8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is slipping away from the building at a rate of 20-ft/min. Find the rate at which the top of the ladder is siding down the building at the instant the bottom of the ladder is 10-ft from the base of the building.

Q: Question 5 Consider the exact first order diff. equ: M(x, y) = 2.xy –3x? N(x, y) = x² - 2y (I):…

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Q: Apply

A: We will solve the integration.

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Q: у? — 4у — 21 Зу2 — 17у — 28 imy→7

A: Given query is to find the limit of the expression.

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A: A detailed solution is given below.

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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Q: Let g(z) = / ft) dt, where f is the function whose graph is shown below. What is the value of g (8)?…

A: We have to find value of g(8)

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Q: 9) use the snell metnod to sef up end eveluete tueinteyrel tret gives the volume of the solid…

A: Using shell method, volume is evaluated.

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

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Q: Determine if the following function is continuous or discontinuous at x = 0? 4z +5 f(2) = %3D 9- 32

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Q: Find curl (8z i + 9x j + 8y k). curl(8z i+ 9x j + 8y k) = ( i )i + ( i j + ( )k

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Q: dx 9- x 15.

A: Topic = Integration As per guidelines , At  a time only one question can be answered out of…

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Q: Find (a) the critical numbers of f (if any) (b) the open intervals on which the function is…

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Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: 2- A radio station conducts a poll about gun control. It invites listeners to call one phone number…

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Q: Find V · (V × F) if F(x, y, z) = 6 sin xi + 6 cos(6x – 7y)j+ 2zk. | V· (V × F) =

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Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value.

A: Topic = Algebra x=3

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A: Using inverse trigonometric formula achieve this expression

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Q: Find the gradient vector field Vf of f. f(x, y, z) = xSye'/z Vf(x, у, 2) %3D

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Q: B. Verify if the relatin O y= xe is a səlution to yl-2y'ty =o. y = eco( 2x) is a solution to…

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Q: 5. Lva – 2r dx 6. 5x+2

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Q: 1. Calculate the following limits (showing all working): log,(n) + 5" n-0o log7(n) + 7" Vn5 + 2 +…

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: 31) Find two sets af poler Coorelinates for tue pornt (0,-4) Jer OLQL2T Auywers's 37 テノ, (16,…

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Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is the last two digits…

A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

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Q: Find V · (V × F), if F(x, y, z) = 3e"*i+3.xe"j – 8ev²k. V ·(V × F)

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Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

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Q: Find curl (8z i + 9x j + 10y k). curl(8z i + 9x j+ 10y k) Di +(i Dj +( )k

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Q: Evaluate the definite integral. i+e'j+t k )dt ell (e-l – 1) + (ell – 1) i – (e-1 – 1) j +, k 11 ell…

A: Given: I=∫01e11t i+e-t j+t kdt   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…