5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the ground, as shown below. The foot of the ladder is moving away at a rate of 2 m/s. How fast is the top of the ladder sliding down at the instant the foot of the ladder is 4 metres away from the foot of the wall? gound ladder wall

Q: (x – 2)y' + y = e“, y(3) = e³ +1

A:

Q: Зх -5 dx (x+1) (x+2)²

A:

Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.

Q: 12 dx х3 — Зх2

A:

Q: Find the area of the

A:

Q: Find f, and f and evaluate each at the given point. F(X, v) = arctan). (2, -2) f,x, y) = %3D X, v) =…

A:

Q: QUESTION 2 Find an equation of the tangent to the curve at the point by first eliminating the…

A:

Q: 21) Canvert tue rectengu ler equetion to poler forms. C 1ll- yt 1020 a) ra 20 coso り ne b 10 フ 2…

A: The given equation is: 11x-y+10=0   As we know that; The polar coordinates; x=rcosθ, y=rsinθ

Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

A:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as…

A:

Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 5. Enter the exact answer. L =

A: Given problem:-

Q: Find exactly T(t) and N() for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct answer.)…

A:

Q: A particle is moving in a straight line according to the position function s(t) = t³ – 6r² +9t + 5,…

A: Given: s(t)=t3-6t2+9t+5,t≥0 d)After breaking once the velocity of the particle becomes zero.i.e. v=0…

Q: Evaluate the double integral over the rectangular region R. 4xy dA; R = {(x, y): – 1 < x < 1, – 6 <…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 6) y' = 2x-3y+4 x+y+2

A: Differential equation

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 4 1 lim t→+∞ \ 3t2 +4' 2t (13, 0)

A:

Q: Exercises: Find the derivatives of: 1. 1-y = (secx + tanx)(secx- tanx) 2- y = x2.cotx- x2 4. 1+cscx…

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x12 from (0, 0) to (4, 8) 528/5

A:

Q: Determine whether the improper integral diverges or converges. In x xp O converges O diverges…

A:

Q: d d Calculate ri(t) - r2(t)] and ri(t) × r2(t)] first by differentiati dt' the product directly and…

A: We have to find out

Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: et +e-* find the length of the curve h(x) = from x = 0 to x = In 2. 2

A:

Q: Evaluate the improper iterated integral. x2 dy dx 1 + y2

A: Given: I=∫03∫0∞ x21+y2dydx As we know that; ∫11+x2dx=tan-1x+C And ∫a·fxdx=a·∫fxdx, where a is…

Q: 5: A party planner is trying to hang a sign between a house and a palm tree for someone's birthday…

A:

Q: 1. The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3yt = 0. a) Calculate the value of…

A:

Q: Answer as directed. 1. it is convergent, evaluate it. Determine whether the improper integral is…

A:

Q: Find V. (F x G), if F(x, y, z) = 3.xi +j+ 6yk and G(x, y, z) = xi + yj – zk. V· (F x G)

A:

Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

A:

Q: Find the limit V1+t4 dt lim

A:

Q: Current Attempt in Progress Find the domain of r(t) and the value of r(to). NOTE: Round your answer…

A:

Q: Answers a) A=7In(so)

A:

Q: Determine

A: Given,             limx→1x2-4x+3x2-x

Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: 27 10

A:

Q: S) Ffnd the nolyme of the Solid generatedd by revoluing the region boundeed by the graphs of the…

A:

Q: Determine whether the improper integral diverges or converges. -6x dx O converges O diverges…

A: This is a problem related to indefinite integral. Based on the general formula and concept we will…

Q: Sketch the region R and evaluate the iterated integral (x, у) dA. - 2x + 8y) dy dx y y 2.0- 2.0- 1.5…

A: In this question, Firstly, we sketch the region and after that find iterated integral.

Q: 291 pind the lengty of tue cerve over the ginernineval a) 1o ) so 20 e) 40 d)s 11/12

A:

Q: Verify Green's Theorem by evaluating both integrals dA Əx ay, or the given path. C: boundary of the…

A:

Q: Directions: Compute f'(3) for each of the following function. Then connect item A to item B by using…

A: We have to find the value of f'(3).

Q: A. Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

A:

Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: Given problem:- Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in…

Q: 4 1 T/2 Зл/2 -1 -2 -3 -4 -5 The graph of the function f(x) = cot x is given above for the interval a…

A: From the graph of f(x)=cot x, we have to find its asymptotes

Q: FIND THE INTEGRAL OF YOUR ANSWERS IN 2a and 2b  Note: My answer on 2a and 2b will be found on the…

A: This is a problem related to integral of the function. Based on the general formula we will answer…

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A:

Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: Here,  a→(t)=3t i^+6 sin(t)j^+cos(2t)k^⇒v→(t)=∫3t i^+6 sin(t)j^+cos(2t)k^dt⇒v→(t)=3t22 i^+6…

Q: V(PQ),V (PR), and V(PS) are 1. Find the volume of the parallelepiped PQRS if the vectors…

A: Solution of 1st question.

Q: at the point functron fts

A: The detailed solution is given below Thank you

Q: 3) Fiad fue area of the reigon bounded by the goaphs of algebraic functioans. tue the +6, g(d) =0,…

A: