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Q: Evaluate the integral. (7x + 2) dx x2 + 4

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Q: Find the future value and interest earned if $8804.54 is invested for 9 years at 7% compounded semia...

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Q: Find dy/dx and d²y/dx?, and find the slope and concavity (if possible) at the given value of the par...

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Q: The area of a certain rectangle is 52 square yards, and its perimeter is 34 yards. Find the dimensio...

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Q: In a matrix of cells, the cell traction force per unit mass is given by T ( n ) = an / 1+ bn 2 , wh...

A: Given that the cell traction force per unit mass is given by Tn=an1+bn2. Here note that n is the num...

Q: Let y = . Find the values of x for which y is increasing most rapidly or decreasing most rapidly. I+...

A: y=91+x2 Differentiating with respect to x, we get dydx=ddx91+x2=9-11+x22·d1+x2dx ∵ddx1x=-1x2=9-11...

Q: Solve #4

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Q: A. SOLVE THE FOLLOWING SYSTEMS as directed: 1. by SUBSTITUTION: y = 2x + 4 ---(1) 3x + y = 9 -(2)

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Q: Calculate the derivative: * So (25 – 71) dt = d dx

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Q: Please show all work. I would like to see where the next steps are coming from.

A: Given: f(x)=∫sin(x)31+t3dt

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or equ...

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Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the par...

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Q: Evaluate the indefinite integral. 12 / (3z)5 + 4(3z)²)((3z)³ + 1)“ dz =

A: Given, ∫(3z)5+4(3z)2(3z)3+112dz

Q: I'm confused How would I convert the rectangular equation to polar form? x^2+y^2=16

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Q: Please help me with this problem. Thank you!

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Q: dy dy Use the graph of the equation y =f (x) in the figure below to find the signs of and at the poi...

A: At point A, y' is negative and y'' is also negative.

Q: Sketch the graphs of two distinct functions with the property f′(x)=−x^2+x

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros. 6...

A: Here given as 6 + 5i, 6 − 5i, 2, 4, 6 are roots of a polynomial function then px=x-6+5ix-6-5ix-2x-4x...

Q: Consider the following function. S(x) = { 7x – 1 if xs1 if x >1 Calculate f(x) dx. S(x) dx

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Q: Suppose that a you are the owner of a movie theater. You have to decide the price of a movie ticket....

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Q: Evaluate the given integral. Use c as the constant of integration. e 22xdx

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Q: Solve #7

A: Suppose you need to find the height of a tall building . Standing 20 meter froth the base of the b...

Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the...

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Q: Can you help me solve this problem?

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Q: I need help solving absolute maximum value and local maximum values.

A: Given, The graph of the function We have to find the absolute maximum and local maximum

Q: Solve the inequality x2< x + 12 and graph the solution set on a real number line. Express the sol...

A: Given, x2<x+2

Q: What is the average value of f (x) = /16 – x² over the interval 0 <x< 4? Round your answer to two de...

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Q: Find the paramtric equations for the tangent line to the curve x = t4 - 1, y = t3 + 1, z = t1 at th...

A: To Find: Parametric equations for the tangent line to the curvex=t4-1, y=t3+1, z=t1at the point 15, ...

Q: Let f(x) = ax3 + bx2 +c, where a, b,c € R. The graph of f passes through thepoint (2,9). The graph o...

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Q: Solve the triangle A = 85°, B = 35°, c = 30. Round lengths to the nearest tenth and angle measures t...

A: Given- A=85°,B=35° and c=30 To find- The remaining angles and the remaining sides of the triangle. F...

Q: 15.3 4

A: F(x,y) = yexyi + xexyjF(x,y) = Pi + QjwhereP = yexyQ = xexy∂P∂y = 1+xyexy∂Q∂x = 1+xyexyHence∂P∂y -∂Q...

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector f...

A: To Determine: A net is dipped in a river .determine the flow rate of water across the net if the vel...

Q: 1. Find all the solutions of the equation that are in the interval [0, 2π) and show unit circle. a.)...

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Q: Find the derivative of the function. h(t) = 8 ln(t3)

A: The given function is ht=8 lnt3. Obtain the derivative as follows.

Q: Evaluate the indefinite integral. cos v33t dt = V33t

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Q: Verify that the Mean Value Theorem can be applied to the function (image), Then find the exact value...

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Q: which imagines is the equation

A: Given, fx=1+x gx=1+12x

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What would be ...

A: A town has a population of 5000 persons and expected growth is 2% every year. (i) To find population...

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to...

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Q: (1 + x)y' + y = 0

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Q: Solve for x

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