Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the length of the ladder is 6.8 meters and the top is sliding down the wall at a rate of 1.1 m/s. a Calculate dx when h = 1.5. dr (Use decimal notation. Give your answer to three decimal places.) dx dt \h=1.5

Q: 10. Show that the function f(x, y, z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation, = 0

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Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: ind all critical points of the function f(x) 4x2 %3D 5x2-2x+4 Jse symbolic notation and fractions wh...

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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: Express w as a linear combination of u and v: ? = (4,1), ? = (−2, −1), ? = (2, −2)

A: Let w = (4,1) u = (-2,-1) v=(2,-2) we can write this as: u-21 + v2-2 = 41   -2u + 2v = 4 u - 2v = 1 ...

Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: se 1 + where a and bare odd numbers. It is f(r, y) = ra + yb' %3D 0, se r +y = 0 %3D It is correct t...

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Q: b) Suppose that f(x) 1 if x is negative. Can ƒ be continuous at x = 0?

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Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: 137 What is the value of cos-(cos d) where d = 15T radians? If undefined, enter Ø. 2 Provide your an...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Give your answer to one ...

A:

Q: Find the equation of the tangent line on x2 + sin y – ry? = 4 at (2, 0). |

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A 16-foot ladder leans up against the side of a building so that the foot of the ladder is 6 feet fr...

A: topic - inverse trigonometric ratios

Q: b) E(-1)"+1 Vñ Inn n-1

A: The given series is: ∑n=1∞nln n which is an alternating series with bn=(-1)n+1nln n, n≥1  

Q: Find the Taylor series generated by f at x= a. f(x) = 2 X a = 1 Choose the correct answer for the Ta...

A:

Q: The graph of y = \xl, shifted 9 units to the left Oy = |x - 9| O y = |x| + 9 Oy = |x + 9| Oy = Ixl y...

A: If a function is given as y=f(x), then To shift it up wards by k units we use y=f(x)+k To shift it d...

Q: Find and by implicit differentiation for y = sin y – x.

A:

Q: Question Select your answer. 3, Given f(x) : if I< -2 if – 2<a < 8 , estimate -2 I +3, if lim f(x). ...

A: Topic =Limits

Q: A particle is moring along ASit reaches to the point 2,6), the y-cordinate S decrea Sing ata rate of...

A:

Q: 32xdx

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Q: The three series An, EBn, and ECn have terms 1 1 An 1 Cn = Bn n10 n Use the Limit Comparison Test to...

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Q: Suppose that in winter the daytime temperature in a certain office building is to be maintained at 7...

A:

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars) ar...

A:

Q: 1. Find the values of x,4 and z that corvespond to the critical point of the funchion Z="f(x,4)= Sx?...

A: We have to find critical points of f(x,y).

Q: 1. Find lim,→0 k e'

A:

Q: Find the measure of 4x. 599

A: topic -triangles and angles

Q: Find an equation of the tangent line to y = 5 tan(x) at x =

A: Given problem:- Find an equation of the tangent line to y = 5tan(x) at x = π/4 .

Q: Find the volume of the solid obtained by rotating the region below the graph of y = e-2x about the x...

A: Given problem:- Find the volume of the solid obtained by rotating the region below the graph of y = ...

Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

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Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Multiplicities Use the images to determine the multiplicity (or power) for each root: (-1, 0) (0, 0)...

A: Given query is to find the multiplicity of each root of the polynomial from the graph.

Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

A:

Q: If F(x) = f(g(x)), where f(−1) = 5, f '(−1) = 2, f '(−3) = 3, g(−3) = −1, and g'(−3) = 6, fin...

A:

Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,...

A:

Q: 3 cos(cos-1() 10-

A: SOLUTION-

Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential...

A: This question is related to differential equations, we will solve it solve it using given informatio...

Q: Find the initial velocity such that the particle will have the same position at t-4s a. and t- Os. b...

A: Follow the procedure given. 

Q: 1. Identify the degree, end behavior and roots (with multiplicities) of the following polynomials. (...

A:

Q: dw for w = dt xez,x = t2,y = 1– t,z = 1+ 2t. e the Chain Rule to find

A: Given query is to find the derivative using chain rule.

Q: It is possible for la + b| < ]ã|

A: topic- vetors

Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

A:

Q: Use implicit differentiation to find and for x? + 2y2 + 3z2 = 1. əx ду

A:

Q: Calculate the improper integral if it converges, or show that it diverges. 3x4 dx 5 – 1 -

A:

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: Find the equations of the items described below 1. Any line perpendicular to r(t) =t+ 2. The plane ...

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Q: Consider the following function. +] - 2x + 2 3 2 (a) Find y'-f"(x). "(x) = (b) Find the critical val...

A: Topic = Derivative As per guidelines , At  a time only three sub-parts can be answered.

Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

A:

Q: Let R be an equivalence relation on A - {a,b,c,d) such that a Rc and bRd How many distinct equivalen...

A: