Describe in words, what is the answer of an integration question that is given (i.e can you describe integration question in a different way). How do you check ther answer of an integration to make sure it is correct.

Q: 1-4 (a) Determine an appropriate trigonometric substitution. (b) Apply the substitution to transform…

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Q: Find the area of the region bounded by the three lines below. [Hint: You will have to split up the…

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Q: Ejercicios en c Transformación de coordenadas est Ejercicio #1. Resuelva: POO 4,-T, IT 3 T t…

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Q: Evaluate the double integral cos √x² + y²dA, where D is the disc with center the origin and radius…

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Q: The population Pof a city is modeled by the exponential growth model, P(t) = 12,500e0.03, where t…

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Q: Solar Power More and more businesses and homeowners are installing solar panels on their roofs to…

A: Given that ,

Q: Using the separation of variables technique, solve the following differential equation with the…

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Q: Let f be defined as follows. x² - 2x y = f(x) = x² (a) Find the average rate of change of y with…

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Q: Find an equation of the tangent line y(x) of r(t) = (tº, t²) at the point t = 1 (Use symbolic…

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Q: lim Problem.6. Evaluate 8118 work. (x+2)(2x-6) (x-3)(5x+1) . Show all

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Q: e function. (Enter your answer using interval -x²

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Q: Let r(t) = (1²,1-1,4t). Calculate the derivative of r(t) a(t) at t = 5 assuming that a(5) = (5,-8,6)…

A: r(t)=<t2,1-t, 4t>a(5)=<5,-8,6>a'(5)=<8,8,3>

Q: A puppy weighs 2.0 pounds at birth and 3.5 pounds two months later. If the weight of the puppy…

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Q: Find a fundamental x²(10 x²+x+5)y" set of Frobenius solutions of the differential equation + x(48 x²…

A: To find a fundamental set of Frobenius solutions for the given differential equation, we'll assume a…

Q: Use variation of parameters to solve the initial value problem

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Q: 1-56 Evaluate the integral. 1. f sin³x cos²x dx 3. f/2 cos³x sin³x dx 5. sin³ (21) cos² (21) dt S 7.…

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Q: An object is moving along a horizontal path shown in the graph. 5+ 4 3 2 -N 1 نان -2 -3+ تنط 4 -5 Y…

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Q: the midpoint of line segment with end points (-1,6,2) and (3, 2, -4) What is the distance between B…

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Q: Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series…

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Q: C) Find the area of triangle PQR. Give your answer in the form k√17 where k is an integer.

A: We have point Q(1,0,6) and R(17,4,-22). From part a , P(11,-5,-4).

Q: Let D be the triangle in the xy plane with vertices at (-2, 1), (1, 0), and (3, 4). Describe the…

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Q: The following table gives some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find…

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Q: y=x² y=2-x

A: Given y=x^2 and y=2-xThen calculate derivative for above functions

Q: On a high school campus of 1,500 students, one student spreads a rumor about a high school prank.…

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Q: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17…

A: The total number of jurors is 17.

Q: A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff…

A: S(t)= 16t2Where S(t)= distance from top of cliff at time t(in seconds)

Q: x² - 1 x-1 dx

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Q: 9. Determine the solution to the following system: x-y +z = 10 2x + 3y - 2z = -21 2 1 1 1 2x + 5y +…

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Q: Evaluate the integral. √(-8si + 53²j + 2k) ds = a(t)i + b(1)j + c(t)k (Use symbolic notation and…

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Q: Use the definition of the derivative to find g'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2

A: Let a function f( x ) then according to the definition of derivative Given function

Q: a. Find a power series representation for x4 1+x5° b. Using your answer in (a), find a power series…

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Q: d²y If y= 2 f(g(x)), then dr²

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Q: 9. ↑ w In w dw 11. f (x² + 2x) cos x dx 13. fcos ¹x dx 15. ft²ln t di In 17. St csc²t dt 19. (In x)²…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use cylindrical coordinates to calculate SSSw f(x, y, z) dV for the given function and region: f(x,…

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Q: (a) ff f(x, y) da R dA = ["f" } ³² f(x, y) dy dx

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Q: Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a straight…

A: The distance is .We have to find the average velocity over the interval for .Use the result to find…

Q: 10x²-6x-8 x²(3x+2) Evaluate: ¹ dx

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Q: Evaluate the following integral by first converting to polar coordinates. Z 2 −2 Z 2 − √ 4−x2 cos(x…

A: x is varying from -2 to 2y is varying from - to 2The region is a circle which lies only in first two…

Q: 55. h(x) = f*cos(1²) di

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Q: Ejercicio #2. Resuelva: PO中 TC 0. T 5

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Q: QUESTION 1 One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified…

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Q: metric functions. Simplify where po- or cos .x.

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Q: To test the series is the case with all series of this type.) According to the P-test: 1 diverges…

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Q: Which of the following will not give the instantaneous rate of change of f(x) with respect to x when…

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Q: 4. Find the limits. Show your side work. (a) lim x 2 3 x-3- X - (b) lim cotx HIT+

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Q: Let f be the function defined by the equation below. f(x) = 6 + 6√√/7-x Find the following. f(-2) =…

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Q: y = e²x + 5 (In 3, 14) (In 27,0) x Figure 1 Figure 1 shows the curve y = e²x + 5 and line I which…

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Q: The volume of the solid obtained by revolving the region enclosed by the ellipse x² +9y2 =! =9 about…

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Q: (c) Hence compute x6(log x)5 dx.

A: From part a we have results