1. The figure is a triangular prism . What is the surface area of the figure? A. 84 B.64 C.90 D.78

Q: Find the limit of the sequence an={sin(n)/n}..if it exists.

A: Take limit n tends to infinity for finding the limit.

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not e...

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Q: 2xt - Evaluate detaited Soution

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Q: Evaluate the double integral by first identifying it as the volume of a solid. 5 dA, R = {(x, y) | -...

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: mat ftoydk = hat f(x)dx: 1 Find the 2 a

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Q: Find dy/dx by implicit differentiation. x3 + y6 = 60 dy/dx

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Q: 1 Sketch of the region enclosed by the given curves and find its area: (a) y = cos x, y=cos?x, 0<xSn

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: 3x +8 if c 2 %3D 12 if x = 2 Determine whether f(x) is continuous at r 2. If f(x) is not continuous...

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Q: Determine the function described and then use it to answer the question. The surface area, A, of a s...

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Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + k as adjacent sides. %3D NOTE...

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Q: The integral expression: Ocos20 d0 can be evaluated by parts of the form: | udv= uv · vdu.

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Q: x² +8x – 4 -dx = Inx + aln(x – a) – aln(x + a) + C x³ – 4x 7. x+1 J. x*(x – 1) + blna %3D 8.

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Q: Given Cost and Revenue functions C(q) = q° - 9q +51q + 5000 and R(q) = - 3q + 2600q, what is the min...

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Q: A company produces a special new type of TV. The company has fixed costs of $481,000, and it costs $...

A: Find linear equation using slope intercept form. 

Q: Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west f...

A: Explanation of the answer is as follows

Q: 3x + 9 if r 1 if = 1 10 O Not continuous: lim f(x)+ f(a). O Not continuous: f(1) is undefined. O Not...

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Q: 2. nevig ai (x)tv lo dqsg T 5a. Solve the inequality x2 < 5x - 6. Write the solution in the interval...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: Use the eigenvalue-eigenvector method to solve the initial value problem (2 -7 0\ X = (5 10 4 x, X(0...

A: Given

Q: Objective Knowledge Check Find the focus of the parabola. 2. y´ - 4y+5x+9=0 1D

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Q: Calculate the iterated integral. 5r sin (0) do dr

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Q: function f(x) = 4x +3 is one-to-one. d an equation for f(x). the inverse function. www. ype an expre...

A: Please refer to the image below 

Q: The population of a city in New Hampshire can be modeled by P(t) = 23c.07t thousand persons, where t...

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Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 6 + /540x- 2x2...

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Q: find the average rate of change of the function over the given interval y= 3/x-2 , [4,7]

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Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

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Q: Find the radius of convergence, R, of the series. 00 Σ 4n – 1 n = 1 R = Find the interval, I, of con...

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

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Q: Use the point on the line and the slope of the line to find three additional polnts that the Iine pa...

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Q: 1 Find the 2 Let x be a continuous random variable over [a,b] with probability density function f. T...

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Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

Q: Use L'H rule to find lim (1 – 2x)/*. -

A: Question is solved.

Q: The integral of x²Inx with respect to x is; A -(3lnx+1) +C ® (3lnx – 1) +C © 3lnx – 1) +C 3 D -(Inx ...

A: Product rule of integration : ∫u.v dx = u∫v dx -∫dudx∫vdxdx dlnxdx = 1x ∫xn dx = xn+1n+1 +C In Produ...

Q: V1+x² -dx

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Q: Consider the function f(x)=x^4−98x^2+10,    −6≤x≤15. This function has an absolute minimum value eq...

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Q: For the following exercises, use technology (CAS or calculator) to sketch the parametric equations. ...

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Q: Let the region R be the area enclosed by the function f (x) = x² – 2 and g(x) = 2x – 2.Find the volu...

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Q: 4x + 4 if r 8 36 if r= 8 Is f(x) continuous at z = 8? O Yes • No Cannot Be Determined

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Q: Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p ...

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Q: The amount A of dollars accumulated after t years through an investment of An dollars at an interest...

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Q: which of the following praphs echibit ALL of the listed properties: • im f(a) - -1, • lim () does no...

A: Given query is to find the correct graph for the properties.

Q: Evaluate the integral. 5x³ + 4x? 16 da x4 2x3

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Q: Find the slope and y-intercept (If possble) of the ine. (If an answer Is undefined, enter UNDEFINED....

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Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 8+ 440x - 2x2 ...

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

A: Use ratio test for checking the interval of convergence .

Q: Jennifer attends Atlanta college, where the tuition is computed based on the following: Under 7 cred...

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Q: If f(1) = 12 and f '(x) ≥ 1 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

A: The Mean Value theorem says, If a function is continuous on some closed interval [a,b] and different...

Q: Helen has 14 vases of flowers. Some of the vases contain 3 morning glories. The other vases contain ...

A: Topic = Algebra

Q: Your are driving away from Detroit. Your distance (in miles) away from Detroit x hours after 12:00 n...

A: