A famous leaning tower was originally 184.5 feet high. At a distance of 130 feet from the base of the tower, the angle of elevation to the top of the tower is found to be 56°. Find ZRPQ indicated in the figure. Also find the perpendicular distance from R to PQ. 184.5 A ZRPQ = (Round the final answer to one decimal place as needed. Round all intermediate values to four decimal places as needed.)

Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

A:

Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

A:

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

A:

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: Evaluate the definite integral 2x2 + 2

A:

Q: The graph of y= f (x) is drawn below, sketch a graph of y = f(x).

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

A:

Q: Solve the triangle. 5 B. A (Round to one decimal place as needed.)

A: On solving this we will get

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: c). Using an integrating factor solve the equation dy + 2y/x = x dx

A:

Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: To evaluate the Integrals, use the additive Interval property of Integrals which Is glven as…

A: answer is in next step

Q: A. Use polar coordinates to describe the region shown. 1.

A:

Q: A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms…

A: Follow next step

Q: D. Verify if The relatum O y= xe' y= eco{ 2x) is a soluhon to yl-Gy'+13y=D0 is a solution to yl -…

A: For verification of the solution will find the respective derivative and substitute into the…

Q: dy Find for y = dx V7 – x2 dy dx

A: Differentiate  y with respect to x

Q: The vertical and horizontal asymptote for f(x) are X+4 a. x = -4, y = 0 b. no vertical asymptote, y…

A: Follow next step

Q: Sind Double în tegrals the area hounded curve y =x?+5, Line t:

A:

Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 325…

A: v(t)=325sin(100πt) period =2π/B B=2π/(100π) B=1/50 B=0.02 sec

Q: Evaluate the summation S -1. 35 85 55

A:

Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: Use Newton's Method to approximate the root of x In r 2 accurate to five decimal places. Begin by…

A:

Q: Solve the following differential equation y" + 2y'+y = x-1

A:

Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

A:

Q: Find the average value of the function over the given Interval and all values of x In the Interval…

A:

Q: Given f''(x) = 8x + 6 and f'(0) = 1 and f(0) = 2. Find f'(x) =

A: f''(x)=8x +6integrating w.r.t. x;∫ f''(x) dx =f'(x)f'(x) =∫ (8x+6) dx        =8x22+6x+Cf'(x)…

Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

A:

Q: y=f(x) A1 АЗ 15 A2 7 A4 10 (figure is NOT to scale) Evaluate the integral below by interpreting it…

A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

Q: Find (3+2) - 2i . 406 754 386

A:

Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: proportional

A: We will solve the problem.

Q: Corfect The weekly revenue from the production and sale of x units of salt is given by R(x) = 119x-…

A: Given query is to find the units for maximum profit.

Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

A:

Q: In spherical coordinates equation for the paraboloid z = 2 - x - y? is p(cos o - psin² ¢) = 2 |

A:

Q: Given that f(x) = a°h(x) h( – 1) = 3 h'( – 1) = 6 Calculate f'(- 1). Hint: Use the product rule and…

A:

Q: 6. Verify each of the following identities: cosx (a) 1-sinx secx + tanx 1 + 1-sinx 1 (b) 2sec?x =…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

A:

Q: 10 Evaluate the summation i. i=1 55 10 1

A:

Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

A:

Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Let limf(x) = 3 and limg(x) =. Find

A:

Q: n=1 convergent, absolutely convergent or divergent.

A:

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: Test for convergence or divergence, using one of the tests listed below. 1 1 n + 5 n + 6 n = 1…

A: Given query is to find series converges or diverges

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4.x + 2y + z subject to æ + y…

A:

Q: Given the equation 2x + 3y = 6, a second equation that forms a system with no solution is: O 2x – 3y…

A: Given; 2x+3y=6

Q: Use the direct comparison test to determine if the following series converges or diverges. sin?n Σ…

A: Solve the following