18 -19) In which of the following intervals is f(x) = continuous ? A) -3

Q: 00 Does the series (-1)n+15+n" 5 converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

A: Given: y=12x-11, y=x & x=0   So, From the given curves the bounded region is as shown below;…

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Q: Without using a calculator, compute the sine and cosine of by using the reference angle. 6. radians.…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: 8. Evaluate the integral by using trigonometric substitution 4x-x2

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Q: Given that the acceleration vector is a(t)= the initial velocity is v(0)=, and the initial position…

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Q: Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out,…

A: We have to find the rate of change of Area.

Q: Evaluate dydx. О а. 3/4ln4 ОБ. 3/2In2 O. 2/3ln3 O d. 5/6ln6

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

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Q: The function g (x) is defined as follows: 2x - k 16x - 21 2x Xs 1 1 3 9(x) = a) Find the value of k…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2) Use Green's Theorem to compute f F. df where F=(3x +4y) i + 2xyj and C is the triangular path…

A: Use green's theorem

Q: ! Consider the nonhomogeneous DE: y" + y' – 6y = (12 – 16x)e*. - A) Verify that y, = 4xe* is a…

A: The given differential equation is y''+y'-6y =12-16xex. At first we have to verify yp=4xex is a…

Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x² + 23x

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Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

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Q: If m s f(x) s M for a s x s b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent…

A: f(x)=ax2+bx+climit definition of derivative states that :f'(x) =limh→0f(x+h)-f(x)hf'(x) =limh→0…

Q: Solve the pic using integration by parts. Do not use other method. Show the complete solution and do…

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Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

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Q: f(x) = b (for some 1 b > 0) at any point on the curve The distance between the r-intercept of the…

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Q: |xsin 5xcos 3xdx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 4 8 Suppose the sequence {b1, b2, b3, ...} is given by {-1, , 9' 27 Which, if any, of the following…

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Q: Given the differential equation y' = x2 + y? Take the Implicit Derivative of this function 2 times…

A: Given, the differential equation                                    y'=x2+y2 then take the implicit…

Q: rapidly at Po, Then find the derivatives of the functions in these directions f(x, y) = x²y + e" sin…

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Q: Liaed the Residuesof fucation coske)

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Q: finite difference du n. = 0 en 0 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0<x <…

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Q: 7. Use integration by parts to prove that for any positive integer n, п - 1 Scos | cos"x dx = 1…

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Q: Evaluate the integral. 4 f(x) : 16 – x2 if -4 < x < 0 0 < x < 4 f(x) dx where if

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Q: A surveyor in a helicopter is determining the width of an island, as shown in the figure. (Round…

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Q: Starting in a specific year (t = 0), the amount of oil consumed by a small country increases at a…

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Q: After a new firm starts in business, it finds that its rate of profits (in hundreds of dollars per…

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Q: Find the area of the region enclosed by the inner loop of the limaçon r = 11+ 22 cos 0. [Hint: r < 0…

A: To find the area of the region enclosed by the inner loop limacon. Given r=11+22cos (theta)

Q: Use the function f and the given real number a to find (f ) (a). (Hìnt: See Example 5. If an answer…

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Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: */3 csc³ rdx 7/6

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Q: sin lim-0 h z cos () a. ㅠ COS b. 플Cos() c. T sin ) d. e. 1 f. None

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Q: fi at nd laplace: {e}

A: Use the formula for the Laplace Transform for the given function.

Q: Use the graph of the function to answer the each question 1. limr-0-f(x) = 5- 2. lim,o+ f(x) = 4 3.…

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Q: Find f if f'(x)=2cosx+3x^2 +5/1+x^2 and f(0)=-1

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Q: The region D = {(x, y) : 0 < x < 1, 1 < y < x + 1} represents in R?: Select one: O None of them O A…

A: The given region is a

Q: Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 –…

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Q: Evaluate (S(x+ 2y)dy) dx. О а. 5/8 O b. 8/5 Ос 3/16 d. 16/3

A: solution:-∫02∫0xx+2ydydx=∫02xy+2y220xdx=∫02x2+x2dx

Q: The restaurant at the top of the Space Needle in Seattle, Washington, is circular and has a radius…

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Q: You are given the rate of investment dI/dt. Find the capital accumulation over a five-year period by…

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Q: (2) find integrals S tanX dx

A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

Q: Evaluate the definite integral. t1/3 t2/3) dt 3 20

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Q: y A y = f(1) 4. The graph of f(x) is shown in the figure. Let A(x) = Lf(t) dt and F(x) = S* f(t) dt…

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Q: 6. Which of the following is continuous at all points? B) f(x) = **+2x-35 ズ-5 xマ-4x-5 A) f(x) = x-5…

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