A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the wall at a rate of 0.25 m/s, at what rate is the angle between the ladder and the ground decreasing when the foot of the ladder is 5 m from the wall? Enter your answer to two decimal places in radians/sec. An example of how to enter your answer is 0.37

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 3 and roots of multiplicity 1…

A: P(x) has a root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of P(x).  P(x) has a root of…

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

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A: topic - indefinite integration

Q: In x2 lim

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A: Solution: ∫-11∫-1-x21-x2 1·dydx

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A: we have to find out

Q: x2 — х +1 dxp х2 + 2х + 2 x2.

A: Topic:- application of integration

Q: 3. Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100…

A: topic- Lowest Common multiple

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Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

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A: topic- slope of the tangent line at given value of x

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A: Solution: B(-x) is the mirror image of B(x) on the y-axis B(-1)=B(1)=3 B(-3)=B(3)=1 B(0)=0

Q: A car starts from rest at time t 0 and accelerates with acceleration a(t) = –0.6t + 4-meters sec^2…

A: Here, a(t)=-0.6t+4⇒v(t)=∫a(t) dt⇒v(t)=∫-0.6t+4dt⇒v(t)=-0.3t2+4t is the velocity function.

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Q: a3z cos(x – 4y) show that a3z 6. For z = дудхду

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Q: Evaluate the following integral: where Q is the region limited by: Q ={F (x,Y, z): 2<x= 3,0 <y<1, -…

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Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

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Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

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Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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Q: 1 (27) Evaluate the integral: IP: (5t + 4)2.7

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Q: Evaluate: de (1-a)

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Q: (24) Evaluate the integral: / Va sin(1+ x/²)dx. (25) Find the equation of the normal line to the…

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Q: Evaluate the integral: 1. Jcsc x (сos? х — 1)dx 2. S(sec2 x + csc² x) cos? x dx 3. S(wew² + w²ew³)…

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Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hopital's Rule. sin(9x) lim 7x…

A: We have to find the limit

Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: 11. y = x + Vx

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Q: What is the period and domain of the function y=tan(x)? A T and{xER|x m 2 (2k+ 1) , k is an integer…

A: The given function y=tanx

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: The amount of chemical that will dissolve in a solution increases exponentially as the temperature…

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Q: Find the Rolle's theorem For the Following function and iFit is truerfindthe Value oF C

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Q: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)&gt;0 ⇒2t-14&gt;0…

Q: An object moves along the polygonal path that connects (0, 0, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1) in…

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Q: Supply the missing integrand and the limits of integration ... CT/2 c2sin e r cos²0 dr de de •x/2…

A: Question- Supply the missing integrand and limit of integration.

Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

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Q: 1+ VT (20) Evaluate the integral: -dx. (01) I 1:6

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Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: x³ + x² - x - 1 lim X→1 X-1

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Q: 14. Write an expression that gives the area under the curve as a limit. Use right endpoints. Curve:…

A: The area under the curve fx=x2 from x=0 to x=1.

Q: x3 dxp (x²+4)7

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Q: 5. Which graph below represents the function f(x) = (x - 2)(x +1)(x + 2)? Explain your answer. Graph…

A: Given function, f(x) = (x-2) (x+1) (x+2) To be found - Graph of function

Q: Which of the following statements involving sigma notation is always true? η η η Α) E (ak bR) = E…

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Q: Write an equation for the polynomial graphed below 5+ 4. 3. -2 -3 y(x) = %3D 2) -2

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

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Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.