A lighthouse is on an island 300 meters off shore. The lighthouse beam makes a full turn every 7 seconds. How rapidly is the point where the beam meets the shoreline moving along the shoreline when the beam meets the shoreline at a point 1000 meters from the lighthouse? m/s (enter your answer rounded to 3 decimal places) Question Help: Video 1 Video 2 Written Example 1 Submit Question

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) ==

A:

Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

A:

Q: Explain the process and strategies you would use to determine the derivative of y=tanx. Note that…

A: Break the tanx into Sinx/Cosx

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

A:

Q: DETAILS LARPCALCLIM4HS 5.3.063. Solve the equation. (Enter your answers as a comma-separated list.…

A:

Q: dx (5-4x-x²) 18. 8. f

A:

Q: If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air…

A: On solving this we will get

Q: Find the derivative of f (y) = 5 sin6 (yª).

A:

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: 7 dx x4 - 16

A:

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

A:

Q: Consider the differential equation y 4xy (In y)² Find the solution that passes through the point (0,…

A: The given data is: y'=4xy(lny)2  To find the solution that passes through the point (0,e)

Q: If f(x) = 5x (sin x + cos x), what is f'(x)? ○ 5 (sin(x) + cos(x)) + 5x (cos(x) = sin(x)) O No…

A:

Q: POT Q3.If f(x,y) = sin'(x-3y) +sin xind: of af and ду

A: Given:     fx,y=sin2x-3y+sin-1xy Taking partial derivative with respect to x.…

Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

A:

Q: 3. Use a known Maclaurin series to obtain the Maclaurin series for the following. f(x) = x cos (₁)

A:

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: Fill in the missing steps to determine convergence or divergence of the following series 2(1. n-1…

A:

Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

Q: xç lim x⇒-∞ x² −10x+5 –

A: The objective is to evaluate the limit.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given indefinite integral is: I=∫dx4x+3   ...1   As we know the common integral. ∫1xdx=lnx+C

Q: 9: (71

A:

Q: Which equation shows the correct derivative of the equation y = 2x² + 14x + 5? Oy = lim- 4th + 2h² +…

A: On solving this we will get that

Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

A:

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = √√√√x² + z², y =…

A:

Q: Question Define R as the region bounded by the functions f(x) = e and g(x) = e between x = 0 and x =…

A:

Q: Question +² + 1 and g(x) = 2 between x = 2 and x = 3. If R is rotated Define R as the region bounded…

A:

Q: Determine the third order MacLaurin's polynomial for f(x) = ex.

A: Given,  f(x)=ex

Q: For what values of a and b is the following function continuous at every x? 0 XS-1 f(x)= ax-b - 1<x<…

A: Given that function     f(x) =           0                  x ≤-1 ax-b-1        -1&lt;x&lt;1…

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: What is the second derivative of the function y = -7 sin x cos x where x is ? Round your answer to…

A:

Q: S x3 -4 16-x² A 4 B) None C 0 D) 8 E 2 dx is equal to

A: To find the value of the given integral

Q: Evaluate Sc (4x+3√7) ds ds where C is given in the accompanying figure. Sc (4x + 3√/y) ds = (Type an…

A:

Q: Calculate the centroid coordinates of quarter circle (x² + y² = a*) in the quadrant, use Cartesian…

A:

Q: f(x)= (7x¹-5x-2)

A:

Q: cos5 0 sin 20 de

A:

Q: A scheduled payment of $4,000 due in one year is to be replaced with two payments: the first due in…

A:

Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: To find f(x+h) replace x by x+h in f(x).

Q: hello, could you sketch the graph please

A: Let's sketch the graph.

Q: dx (16+x)³3/²

A:

Q: √5x²-3 d X - X -dx

A: Given problem:-

Q: The attached figure shows the surface S1 : y + z = 2 , limited in the first octant with the surface…

A:

Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: 13. (2x³ +9x) dx ²+3)(x² − 2x+3)

A: Given

Q: Find the critical numbers of the function 2x5 – 5x¹ – 10x³ – 4 and classify them using a = f(x)…

A: We need to find critical numbers and classify them.

Q: 2.2 INTEGRATION OF RATIONAL FRACTIONS 16

A:

Q: y = 9x² and y = 0 about x = -4

A: I am going to solve the problem by using some simple calculus to get the required result of the…