5. A ladder 20 ft long leans against a vertical building. If the top of the ladder slides down at a rate of p 3 ft s, how fast is the bottom of the ladder sliding away from the building when the top of the ladder is 10 ft above the ground?

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A: Topic:- fraction

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A:

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

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Q: 24. An open box is to be made by cutting a square from each corner of a 20-cm-by-32-cm piece of meta...

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A:

Q: Draw a graph that is not continuous and not differentiable

A: Let us take greatest integer function. 

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A:

Q: The table gives the annual rates of growth of a country's population for selected years from 1970 pr...

A: Solution:

Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In sec²(sin...

A:

Q: Evaluate the following limit, if it exists: 15 lim ' sin Note: Write the exact answer not the decima...

A: we want to find the limit limx→∞  x7 sin15x7

Q: 95% c

A: answer of given question is in step 2

Q: (2) Find the value of B (,-)

A:

Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y – z = 4 are orthogonal, parallel, o...

A:

Q: solution

A: We will find a simplified integral. 

Q: 1. Evaluate the integrals and sketch the region of integration. 1) º, S(+y +1)dædy 2) So , 1 sin ydy...

A:

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: By using graphing utility to graph the region bounded by the graphs of the equations. Then to find t...

Q: sec2(tan-ly?) dy tan ( tan -ly?) +C 1+y4 A True B) False

A: The given integral,        ∫y sec2tan-1y2 dy1+y4

Q: -1.5z – 7 if I 2 4- -8 -7 -6 -5 -4 -3 -2 -1, 1 23 4 5 6 7 8 -2 -4- -5- -7 8- Clear All Draw: Note: B...

A: Topic:- function

Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A i...

A: The given question has been solved in detail. 

Q: Estimate the area under the graph of f(x) 1 over the interval [2, 6] using eight approximating x2 + ...

A:

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after th...

A:

Q: f(x) | f'(x) || g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 8 -1 10 11 Assume that f(x) and g(x) are differen...

A: Topic:- function and it's Derivatives

Q: Find f132 if f(y,z,x) =3x2+6xz+yx3

A: Question- Find f132 if f(y,z,x) =3x2+6xz+yx3

Q: A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. ...

A: we know that surface area of sphere is S=4πr2   As per our guideline, we supposed to answer only the...

Q: If g(x) = | sinx dx and g |=3, then g (0) is equal to 2 A -2 B 4 D 2.

A: We can solve this as follows:

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: Assume that x = x(t) and y = y(t). Find dt using the following information. dy x² +y? = 2.92; - 2 wh...

A:

Q: Find the equation of the normal line to the graph of el tan(xy) – In(æ? –- 3y) = sin (Tæ) at the poi...

A:

Q: For each sequence, find a formula for the general term, an. For example, answer n2 if given the sequ...

A:

Q: is r2h + 2/3r

A: answer of given question is in step 2

Q: Sketch the region enclosed by the given curves. y-Vx-2, x- y- 2 y Find the area of the region.

A:

Q: If f (x) = = |e*dx and f (0) =2, then what is f (2)? A) e+2 B В e2+1 e2 D e2-1 E) None

A: Explanation of the answer is as follows

Q: 5. Solve Bessel function Jo: xý+y + xy =0 , yC)=0,7652 yo) = - 0.44 , h-o.5 ( do five iterations)

A:

Q: Round to the nearest tenth of a percent. Use the Approximate Annual Percentage Rate Formula.

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Q: (х-2)* Use the Ratio Test to find the real numbers x for which the series =L k° converges. (Use symb...

A: Given the series is ∑k=1∞ (x-2)kk9

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Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

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A: Mass

Q: dx Evaluate: x2+ 8x + 20 A In (x²+ &r + 20) B None x+ sin -1 2 +C x+4 D tan +C x+4 E -tan +C x+4 F -...

A:

Q: The management of the UNICO department store has decided to enclose an 883 ft2 area outside the buil...

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Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is th...

A:  

Q: 1/8 | x In (8x)dx

A: To find the value of integral substitute 8x=t

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A:

Q: 7.) Find an equation of the tangent plane to the surface, x y(2z-3), at the point P(4,4,2)

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Q: Find all critical numbers of the function f(t) = 2t2/3 + t5/3 and then list them (separated by comma...

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Q: 4. ху" + у' — хInx 3D 0

A:

Q: 2 )" B) None x+4 tan +C 2 x+4 D sin +C 2 x+4 E tan +C 2 2.

A:

Q: To evaluate e"sin (e2^) cos(e2") dx. we let u=e* A True

A:

Q: Use the intermediate value theorem to determine whether the function f(x) = x° + 6x- 8 has a root or...

A: Now to get it is he hard part. You have to start with 1 and 1.5 as borders. If the root lies within ...