A building that is 205 feet tall casts a shadow of various lengths æ as the day goes by. An angle of elevation is formed by lines from the top and bottom of the building to the tip of the shadow, as de seen in the following figure. Find the rate of change of the angle of elevation when x 278 feet. dx Round to 3 decimal places. Γ X radians per foot

Q: Number 19. please show work

A:

Q: 3. In the space below, describe in what ways the function f(x) = -2√x - 3 has been transformed from…

A: In graphing a root function, select several relevant x values then calculate their corresponding…

Q: 2.3 Vibration amplitude of a machine plotted against time shown in Fig. T2.3. is described by…

A: The problem is asking us to find the velocity of the vibration as a function of time. In calculus,…

Q: Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They…

A: Let's solve the problem step by step: Given Data:Force from the truck: F1 ​= 377 lb (along the…

Q: 12. [0/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.022. Evaluate the indefinite integral. (Use C for…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the following limit lim x-4 X-72 3x-6

A: We need to evaluate the limit:limx→2​3x−6x2−4​ Step 1: Substitute x = 23(2)−622−4​=6−64−4​=00​Since…

Q: Question 3: A sealed flask at room temperature contains a mixture of neon (Ne) and nitrogen (N2)…

A:

Q: Solve please and thanks!

A: (C) If you have any questions let me know in the comment box thankyou.

Q: The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at…

A: Note- open circle at any point means value of function at that point is not defined or not included…

Q: find a simple formula fot the nth term of the following sequences 1,3,7,15,31,63,. . .

A: First, we need to identify the pattern in the sequence. By observing the sequence, we can see that…

Q: #19

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Question 2. i. Suppose that the random variable X takes two possible values 1 and -1, and P(X = 1) =…

A:

Q: For all

A:

Q: 3. f(7) 3. Find the domain of each of the following functions. 1 1. f(x)=2-6x+8 2. f(x)=√√7-x 4. A…

A: Problem 3: Calculate f(7) For the function f(x)=x2−6x+81​:  f(7)=72−6⋅7+81​=49−42+81​=151​For the…

Q: 1. Determine whether the following sets are subspaces of $\mathbb{R}^3$ under the operations of…

A: A subspace of a vector space is a subset of the vector space that is itself a vector space under the…

Q: 16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d)…

A: Final Answers(a) x=1(b) x=−9/17(c) x=−2/3,−1(d) x=25(e) x≈2.4(f) x≈0.234

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = 1 to x = 6.…

A: We have to determine the average rate of change of f(x) from  x=1 to x=6 by using the given graph of…

Q: Sketch a possible graph of a function f, together with vertical asymptotes, that satisfies all of…

A: Step 1: Step 2: Step 3: Step 4:

Q: The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1.…

A:

Q: 1. One of the partial fractions for 2 4x²+x-9 x3+2x²-3x 2 x+1 a) x23 b) x 1½ c) x² d) x-1 x is

A: One of the partial fractions for x3+2x2−3x4x2+x−9​ is x+32​.(a) option is correct.

Q: Please help me solve.

A:

Q: Solve this

A:

Q: Question 2 Let F be a solenoidal vector field, suppose V × F = (-8xy + 12z², −9x² + 4y² + 9z², 6y²),…

A:

Q: Please refer below

A: We transform the parent function f(x) = x2 into the given transformed function, we apply the…

Q: Find all values of x for the given function where the tangent line is horizontal. 3 =√x³-12x² +…

A:

Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the square root of x dx upper…

A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

Q: find the general soultion (D-DxDy-2Dx)Z = sin(3x+4y) + x²y

A: Approach to solving the question: We are tasked with solving the partial differential…

Q: I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give…

A: Step 1: Step 2: Step 3: Step 4:

Q: practice problem please help!

A: Graph with its slope line If you have any questions let me know in the comment box thankyou.

Q: 1. Find the area of the region enclosed between the curves y = x and y = x. Sketch the region.

A: Step 1: Compute the points of intersection. Since y = x4 and y = x, then x4 = x. Transfer all terms…

Q: ork 5: Solving Right Triangles ent! ** nswers to the nearest tenth. 3. 39 6 6. 0 45

A: Given Information:Right triangleHypotenuse = 45Opposite side = 39Adjacent side = ?Angle θ = ?Step 1:…

Q: a) let SSK : A->R be function and let c be acluster Point of A if lim S, (x) exists for each i=1, 2,…

A: For this Question, please replace g(x) with f(x)

Q: Suppose an oil spill covers a circular area and the radius, r, increases according to the graph…

A: a) We have to find the radius at t = 30 minutes of the oil spill.Now, according to the given graph,…

Q: Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle…

A:

Q: chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2…

A: The given function g(x) = -2√(9-x²) + 37 is a transformation of the basic square root function √x.…

Q: Set up the partial fraction expansion of the function below. Do not explicitly solve for the…

A:

Q: 2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.4.006.MI. Use the Table of Integrals to evaluate the…

A: Step 1:Step 2:Step 3:Step 4:

Q: (c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] 2. Let C([a, b]) be the metric space of…

A: To solve the given problem, we need to find the maximum difference between the functions f(x)=1−x2…

Q: Complete the description of the piecewise function graphed below. 6 5 -7-6-5-4-3-2-1 2 3 5 6 -1 -2…

A: Identified points from the graph: 1. First segment: Points: (−6, −3), (-4, 0), (-2, 3) 2. Second…

Q: If y = /R/cschx + cothx|, 2nd dy 3) ans. aus. dy: x^" [ x² + x^ (1+/nx)/nx] dx + 252 cosh + + C ans.…

A:

Q: 1. Sketch the following piecewise function on the graph. (5 points) x<-1 3 x² -1≤ x ≤2 f(x) = = 1 ४…

A: For x &lt; -1: f(x) = 3 ( horizontal line at y = 3 ) • We can draw a straight line (ray)  through…

Q: Q1: (8+17 Marks) (a) If A-[ a ] is a 3x3 matrix; such that a = i (4-2), find the values of diagonal…

A:

Q: Solve please thanks!

A: ANSWER :​

Q: 3.17 (B). A simply supported beam has a span of 6 m and carries a distributed load which varies in a…

A:

Q: For the curve defined by (t) = (e cos(t), et sin(t)) find the unit tangent vector, unit normal…

A: Given:         r(t)=⟨e−tcos(t),etsin(t)⟩Step 1: Compute the Velocity Vector…

Q: A certain type of machine produces a number of amps of electricity that follows a cyclic,…

A: Graph AnalysisGraph A:The wave in Graph A is a perfect sinusoidal wave that oscillates between 2…

Q: Let h(x, y, z) = — In (x) — z y7-4z - y4 + 3x²z — e²xy ln(z) + 10y²z. (a) Holding all other…

A: Given function: h(x,y,z)=y7−4xln(x)−z​+y43x2z​−e2xyln(z)+10y2z We need to compute the partial…

Q: For the following function f and real number a, find f' (a). f(x) = = √x+4; a = 0 f' (a)

A: Step 1: Step 2: Step 3: Step 4:

Q: 1 -1- Ο Graph of f y = + y = 1 + 1/2 ·2· x Graph of g y = 1- 플 The figure gives the graphs of the…

A: Given that f(x) = arctan(x)We can see that g(x) has (0,1) as the y intercept and 1±2π​ as the two…

Q: Is the function f(x) continuous at x = 1? (z) 6 5 4 3. 2 1 0 -10 -9 -7 -5 -2 -1 0 1 2 3 4 5 6 7 8 9…

A: *The function f(x) is continuous at x = 1-&gt; This is the correct answer since the function is…