A biologist on a 50-meter observation tower at the edge of a beach sees a great white shark swimming near the surface. Th depression of 10°. How far is the shark from the observation tower? 50.77 m 88.16 m 287.94 m 283.56 m

Q: 4. Let C(q) represent the total cost, in dollars, of producing q items. If C(100) = 1100 and C'(100)…

A: Since C'(100)=20After every unit of production after 100, C(q) will increase by 20.so additional…

Q: Find the entry-exit angle of the conjugate pole if each division in the real axis is worth A=0.5 and…

A:

Q: 3. Let f(x) = :{₁ I; 2x; (0 ≤ x < 1) (1 ≤ x ≤2) i) Is the function f(x) continuous on [0, 2]?…

A: Given function is i) Here,,so  does not exists.Hence f is not continuous at .In other words, f is…

Q: Please show solution

A:

Q: Identify the marked points as being an absolute maximum or minimum, a relative maximum or minimum,…

A: A curve as follows:To Find:Marked point as absolute maxima or minima and relative maxima or minima.

Q: Now use the chain rule to calculate the following please enter aircsin Instead of sin whenever…

A:

Q: 1. Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: 1. There are 10 points on the plane and no three points are collinear.To Find: The number of…

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: To determine the interval where function is increasing or decreasing

Q: X'= -13 -17 -2 10 14 - 10 - 10 - 13 - 17 -2 10 14 2x₁ - 3t H 2 x; x₁ = e 2 Flicid 11 3 -2, X₂ = e²¹…

A: If  are the solution of Then it must satisfy the sytem.

Q: (32³ mod 13)² mod 11

A:

Q: Q5. Consider the following integral equation I = -dx 1+x Evaluate the integral by using the…

A: Given that ,Suppose   and    be  a  partition of the interval [0,1].Thus,

Q: Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A…

A: (.) Given matrix is ,            and echelon form of matrix  is ,           (.)  Basis of column…

Q: et y = 8 9 and u = 6 8 Compute the distance from y to the line through u and the origin.

A: We have to find the distance from y to the line through u and the origin.

Q: 0 4 12 1. Find the eigenvalues and eigenvectors of the matrix A=0 -4 -12 5 8 8 If A is…

A: Our objective is given below:

Q: = -1 -2 -2 -2 -1 -10 1 5 -5 0 -1 -10 1 -5 5 1 7 7 1 1 20 1 -1 ART 1: hich of the following is NOT…

A: The column space of A is spanned by the linearly independent columns of A.Given reduced echelon form…

Q: Let V = R³ and let H be the subset of V of all points on the plane -6x + 7y - 5z = 0. Is H a…

A: Subspace:  The subset S of is said to be subspace if it is non-empty and is closed under addition…

Q: Z₁ (c) Find 22 using the trigonometric rule to divide. Show all work. Show all work. Leave your…

A: GivenRemember : is the trigonometric form of where

Q: Find a formula for ¹ - 1²/ (²1) + 1² ( 2 ) -—- ... ₁ (2). (G) + (-) + I u

A:

Q: :1) Vауки V=yon = 5xy'-гу 1-n X

A: As per the guidelines I am answering only one question at a time.[7] We have to solve using…

Q: Evaluate: 13−108+613−108+6 (Correct to 2 significant decimal figures) a. -0.04 b. 1.50 c.…

A: Evaluate: 13−108+613−108+6 .

Q: lim Evaluate the limit 0-4 01 Does not exist 9-x²-3 7x using L'Hopital's Rule if necessary.

A: The given limit is .We have to find the limit using the L'Hopital's rule.

Q: Evaluate X J₁ sin (y + 2 x R where R is the triangular region with vertices (0,0), (0, 1), and…

A:

Q: Use your assigned compound statement pto do the following:  Translate compound statement p into…

A: As per the question, I will provide the solutions for the following tasks:(i) Translate compound…

Q: What is the relationship between the degree of a field extension and the size of its Galois group?

A: A field extension is a pair of fields E and F such that the operations of F are those of E…

Q: Maximize P=40x+50y Subject to 2x+y0 only HANDWRITTEN answer needed ( NOT TYPED)

A: Given:Maximize Subject to

Q: A characteristic of a good survey is to: choose specific members of the population. aim for a good…

A: A characteristic of a good survey is to:

Q: An r-sided die with values 1, 2, ..., r is rolled 2n times and the results are placed in a sequence…

A: To find the probability that the sequence  satisfies the condition , we need to count the number of…

Q: Solve the equation. (3x³ + xy)dx + (x³y - x²)dy = 0 An implicit solution in the form F(x,y) = C is…

A:

Q: Evaluate the surface integral where S is the part of the cone z = 3 - The surface integral equals…

A: Evaluate the surface integral,Where S is the part of the cone above the  plane.To find the value of…

Q: Consider the problem of finding the number of integral solutions of the equation ₁+X2+X3+ *4 = 20…

A: (a) The equation can be rewritten as follows by adding the variables  y₁ = x₁ - 3, y₂ = x₂ - 1, y₃ =…

Q: 1. 3x-5y = -17.6 7y - 2x - 22 = 0

A: The system of equations is:To solve using determinants.

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: is the part of the cone between

Q: of A By computing the fundamental matrix, show that the matrix exponential is eAt = (¹ 1 + 2t t -4t…

A: We have to find the matrix exponent of A.

Q: Suppose that {u, v, w} is a set of three vectors, each of which is a member of R³, that {u, v} is…

A: Given :u,v are independent and w=2u+4v.

Q: Match each function with its graph. A 1. f(x, y) = 3-√√√x² + y² B 2. f(x, y)=3-x² - y² C 3. f(x, y)…

A:

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: The given vectors are:To Do: Write  as a linear combination of , and .

Q: Problem 5 Suppose that a department contains 10 men and 15 women. How many ways are there to form a…

A:

Q: In Problems 1 through 10, sketch the graph of the function f defined for all 1 by the given formula,…

A: Here f(t)= sin3tWe know ,Period of sin ax = 2π/aSo, Period of sin 3t will be = 2π/3

Q: f(x) y 1 4

A: Given graph of  as below

Q: Find the (real) eigenvalues and associated eigenvectors of the given matrix A. Find a basis of each…

A: Our objective is given below:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral 2/3 | (0…

A: with n=8Approximate by usingTrapezoidal rule, Midpoint rule, and Simpson's rule.

Q: Hundred percent efficiency needed

A: From the graph we see that the value of f(x) can be made arbitrarily large negative by taking x…

Q: Solve the following Laplace equation on a domain exterior to a circle: (r>a, π <0 < π) 1 Au = Urr…

A: As per the question we are given the Laplace's equation in polar coordinates and we will solve it by…

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Mnty Solve higher…

A:

Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

A: The given differential equation is .We have to find the roots of the associated auxiliary equation.

Q: Find an exponential generating function for the number of permutations with repetition of length n…

A:

Q: Use the method for solving homogeneous equations to solve the following differential equation. dx _…

A:

Q: Use the following applet to answer the questions that follow (clickable link) →→→ Contour Plot The…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question.

Q: Water is pumped into a spherical tank with a radius of 10 feet at a constant rate of 5 cubic feet…

A: The height and the radius is given as follows,r = 10h=5

Q: 7. Consider the curve C parametrized by the expression ) = (t + 2/², t - ²/², 2a ln ²) t r(t): where…

A: The parametric equation is: .Here,