What is the angle of elevation of the sun when a 41-ft mast casts a 10 ft shadow?

Q: EXAMPLE 3 Find the area of the playing field described by R: - 2 s x S 2, - 1- V4 - x < y<1 + V4 - x...

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Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the exa...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7メー1 k=1

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Q: Evaluate the integral. Show all your work. 3 (sec' xdx

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Q: 7. Using the rules of differential or integration, find the formula for the sum of the following pow...

A: We will first differentiate the given series that is equal to S(x). Then will take common 2 and canc...

Q: Classify: The weight of a professional boxer.

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Q: Evaluate the integral. Da

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Q: 18. Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1. show solution

A: It represents hyperboloid. 

Q: sec (0) J de 5-sec2(0)

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Q: 1 in sigma notation, the Taylor series for about x = 3 is En =0(-1)"+(x- 3)". x+2 True False

A: This is a problem related to differentiation of the function. By using taylor series concept first w...

Q: In 2 sinh?xdx - In 2

A: I am attaching image so that you understand each and every step.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 1. Which of the following is an ordinary, linear differential equation of order 2? +k?xt = 0 dt dx a...

A: Given :Order : Highest derivative of differential equaltionLinear Equation :d2ydx2+pdydx+q=0

Q: 3. 3, |(a - 1), >-1 The graph of f(r) is shown below. Evaluate lim f(x). y a. The limit does not exi...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: Determine whether the seauence converges or diverges.If it conveges, find the loon 100 l00 + 100 キュ

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Q: In Problems 49-56, find the intervals on which f(x) is increasing and the intervals on which f(x) is...

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Q: 2 сos(6x) — 6 2? — 2 os(6x) – 6 x² sin(5x) – x2 – 5x - | lim x → 0 - -

A: We have to calculate the given limit: limx→02cos6x-6x2-2sin5x-x2-5x

Q: dy If e*cos(y) = e sin(x), show that e*cos(y)-e'cos(x) e*sin(y)+esin(x) %3D dx (a) Using the implici...

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Q: Find the equation of the tangent line on 3xe™v² - ez 2ye at (1,1)

A: Given  3xexy2-ex3=2yex2first we find dydx at point (1,1)  

Q: For the next five questions, consider the following differential equation: (y? + cy°)dx + (5y² – xy+...

A: Given differential equation is y2+xy3 dx + ( 5y2-xy+y3siny) dy =0 Also, given that M is coefficient ...

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 00 1 L K...

A: The given series is sum of 1/[k(k+2)] ,k=1 to infinity.

Q: Question 6 (x² – x + 1 When you evaluate: dx The sum of the coefficient of for any constant n>0 is 1...

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Q: A circle has its center at (3, -2) and is tangent to the line 3x + 4y = 26. Compute for the area of ...

A: We will use the formula for the shortest distance between the line and a point.

Q: Find the solution of the given initial value problem in explicit form. sin(2r) da + cos(5y) dy = 0, ...

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Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

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Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b. ...

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: Determine whether the alternating series converges. k + 1 | 10k + 1 k=1 O The series converges. O Th...

A: In this question we have to find whether the series is convergent or not.

Q: 6. Obtain the differential equation of the family of circle with center on the x-axis ? c. yy" +(y')...

A: we want to find the family of differential equation of circle  with center on x axis 

Q: Activity 2: Determine the equations of the normal at each of the points indicated 1. f(x) = x² + 3x ...

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Q: Find

A: We will find the antiderivative or integration. 

Q: Find the solution of the given initial value problem. ty' + 3y = t – t+ 5, y(1) = 3, t > 0 y =

A: ty' +3y=t2-t+5  

Q: k-1 Since the series can be rewritten in the form )4 it is a geometric series with: k=1 a = r = Give...

A: Expand the series using values of k

Q: z+2 dz I cot (z?+4z-3)

A: ∫z+2cot(z2+4z-3)dzSubstitute u=z2+4z-3→dudz=2z+4→dz=12z+4du=12∫1cot(u)duWe know that cot(x)=cos(x)si...

Q: dx/y-xdy/y^2=0 solve using exact equations (diff eq)

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Q: XY x + Vy² + 1 ) dx dy = 0 - Vy?+1

A: Topic  -  differential equation 

Q: csc (tan 2y-1)cy 5. cos* 2y

A: Given ∫csc2(tan2y-1) dycos22y To evaluate the integral using Trigonometric formula:

Q: B. Describe the intervals wherein the function is continuous. 1. 2. 10 10 8- 8- 6- 4 2 -10 -8 -6 6. ...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 5х — 7 (х — 3)3

A: 5x-7x-33The denominator factors are (x−3)3.   For the repeated factor of (x−3),   the decomposition ...

Q: Suppose the position (in s(t) = -2t2 + 12t for 0 s %3D a). Find the velocity fu stationary, moving t...

A: A) s(t) =-2 t2 + 12tv(t) =dsdt = ddt(-2 t2 + 12t)v(t) = -4 t +12   When the object is stationary, v(...

Q: 25 and sec 0= 24 25 Determine the values of the trigonometric functions of 0, where csc 0= 7 sin 0 =...

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Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: 16. The special integrating factor of y?dx + (3xy + y? -1dy = 0 is: С. у d. y-3 a. e3y b. Зу

A: We have given differential equation  y2dx+(3xy+y2-1)dy=0 dx+3xy+y2-1y2dy=0 dxdy+3xy+y2-1y2=0 dxdy+3x...

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: NOTE: Refresh your page if you can't see any equations. . the sequence starts from n=1 so the nth t...

Q: Find the area of the region bounded by the graphs of the equation y = x and y= x².

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Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

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Q: 1. The formula for finding the arc length of a curve, given in parametric equations, is as follows A...

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Q: diverges. Ifit conveges, find the Determine whethe the seauence converges or 3n an=

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Q: Problem 3. Use the method of Lagrange multipliers to find the indicated еxtremum. You may assuтe the...

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Q: . In the linear differential equation of the form, P. (x)y(n) +Pp-1 (x)yln-) +...+P-1 (x)y' +P, (x)y...

A: Topic:- differential Equations