7. Find the centroid of the region bounded by the semicircle y=√√²-¹ and y=0.

Q: Let f(x) = Evaluate f'(x) at x = 4. ƒ'(4) = 4√x 4x² + 3x 9

A: The objective is to find the derivative of f(x) at x=4.

Q: -1 (A) (B) (C) (D) (E) 3 2 1 -1 -2 1 Using the graph above, evaluate the following limit. lim f(x)…

A: Explanation of the answer is as follows

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A:

Q: "J^² Un= 1 + 1 22 3Q P ++ t na Use 11 -1 1-1 n 12

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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A:

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A: The average rate of change at a point p is same as the slope of the tangent line at the point p.

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A: Given that girder weight is 400lb and height of the building is 90 ft and density of chain is…

Q: 6. A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: We can find the solution as follows

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A:

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Q: The integrating factor to (2y² + 3xy-2y+6x)dx + x(x +2y-1)dy = 0, to make it an exact differential…

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Q: 6. lim f(x) dne, lim_ f(x) = 0 x+1+ x → 1- and f(-1) = -1

A:

Q: Evaluate lim x → 5 x²-3x - 10 x-5 Enter an exact value below.

A: Given;  Limx-5(x2-3x-10) /(x-5).

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A:

Q: If ƒ(x) = (5x + 4)-², Find f'(x). Then f'(x) = Find f¹(1). Then f'(1) =

A:

Q: Please answer it within 30 minutes.I will upvote! Problem: -3x2+4x5+3+x4 , find the maximum number…

A: 4x5+x4-3x2+3. find the maximum number of real zeros.

Q: Consider the series Find formulas for an and bn, where 3" + (-2)" Σ 11" n=1 Σ n=1 an = bn 3" + (-2)"…

A:

Q: could you please work the solution out on paper please?

A: The given integral is cos4x.

Q: a) Graph the following: f(x) = 3(x + 2)²2 10+

A: given  y=3(x+2)2 this is quadratic (x+2)2 and therefore graph is parabalo. vertex of graph (h,k)…

Q: What is the value of csc() if the terminal side of the angle intersects a circle at the point (-8,…

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Q: h'(s) =

A:

Q: How long will it take $5000 to grow to $7500 at a simple rate interest rate of 8% ?

A:

Q: 1. Find the derivative of the given function. (a) f(x) = e(x² - 1) (b) f(x)= = x² +1 x²-1 (c) f(x) =…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Use the Chain Rule to find dw/dt. W = = xeylz, dw dt II x=t7, y = 8-t, z = 7+ 9t K

A: To find the derivative using chain rule

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A: Graph of the function is given, we have to find the given limits.

Q: dz du dz and av when u = In 2, v=x, if

A:

Q: Use the Chain Rule to find the indicated partial derivatives. z = x³ + xy², x= µv³ +w²₁ _y= u + velv…

A: According to question,Given function,z = x3 + xy4,x = uv3 + w4,y = u+vew

Q: Find the solution of the following Differential Equations 1) y'= ky 2) y'=-xy

A: according to bartleby guide line we do only first part of multiple (1)  y'=ky∫1xdx=lnx+c

Q: Q4// Find the distance between (0,1) and the line 6x - 3y = 5.

A:

Q: Find the differential equation of the family of straight lines with slope 1. a. dy=dx c. y' -1=0 b.…

A:

Q: A 50-gal tank initially contains 10 gals of fresh water. At t = 0, a brine solution containing 1 lb…

A: The objective is to find the amount of time required for overflow to occur.

Q: Sketch a graph of ƒ(x) = −2|x +1| + 2. Before sketching the graph, determine where the function has…

A: We have to draw the graph for given Questions.

Q: DETAILS WANEFM7 2.R.036. A company lost $29,000 in the fourth quarter of 2009. However, the…

A: Introduction: For finding the losses and profit we have to use the compound interest formula. Given:…

Q: Find |A| for  a) x-y+z=0 6x+2y=24 6x-2z=10 b) x-y+z=0 4x+2y=8 2y+3z=7

A:

Q: 13元 At what point on the unit circle, does the angle 3 lay? A B C D (售) () (售亭)

A: A detailed solution is given below.

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: (a)  f(x)=x-72x2+x-72

Q: Let f(x) = f'(x)=0 4 8x + 7

A:

Q: M8 ∞ nx n+6 n=0 OA. The interval of convergence is (Type a compound inequality. Simplify your…

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Q: The revenue, in dollars, of a toy shop is modeled using R(x) = 200x - 5x² for x months after its…

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Q: esinx Q2. S dx secx

A: Integrate by substitute method

Q: K Express the integrand as a sum of partial fractions and evaluate the integral. 8x² + 4x +9 S8x²…

A:

Q: The equation y=c₁e²x cos 3x + C₂ e²x sin 3x is a solution of what particular differential equation?…

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Q: Use the Chain Rule to find dz/dt. dt z = x² + y² + xy, x = sin(t), y = 5et = 2 sin(t) cos(t) + 5e…

A:

Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

A:

Q: 6:25 PM 0.5KB/s ← Basic-Calculus-P... 3. lim f(x) = 2, x-2- lim f(x) = -2 and f(2)= 0 x-2+ 5. lim…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Consider the parametric equation What is the length of the curve for 0 = 0 to 0 = /? 12(cos 0 + 0…

A:

Q: B. lim f(x) = x-0+ D. f(0) = F. lim f(x) = x→2+ H. f(2)=

A: Given query is to find indicated limits from the graph.

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Q: S JO e¹4x 4+e7x dx

A: Please see the below picture for detailed solution.