Area of the polar graph

Q: Find the area of the shaded region 10x) = 8x - 2x - x, g0x) = 0

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Q: Consider the function f(x) on the interval [1, 11]. Find the average or mean slope of the function…

A: Given,  f(x)=1x

Q: -dA dV dp 1. It shows that the behavior of fluid is A From the equation stated, show the formula +…

A: Here we have taken constant acceleration d2sdt2=dVdt To find the value of particular solution s(t)…

Q: 5. Find the critical numbers, and the intervals of increase/decrease for y=ln(4-x) %3D

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Q: /1 5/2 Find the length of the curve r (t) = ( t,4t,25t ) for 0<t <1.

A: Use the parameterization of curve for finding the length of curve .

Q: You remove your pecan pie from the oven and place it on the counter for an hour before serving it.…

A: The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in…

Q: For the function y=JHx +1 + Find: a) The equation of the tang ent liné at X = 2 b) The equation of…

A: Given,            y=4x+1+2xTo find : a The equation of the tangent line at x=2.                b The…

Q: Solve the following differential equation (6х' — у +3)dx + (Зу* — х- 2)dy

A: Here, i am providing the handwritten solution

Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

A: We want to find value of b.

Q: uppose the area of the region betwe =b is 3 square units. Find the area be

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Q: 2 Integrate | 20(5æ – 3)°dæ - – 2

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Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

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Q: | sin³(18x) dx =

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Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

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Q: Use the information provided to write the general conic form equation of each circle

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Q: Find f such that f'(x) = f(4) = 20.

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Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

Q: Find the derivative of y(x) = In (8(In(x))'). (Use symbolic notation and fractions where needed.) dy…

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Q: 9. Use the graph of y = f (x) to answer parts (a) – (f). Where applicable, use interval notation. -2…

A: Solution is given below:

Q: f(x) = 2 – 5x², - 5< x < 1.

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Q: If f(x) = V4x + 1 find f"(2). O 4/27 O 213 None of these O 2/3

A: Topic:- Derivatives

Q: Given the function below f(x) = V-80x + 144 Find the equation of the tangent line to the graph of…

A: Given :

Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

A: We have to choose correct option

Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: Suppose f(x, y)= g(x)h(y), where g and h are continuously differentiable functions of one variable…

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: latch the vector field with its graph. F(x, y) = yi -6 5 5 -5+

A: Given: F(x,y)=yi Find: graph of vector field

Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

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Q: evaluate the region S

A: answer is in next step

Q: Find the area of the region enclosed by the parametric equation x = t3 – 8t y = 6t2

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Q: Find f such that f'(x)= 1(4)= 20.

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Q: If the amount of bacteria in a culture at any time increases at a rate proportional to the amount of…

A: answer is in next step

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: We use the concept of derivatives to find the absolute minimum and absolute Maxima

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given query is to find the maximum profit.

Q: x+2 Solve: x-1-3 <0

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Q: Solve the initial value problem (b) y^ prime +2xy+xy^ 4 =0 ; y(0) = 1

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Q: Solve the initial value problems: y^ prime =6+5y+y^ 2 ; y(0) = 0

A: We need to solve D.E.

Q: Plot the point whose polar coordinates are given. (4, 9/4)

A: The objective of the question is plotting the point in the polar co-ordinates and choose the correct…

Q: Given Rn 2+i- cos ( 2+i , express the limit as n → 0 as a definite integral, that is provide a, b…

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Q: —2х Se-2x sin 3x dx

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Q: 55. At 9 A.M., ship B is 65 miles due east of another ship A. Ship B is then sailing due west at 10…

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Q: n2 series E(-1)"+1- converges or n3 +1 n=1

A: Given

Q: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

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Q: Suppose that f(z, y) = z² – zy + y² – 5z + 5y with z² + y² < 25. 1. Absolute minimum of f(x, y) is…

A: Solve the following

Q: 22 r = 7 sin 0 + 50 cos O

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Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: y = x°y=/2;y(1) = 1 -1/2; y(1) = 1

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Q: 2)Consider the parent function y = x^2. For each function below, describe the transformations which…

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