r-3 = 3coso -6

Q: (2x+ y)dx- 3(2x+ y+4)dy 0

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Q: Use the formula £{t" f(t)} (s) = ( – 1)" – (L{f}(s)) to help determine the following the…

A: We will use formula for derivative of u/v and given formula to solve as follows

Q: A particle moves vertically (in inches) along the yoxis according to the position equation s(t)=> -…

A: We are given position equation of a particle moving vertically (in inches) along y-axis : s(t) =…

Q: In the differential equation 4(3x+ y– 2)dx– (3x+ y)dy = 0, we let the substitution dw=

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Q: 30. For a certain continuous function f, the right Riemann sum approximation of f(x) dx with n…

A: The right Riemann sum approximations of ∫02f(x)dx with n subintervals of equal length is…

Q: The following figure shows the graphs of y = f(æ) and y = g(x), together with the %3D indicated…

A: Given problem:-

Q: Find the average value of f(x) = 4-x2 on the interval [2,3] Find the area enclosed by f(x) = -x2+4x…

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Q: 12vt dt (1+ t3/2)2

A: Given integral I=∫1412t( 1+t32 )2   dt

Q: -5 -4 -3 -2 -1 1 2 5 -2 -3+ What is the least possible degree of the polynomial graphed above? 3.

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y2…

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Q: Find the area of the region enclosed by y = 4x and z = 6 – y. %3D %D 4 +2 Use horizontal strips to…

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Q: 2. Find the most general anti-derivative of each of the following functions: a) f(x) = sin(x) b)…

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Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.

Q: 4 n+ 2 is divergent. n=1 1+6n Select one: O True O False

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Q: C. Given that log, 2 = 0.693, log, 3 1.099, and log, 5 1.609, find each of the following, if…

A: Given that,  logb2≈0.693, logb3≈1.099, logb5≈1.609 We need to find the value of each of the below…

Q: 4. A particle moves in a straight line and has acceleration given by a(t) Its initial velocity is…

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Q: 13.Using integration by substitution in f'æ° (x® – 2)*dæ ,what is du? O A (26 – 2)³ dx (xº – 2)dr…

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

Q: 1 Show that f(x) =7(1+x) - 5/4 is a probability density function on [0, o); then find the indicated…

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Q: (2x + y)dx– 3(2x+ y+4)dy = 0

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given problem:- Find the domain of the vector-valued function. (Enter your answer using interval…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: This is a question related to vector. Based on the general formula of plane we will solve.

Q: Consider the following optimization problem. Maximize P = xyz with x + y = 36 and y + z = 36, and x,…

A: We have to find P(y), P'(y) and maximize P.

Q: (e) Compute y' if y2 = xe + ye-

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 5. In the differential equation (1+3xsin ykdx-x cos ydy = 0, we let the substitution %3D

A: Follow the procedure given below.

Q: pien x = p sin p cos 0, y = p sin p sin 0, z = p cos p д(х, у, 2) a(p, 8, 4)

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Q: Find the equation of the tangent line (assuming it exists) to f(x) = x² + x at x = -2. Give your…

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Q: The function defined by x2 if r 0 is continuous at a = 0. Determine the left- and right-hand…

A: We have to check our function is differentiable at x=0 or not

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) 12x…

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Q: Solve the following problems completely and accurately. Solving Differential Equations (1) Find the…

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Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0 <x < 6, about the…

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Q: Select the words from the drop-down menu that best describe the soenario given in the question…

A: Given, A graph of f(x) in xy plane.

Q: У(у - 9) dy у3 — 216 6.

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Q: Verify that the trigonometric equation is an identity. cot a cs a =tan a + sec a csc a %3D sin a + 1…

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Q: Below is a sketch of the graph of J.

A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

Q: Find f'(-2) for f(x) x² +1

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Q: At the beginning of an experiment, a scientist has 400 grams of radioactive goo. After 75 minutes,…

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Q: solution

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Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: 4. S Vx(x² + 2) dx

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.…

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Q: 4. S V4x –1 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

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Q: 10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential dy equation…

A: If G(x) is the antiderivative of g(x), an integrable function. Then ∫g(x)dx=G(x)+C, C is a constant.…

Q: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

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Q: x <0 2r3 + 3r2 – 12x, x 0 10xe", f(r) = a. Find all the critical numbers of f. b. Find the extreme…

A: a)  For x&lt;0    Consider f'(x)=0  ⇒10(ex+xex)=0  ⇒10ex(1+x)=0  ⇒1+x=0  ⇒x=-1For x≥0Consider…

Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3