television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed is 900 ft/s when it has risen 3000 ft. (Round your answers to three decimal places.) (a) How fast is the distance from the television camera to the rocket changing at that moment?  ft/s (b) If the television camera is always kept aimed at the rocket, how fast is the

Q: arcsin = ab²x² - √a² - y²; Find y. I

A: Recall: y'=dydx

Q: 25 Determine the surface of the solid formed by revolving the upper half of the circle x² + y² = p²…

A: According to bartleby guidelines for multiple question I can answer the first question. Thankyou.

Q: At what point on the y-axis will the normal line at x = 1 of the function f(x)=√x intersect?

A:

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

A:

Q: Use logarithmic differentiation to find the derivative of y = sin(5x)1+5x; y = 5*(1+5*x)*sin Your…

A:

Q: Evaluate the following integral. 2x + 5 2 x + 25 X 2x + 5 2 x + 25 dx dx =

A:

Q: Given: y = 5 (cosh log )², find y' (cosh² O g = =|sinh 2 log = ]5 sh®log }} O 5 O ý =−}(m& )[sinh 2…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: If f(x) is continuous false 2. Assume that f(t) is continuous on [1,5] and that f(1) = 20, f(5) =…

A:

Q: Find the derivative of: - R(t) = (sin² (3t+1), ln(t² − 1), ²) +1

A:

Q: Solve the equation: 5-2 = 32+1

A: See this solution in below.

Q: If f(x) = x5 + x + 1, find (ƒ−¹)′(3). Note: The point (1,3) is on the graph of f. [B] 1 [E] ¹ 6 [A]…

A: Given query is to find the value of indicated function.

Q: Problem 2 Given the following differential equation: (y³+kxy4 - 2x)dx + (3xy2 + 20x² y³-ky)dy = 0 a)…

A:

Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

A:

Q: State the equation of the rational functions whose graph is below. y 5+ 4+ 5432 3+ 2+

A: NOTE: Refresh your page if you can't see any equations. . as we can see  from the graph, the…

Q: Let f(x) = 5x + 4 and g(x) = 1 x² 12x + 32 — • You must combine all like terms before you submit…

A:

Q: the reference angle of an angle -145 degree?

A: We have given angle  Let, θ=-1450 Coterminal angle is given as θc=3600-1450 θc=2150 So, θ=-1450 lies…

Q: Number 2: Given the following first-order linear differential equation: v-1 dv 32 dt V e Write the…

A:

Q: Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to…

A:

Q: Let Find the values of y = f(x) = 10x³ + 3x - 3. Y₁ = f¯¹(x)|x=83, Y2 = f¯¹(x)|x=-899 Y3 = f¯¹…

A:

Q: 3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find…

A:

Q: D Question 8 Given the following graph of a function. 3 2 O (2,00) 4 4-3-2-1 12345X -1- -2 -3 4 5…

A:

Q: Obtain the differential equation of this family of curves. The lemniscate ² = acos 20

A: see below the answer and calculation

Q: Suppose that the plane tangent to the surface z=f(x, y) at (−1, 4, 5) has equation z+5x+1y=4…

A:

Q: Which of the following is true about a differentiable function f(x) whose inverse is g(x). og (2) =…

A: To find the derivative of inverse function.

Q: What term(s) should appear in the partial fraction decomposition of a proper rational function with…

A: Topic - Partial fraction decomposition We are given, a.) A factor of x-3 in the denominatorb.) A…

Q: Let f(x) f(g(x)) = g(f(x)) 30 C Question Help: - 4 Find the following functions. Simplify your…

A: Given query is to indicated composite function.

Q: A particle moves along the curve implicitly defined by xy¹ - yx4 = x-y2. When the particle passes…

A:

Q: Find the derivative of the function: O y = e(ee+z) O y = e(e + 1) Oye (e + 1) Oy' = eªte²+et Y =…

A: eeex' =eeexeex' =eeexeex+x=eeex+ex+x

Q: Given the following first-order linear differential equation: dv 32 = dt V v-1. е a) Write the given…

A: Need to find out the general solution.

Q: Hi can you type out the answer cause the answer is kinda messy

A: We need to write convert the given non linear differential equation into linear differential…

Q: Fill in the first 3 levels of Richardson extrapolation to estimate the derivative of sin(x) at x =…

A:

Q: Find the domain of the vector-valued functions: A. R(t): = √t² - 9 î+ Inlt - 3| ĵ + (t² + 2t - 8) k…

A:

Q: 1. Given [x² +1, 2x, x ≤ 1 x > 1. Is f differentiable at x = 1? Is it continuous at x = 1?. f(x) =

A:

Q: Question 26 Find the second derivative (y") of the given function: y = e² sin z *)(2(- sin x)) e²…

A:

Q: a. Plot the polar equations r = 10-9-8 Clear All Draw: (xx) = (1 5 and r = 8. 10+ 9 & d 6 8 9 b.…

A: Let's find polar equation and two points.

Q: Consider the ellipse foci? (x-5)² 256 + (y-7)² = 1. From any point on the ellipse, what is the sum…

A:

Q: f(3) = 0 f has a horizontal asymptote at y = 2 f has vertical asymptotes at x = 4 and x = - 4 f(0) =…

A: We need to create a function.

Q: given cosA=-4/5 with A in QIII and sinB=4/5 with B in QII. what is the value of cos(A+B)?

A:

Q: . Evaluate the for parametric equations x = 3t² - 6t and dx = 3t³ + 3t with respect to the…

A: Given query is to find the Indicated derivative.

Q: simplify the expression:  tan^2theta/sec^2theta+cot^2theta/csc^2theta

A:

Q: Find the inverse transform of the given function of s. = 6s - 49 s²-85+41

A:

Q: Find {f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) cos( +…

A:

Q: Evaluate the following integral using partial fraction decomposition. S 12 (x-4)(x+8) 12 (x-4)(x+8)…

A: The given integral ∫12x-4x+8dx We have to find the integral using partial fraction.

Q: Concept check: Evaluate the following integrals and use the appropriate transformations when needed.…

A:

Q: 2 Evaluate the following Integral - Find the partial fraction decompe √x3-3x² dx =

A:

Q: 7. g(x) = In (x₂²x)

A: To differentiate the given function.

Q: Find the directional derivative Du f(−5/6,1) for the function f(x,y)=cos(π(3x+4y)) in the direction…

A: Given fx, y=-cosπ3x+4y v=9, 12

Q: . (tan¯¹(t),e¯² Evaluate lim (tan-¹(t), e-2t, Inty t→∞

A:

Q: 3. Let f(t) = t(1 - 2t). a) Find the average rate of change of f(t) with respect to t as t changes…

A:

Q: Perform the following Operations on the Vectors= (-=-=-=-₁-3,₁-53₁ V² =<4₁-2,-17 W³² = (-4,04) R₁W=1…

A: Since you have asked a question with multiple parts in a single request we would be answering only…