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Q: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

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Q: In a small business, if you invest "x" dollars in labor, and "y" dollars in machinery and equipment,...

A: Here we find the maximum production. 

Q: Find the critical points and the interval on which the given function is increasing or decreasing, a...

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Q: Use logarithmic differentiation to find the derivative of y with respect to the independent variable...

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Q: Find the area bounded by the following curves. y=8-x, y 8x-x, x=0, x=2 The area is

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Q: Uje differential to estimate V32.02 correct to 4 decimai places.

A: Given : 5√(32.02)

Q: -8x® + 8x Let f(x) = Find F(x), where F(x) is the antiderivative of f(x) chat passes through the poi...

A: Finding F(x) by integrating f(x)

Q: O Solve the differential equation y' + y cot x = y* sin x.

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Q: En=1(-1)"+1 tan-1n a.

A: At n -> ∞  The nth term will be    Tn  =  limn→∞-1n+1tan-1n  =  tan-1∞ limn→∞-1n+1 =  π2 limn→∞-1...

Q: A moving truck rental company charges $31.95 to rent a truck, plus $0.77 per mile. Suppose the funct...

A: The given data is: A moving truck rental company charges $31.95 to rent a truck, plus $0.77 per mile...

Q: lim In(14x + 1) csc(2x) A) 0. B) 1. C) 7. D) e. E) 0o.

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Q: valuate the triple integral fff r dV, where E is the region in the first E octant bounded by the par...

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Q: 1. Graph the ellipse. (x-2)° ¸ (y+1)° _ 1 =D1 6. 36 Name the coordinates of the center, endpoints of...

A: Follow step 2 . 

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation...

A: Let's find  

Q: A curve has a vector equation r = ti+ 4 sin(t)j + 4 cos(t)k. Find the curvature, K.

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Q: y“ + 2y' – 3y = 6, y(0) = 0, y'(0) = Soloct thg

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Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should...

A: We will integrate the following. 

Q: A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture...

A: Given:   Length of fencing = 1600

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2 + y? z = x and be...

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Q: y“+ 3y' + 2y = 0; y(0) = 0, y'(0) = 1 %3D Select the correct response: O y = et - e-" O y = e' – " N...

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Q: Consider a particle moving rectilinearly according to x = t3 - 3t2 -45t m, where t is in sec. Draw t...

A: Here is the solution of the given problem.  

Q: Find the area bounded by the following curves. y= 5x, y = 0, x= 3 The area is . (Simplify your answe...

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Q: sin 219x Is there a value of n that will make the following function continuous at x= x+0 f(x) = { x...

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Q: y' + y = sin t; y(7)= 1 Select the correct responoe O None y = " sin t – cos t) (e"-1 – sin t + cos ...

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Q: Sketch the region of integration and evaluate by changing to polar coordinates: 6 • f(æ) 1 dy dæ /x²...

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Q: A cylindrical tank has radius 2m and height 4m. Water is being poured into the tank at the rate of p...

A: Given that, Radius of cylindrical tank (r) = 2 meter Height of cylindrical tank (h) = 4 meter Rate o...

Q: Line Integral of a Conservative Vector Field In Exercises 45 and 46, (a) show that F is conservative...

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Q: Find the length of the curve given by c(t) = (t“, t², tº), for t E [0, 1].

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Q: dy dæ Find for the following implicit function y = sin(x + y)?

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Q: A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture...

A: topic - equations

Q: Solve (2t³ + 3y)dt + (3t + y – 1)dy = 0

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Q: waht is 6 x 2

A: topic - multiplication

Q: Line Integral of a Conservative Vector Field In Exercises 45 and 46, (a) show that F is conservative...

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Q: A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture...

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Q: II. Solve. 2.) Tim invests $1000 into an account in which interest is compounded continuously. If th...

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Q: You invest $4000 in an account with an APR of 3% and daily compounding. How much will you have after...

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Q: Evaluate each expression using the values given in the table. - 3 - 2 - 2 - 1 1 2 f(x) g(x) - 8 - 5 ...

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Q: 30,000 cm2 of material is available to make a box with a square base and an open top, find the large...

A: We have to find the largest possible volume of the box.

Q: Find the linearization L(x, y) of the function f(x, y) = (x^3)(y^6) at the point (-2, -2).

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Q: right angled triangle ABC has sides AB-5, C=3 and CB=4. If the right angle is at C, calc late Sine B

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Q: we're searching seluhons fr y"+5y -o in the oim around Xo oF power series find he reuslrlence relah'...

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Q: se left and right endpoints and the given number of rectangles to find two approximations of the are...

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Q: Part1) Consider the following series. (View Picture Below) Test the series for convergence or diver...

A: Alternate series test: If an alternate series ∑n=n0∞(-1)nbn has the following properties: (i) the se...

Q: Find the indefinite integral given below. 2p (5p – 7) dp Answer: Submit Question

A: Please refer the attached image for complete solution. THANK YOU.

Q: dy 1 3x? 1. %3D xp 1+ X' 1+ X?

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Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0).   smaller ...

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Q: Зx t2-1 dt dx '2x t2+1 d

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Q: An aircraft floor panel is in the form of a rect angle having a length of 24 inches and a wid th of ...

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Q: Find the antiderivative given below. dx

A: Given the integrationI=∫−5x97dx

Q: | Consider the linear system 3 21- у. -4 a. Find the eigenvalues and eigenvectors for the coefficien...

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