ladder 12 feet long is leaning against the wall of a house. The base of the ladder is pushed towards me wall at a rate of 2 feet per second. How fast is the top of the ladder moving up the wall, when he base of the ladder is 8 feet from the wall?

Q: 10. The national debt of a South American country t years from now is predicted to be D(t): 65 +9t3…

A: Topic- Application of derivatives We are given, Predicted nationl debt of a South American country t…

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Q: 1. y=√√3x²-5x+

A: Given: y=3x2-5x+1

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A: Find an equation of the line containing the given points. Use function notation to write the…

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Q: Find the derivative of the function. f(v) = (v−3 + 3v−2)3

A: to find out the derivative of the given function.

Q: f(x) is graphed below. Find each value. 10+ 9 8 7 6+ 5 4 3 2 10-9-8-7 -6 -5 -4 -3 -2 -1 lim 2-6 lim…

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Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 3x+18, y=x

A: Here is the solution:

Q: If f(x) ƒ'(x) = f'(5) = = tan x sec x 2

A: Topic- Derivative of a function  Note: As per bartleby guidelines, we are supposed to answer only…

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: Find the areas between curves. Question 1: There are two functions: (1) x = y³ (2) x = y² The…

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Q: Question 6 Given: y = (16+¹) Z -61² (16+74) 3 √16+t¹ 23 (16+) O (E) None of the choices -21² (16+¹)…

A: Solve for the dy/dt

Q: K Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 4-x, x…

A: Limit of a function exist at a point c when left hand limit equal to right hand limit equals to f(c)…

Q: os ¹(-)) 2 Find the exact value of the expression tan cos tan (cos -¹( - )) - COS (Type an exact…

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Q: The hyperbolic tangent and secant are defined as sinh tanha cosh a 1 cosh a sech a Find the…

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Q: Calculate the first, second, and third derivatives of 11 41 + x (Use symbolic notation and fractions…

A: To calcylate the first, second, and third derivatives of yx=1141+x

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Explanation of the answer is as follows

Q: (a) Evaluate (5) ex 1+e2x dx

A:

Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: 14.5y² + y-6 15. 2r-r-3 16. 3m² + 7m + 2 17.3y² + 14y +8 18. 8v² + 13v - 6

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: Calculate y" and y". 8ex X y(x) = y" (x) = y"" (x) = [

A:

Q: total cost (in dollars) of producing xx golf clubs per day is given by the formula…

A: Given query is to find marginal cost function and marginal cost at level of 55.

Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: JL=28 KL=5x+6 JK=3x+6 Find KL

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Q: 2. Find the Inverse Laplace Transform of the following: b. L-¹{2+15+13)

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Q: K|3 0 sin(3x) cos(x) Integrate By Parts

A: Solved using the given formula

Q: Find the derivative of f(x) = 6x³ - 9x + 4.

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Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

Q: 8⑧1+S 1+ (+)+ +8

A:

Q: 12x2 +2 (+x)dx

A:

Q: 2 Find the exact area of the region bounded by the curves y = 4x² - 8x+12 and y=3x²-3x+12. Answer in…

A: The region is bounded by the curves y=4x2-8x+12 and y=3x2-3x+12 We have to area of the region…

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

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Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: Using the four-step procedure in finding the derivative of O O -6 (√2x+2Ax+1)(√2+1)…

A: Topic = Derivative

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given.…

A: Given:    Equation of the given curve is    y=x3-x22+5x+1 On differentiating with respect to x…

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A: If y is given as a function of x, then the volume of solid obtained by rotating the portion of the…

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Q: LET 9 (3)=4₁ g (3)=-1 FIND H (3) For H(X) = xg(x) 5x-6 FUNCTION

A: solution is given below..

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Q: Find all values of 8 >0 such that |-2|< 6 ⇒4r-8 <3 Your answer should be in interval notation. Make…

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Q: 4. Let In = f cos" xdx. Show that: In = 1 - Cos' n on-1 x sin x + n-¹ In-2, n ≥2. n

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Q: Solve the problem. Find an equation for the least squares line representing weight, in pounds, as a…

A: Solution: We can directly use here Excel for regression, Step1) Enter data in Excel.

Q: K Find lim h-0 f(x+h)-f(x) h f(x) = -8x-7, x=2 The lim f(x+h)-f(x) h for the given function and…

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Q: (x⁹ + x4)dx (x5 - 5)1⁰ s

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Q: 2. Find dx/dy if y = √√1+√x 1 -4√√1+√x Option 3 1 4√√√1+√ Option 1 4√x√√1+√x Option 4 -4√√√1+√x…

A: Solve for the dx/dy

Q: Compute the given integral. 1 x² + 36 Add Work -dx = Submit Question +C

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Q: Sketch the graph of of an example of function f(x) that has these conditions: lim f(x) = x-2+ =10…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 50. y=- 52. y=- 2-3x 5…

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