The region bounded by the given curve is rotated about the specified axis. Find the volume V of the resulting solid by any method. x² + (y-2)² = 4; about the y-axis V =

Q: Compute the indicated derivative using the chain rule. dy dx dy dx || x = 2 + 3t, y = -4t;

A: Given that by using the chain rule we need to compute the derivative   (dy/ dx)  For x = 2 + 3t…

Q: Please solve value problem. dy alx cos²x sinx your answer function of z. ourswers. the following…

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Q: Compute the indicated derivative using the chain rule. dy x = 1 t/5, y = 9t 1; - dx dy dx -

A:

Q: Question 40

A: We will find the required differenation.

Q: The graph of fis shown below. On what interval is f' an increasing function? 2 Select one: a. (2, ∞)…

A: The graph of the function fx is To evaluate: The interval on which f'x is increasing.

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: dy + dx y (x² – 9) ln x y(2) = 1 = sin 2x

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Q: Consider the following. y = 4x³ - 24x² + 9 (a) Find the critical values of the function. (Enter your…

A: Please see the below picture for detailed solution.

Q: The radius of a spherical balloon is measured to be 7 inches, with a possible error of 0.03 inch.…

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Q: Find the general solution for the differential equation using integrating factor. y' + 7y= 5e⁹x…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: A) The area under the curve y 8 2² from x = 1 to a = t is equal to B) The area under the curve from…

A:

Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: f(x)=7x+2 at (2,4)

Q: 1 Find all points (x, y) on the graph of f(x) = x³-3x² + 10x + 18 with tangent lines parallel to the…

A:

Q: Sketch a graph of the function f(x)= 3x - 6sinx over the interval 0≤x≤2π.

A: f(x)=3x-6 Sinx

Q: Use the indicated x-values on the graph of y = f(x) to find the following. y پیلے X = a b d x Find…

A: We have to find point of inflection from given figure.

Q: Question Using the limit comparison test with a geometric comparison series of 9n determine if the…

A: To find the series convergence or divergence.

Q: Solve the differential equation y' + 4y = 12 using the initial value y(0) = 1. y =

A: To solve the differential equation.

Q: Use graph in the photo to determine: a. open intervals on which the function is increasing if any.…

A:

Q: An airplane is flying in still air with an airspeed of 325 miles per hour. The plane is climbing at…

A:

Q: a) Find the area of the triangle formed by the points A(1, 2, -1), B(5, 9, 0) and C(-6, 0, 3). )…

A: a)  area=27.88 b) angle between vectors = 0 degree

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 1 Inx; x…

A:

Q: pharmacist wants you to record all weights using the metric system. Rounding to the nearest whole…

A: Given query is to convert the lbs to Kilograms.

Q: Letr = (e141-11, e9-9¹, (t + 1)−6). Compute the derivative. (Use symbolic notation and fractions…

A:

Q: A single bacterium divides every 0.5 hour to produce two complete bacteria. If we start with a…

A: After t hours the bacteria bacteria will be At=6000·22t=6000·4t We have to find the value of A'5

Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4x² + y² -…

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Q: 1. Each of the following functions is defined at x = 3 but not differentiable at x = 3. Cleary…

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Q: Find equations of the tangent line and the normal line to the graph of the given function at the…

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Q: Suppose that lim f(x)= 14 and lim g(x)=-10. Find the following limits. X-5 X-5 a. lim [f(x)g(x)] b.…

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Q: Find f'(x). f(x)=3 lnx +5ex - 4x²

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Q: Find c such that f(c) equals the average value of f(x) = 4x - 2 over [-8, -3].

A:

Q: logarithmic diffentitation use IgElcosx) find the derivative C-(₁x² +7x+Sx-³

A:

Q: For what sort of problems are the integration techniques of substitution and integration by parts…

A: Integration by substitution mathod is used when two functions are given in the integrand and one is…

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D = (5/9)t2,…

A: The distance travelled by an aircraft along a runway is given by D = 59t2 The speed at which…

Q: 4. In what direction(s) is the directional derivative of f(x, y) = xy + x² at P(2, 3) equal to 0?

A:

Q: QUESTION 2 One leg of a right triangle is 4 yd longer than the other leg. How long should the…

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Q: large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved.…

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Q: x²y² lim (x,y)-(0,0) x++y*

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Q: 3 3)³√√x² + ³√√y² = 1 x2

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Q: Consider the function. Find g'(x). g'(x) = Find g"(x). g"(x) = Find g"(2) and g" g"(2) •^(½) = =…

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Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given query is to find critical numbers.

Q: Write the equation of the linear function whose graph satisfies the given conditions. Passes through…

A:

Q: If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

A: Area of circle, A=πr2 where r is the radius

Q: ind the equations of the tangents to y = 2x³-16 at the points where the curve touche the x-axis.

A: Topic:- application of derivatives

Q: Find f'(x). 7 f(x) = 6x-5 In x²

A:

Q: Find the 10th derivative of y = cos 2x. ƒ (10) (x) = || Need Help? X

A: We can find the 10th derivative of the function in the below steps.

Q: The graph of a function fis is shown below. 576 5 1 -6-5-4 -3 the -2 Sketch the graph of the…

A: Given graph

Q: limx→∞ -320 +380e 10

A:

Q: A rectangular area is to be enclosed and divided into thirds. The family has $640 to spend for the…

A: We need to find Area.