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Q: If f is a differentiable function, find an expression for the derivative of each of the following fu...

A: Consider a function f(x) which is differentiable. Find derivative of the following

Q: 1) Find the maximum area of a rectangle ABCD (in the first quadrant) whose the vertex C lies on the ...

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Q: Find the total area bounded by the x-axis and the curve y=f(x) on the indicated interval. Enter your...

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Q: Consider the function f(x) whose second derivative is f"(x)=5x+3sinx if f(0)=2 and f'(0)=2 what is f...

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Q: Can you please tell me if my work isn’t correct? Please show your work for the critical points

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Q: find the general solution of the given differential equation. 10.y′′+y′+4y=2sinhtHint:sinht=(et−e−t)...

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Q: Problem 3: Check by computation that if f(z) = , then lim ZEo+h)-{20) exists for all zo + +i. h→0

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Q: 3. Find the derivative of y = | (12 +1) dt.

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Q: A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just before each table...

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Q: In each problem determine if L’Hospital's Rule applies by indicating the appropriate indeterminate f...

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Q: Evaluate the integral. f(x) dx where f(x) if -3 <xs 0 (3 - x2 if 0<xs2 0 <xs

A: Given integral

Q: Problem 5: Find the image of the Cartesian coordinate grid in the xy-plane under the transformation ...

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Q: A rectangular bin is going to be made with a volume of 646 cm3. The base of the bin will be a square...

A: Given that the base of the bin will be square so, the sides of the base will be same. Suppose the ba...

Q: Below is the graph of y = x2 +5. 20- 15 10- -4 -3 -2 -1 2 The area bounded by y = x2 + 5 and the rax...

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Q: 48. (a) Show that y(x) = Cx* defines a one-parameter fam- ily of differentiable solutions of the dif...

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt ...

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Q: Estimate the area under the graph of f(x)=4 cos(x) from x=0 to x=pie/2 using four approximating rect...

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Q: Find a particular solution of (20) y′′−3y′−4y=2e−t.

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Q: Hi, can you please show me the work and final answer to this problem?Thank you!

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Q: 31 5! sinx?= x?- 12 317 X. 3! ソヤメ Xパ_X16 dx 51 7! 6. 13 1> Y03! 1305t 17.7 Use any method to find th...

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Q: Differentiate the Maclaurin series for 1/(1-2x) twice to find the Maclaurin series of f(x) = 1/(1-2x...

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Q: determine the indicated roots of the given complex number. 11/3

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Q: The percentage P of doctors who prescribe a certain new medicine is P(t)=100(1-e^(-.7t)) How many mo...

A: Given that P=90, we have to find t Plug P(t)=90, then simplify the equation.

Q: Could you help me please, I am not sure where I am making an error and I keep getting 114

A: We integrate it first

Q: Water is being added to a pool at a rate of r(t) = 20-t L/min. How much water is added to the pool b...

A: Given that the rate = (20-t) L/min To find the water that is added to the pool between t=4 hours an...

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals...

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Q: If f(n)(0) = (n + 1)! for n = 0, 1, 2, .. find the Maclaurin series for f. %3D Σ(1 n = 0 Find its ra...

A: For n=0,1,2,3..., we have The Maclaurin series for f is

Q: 6. (a) Find the lengths of the sides of the triangle with the given vertices (-1,0,-2). (-1, 5, 2).(...

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Q: •15 •11 •15 Let ,° f(x)dx = 7, " f(x)dx = 10, Si f(x)dx = 3. 13 Find S" f(x)dx = and S(7f(x) – 10)dx...

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Q: May I have some help with these questions?

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: Problem 11. (1 point) Let f(x) = -x – 7x³ + 2x – 3. Find the open intervals on which f is concave up...

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Q: Find the area of a region bounded by two functions that cross |Question Consider the region bounded ...

A: Concept Used: Suppose two functions f(x) & g(x) on the interval [a,b] Then the area of the bound...

Q: Find the linear approximation to the following functions at the given point a. Then use the linear a...

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Q: Find the radius of convergence, R, of the series. xn + 5 2n! R = Find the interval, I, of convergenc...

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Q: 7) Let f(x) be a function such that f(1) x E [1,6]. Find how small can f (6) possibly be? Explain. 1...

A: We have

Q: Find all zeros. f(r) = x* – 4x3 + 11x² – 14x – 30 %3| (a) 3) Find all possible rational zeros. (b) F...

A: To find all possible zeroes, we will take all factors of p/q, where p represents the constant and q ...

Q: Find the indefinite integral. (Use C for the constant of integration.) - e* dx Need Help? Read It Ta...

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. x³ - 3x2 -9...

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Q: Need Help? Read It Talk to a Tutor -/1 POINTS LARCALCET7 2.4.064. Find the constant a such that the ...

A: Here we have to find the left hand limit and right hand limit. Function must be continuous at x = 0.

Q: You want to construct a cardboard box with a square base and no top with volume 25cm^3 Find the di...

A:

Q: use the method of variation of parameters to find a particular solution of the given differential eq...

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Q: 834 CHAPTER 15 Integration Method 3 Spreadsheet e svod YOUR TURN 1 Repeat Example 1 to approximate i...

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Q: Find the area of a region bounded between a linear function and another function Question Calculate ...

A: We have to subtract the lower function from the upper function and then integrate from 4 to 7 to fin...

Q: 4. Find the general solu tion of the differential equation (2² – 1) dy + 2y = (r+1)2.

A: This is a linear equation and we have to write it in the form of d(y)/dx +Py =Q

Q: Find a power series representation for the function. f(x) arctan Σ f(x) = n = 0 Determine the radius...

A: with the help of other function we can easily find the power series of arctan(x).

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

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Q: y=t^2+4t See question in image

A: (a) For horizontal tangent dy/dt = 0.Find t for dy/dt = 0.Find x from the value of t.

Q: Find To v YOUR TURN 1 Find 8x(4x2 + 8)°dx. 8x(4x² The E Find SOL Method I An e Modifying the Integra...

A: Assume

Q: 4) Consider the ellipse x? – xy + y? = 3. From all points (x, y) of this ellipse, find: 1. the ones ...

A: 1. Note that the smallest and largest value of y occur when dy/dx =0. Taking derivative on both side...

Q: 24.t2y′′−2ty′+2y=4t2,t>0;y1(t)=t

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