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Q: Plot the following points, given in polar coordinates. Then find allthe polar coordinates of each po...

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Q: Evaluate the integral

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Q: Use the limit definihon of the that gex)= derivative to show 9(x)= 3 3 has denvahre X+5

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Q: Calculus Question

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Q: Solve this differential equation by choosing one of these methods:separable variablesintegrating fac...

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Q: Find the dereivative of the function Y=x2e-3x How do I use the chain rule for this function. How do ...

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Q: Introduce an appropriate coordinate system and find the center of mass of the planar lamina. (The an...

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Q: A vertical gate in a dam has the shape of an isosceles trapezoid 8 feet across the top and 6 feet ac...

A: The Isosceles Trapezoid ABCD with 8 ft top and 6 ft bottom and top 4 ft from the top is shown in the...

Q: Find &y:3mは や Rirst * = In in the the between the Curve area the line メ=H quadraut

A: We first sketch the region using a graphing calculator

Q: Evaluate the Integral

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Q: Find the surface area of revolution of x=y2 about the y-axis at [0,2]. Graph.

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Q: Given N is a positive integer less than 31, how many values can n take if (n + 1) is a factor of n!?...

A: When n+1 can be factored, such that the numbers are available in n!, then we get the required n valu...

Q: Calculus Question

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Q: Find the polar coordinates, -π ≤ θ < π and r≤ 0, of thefollowing points given in Cartesian coordi...

A:  Cartesian coordinates (0, -3) = (x,y) x = 0 y = -3  the polar coordinates = ?                where ...

Q: A town has population 3000 people at year t = 0. Write a formula for the population, P, in year t if...

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 70x + 0.7x2 − 0.00...

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Q: Find the solution of the following initial value problem. y"(t) = 9t e ', y(0) = 3, y'(0) = 1 y(t) =...

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Q: The population of the United States is predicted to be P(t) = 310e0.0073t  million, where t is the n...

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Q: Let V be the region in the cartesian plane consisting of all points (x, y) satisfying the simultaneo...

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Q: Which polar coordinate pairs label the same point? a. (3, 0) b. (-3, 0) c. (2, 2πp/3) d. (2, 7π/3) e...

A: Consider the point then the corresponding points are given by: For a) (3,0) Corresponding points a...

Q: Find the area of the region. f(x) g(x) x2 + 2x + 1 = 2x + 17 y 25 20 15 10 -8 -6 -4 -2 4 6. LO

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Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a radioactiv...

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Q: Evaluate expression or indicate that the root is not a real number.

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Q: S 4x² 1+x2 3. dx

A: Since you have asked multiple questions in a single request, as per the policy, only first question ...

Q: If a rock is thrown upward on the planet Mars with a velocity of 13 m/s, its height in meters t seco...

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Q: An ornamental light bulb is designed by revolving the graph of y as attached, about the x-axis, wher...

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Q: Simplify complex rational expression.

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Q: Graph the lemniscates. What symmetries do thesecurves have? r2 = 4 cos 2θ

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Q: Evaluate the following integral sin x cos x dx

A: The given integral is It can be written as  

Q: Substitute z(x) = 2 a,x" into z' + xz' +z = x + 9x + 3 and equate the coefficients of like powers of...

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Q: ( ) The region between the graphs of y = x2 and y = 2x is rotated around the line x = = 2. The volum...

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Q: A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his field...

A: a) The given information can be tabulated as follows. Let x be the number of bags of fast grow fert...

Q: B = 9  please help me

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Q: Find the area of the region. y = VX y 5- WebAssign Plot 4 3. 3.

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Q: find the value of the ff:

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Q: Calculus Question

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Q: 14

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Q: evaluate the in! integ ral if u = 16+ ex then e* V T6tex dx = ( Jü cu=(ile %3D

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Q: Find the area of the triangle with vertices P(1,4,-3), Q(0,0,0), and R(2, 4, 1). Enter the exact ans...

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Q: Shell method to find the volume graphs of the equation line x =6

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Q: Draw the region with polar coordinates 1<r<3 and π/4 < θ <π/2.

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Q: Find the indefinite integral.

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Q: 8

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Q: Write the rational expression in simplest form.    x2 − 11x + 24 x2 + 6x − 27   answer: (bl...

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Q: Public health records indicate that t weeks after the outbreak of a certain form of influenza, the n...

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Q: In Exercises 27–58, find the critical points and the intervals on which the function is increasing o...

A: To find the critical points and interval on which the given function is increasing or decreasing. An...

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. ...

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Q: Calculus Question

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.