Q: Consider the power series (7 - 2x) n 6n n=1 ƒ(x) = function. a. Find the interval of convergence of…

A:

Q: For each of the following SEQUENCES, select whether they converge or diverge; for each that…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: b The differential equation y + 2y³ = (y² + 5x) y' can be written in differential form: where M(x,…

A:

Q: Let D contain those points z = x+iy of the circle |z| < 2 that do not lie in the circle |z − 1| < 1.…

A:

Q: Find the present value of an annuity with periodic payments of $500 semiannually, for a period of…

A:

Q: jw F(W). jwF(W) = jwF(W) = - A Tjw - [ 2 - acos(wr)] -2A (1 - cos (NT)) трия -2A ( 2 sin ² (WI))) ((…

A:

Q: 45 24

A: Area of circle = 150.79

Q: Show that (x, y, z) = xy + y² + 22 has no local extrema by showing that its unique critical point is…

A:

Q: In a temperature measuring system, a signal x, representing the temperature to be measured, is…

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

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (5t – 1) 750 4 S…

A:

Q: The pressure of 1 mole of an ideal gas is increasing at a rate of 0.05 kPa/s and the temperature is…

A: Given equation is PV=8.31T Also given that, dTdt=0.21dPdt=0.05P=17T=304 So,…

Q: Sketch the single-sided and double-sided spectra of x(t) = 2 sin (10nt n (10nt - -=— π)

A: Here we need to draw the single sided and double sided spectra for the given function let…

Q: (a). Determine the Fourier series for the 2p-periodic function given on the interval [0,2p) by f(x)=…

A: a. Hint: The Fourier transform of a function f(x) is…

Q: The differential equation (x + 1)²y" + (x − 1)(x + 1)y' + 2(x + 2) y = 0 has a series solution of…

A:

Q: In Problems 29 and 30, solve the more general heat equation problem. *29. + 2u, + u = U₁, B.C.: u(0,…

A: Introduction: Laplace transformation is very significant tool in solving partial differential…

Q: Consider the system T1 = T2 = The eigenvectors are dx dt where x is a 2 x 1 vector. a) Find the…

A:

Q: 11) Example: of R' (t) to find the curvature Use the Theorem in 10 to

A:

Q: Evaluate (24 + x³)dx where C is the line segment from (−2, −1) to (0, 1) followed by the right half…

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: Determine whether the following assertions are true or false. If true, prove and if false, explain…

A: Solution:

Q: 3. This question concerns the L metric d and the L¹ metric e on C[0, 1] (Examples 1.1 i)). a)…

A: It is given that,  L∞ denotes the metric d and L1 denotes the metric e on C0, 1. (a) Calculate d(f,…

Q: We fit a model V = aPb to the data below using the least squares criterion. Vi 2.27 2.4 3.31 3.27…

A: For calculation, purposes consider V as Y and P as X then the curve should be in the form of…

Q: Home exercise: The function f(x) = 5x¹ + 20x³ 5x4 + 20x³33x² + 2000x + 6 is unimodal on the interval…

A: Given : fx=5x4+20x3-33x2+2000x +6                     -20 ; 10 To find : Roots of the given function…

Q: If the sequence ~ 9- an - 3 :} converges to 6, then the sequence {an} converges to 9.

A:

Q: Answer the folowing if it is: ALWAYS TRUE, SOMETIMES TRUE or NEVER TRUE. (a) If S={u,,u,,u,,u} is…

A:

Q: a Use the "mixed partials" check to see if the following differential equation is exact. If it is…

A:

Q: EXAMPLE 5 Find the center of mass of a solid of constant density that is bounded by the parabolic…

A: We only check the last equation. Rest of the parts are true.

Q: 2. Using h = 0.1, approximate the value of y(0.5) for the given differential equation using a) Euler…

A: Given :   y'=y+2x-x2                      y0=1                 h=0.1 To Find : (a) Euler method y0.5…

Q: Solve the following initial value problem to find y(2). dy 2 at =yt ²-l·ly, y(0)=1 using midpoint…

A:

Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1300 -0.005x²0.01y2, where…

A: We need to calculate the angle above the horizontal at which the path in that direction begin.

Q: Find the definite integral that will compute for the volume of the solid when the region bounded by…

A: Given region is bounded by, y=x2, x= 0, x =-1 and y =-1 and the bounded region is revolving about y…

Q: Which of the following is true about the sequence In (3n² − n² + 1) − ln(n³ + 2n¹ + 5n)? = an The…

A:

Q: 33. Solve( L-¹. 3x+16 ²-5-6

A:

Q: Let y = 1 2 and u= 4 2 Write y as the sum of a vector in Span (u) and a vector orthogonal to u.…

A: Introduction: The projection of a vector onto another vector is the application of dot product. This…

Q: 2. In a dance performance, four dancers form a diamond with vertices A(2, 0), B(0, 2), C(-2, 0), and…

A: Given, The diamond with vertices A2,0,B0,2,C-2,0 and D0,-2 is given. The coordinates after six…

Q: 5. Suppose heat is lost from the lateral surface of a thin rod of length L into a surrounding medium…

A: Given the heat equation is k∂2u∂x2-hu=∂u∂t, 0&lt;x&lt;L, t&gt;0 The initial temperature is f(x)…

Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…

A:

Q: Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a…

A: Assume that the ship loses power when it is moving at a m speed of 8 m/s. a. We have to find about…