f(x) = 1 X-3

Q: A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at…

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Q: Suppose the solid W in the figure is a cone centered about the positive z-axis with its vertex at…

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Q: Which of the following integrals gives the length of a semicircle of radius 5? ܐܢܘ 5 10 -5 25 - x²…

A: We have given the radius of the circle is 5.Equation of circle is x2+y2=25y=25-x2

Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

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Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: Find the distance between the skew lines: z=8-9t x = 5+7t, y=3+7t, x = 1-t, y = 6, z = 5+8t NOTE:…

A: Solution:  To find the distance between the following skew lines. x=5+7t, y=3+7t,  z=8-9tx=1-t, y=6,…

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 44 SS…

A: To sketch the region of integration, to reverse the order of integration,  and to evaluate the…

Q: A company estimates that it will sell N(t) hair dryers after spending $t thousand on advertising, as…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: An explosion sends two shards of metal to the east and to the north. The northward shard travels at…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: If f(x) = (x + 2) sin (√x + 2), what is the average value of fon the closed interval [0, 6]? A B…

A: Given function: fx=x+2 sinx+2.We have to find the average value of f on the closed interval 0,6.

Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

A: given shaded region is between concentric circles with radius r=8 and r=10. So, it is better to use…

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy = 0 dx

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Q: (a) Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius rate…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: 2 √x (x + 1)² dx =

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Q: Find the inflection points of f(x) = x¹ + 9x³ — 15x² + 15. (

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Q: 1. Find the average value of the function over the given interval and all values of x in the given…

A: The solution is shown below-

Q: The function f has a continuous second derivative, and it satisfies ƒ(−4) = −5, ƒ'(−4) = 3 and…

A: The solution is shown below-

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e−0.4t −…

Q: Given the integral x/6 sin t S s 6 csc t du dt over a region in the tu-plane, sketch the region and…

A: Please see the below picture for detailed solution.

Q: b.) Tim X-8 X x - 8 √6-√x ² 2

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Q: What is the minimum value of f(x) = x^2 - 8 ln x   on the interval [1,5]

A: To determine the minimum value of fx=x2-8 lnx on the interval 1, 5.

Q: Let a = (-3, -5, -2) and 6 = (2, 5, 3). Find a x b. <-5 X, 5 ✔25

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Consider the following planes. -2x + y + z = 2 10x - 5y + 2z = 4 (a) Find the angle between the two…

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Q: Find the distance x = 2 + 6t, y x = 9-t, NOTE: Enter the exact answer. D = [ between the skew lines:…

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Q: Determine algebraically the solution to the system:  x^2 + 2y^2 = 11 3x^2 - 2y^2 = 25

A: Solutions are : (3,1),(3,-1),(-3,1) &amp;(-3,-1) For detail...go through the solution...I have…

Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: for the following question above help me solve f

A: Given : for x&lt;-1f'(x) = ddx(-x+1)=-1for x&gt;-1f'(x)=ddx(-x2+3)=-2x

Q: G(x) = − 1x². +3 H (x) = − 1x² – 7 M (x) = − 1x² + 1/

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Q: A company operates two plants which manufacture the same item and whose total cost functions are…

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Q: Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x)…

A: A critical point of a function is defined as the value of x where the function or the derivative of…

Q: A (в C The graph of f', the derivative of the function f, is shown. Which of the following…

A: We need to choose correct option.

Q: Locate all the critical points of the function f(x,y)=8x−x^2−4xy^2.

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Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: What region R in the xy-plane maximizes the value of (1-2x² - y²) dA? R R is the set of points (x,y)…

A: what region R in the xy-plane maximize the value of given integral.     Here i attached the solution…

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: 4. Find the volume of the solid generated when the area bounded by the curves y=x² and y = x³around…

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Q: Concentration of a Drug in the Bloodstream The concentration (in milligrams per milliliter) of a…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 ≤ x…

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Q: Find the derivate of this function]: a) f(x)= 9x²³+24x² - T F'(x) = b) f(x) = 4x³ + 9x²-9. F'(x) =…

A: (a)  f(x)=9x3+24x2-πd dx(xn)=nxn-1d dx(constant)=0

Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

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Q: Find the volume of the solid enclosed by z = 6, y = 0, y = 16-r², and z + y = 22

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Q: lim 5x³ +16x²-10 12x3+x+28

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Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = = domain X…

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Q: Find all critical points of g(t) t = t = = This critical point is ---Select--- (smaller value)…

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Q: Evaluate the double integral over the given region R. Syx cos x da dA R R: -1sys1, 0≤x≤

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Q: Find the length of the curve y=ln(1-x^2) for 0≤x≤1/8

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