From a building across the street, the angle of depression of the foot of an edifice is measured as 13.7 degree and the angle of elevation of the top is 45.8 degree, If the observers eye is 14.7m from the ground level, find the height of the edifice.

Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given  :

Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

A:

Q: 3. 2. 1 15. The graph of f is shown in the figure above. If , f(x)dx=2.3 and F'(x)= f(x), then F(3)-…

A: ∫13f(x)dx=2.3 and F'(x)=f(x)

Q: Find f. (a) fi" (æ) = sin æ, f(T)= 2, f'(7) = 3. %3D %3D (b) f' (t) = 2 + , f(1) = 1.

A:

Q: 1. (a) By reading values from the given graph of f, use five rect- angles to find a lower estimate…

A:

Q: j. r (0)=tanh (cas o)+ cos h (e)

A:

Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

A:

Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: d 31. Evaluate et ht dt 1 ((1+ Int) dx 1 A) x(1 + Inx) C) x+1 xe* B) 1+x D)

A:

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A:

Q: f fcx) = 5 Ccor"2x) 131

A: The objective of the question is determine the derivative of the given function.

Q: Solve the equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

A:

Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

Q: 1 3. (x+1)(x²+4)² dx

A: The given integral is  1/[(x+1)(x2+4)2].

Q: dy = -xy %3D dx

A:

Q: Given, A = 2? zi – 2332j+ x} zk. ind divA at the point (1, –1, 1).

A:

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: we know that  The deck has cards in two colours red and black

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

A:

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

A:

Q: 21. If F(x)= [ VP +1 dr, then F'(2) = %3D (A) -3 (В) -2 (C) 2 (D) 3 (E) 18

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: Given that a card is drawn from a well-shuffled pack of 52 cards To find the probability of (iv) a…

Q: Sketch the graph the integrands and use areas to evaluate the integrals. V16 – x² dx

A:

Q: ( + TO 1) y= sin 4. 6. 1 cos (20- TC %3D 2. 3

A:

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: determine which statement is true {(x, y)|x = y2} (A) not a function (B) function; domain: R (C)…

A:

Q: When harvesting apples in a grove, the number of apples harvested increases at a rate of R(t) apples…

A: Here, the rate of harvesting increases at the rate R(t) per hour with t≥0

Q: Let g be a function with derivative given by x2 - 2x - 8 g'(x) = V2x³ +5 - 1<x <5 %3D . At which…

A: Occours

Q: Next, simplify. - 3t dt = dx

A:

Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

A:

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

A:

Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: Three vectors are given by: J = 2î – k K = 2î – ĵ+ 2k L= 2î – 3} Determine: (i) K•L x J; and (ii)…

A:

Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

A:

Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

A:

Q: Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x³ + 11.

A:

Q: From the graph below which statement is true?   (A) not a function (B) function; range: R (C)…

A:

Q: Consider a triangle where A = 30°, a = 1.5 cm, and b 1.2 cm. %3D (Note that the triangle shown is…

A: Explained below

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A:

Q: (4) Evaluate S SR e™y-2dA where R is the region enclosed by y = 4x, y = }, y = ± and y = 1.

A: Let's find.

Q: 38. Determine the integrating factor of the linear differential equation y' - (1 + tanx)y = e cos'x.…

A:

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: Publishing The following table shows the results of a survey of 500 authors by a publishing company.…

A:

Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

A:

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A:

Q: Q1- A coin throw three times find: 1. Sample space 2. Probability at least head appear twice 3.Never…

A:

Q: Fina the integral (2x-1) (x+3) a. In 7 (2x-1) + C x+3 b. In 6 (2x-1) + C x+3 3 (2x-1) c. In + C x+3…

A:

Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: