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Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

Q: Evaluate the following indefinite integral. 10 10 11x dx 10 X

A: NOTE: Refresh your page if you can't see any equations. .

Q: 1. Find (sin?) A 2 sin z cos a x* B 2 sin r" coS T* 1²-1 1. C 2 sin r? cos T² r² Inr D 2 sin r*…

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Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: (In x)² dx. use integration I

A: topic - integration by parts

Q: d d. [r1(t) · r2(t)] andr:(t) × r2(t)] first by differentiating dt dt the product directly and then…

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Q: The marginal cost of producing the xth box of CDs is given by 9 – x/(x² + 1)2. The total cost to…

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Q: an onine SOcial group nad 3o0 miion Tme uently, new me m(t) = -3.3t2 + 14t + 230 million members per…

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Q: Admission to a baseball game is $⁢3.50 for general admission and $⁢7.00 for reserved seats. The…

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Q: dx If x2- 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is given by to…

Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: 1/(x^2-5x+6) find the integral using rational fraction

A: SOLUTION-

Q: Let 7(t) = %3D Find a parametric equation of the line tangent to 7(t) at the point (– 321, 234,…

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Q: 2. x² V1-x? dx_

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Q: *00 dl 6. 3. 2. 4. 24 %23 8. & HE OAC = (9 + )4 Answer Let h(x) = Vx + 5. Find the function glven…

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Q: Find the general or particular solution, as indicated, for the following differential equation. dy -…

A: dydx=-0.4 ydyy=-0.4 dxvariable separable;∫ dyy=-0.4∫ dxln y =-0.4 x + ln cy=c e-0.4 x

Q: 17 i

A: Explanation of the answer is as follows

Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: 4y V16+16g Find the divergence of the vector field F(z, 9) i+ V16z + 16g Provide your answer below

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Q: 1 The domain of the function f (x = e VI-2 js O a) [2, 00), or, equivalently, {x > 2}. O b) (2, 00),…

A: Consider the function  f(x)=e1x-2

Q: 15x2 – x3 - 43x - 19 Ax +B C D The integral dx can be rewritten as + dx. (x+1)2(x2-6x+ 13) J ax2+…

A: We need to evaluate integral.

Q: Could the following vector field. F. be conservative F(z,9) = (6z" cos (y), 4y²cos (z)) Select the…

A: Given vector field Fx,y = 6x4 cos(y), 4y3 cos(x)

Q: What is the minimal degree Taylor polynomial about z = 0 that you need to calculate sin(1) to 3…

A: Now, the series of sin (x) is: sin x=x-x33!+x55!-x77!+...sin (1)=1-13!+15!-17!+...

Q: Solve the differential equation. (Use C for the constant of integration.) 4x2 dy dx V2 + x .3 %3D

A: See below the answer and calculation

Q: x2+8z-9 a+6 key values of the function were ADDED together, their SUM total would be: Given the…

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Q: Question A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks…

A: Here we use the similar property of triangle

Q: For the integral, tanx secx dx, if we let u = tan x, what is the re-written form of the integral:…

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Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

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Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

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Q: x+x+1 Use partial fractions. 2x2+2+x3+x

A: The given integral is;  (x2+x+1)/(2x2+2+x3+x).

Q: If these two y's, y1=e^tcos(t) and y2(t)=e^tsin(t) are both solutions to y''+j(t)y'+k(t)y=0, how do…

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Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: Let F = (3y, -32) and let Crepresent the unit circle oriented counterclockwise. Calculate the…

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Q: 100e0.05z thousands of Over the next 5 years, a company projects its continuous flow of revenue to…

A: profit = revenue - cost here  revenue for next 5 year R(x) = 100e0.05x R(5) = 100e0.05(5) R(5) =…

Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. S r xy dy dx dz 0,

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Q: x? V1-x2 dx Use trigonometric substitution

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1,…

A: Distance from a point  (x0,y0,z0)  to the plane ax+by+cz+d=0 is given by    ax0+by0+cz0+da2+b2+c2…

Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: 3 (x + h)³ – a³ lim h0 h

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Q: valuate the following indefinite integral. 4 +u -du u * 4 + u du% = u

A: Given query is to find the integral.

Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: Example 11 Determine the points at which the limacon defined by the polar equation r = 3+2 sin 0 has…

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