dA When the radius 'r'of a circle increases with time t, the rate of change in area dt given by а. dr dt b. 2Tr C. dr dt d. dr dt

Q: Question +8 If f(x) find lim f(x).

A: Solution: The objective is to find the limit value using L'Hospital rule

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Q: At what points on the graph of yx = xy does the tangent line not exist?

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Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or maxi...

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs a...

Q: State the name of the property illustrated. -8(3 + 11) = -24 + (-88)

A: The equation is given as, -8(3 + 11) = -24 + (-88). Illustrate the expression , -83+11=-83+-811 The ...

Q: (5x-3x²+7x-3 dx (x²+1)²

A: Given,          ∫5x3-3x2+7x-3x2+12dx

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A: Amplitude:

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A: we have to sketch the ellipse include foci: given equation, 16x2 + 25y2=400

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A: Concept - If a line is passing through points (x1,y1) and x2,y2, then equation of line in point-slop...

Q: If x > 4, then x 2 > 16.

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Q: sin x Find the derivative of y = tan with respect to x, by using the Chain Rule.

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Q: In Exercises 17-26, calculate the derivative indicated.

A: We have to find f'''4 ( third derivative ) of the function: ft=2t2-1 Differentiating the function wi...

Q: A person walking along a dock drags a boat by a 10-meter rope. The boat travels along a path known a...

A: Given:                 y=10 ln10+100-x2x-100-x2   a) Graphing this function:                        

Q: The wind-chill index is modeled by the functionW − 13.12 1 0.6215T 2 11.37v 0.16 1 0.3965Tv 0.16wher...

A: Let W denotes the apparent temperature, T denotes the actual temperature and v denotes the wind spee...

Q: A particle is moving with the given data. Find theposition of the particle.   v(t)  =Sint -Cost ,s(0...

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Q: Graph: 4x - 2y≥ 8.

A: GRAPH 4x - 2y≥ 8

Q: Directional

A: The function is  fx, y, z=z-gx, y=z-100e-x2+3y2701 Obtain the gradient: fx=-100e-x2+3y2701·-2x701=20...

Q: Next semester you are planning to take three courses—math, English, andhumanities. Based on time blo...

A: The fundamental counting principle: The number of ways in which a series of successive thing can occ...

Q: A plane is flying at a speed of 320 miles per hour on a bearing of N70°E. Its ground speed is 370 mi...

A: The diagram for the speed of the wind , ground speed of plane in vector form is shown,

Q: S (6x?y-2x)dydx

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: The domain of the function fx)= sech G-1) is (4,8]. Then k ...

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Q: Iterated integrals Evaluate the following iterated integrals.

A: To evaluate: ∫0π4∫03rsecθdrdθ

Q: The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 12x-0.0...

A: By using derivatives we can calculate 

Q: Factor trinomial, or state that the trinomial is prime: 8x2 + 33x + 4.

A:

Q: Plzz help

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,     

Q: The sum of two numbers is 10 and their product is 24. Find the numbers.let x represent one number an...

A: The sum of two numbers is 10 and their product is 24. Let x represent one number and let y represent...

Q: Solve

A: ddx(excosx)=?

Q: Let f and g be differentiable functions on [a, b], where f(a) = g(a) and f(b) = g(b). Using Rolle’s ...

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Q: How do the whole numbers differ from the natural numbers?

A: Explain How the whole numbers differ from the natural numbers

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Q: Two airplanes leave an airport at the same time on different runways. One flies on a bearing of N66°...

A: Consider the information given the problem, find the distance travelled by the planes using velocity...