2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b. The area above the x – axis and below y = 4x - x2 c. The area between y = sin x and the x – axis for 0 < x< n 3. Compute f (x)dx f(x) = { 2x if x <1 4 if x21 4. Find the integral of your answer in problems 2a and 2b.

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

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Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt = ...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: ∫210   6dx/(x-4)2 [-6(x-4)-1 ]102 [-6/(x-4)]102 -6/(10-4) +6/(2-4) -6/6 +6/(-2) -1-3 ∫210   6dx/(x-4...

Q: b) y = -2x2

A:

Q: 13 The polynomial equation x4 - 6x3 + 10x2 + 2x - 15 = 0 has solution set _____. {3 + i, 2 - i, 3,...

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Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

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Q: Find the derivative of the vector function below r(x) = sin²(secx?)i +csc°(Vx² +1] 2 dd fil

A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1j+8tan(x2) k To find: -The derivative of...

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Q: A closed box whose length is twice its width is to have a surface area of 192 square inches. Find th...

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Q: n/4_sec²x a. Jo dx 1-tanx

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Q: An integral expression for the area of the surface generated by rotating the curve X=VV.1sys8about t...

A: here limit of x is from 1 to 2   A=2π∫12f(x)1+f'(x)2dx so here f(x) = y = x3 f'(x) = 3x2 (f'(x))2 = ...

Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the in...

A: Given problem:-

Q: A curve has an equation of y = x - 24x2 +75. Find the point/s of inflection of the curve. О a. (2, 5...

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Q: Match each range of angles with each inverse trig function. acrsin x csc arccos x sec-x cot 1x: arct...

A: Here we will see the correct range of each inverse trig. function,

Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

A:

Q: G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Is G-1 a function and why/why not? Yes, no two ordered pair...

A: Given  G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Therefore G^(-1) = { (0, 1), (3, 2), (-1, 0), (-2, -1...

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

A:

Q: The Maclaurin series for cos(2x) for every x is:

A:

Q: y' = 2aye (5)² 2 y²+y²e(#)¨+2»²e÷) 2 +2x?e(7)

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Q: Graph of f 5. The graph of y = f(x) on the interval 0 < x < 5 is shown above. Which of the following...

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Q: The function has a relative maximum of 16 at x=| 46 (Use a comma to separate answers as needed.) 42 ...

A: Here we see that critical points of f(x) is -2,0,2  

Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...

A: Given query is to find the rate of change of distance.

Q: d) Describe the continuity of this function and make a sketch of the graph.

A:

Q: Find an equation of the normal line (the normal line is perpendicular to the tangent line) to the gr...

A: Slope of the tangent line to the graph y=xx+1 ism=dydx=(x+1)-x(x+1)2substitute x=1m=(1+1)-1(1+1)2=2-...

Q: Let be the function with first derivative g'(x) = Vx3 + x for x > 0. If g(2) = -7, what is the value...

A:

Q: 1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes ...

A: The given that the number of people in attendance is given by: n=240-12p...(1)  where the price of a...

Q: f(x+h)-f(x) determine the derivative/ slope of tangent for = lim h→0 h -1 2x 5a) Using the formula M...

A:

Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

A:

Q: 3. Given the following piecewise function (x² – 4x – 5, x # -3 13 – x, x = -3 f(x) = Determine the v...

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost ...

Q: Let -1 < a < 0 0 < x < 1 1, f(x) = Expand f in a Fourier series. Sketch at least two periods of the ...

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Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

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Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph ...

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Q: Given the below differential equation, solve for the value of y(t) att = 3.8 s. 2.5y" + 11.2y' + 5.4...

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it...

A: Given:    T (surroundings temp)= 20    T0 (initial temp)  = 95   Now      T = 65  dT/dt = 1

Q: 7. Your friend, Jimbo, asks you for help with a homework question about derivatives, The following s...

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Q: people are sharing 6 pies how many do each person get

A: Here we have two people are sharing 6 pies how many do each person get.  

Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a...

A: The cylindrical equation z=r2

Q: A dilation has center​ (0,0). Find the image of the point ​L(−3​,0​) for the scale factor 2. L'=

A:

Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test

Q: c) Find the inputs that generate a horizontal tangent line. x2 y = X-1

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Q: An air traffic controller is monitoring two small planes flying at the same altitude. One is flying ...

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Q: 3. Design a rectangular R.C.C. beam using the following data: Beam span is 30' ft; f, = 60 ksi, f'̟ ...

A: Find your answer below 

Q: 11/4 x  2 2/5 ÷ (11/4 + 21/12)  =

A: Given 11/4 x  2 2/5 ÷ (11/4 + 21/12)

Q: 1 The range of the graph y = sinx - 2 is _____. 2 ≤ y ≤ -2 -3 ≤ y ≤ -1 0 ≤ y ≤ 2 -1 ≤ y ≤ 1

A: We know that, -1 ≤ sinx ≤ 1 for all real x  

Q: - Find the following derivatives. d. In(x2 + 1) dx

A: Given query is to find the derivative of the expression.

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :