A tree on a hillside casts a shadow c = 225 ft down the hill. If the angle of inclination of the hillside is b = 16° to the horizontal and the angle of elevation of the sun is a = 46°, find the height of the tree. (Round your answer to the nearest foot.)  ft

Q: A series RLC circuit is shown in Figure Q4 (b) where R= 4Q, L = 0.5H, C= 0.1F,E(t)=10 V and i(0) = 0...

A: Given: R=4ΩL=0.5 HC=0.1  FE(t)=10 V

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

A: To determine:

Q: x+1 x-x-2

A:

Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: We will use the intermediate value theorem. 

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

A:

Q: A. Evaluate the given limits. 1. lim 0 X-1

A: Topic = Limits

Q: 2. An area is bounded by the curve y = 8/(x² + 4), the x-axis, and the lines x + 2 = 0 and x-2 = 0. ...

A: Given, The curve bounded by y =  8/(x2+4) and x axis (y=0) And lines x+2=0 and x-2=0 x= -2 and x=2

Q: 18( cos54 + isin54°) 3(cos102" + isin102" )

A:

Q: LINEAR DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS (STEP BY STEP SOLUTION) (D4 - 1)y = e*

A: Please see the below picture for detailed solution. 

Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

A:

Q: 3 tan x – 4 cos? x cos x

A: Given : ∫3 tan x-4 cos2xcos xdx

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A:

Q: 21. The radius of a spherical balloon is increasing at the rate of 3 centimeters per minute. How fas...

A:

Q: Question 15 Determine the equation of the curve whose tangent line at any point (x.y) is e* – sin x ...

A:

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A:

Q: A. How do you define Differentiation? B. Explain the principle of derivative with a given function, ...

A: Differentiation 

Q: dy (x + 1)+ (x + 2)y = 0 dx

A: Follow the procedure given below.

Q: a population of 7.2 million grows at a constant percentage rate.  1. what is the population 1 centu...

A:

Q: dx What should be the rewrite of the integrand of so that the resulting integral is integrable? ... ...

A: ∫dx1+cosx

Q: The equation f(x) = e^x – 3x^2 has roots in [3, 5]. Using 5 iterations, find this root using the Bis...

A: fx=ex-3x2a1, b1=3,5------------------------------Percentage true error : True value-Estimated valueT...

Q: (D² – 2D + 1) y = e*/x3

A: Given ,(D2-2D+1)y=exx3The A.E. is, m2-2m+1=0(m+1)(m+1)=0⇒m+1=0 or m-1=0⇒m=-1,-1Therefore C.F.=(C1+C2...

Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the...

A:

Q: The definite integral (-+ dx when evaluated is equal to- 11 Find the value of a." 12 ... -8 1. 3.

A:

Q: Bin decides to fly to Hono, Maui from Seattle, a distance of 2,678 miles. His plane travels at 567 m...

A:

Q: A town has the population 9000 people at year t=0. write a formula a. The population shrinks by ...

A: A town has the population 9000 people at year t=0. write a formula  let a=9000, t=0, Let t1 is the p...

Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

A:

Q: Forms of Summation Notation 1. Summation of n Variables: 'x' Ex; = x1 +x2 +X3 +...+x, Example Given ...

A:

Q: xª + x³ + x² – x + 1 2 x(x² + 1)²

A: Here we have to find the partial fraction decomposition of the given fraction.

Q: To evaluate 3cos x=1 dr. the integrand can be transformed to 1-sin2x A.) S(3cos³x + csc?x)dx B.) 3 c...

A:

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

A:

Q: Consider the graph of f. y 4 3 1 1 2 2 3 4 5 6 7 8 9

A:

Q: In Problems 59-66, use the price-demand equation to find the values of p for which demand is elastic...

A:

Q: -b 5dx If f = 2, what is the value of b? А.) 2 В.) 4 С.) 8 D.)

A: Given:       ∫1b 54 8x23dx +1 = 2 78

Q: For the function defined as follows, find all values of x and y such that both f, (x.y) = 0 and f, (...

A:   Differentiate partially with respect to x and y to get the solution

Q: Find a parameterization for each of the following surfaces: (a) æ² + y² + z² – 4x – 6y = 12 (b) 2x² ...

A: We have to find the parametric representation of the following surfaces: x2+y2+z2-4x-6y=12       → ...

Q: Given a function whose graph is shown below. 3 2- 1+ -6 -2 1 4 8 -1+ -3- -4+ What is lim f (x)? x--5

A:

Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

A:

Q: Given the first-order differential equation as below: (x² +3y² +5)dx +(6xy + 6y + 3)dy = 0 (i) Ident...

A:

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

A: We can find the centroid as below using the required formula.

Q: Find the antiderivative of 5$sinx ln 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin...

A:

Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: Š F(x)dx = 5, f(x)dx = 2, and f(x) dx = -1, find ſ f(x)dx. If %3D а. — 2 b. 2 с. -3 d. 3

A: Topic:- integration

Q: dx 3.

A:

Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

A:

Q: 5. cos -z) dz

A:

Q: Find the slope of the curve at the indicated point. find the equations of the tangent and normal lin...

A: Follow the procedure given below.

Q: ghing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 fee...

A:

Q: To evaluate f dx, the integrand can be transformed to 1-sin?x

A: Follow the procedure given below