Using trigonometric substitution to evaluate: find x * S dx, √x²+16 x4 O x=4 tang O x=4 sing Ox=4 seco O None of the choices

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: We have to determine limit of given function

Q: 4. Given that '(t) = (6t², 2t + 4) and that (2) = (2, 8), find r(t), where we are assuming that the…

A: We have to find the r(t)

Q: What is the monthly payment on a 20 year, $577,000 mortgage, with an interest rate of 6%, compounded…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

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Q: Solve the D.E. 3 2 y sin ex-³y ros²x de ²

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: A company determines a cost function of C = 6x² - 180x+2000, where is the cost (in dollars) of…

A: Given: We need to find the value of x for which c is having minimizes the cost. So,…

Q: Use the divergence theorem to calculate the surface integral F · dS;that is, calculate the flux of F…

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Q: Find all solutions of the equation in the interval [0, 21). COS +1=0 2x 3 Write your answer in…

A: This is a problem related to trigonometric identity. Based on the given interval and function…

Q: 46. yz = ln(x + z)

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Q: An ecologist is conducting a research project on breeding pheasants in captivity. She first must…

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Q: Let f(x)=x²-x²-1 and Xo = 1. To the nearest three decimal places, find X5 using Newton's method of…

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Q: diverge

A: answer is in next step

Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

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Q: Express the limit as a definite integral on the given interval. * n Χρισ lim Σ -ΔΧ, [1, 8] 0-00…

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Q: Match each of the Maclaurin series with correct function. (-1)22n2n ·Ë (2n)! n=0 2. Σ(-1)", n=0 1 1.…

A: Please see the answer below.

Q: If an arrow is shot straight upward on some moon with a velocity of 12, its height in meters after t…

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Q: tion decomposition...

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Q: Find all solutions to the equation. 4 cos 0 = -sin²0+4 Write your answer in radians in terms of ,…

A: cos2 θ +sin2 θ =1 Cosine function takes value in between -1 and 1.

Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

A: topic - trigonometric ratios sec θ=1cos θ=hypotenuse basecos θ =base hypotenusecot θ=cos θsin…

Q: Remaining "How Did I Do?" Uses: 0/1 Use the fact that: loga (x) = -1.6, loga (y) = 4.2, and loga (2)…

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Q: Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent,…

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Q: Solve the following differential equations of ẻ dx+2(xe - y)dy=0;

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Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

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Q: Kuya Bill is selling 'Bill phones'. If the cost for selling a phones is given by 10000 C(x) = 120x +…

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Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: dy dx +y=e*

A: The standard form of the linear differential equation is; dydx+Py=Q Where, P &amp; Q is the function…

Q: Example 5 Video Example Evaluate the following integrals interpreting each in terms of areas. (a)…

A: [5] (a) The given integral is area under the curve y =√(9-x2) [* y2 =9 - x2 or x2+y2 =9 ] and x -…

Q: 2) Use the graph of f to estimate the following limits. No work needs to be shown for this…

A: To evaluate the limits with the graph.

Q: Solve the equations in Exercises 1-16 by the method of undetermined coefficients. y" 3y 10y = -3

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Q: [₂ 1 = fx dx I = I = x² dx

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Q: A campground owner has 600 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: Given the query is to find maximum area of the field.

Q: In the graph to the right, the equation of the parabola is x = region. (y-4)² and the equation of…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A: Here, we just need the complete square for the factor in the denominator (40-6z-z2)

Q: QUESTION 4 If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the…

A: To find the probability.

Q: ∫sinx sin(cosx) dx

A: ∫sinxsincosxdxLet u=cosx=∫ -sinudu=-∫sinudu=--cosuSubstitute back u=cosx=--coscosx=coscosxAdd a…

Q: Write an arithmetic expression for the function f∘g, and find the value of f∘g(5) Write an…

A: We have to find the function

Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

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Q: > > For the following equation, find one solution graphically and then find the remaining solutions…

A: To find the solutionof the given 3 degree polynomial =0 equation

Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

A: To find  after completing the square  what will be the obtained polynomial.

Q: T 1-2² (a) This is true. (b) This is false. 8. dx = arcsin x + C

A: A detailed solution is given below

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4x²

A: Here , we have given a function  y=4-x^2 Which is an equation of parabola. Now we have to find out…

Q: Find the length of side a. A C 60⁰ B

A: We have to find a

Q: 11. If we are told that the tangent line to the graph of y = f(x) at the point x = 3 is y = -2x + 1…

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Q: Use the given vectors u and v to find the magnitudes of vectors u - v and -2u. u =4i+6j+7k, v = -i…

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d6 = dx6 x

A: We have to find the derivative

Q: 16. f(x, y) = x+y³ + 8x²y

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Q: 7- Differentiate Y= f(g(x)) h³(√x)

A: Given that,     y=fgx4h3x