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Q: 13

A: To Determine: Graph it

Q: Evaluate the following integral

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Q: Higher and Implicit Differentiation

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Q: 6. Betty and Bob Bee Farm have been told that the rate of increase of the bee population is 300VE + ...

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Q: 1. Sand being dumped from a funnel forms a conical pile whose height is always onethird the diamete...

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Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x> - 1 means f(x) is concave up on both sides of x=-1

Q: Find the average rate of change for the function over the given interval. y= square root of 2x betw...

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Q: Let f(1) = 2 and f' (1) = 3. Suppose g(x) = [f(x)5*]. Calculate g' (1).

A: We use ln on both sides

Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer...

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Q: In Exercises 21-24, find the areas of the surfaces generated by revolv- ing the curves about the giv...

A: Hi!. You have posted multiple questions in a single request. As per our honor code, we will only be ...

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the functi...

A: f(x) = 2x4 - 144x2 + 4 f'(x) = 8x3 - 288x = 8x(x2 - 36) = 8x(x - 6)(x + 6)

Q: How do I solve this?

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Q: given F(2)=3, F'(2)=4, F(4)= 1, F'(4)=5 and G(1) =3, G'(1)=4, G(4) =2, G'(4) =7, find each of ...

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Q: Find the area of the inner loop of the lima¸con r = √3 − 2cos θ. r= (square root of 3) - 2cos θ.

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Q: 3.) Which of the following equations is the equation of normal to the ellipse 9y² + 4x² = 25 at (2, ...

A: Given the equation of an ellipse:

Q: Calculus Question

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: how can i answer this?

A: Integration of f(x) on the interval [6,9] is given by:

Q: If m(v) =ln(sin^2(v)+1), find m'(v)

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Q: how can i answer this?

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Q: Find the standard form of the equation of the ellipse with the given characteristics. У х -1 (2, –2)...

A: Center is the midpoint of the vertices (0,-3) and (4,-3) Center = (h,k)= (2,-3)

Q: Find the arc length of the cardioid r = 3−3 cos θ.

A: The equation of cardioid is r = 3 – 3cos theta. The arc length of the cardioid is:

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

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Q: cln5 18) Simplify S e 2x-3dx In2

A: To Determine: Simplify the given integral

Q: How do I do this?

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Q: Higher and Implicit Differentiation

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Q: solve over the interval [0,360). round the solution to the nearest degree. 3 sin^2 theta - sin theta...

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Q: What is the equation of normal to the ellipse 9y^2 + 4x^2 = 25 at (2,-1) ?

A: Slope of normal is -dx/dy So we differentiate both sides with respect to x Then we plug x=2 and y=...

Q: Consider f(x) = x6/5. Is f(x) differentiable at x=0? Is f(x) continuous at x=0?

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new quest...

Q: Find the arc length of the graph of the function over the indicated interval. x= =cy² + 2)3/2, 0sys2

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Q: An island is 6miles from the nearest point on a straight shoreline, that point is 15 miles from a p...

A: Refer the diagram below. Let BC = x miles.

Q: 6.15 Find the Maclaurin series for f(x) = cos.x. Use the ratio test to show that the interval of con...

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Q: How do I solve this?

A: The given function was increasing before x= -0.25 So the derivative must be positive for that part ...

Q: Find the value of the base b so that the graph of f(x) = log,(x) contains the given point. (1/8, 3) ...

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Q: Evaluate the following limit

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Q: Use the limit process to find the area of the region bounded by y= 3x^2+1 and the vertical line x=0 ...

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Q: Find the domain of f (x, y) = x + Y

A: Given function

Q: Evaluate the integral. 25 х — 4 Vx xp

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Q: show that the given differential equation has a regular singular point at x = 0, and determine two s...

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Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

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Q: Higher and Implicit Differentiation

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Q: Evaluate the limit Limit (1-2/x)3x as x approaches infinity.

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Q: find the solution of the given initial‑value problem. Then plot a graph of the solution.y′′′−y′′+y′−...

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Q: Please help

A: A function f(x) is continuous at x=c if We have to show that is continuous at x=-1.

Q: Please show step-by-step solution to the problem.

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points a...

Q: How do i do this?

A: The growth rate of bacteria = b'(t) We need the maximum growth rate, means we need to maximize b'(t)...

Q: Solve the Laplace transform

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Q: a differential equation is given along with the field or problem area in which it arises. Classify e...

A: Q - 1 It as an ordinary differential equation (ODE) as it has only one independent variable t. Inde...

Q: how can i answer this?

A: From the graph we see that: f(x) is continuous in the closed interval [0,2] f(x) is differentiable ...

Q: Find the area of the region bounded by f(x) =x^3+ 1 and the x-axis on the interval [−1,5] ? Thank yo...

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Q: An island is 6miles from the nearest point on a straight shoreline, that point is 15 miles from a p...

A: Let's try to understand what's going on here> Please see the diagram below: A is the location of ...