A man on a cliff observes a boat at an angle of 'depression of 30° which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later, the angle of depression of the boat is found to be 50°. Find the time taken by the boat to reach the shore.

Q: Question 2 Let r, y ERt with x < y. Show that y-l<x-1.

A: We have to prove that the given inequality.

Q: (b) y" + y' – 6y = 6Kx.

A:

Q: Let L : R → R² be defined by L(æ) = L T2 (:) - () Show that L is not a linear transformation by…

A: We have to prove that L is not a linear transformation.

Q: 1. Solve the DE tan x sin y v + ( 3tan X -2 cos y) sec'x=0

A:

Q: 3. Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A: We have to find orthogonal trajectory for the family of straight lines passing through 3,-5

Q: 6 dx t.

A: Here, we need to find the following expression of the integral.          I=∫0∞1-eabx6cDx2dx Here,…

Q: A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8…

A: This is a problem of motion of a particle.

Q: 3. What is X law? * [(p Vq) AT] → ¬p =(p Vq) →-p X law O A. Identity Law B. Distributive law O C.…

A: what is  x law

Q: 1. F = (A'+B)C 2. F= A'B'C' 3. F= A'B+ AC 4. F= AC+ A'BC + A'BC' 5. F = AB' + A'B

A:

Q: Let -13 4 -8 2 -37 15 -28 -5 A = -6 4 -7 -6 0 0 1 Find a matrix P such that D = P-1AP is the Jordan…

A: Given that  -134-82-3715-28-5-64-7-60001 To find the matrix P such that D=P-1AP

Q: Be sure to show your work for the following questions. (a) Find the range of y = 2x2 + 6x – 4; (b)…

A: (a) To find: range of y=2x2+6x-4. (b) To find: the formula of a quadratic polynomial that passes…

Q: Find the cube root of unity using De-Moivre's theorem and apply the same theorem to find the square…

A:

Q: If the animal is in the woods on one observation, then it is four times as likely to be in the woods…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas…

A: Given that the maximum temperature recorded was approximately 44°C and the minimum overnight…

Q: 20x2 + 33x + 11 dx = %3D (x – 1)(x + 1)²

A:

Q: (a) Let D: P3 → P3 be the differentiation operator. Find the kernel and range of D. (b) Let M22 be…

A: Let V and W be two vector spaces and T : V→W be a linear transformation. Then    the kernel of T is…

Q: Q8. a) Determine an algebraic expression that represents instantaneous rate of change at the point x…

A: Instantaneous rate of change at point

Q: (c) If a > 0, then > 0. a

A:

Q: A vibrational system consisting of a mass m 1/4 slug attached to the spring 2.5lb/ ft is modelled by…

A:

Q: 7. An initial deposit was placed into a crypto-account that accrues interest compounded…

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

Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

A:

Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

A: We find Z- transform of x(n)=3nu(n-3).

Q: Aside from finding the optimal routes, what are other real-life applications of Hamiltonian…

A: To write: (i) Applications of hamiltonian circuits. (ii) Applications of Graph theory.

Q: 2. A factory uses ingredients A, B, C, D, E, and F to produce products I, II, III, IV, and V. The…

A:

Q: If she made the last free throw, then her probability of making the next one is 0.6. On the other…

A:

Q: Determine from the given graph whether the function has any absolute extreme values on [a, b]. Ay…

A:

Q: The base of S is a circular disk with radius 4r. Parallel cross-sections perpendicular to the base…

A:

Q: Use the following matrices for the next 3 questions 1 2 0 B= 3 4 5 0 0 6 det(B)

A:

Q: Ci is (x(t), y(t)) = (t, 0) for - 1<t< 1 and C2 is (¤(t), y(t)) = (cos t, sin t) for 0 <t< r.…

A:

Q: Be sure to show your work for the following questions. 1 (a) Find the domain of f(x) = V4 – x4 - x2…

A: (a)  The given function is,  f(x) = 14-x4. We have to find the domain of f. (b)  The given function…

Q: What is the z transform of h(n) h(n) = L(1/2)^ , 0<n<3 n< 3 elsewhere 0, 1+ (1/4)z2 + (1/8)z³ 1 +…

A:

Q: 20 Jse this to approximate the value of the definite integral f(x)dx. 16 O none of the choices O…

A: Find the answer below.

Q: | Find the rate of change m for -3x + 4y = 14 %3D Find the rate of change for (8,6) and |(10, -2) in…

A:

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A:

Q: Q.13. Solve the folloiwng q.p-p. problem by walfe's method max: = 2.x +x2 -xỉ %3D subject to 2.x,…

A: ⎪⎪⎪⎪⎪⎪Maximize2x1+3x2−2x21Subject to x1+4x2≤4x1+x2≥2x1⎪⎪⎪⎪⎪⎪Maximize2x1+3x2−2x21Subject to…

Q: Fill the last column of the truth table from top to bottom. Note: Type your swer WITHOUT space, for…

A:

Q: | Use the fair division method to solve the following problems. 2. Four friends purchase a pecan pie…

A:

Q: Time, t (min) 4 8 12 16 20 28 Concentration, C (mg/L) 2.5 3.2 3.4 3.5 3.3 0.3 Data in the table for…

A: Below is the solution for this optimization problem. Here we use the differentiation method to solve…

Q: -12 8 A = 8. (a) Write down the general solution of the system = Aã. %3D (b) Say whether or not we…

A:

Q: Question 4 Find the solution. , dy x2 - y²=2xy dx A 2x B y : © y = y = x3

A: Given:x2dydx - y2 =2xy

Q: (5+3<20°+3i+5e0.927i) Solve and express your answer in the form of a + bi (1-3i)

A:

Q: Determine whether the set S spans R2. If the set does not span R2, then give a geometric description…

A: Given S = {(1, -1), (-2, 2)}

Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:

A:

Q: Solve

A: The given equation is z4+83+8i=0

Q: Integral Calculus application In a 4-D Euclidean plane, vector u = (a, b, c, d). In a 3-D space,…

A:

Q: Solve the value of the variables using Gauss Elimination with checking. Write the values of the…

A:

Q: Consider z = 1 - j2 and z2 = -2 + j3. Determine Re[(z2)]2. 5 O -j3 O j4 O j2 O j3 O j2 O 15 O 2 O j4…

A:

Q: Use cylindrical coordinates to solve the integral. Sketch the graph of the region of integration.…

A:

Q: Theorem 85 Let a be a positive real number. For all real numbers and y, 1. 1리 < a → 2. Jay| = |x|…

A: Let a  be a positive real number To prove 1) |x| &lt; a⇔                  2) |xy|= |x| |y|…

Q: a) Find the degree 3 Taylor polynomial T3 (x) for the function f (a) = 4 In() centered at the point…

A: To find the Taylor polynomial of degree 3 for f centred at a=2.