Find the scalar equation of the plane that contains a(7,1,3), b(-3,4,0) and c(1,-1,2).

Q: swer the following ston based -2 f f(x) d -2 -1 of's 0 f's 2 214 f(x) dx = [a] -1 -2 f(x) dx = [b]…

A: a)∫-20fxdx

Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

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Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: We are given a differential equation: 7y'+y=0.We have to verify that the given function y=e-x/7 is…

Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: How do I find out why the derivative function in the given graph of (the first photo) is the (second…

A: We have to find the graph of the derivative from the given graph of the function. First let us…

Q: Construct an equation that has an absolute maximum of 5 when graphed. Please show steps.

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Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

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Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² -…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

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Q: Consider the graph of the function f. f(x) -10 -5 Yet 5 5 - 10 5 Use interval notation to determine…

A: As per our company guidelines we are supposed to solve first three subparts only please repost other…

Q: (c) Given equation r²+(2-1)² = 4 in the cylindrical coordinates. (1) Express the equation in…

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Q: Evaluate the integral. 6 (x + 1)(x² + 16) 6 (x + 1)(x² +16) dx -dx=

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Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: Biologists have noticed that the chirping of crickets of a certain species is related to…

A: T=Temperature in degree FahrenheitN=Number of chirps per minute

Q: 3. Solve initial Value Problem f'(x) = x+^ f(1) = 0

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Q: 1 (a - b) In (a − x) (b - x) X *)] = [K₂ t]

A:

Q: 3. Use the Intermediate Value Theorem to show that there is some c in the interval (-1,0) at which…

A: f(-1) = (-1)³ - 3(-1) + 1 = -1 + 3 + 1 = 3.  f(0) = (0)³ - 3(0) + 1 = 0 + 0 + 1 = 1.

Q: 7. Sketch the region and then use the disk/washer method to set up an integral to find the volume of…

A: To sketch the region and then by using the disk/washer method to set up an integral  to find the…

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: Evaluate the double integral cos √√x² + y²dA, where D is the disc with center the origin 。 and…

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Q: Evaluate the definite integral. π/2 x² sin(x) 1 + x8 À -π/2 dx

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (6 cos(t), 6 sin(t), 6…

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

Q: 3. Determine the absolute extreme values for the function Y=3sinx + 4cosx on the interval [0,27]

A: y = 3sin x + 4cos x ,on the interval [0, 2pi]

Q: State the order of the given ordinary differential equation. d²y dx² Determine whether the equation…

A: a) d2ydx2=1+dydx5 b) anxdnydxn+an-1xdn-1ydxn-1+.........+a1xdydx+a0xy=gx

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We have to find the minimum cost and additional cost or saving.

Q: A meteor follows a trajectory r(t) = (8,6,5) +t(7,6, -2) km with t in seconds, near the surface of…

A: A meteor follows a trajectory rt=8,6,5+t7,6,-2

Q: The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is…

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Q: ƒ(x) = x + 1 X

A: fx=x+1x

Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

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Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: r=135 in h=168 in Rate of increase of radius=1.2 in/sec Rate of decrease of height=-2.8 in/sec

Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

Q: d. f(x)= sinsin (2x) coscos (x)

A: To differentiate the following function. fx=sinsin2xcoscosx

Q: What is the largest number that uses each of the seven Roman numerals exactly once?

A: To find the largest number that uses each of the seven Roman numerals exactly once.

Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

Q: 2 Find the curvature of the parabola given by Y = X = = x ² a+ x=2 Sketch the circle of curvature at…

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Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: Solve the differential equation. (t-4) s' +8(t-4) s=t+4, t>4

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Q: 7) Find the area bounded by the line y = x and the parabola x = y² - 2y.

A: We know that the area formula int_a^b {f(y)-g(y)} dy

Q: -∞ x² et³dx.

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Q: Solve the given differential equation by separation of variables. 1 y In(x) dx = (v + ¹)² dy x³ln(x)…

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Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

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Q: Differentiate the following function. Do not simplify f(x)= √sin (cosx)

A: fx=sin2cosx

Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

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Q: The following graph of the function f satisfies lim value of 8 >0 such that the precise definition…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x² In(ax)…

A: We have, ∫ xnlnax , where a ≠0 , n≠-1

Q: (ii) (iii) Find the co-ordinates of the turning points of the following function: y = x³ - 6x² +5…

A: Given the equation, we need to find out the turning points of the curve and also where it has maxima…

Q: f(x) = 8+x 8 - x on [4, 6].

A: