A plane is flying at an altitude of 14,500 ft. The angle of depression from the plane to a control tower is 15°. What is the horizontal distance from the plane to the tower? Round to the nearest foot.

Q: 4. Given the two vectors rA =-ax - 3ay - 4az and re= 2ax + 2ay + 2 az and point C (1, 2, 3) find: a)...

A:

Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5). W...

Q: For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. 3 3 1 A = -9 -...

A:

Q: *2=?

A: the question involves the multiplication of two numbers   

Q: 2+u 1 du. 2+u

A:

Q: 2. Solve the following: Note: m=2 n=7 a. What is the result of the expression which is equivalent to...

A:

Q: The graph of the function f(x) is (the horizontal axis is x.) Given the differential equation æ'(t) ...

A: Given the graph is 

Q: Solve this 75 + 75.175 -110 -25.882 If your answer is 66.06 and you can prove to me that the answe...

A: 75+75.175-110+25.882 =(75+75.175+25.882)-110 =176.057-110

Q: this small cube and make it

A: Side of the original cube = 4.5 cm The volume of the cube is given by volume = side3 find the volume...

Q: Determine validity using euler circles. No cat is easy to please. All persons who are easy to pleas...

A: Eulers circle is a dramatical representation which tells about the set and its relation. It helps to...

Q: dx 3. Evaluate the integral I= J. +6x+10 Include 4 decimal places on your computation. a. single app...

A:

Q: Simplify the following polynomial and answer the questic x* + (2x²) ™ + 6 1 +=x' 3

A: In the given question, the concept of the polynomial is applied. Polynomial The term "polynomial" re...

Q: Let E be the set of all positive even integers. Prove that E is countably infinite by defining a map...

A:

Q: Suppose g is a function such that g'(x)=-2,which of the following statements is TRUE? A. g has one r...

A:

Q: Use the two properties L1 and L2 to show that the following are linear transformations. (b) T:R² →R'...

A: To show that the given transformation is linear: T:R2→R3 defined asT(x,y)=(−y,x+y,3x−4y)

Q: diverges, I f it Determine whether the seauence Converges or limit. +(nn) 100 l00 l007+n an= n.+Sn +...

A: We have to check the given sequence is convergent or divergent.

Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Given csc-1(-2.0807+4.5465i)               (1) We have given formula is Csch-zz=ln1+z2+1z           ...

Q: Which of the following set relations does correspond to the shaded region of the Venn diagram, shown...

A:

Q: olve the following determina |1 1 - 2 1 0 -1 7

A: In the given question, the concept of the determinant is applied. Determinant Determinants are a for...

Q: 1. Apply the Sieve Process from 200 to 300. 2. Let p be an odd prime not equal to 5. Prove that eith...

A: Solution :-  

Q: 5 If g(1) = 4, g(5) = -7, and | g(x) dx = -8, evaluate the integral ag (x) dr. Answer:

A:

Q: 3. This problem is about set addition and subspaces. Let d = and dz = and V = span{d}, %3D U = span{...

A:

Q: n Problems 1–18, solve each differential equation by variation of parameters. 2. y" + y = tan x 4. y...

A: To solve the below differential equation using the variation of parameters. 4y''−y=ex/2+3

Q: [1 2 3] If Ax = b where A = 1 1 2, find x if Lo 1 2.

A: Using matrix notation a system of equations can be expressed in the form Ax=B. In this problem the m...

Q: (2n)! 12. E 2" .5: 12 Find the radius of convergence and interval of convergence of the series. n=1

A:

Q: 2 11 -1 2 3 2 -1 1] 3 W 2-2 ,X = [1 2 Y = and Z = %3D %3D L0 -1 2 3 1 Which of the following stateme...

A:

Q: Part I. Find the Laplace Transform of the following: 2. f (t) = 38(t) – 4u(t – 2) + 58(t – 5) + 2u(t...

A:

Q: 5. Use the finite difference method of order two with step size h = 0.25 to solve y" – xy' – xy = 0,...

A: solving above question using second order finite difference method 

Q: 38 Divided by 3

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number...

Q: tion formula 2"e" da = a"e" - %3D e integral

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: . Answer the following (show all solution steps) Note : m=0 n=0 a. Give the measure of your length i...

A:

Q: 7 531 Let A = 18 56 then determinant of A, |A| = %3D Answer:

A: Introduction: The determinant is related to a square matrix. It is a scalar value. The determinant o...

Q: 1. Answer the following (show all solution steps) Note: m=2 n=7 a. Give the measure of your length i...

A:

Q: f(x)

A:

Q: 1. Apply the Sieve Process from 200 to 300.

A:

Q: Find all the normal subgroups of D4.

A: To find all the normal subgroups of D4 .

Q: Use the two properties L1 and L2 to show that the following are linea transformations. (a) T:R² →R² ...

A: a Given T:R2→R2 defined by Tx,y=x+y,x−y. We have to show that T is linear transformation. Definition...

Q: A raccoon walks from A = (0, 0) by going either one unit right or one up at each grid point. Which o...

A: Racoon walks from (0,0) according to flipping of coin either on unit right or one unit up.Now the pr...

Q: 8. Find the solutions to the given system of linear congruence. x= 1 (mod 3) x = 3 ( mod 5) x = 4 ( ...

A:

Q: (2) Consider the following system of differential equation, with time domain t e (0, 1): a' = -2x + ...

A: Given, system of differential equation with initial condition is x'=-2x+4e-t          (1) y'=-xy23  ...

Q: || xe ' dydx is хе

A:

Q: About of the species of mammals that live in Canada can be found in the Taiga Shield ecozone. About ...

A:

Q: The function R(x) = –1.07x² + (K + 12.3)x – 116 shows the relation between the | revenue (R) and num...

A: To graph the below function and to show in the graph the maximum revenue value. Rx=−1.07x2+k+12.3x−1...

Q: 7. (a) What is the solution method called that converts a semilinear first order PDE into an ODE sys...

A:

Q: 1. If $19,000 is borrowed at 12% interest to be paid back over ten years, how much of the six-year'...

A: Since you have asked multiple questions here, we will solve the first question for you. To get the s...

Q: Let R be defined on Z x Z where a R y if æ = y( mod 7) Define the equivalence classes of R as P = {[...

A:

Q: The solution of e² = - 11 has the form x + ily + 2nn) where n is an integer. What is the value of x?...

A: The given equation is                                                ez=-11

Q: P(2,-2, 1), Q(3,-1,2) Q@z) If a) find the area of the triangle determined by the Points P,Q, R and R...

A:

Q: Identify the law of logic used in the following simplification step: raovqvr vs)=r

A: The main objective is to identify the the law of logic which is used in simplification.

Q: (a) Show that the p.d.f. of Zf is given by g1(r) = e-(+)cosh(vAr), z > 0, where cosh(2) = (e +e) is ...

A: As per the question we are given a normally distributed random variable Z1 with variance σ=1 and mea...

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.