Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 3 ft/sec away from a lamppost that is 22 ft high. At what rate is the length of his shadow changing when he is 55 ft away from the lamppost? (Do not round your answer)

Q: Q2 a. Solve the nonhomogeneous differential equation: y" -5y" -6y' = 3e2*

A: The given differential equation is : y"'-5y''-6y'=3e2x. Repost the next part. 

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A: We have to solve for given conditions. 

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A:

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A: Given problem:- Consider the function f(x)=12x5 + 60x4 − 100x3 + 7. For this function there are four...

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A: Explanation of the answer is as follows

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A:

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A: see below the answer and explanation

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A: (6) (i) Here your first two examples are right. For the third example do it as:   Assume a three di...

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A: A function is continuous in an interval if there is no break in its graph over that interval and it ...

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A: Given ∫1ex lnx dx To evaluate integral using by parts rule

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A:

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A:

Q: spac characters. * d Compute de y -8 at r =2. y +8

A: Topic:-  derivatives

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A: Given,             ∫3-z2+zdz

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A: We will use simple Integration formulae to solve this Integral.

Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

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A: Topic:- calculus

Q: Use integration by parts to evaluate the integral:

A:

Q: Te* sin( –4x)dx

A: Find your answer below 

Q: Hyp

A: We will find what the graph is called. 

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A: First find the magnitude of the vector then divide that vector with magnitude  to get the unit vecto...

Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the abo...

A:

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

A:

Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

A:

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

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Q: 3. Tignometic Substiuion

A:

Q: DO NOT include spaces in between 10 characters. * Evaluate f'(-2) if ƒ(x) = x* – 5 + x-2 + 4x-4. %3D

A: Solve the function

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Q: Find the arclength of y 2x3/2 on 1 < x < 3

A:

Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

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A: answer of given question is in step 2

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A:

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

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Q: S sin*x cos³ x dx C sin5x sin'x + C 7. sinx sin'x + 5 sin x cos'x + C 7 D sin5x cos'x + C 7. 5

A: We know that ∫xndx=xn+1n+1Also, d(sin(x))dx=cos(x)

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A:

Q: Question 30 Determine the second derivative of 2x³ + y²= 1 – 4 y A 6x ( y + 2)-! - 9xª ( y + 2 ) -3 ...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x about th...

A:

Q: 2. Find when f(x) = x²e* has a horizontal tangent.

A:

Q: Find the equation of the circle shown. -7 -6 -5 -4 -3 -2 -2 -4- -5- of Write equation in standard fo...

A:

Q: For S dx, x = 1+ Vx O x = u^4 O x = u^(1/4) x = u None of the choices ООО О

A: We use those substitution which makes integral easy. Hence, x=u4 This is the required substitution.

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A: Given that:  C is the right triangle.  The triangle is isosceles.  Legs AC=BC=20.   Since it is an i...

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A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

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A: Find your answer below 

Q: If f(x) = 3 cot ' + 4, then find the value of f'(-1) is.

A: