If g(x)=-4) - 4x, then g '(x) is equal to which of the following? 2 X g'(x) = -x X O g'(x) = 1/2-4 Og'(x)=x²-4 Og'(x) = x - 4

Q: Question For which value(s) of x does f(x) = 3x - 10 have a tangent line of slope -4? If there is…

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Q: Find the gradient field of the function, g(x,y,z) = e²z - In (2x² + y²). The gradient field is Vg =…

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Q: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

A: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

Q: Find a parametric representation for the part of the cylinder y2 + z2 = 64 that lies between the…

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Q: 3 40 32 24 16 8 4 5 Evaluate the definite integral * 3 6 (4x + 10)dx =

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Q: A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees…

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Q: The air in a room with volume 100 cubic meters initially contains .2% carbon dioxide. Fresher air…

A: The air in a room with a volume of 100 m3Initially contains 2% carbon dioxideFresher air containing…

Q: ag ²g If g(x, y) = ln[x² + (y + 1)²] show that a2 +² = 0 (except at (0,−1)). ar²

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Q: Of the following, which is not a solution to the differential equation y" — 9y=0? A B C D y = 0 y =…

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Q: Suppose a dog jumps in the air and that its height (in feet above the ground is given by h = -16t² +…

A: Given suppose a dog jumps in the air and that its height (in feet) above the ground is given by

Q: Find the following for the vectors v=6i +j and u = 9i + √3j. a. v u, vl. lul b. the cosine of the…

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Q: Find the length of the spiraling polar curve 40 = 4e46 From 0 to 27. r = The length is

A: The given curve .The aim is to find the length of the curve from  to .

Q: As with discrete-time dynamical systems, equilibria can act strange when the slope of the…

A: We have to graph a rate-of-change function that has a slope of 0 at the equilibrium but the…

Q: For Evaluate the following expression. Select the correct answer below: ={ f(x) = 4-x-x² 2x1 lim…

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Q: 2η 3. Σ. 1 n=1 nn

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Q: Let F(x, y) = x³ + y³ − 3x − 12y + 20. Find the critical points of H and classify the kind of local…

A: The given function is .

Q: 32. Assume that f is continuous and S f(t)dt = sinx -x cos.x. (a) Determine f(π). (b) Find f'(x).

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Q: solution is -3/2

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Q: 2- -2- -3 12 B + 45 6 + 7 + 8 9 10 t

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Q: (b) log321 +2/og33 Answer: log3 189 ! No, that's only partially correct

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Q: blem #3: The inverse Laplace transform f(t) = -¹ {F(s)} of the function e-25(6s - 8) F(s) = S² +49…

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Q: Find an equation of the plane passing through (0, - 1,2) that is orthogonal to the planes 3x + 4y -…

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Q: Given that f₁ f(x) da = 7 and fº₁ƒ(x) dx = -2. dx fő 2f (x) dx. evaluate

A: ∫−15f(x)dx=7 and ∫−10f(x)dx=−2Using the definite integral property∫acf(x)dx=∫abf(x)dx+∫bcf(x)dx

Q: (No Technology) Region R is bounded by y=√x, y = 1 and the y-axis. Region S is bounded by y=√√x, x =…

A: We have to use the concept of integration

Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below: O O…

A: The function non differentiable at iffunction is discontinuous at function has sharp/corner point…

Q: T « A-Z O F(x) = -2x² - 5x 08-²+2x² OPx)=x² + 2x³ OF(x)=x²-2x Of(x)=2x²³ - 3x +3 0-³²- Ox)=³-2x³²+x…

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Q: 2. Find the indefinite integrals. (You may want to differentiate to check, but it's not required) a)…

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Q: A calculator is required for the following questions. Questions 12-14 refer to the following…

A: Given that the velocity of a particle moving along a line given by

Q: (1) 2x2 + x- 5y2 = 4 2x2 + x + 5y2 = 4 3x²+1= 4y 12 (2) (3)

A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining sub…

Q: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing…

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Q: 0 4 ४ 20 x2 + 1 +1 dx

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Q: Determine the area of the given region under the curve. 1 y X

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Q: The temperature of a town t months after January can be estimated by the function…

A: The temperature of a town is defined by .The aim is to find the average temperature from month  to…

Q: 35. a(t) 36 g(t) = cos 2t; v(0) = 5; s(0) = 7 2t

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Q: Question Given f (x) below, find f'(x). Do not include "f'(x) =" in your answer. Sorry, that's…

A: We have given a function-We have to find the derivative of the given function.First, let's define…

Q: A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is…

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Q: a) dx dy b) = dx c) = ln(x) ex dy dx = x² + e¹0x = yx³ if y(0) = 4 ifdy |x=1 = e² dx if y(0) = 1

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Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…

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Q: A calculator may be used on the following questions. The base of a solid is bounded by y = tan²x and…

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Q: A retail business owner wants to build two adjacent retail stores on a rectangular plot of land. The…

A: The figure

Q: For which value(s) of x does f(x) = 6x + 11 have a tangent line of slope -2? If there is more than…

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Q: Values of f(x) at selected values of x are shown in the table. X 2.75 2.9 2.99 3.01 3.1 3.25 f(x)…

A: Consider the table

Q: 1 1 Find the area of the surface generated by revolving the curve x = cos (4t), y = 2 + ¯sin (4t) on…

A: x=14cos⁡(4t),y=2+14sin⁡(4t) on 0≤t≤π4 about the x-axis. ddxsin⁡(ax)=acos⁡(ax)ddxcos⁡(ax)=−asin⁡(ax)

Q: Region R is bounded by the graphs of y=e2x + 1, y = 0, x = 0, andx = 2

A: Region R is bounded by the graphs of y=e2x+1,y=0,x=0, and x=2

Q: Let S be the solid that lies between the paraboloid z = x² + y² and the sphere x² + y² +z² = 2. (a)…

A: Given that  S is the solid that lies between the paraboloid and the sphere The graph of solid

Q: A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the…

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Q: (a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: The length of the polar curve r = f(θ), θ varies from a to b is given byL = ∫a b √((f(θ))2 + (…

Q: Question Beginning 156 miles directly east of the city of Uniontown, a truck travels due south. If…

A: The objective of this question is to find the rate of change of the distance between Uniontown and…

Q: Let F (8yz)i + (9xz)j + (9xy)k. Compute the following: = A. div F = B. curl F - C. div curl F= i+j+…

A: F=(8yz) i+(9xz) j+(9xy) k