From the top of a 214-ft lighthouse, the angle of depression to a ship in the ocean is 29. How far is the ship from the base of the lighthouse? Round your answer to 2 decimal places as needed. feet

Q: W 2 2 -2

A: First we figure out the parent function of above graph.

Q: Solve for x, to two decimal places. 200 = 4(5)* O a) 10.00 Ob) 2.43 Oc) 12.15 d) 1.87

A: The given equation is: 200=45x   As we know from the logarithmic property, logbxa=a·logbx  where…

Q: xp x^ (x)u[ 6 1 Jo 2.

A:

Q: Convert the angle 360° to radians.

A:

Q: 1. What is the 'exponential equation' of the function shown? 0 3(5*) b) f(x) = 3(5) a) f(x) = = -x…

A:

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE.) 8x8 r(x) = x + 2…

A:

Q: What is the maximum number of real distinct roots that a quartic equation can have? a) infinitely…

A: ## we want to find out that how many real distinct roots that a quartic equation can have.

Q: Algebraically determine the limit: a) lim tan(x) 7m H4 (Hint for part b. Consider the quadrant and…

A:

Q: State the derivative. Do not simplify. f(x) = log(x) + log₂ (x)

A:

Q: How do I find limits based on a graph?

A: Topic:- application of calculus

Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

A:

Q: If lim f(x) = 2, and lim g(x) = 7 find: C→C I-C a) lim 4f(z) A C b) lim ln(g(x))

A:

Q: a circle of radius 6 feet, what angle would subtend an arc of length 7 feet? (Round your answer to…

A:

Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

A:

Q: Solve for x. x a) x=18 b) x=81 O c) x=6561 d) x=36 = glog, 81

A:

Q: 6) We are going to fence in a rectangular field. If we look at the field from above the cost of the…

A:

Q: f(x)=√x-2 X-4 find lin f(x) Xx4

A: Given:- fx=x-2x-4 To find:- limx→4fx

Q: Are the angles 292 in degrees and 652 in degrees coterminal?

A: We can answer the question in the following steps.

Q: (4-x-x² if x ≤1 if x > 1 2x 5 Calculate the following limits. Enter "DNE" if the limit does not…

A:

Q: Determine the average rate of change for the function f(x): = -1≤x≤1. a) b) c) d) - 4 3 18 3/2 x x-3…

A:

Q: Find a vector a with representation given by the directed → line segment AB, where A(−5, 0, 1) and…

A:

Q: Suppose an object is fired verticall- upward from the ground with an initia velocity of 96ft/sec.…

A: Topic:- calculus

Q: In the set of all strings of eight uppercase letters (possibly repeated) from the English alphabet,…

A:

Q: Given the function f(x)= X x-2’ a. Determine the average rate of change on the interval -4≤x≤-1. b.…

A:

Q: The angle between 0° and 360° that is coterminal with 1630° is Question Help: Video Post to forum

A:

Q: lim x→→3 x³-7x-6 2x³-11x²+12x+9 ³√x -1 lim X→1 X-1 sina sin 2α lim a-0 1-cos a

A: To evaluate the following limits.i limx→3 x3-7x-62x3-11x2+12x+9ii limx→1 x3-1x-1iii limα→0 sin α sin…

Q: Find: a. b. C. f(10x¹-12x³ +9x² -8x + 1)dx 8x4 +9x³-7x √ X dx (2x² - 4x + 5)(3x + 2)dx

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: The composite function (f)(x) is equal to a) x O b) f(x) c) ƒ'(x) d) [ƒ'w][f]

A:

Q: X y 2 3 4 7 8 5 7 9 5. 10 11 X 12 y 3 14 5 6. 12 7 18 9 11 11

A: Here, the domain of the function is the set of input values, that are x, and the range is the set of…

Q: Consider the equation sin what is another value of that satisfies this equation? a) 3 4 b) 2₁ 3 5л 4…

A:

Q: Find the standard equation of the circle which satisfies the given conditions. 4. center at the…

A: The objective of the question is determine the standard equation of circles.

Q: From the top of a 237-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far…

A:

Q: EXERCISES 2.1 Find the coordinates of the focus and the equation of the directrix for each parabola.…

A: I have solved all questions step by step in detail...go through the solution

Q: Find the following. Assume that letters can represent any real number. √(x-9)7 The answer is

A:

Q: probability of relapse into alcoholism can be modeled with a discrete random variable with mean ? =…

A: Given data:- We know that given a discrete random variable with a mean of 4 years so we will use…

Q: 6. Which is a transformation applied to the base function of f(x) = 3(2*+³) — 5 a) A vertical…

A:

Q: eate a table of integer values for x = -2 through x = 2 for _x)=x²-5

A: Topic:- calculus

Q: 1 1 1 6⁹ 9' 5' 1 24 24⁹ 40 and 5 12

A: Given fractions:- 16, 19, 15, 124, 140, and 512

Q: 1. 3. 2. y 4.

A: If in a graph of a function a vertical line at any point of graph intersect a curve more than once…

Q: unction f is defined as follows. -3x+5 if x < 1 4x-2 if x21 nd the domain of the function. ocate any…

A: Topic:- calculus

Q: Find k if 2x + 1 is a factor of kæ³ +7x² + kx − 3. a) k = -2 b) k = 2 Ock= 11 d) none of the above

A:

Q: LEARNING ACTIVITIES Directions: Give the coordinates of the center, foci, vertices, and covertices…

A:

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of J π 4' and a…

A:

Q: The graph of y = tanx has vertical asymptotes at certain values of x becaus tangent ratio is at…

A: We have function y=tanx which can be written as  y=sinxcosx

Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

A:

Q: 2 TL (21) 3.The vertex is at (4,-4) and the directrix is y + 5 = 0.

A: Topic = Parabola As per guidelines, At a time only one question can be answered.

Q: simplify the difference quotient f(x+h)-f(x)/h for the function f(x) = 10/x

A: Given query is to find simplified diffrence and quotient for given function.

Q: 13-y ≤ 8( カート f

A: 13-y≤8(y-4)