0.9 rad

Q: The rational number (22/7) has been used as an approximation to the number ? since the time of Archi...

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Q: Find the solution of the initial value problem (21) y′′−y′+y4=0,y(0)=2,y′(0)=13

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: Find an angle between 0 and 2π that is coterminal with the given angle. 19π 6

A: Given,  

Q: Evaluate the following limit. Use L'Hopital's Rule when it is convient and applicable:   lim -> 0...

A: Apply the limits and check the in-determinant form to apply L-hospital rule.Then simplify.

Q: 6. The average value of a function is defined to be favg = f(x)dx. Find the average value of the fun...

A: Consider the given function.  

Q: Use the properties of logarithms to expand each logarithm as much as possible. Step by step, please....

A: Given 

Q: It asks for the value of the integral, and it says the answer should be 1, but I got -1. Can you ple...

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Q: Convert the given polar equation into an equation in terms of Cartesian coordinates.

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Q: can i get step by step help please

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Q: 1. Use a geometric series to find the sum of the areas of the infinitely many shaded regions. The ra...

A: Important points: 1. Radius of the circle= πR2 2. Radius of semi-circle = (πR2)/2 3. Radius = Diamet...

Q: As indicated by the cart-with-flywheel example discussed in this section, an unbalanced rotating mac...

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Q: х Let g(x) f(t) dt, where f is the function whose graph is shown. У -2 -3+ (a) At what values of x d...

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Q: verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find ...

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x3 – 6x² –...

A: We will find the first derivative using the power rule    

Q: The graph of the function y = f(x) consists of a semicircle and a line segment as shown below. -2- F...

A: We can use the method of using area formulas to calculate definite integrals to solve this problem. ...

Q: Suppose that copper is being projected to be extracted from a certain mine at a rate given by P'(t) ...

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Q: Find the total income for a continuous stream Question An individual has a side line business as an ...

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second ant...

A: Given:  

Q: 1. Four-part question: a. Graph the parametric equation by hand. x =t² +2, y = 4t, -2<t<3 b. Put arr...

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want an...

Q: Enter the appropriate value to answer the question or solve the problem. 6. Set up, but do not evalu...

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Q: We are given that G(x) is an antiderivative of g(x), G(2)=43, and -2 | g(x) dx = 54 -39 What is G(-3...

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Q: Use s4 to estimate the sum of the convergent series

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Q: Radium-221 has a half-life of 30 sec. How long will it take for 83% of a sample to decay?

A: If Ao is initial amount of Radium-221. substance, h is half-life of substance and t is elapsed time....

Q: Please provide me with the solutions to the problem (both parts of the problem). Please show the wor...

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Q: Apply Euler's method with successively smaller step sizes on the interval [0, 2] to verify empirical...

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Q: Find the arc length of of the line segment c(t) = (3+ 4t, –1 – 5t) fromt = 0 to t = 10- O 410. O -10...

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Q: a nonhomogeneous second-order linear equation and a complementary function yc are given. find a part...

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Q: The rectangular coordinates of a point are given. Plot the point. (-5, -5/3) y 10 10 10 10r 5 5 х 10...

A: The point (-5, -5√3) lies in the third quadrant. Refer to the graph below to recall Quadrant Numbers...

Q: Please help

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Q: . (a) Write cos 3x + i sin 3x = e3ix = (cos x + i sin x)³ by Euler's formula, expand, and equate rea...

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Q: For the equation given below, evaluate y at the point (1, 2). ev + 10 – e² = 2x² + 2y². y at (1, 2) ...

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

Q: Find the equations of both of the tangent lines to the ellipse x² + 4y² = 36 that pass through the p...

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Q: Determine the area that is bounded by the graphs of the following equations. (Round your answer to t...

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Q: Differentiate. f(x) = 5x° – 6 cos(x) %D f '(x) %D

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Q: Solve the initial value problem (25) u′′+u=12cost,u(0)=0,u′(0)=0 and plot the graph of the solution...

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Q: Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bou...

A: From  y2 - 3y+x=0 we get x=3y-y2 Then we graph the region using a graphing calculator  Shaded regio...

Q: Find the radian measure of the angle with the given degree measure. Round your answer to three decim...

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Q: Find the average value of the function f on the given interval. Enter your answer in exact form. f(x...

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Q: Find the solution to the initial-value problem. y' = 2xy(1 + 9y), y(0) = -1

A: Given differential equation is 

Q: 6. 6. The functions f and g are integrable and f(x)dx= 6, g(x)dx= 5, and f(x)dx = 4. Evaluate the in...

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Q: Find the formula for an exponential function that passes through the two given points. (0,1000) and ...

A: Suppose that the function is of the form 

Q: Please Help

A: Given

Q: Find the average value of the function f on the given interval. f(x) = 6x + 6x2,    [0, 5] average...

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: Find the general solutions of the differential equations in Prob- lems 5. y" + 6y' + 9y = 0 6. y" + ...

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Q: Use the power series 2 xn, Ix| < 1. Find the series representation of the function and determine its...

A: The trick is to realize that 1/(1 - x)2 is the derivative of 1/(1 - x)

Q: find the derivative of x2-36.

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Q: 34.y′′+3ty′+t2y=0,−∞&lt;t&lt;∞

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Q: find concavity and inflection point?  f(x)=x2 (8-x2)1/2

A: Find the derivative of f(x).