Find a plane through the points (3,4,-1), (-6,-7,-1), (8,1,6)

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: nite integrals, where the graph of f is given in the figure. a. f(x) dx b. ff(x) dx d. f1(x) dx c.…

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Q: Find the value of c so that the domain of f(x) = √c - x² will be [-5,5].

A: The function f(x)=c-x2 has the domain -5,5

Q: Solve the initial-value problem. x' + 7x = e-7t x(t) =| X cos(t), x(0) = -1

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Q: Determine whether the given function is even, or odd, or neither. One period is defined for the…

A: Odd function        f(x) = -f(x)     for all xEven function        f(x) = f(x)     for all xIf…

Q: Q1.. Find domain and range for following functions: (2 20 a) y = {1x<0 {² D f(x) + D g(x) = D(f(x) +…

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Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Use derivative of square root of function.

Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

A: Here we have to the differential equation.

Q: Use false position method find the diameter (D) of the pipe which satisfies the follow ation:…

A: answer is in next step

Q: Use Cartesian coordinates to evaluate Jff v² av . D where D is the tetrahedron in the first octant…

A: We need to find the integral , ∭D y2 dV   where D is the tetrahedron in the first octant bounded by…

Q: The toll T charged for driving on a certain stretch of a toll road is $2 except during rush hours…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: Fill in the blank. (Note: The notation x→ c' indicates that x approaches c from the right and x → C…

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Q: b) Find the area between the 2 curves f(x) = x² + 4- 4x and x-axes and border with the two lines = 5…

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Q: B. Solve the following integrals. 1.) ²(x + 1)dydx

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Q: 1 Use technology to help you sketch the graph of each function for 0≤x≤ 2. a y sinx by=2 sinx c y=3…

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Q: Q2) Find the area inside the circle r 1 and outside the cardiod r = 1 - sin(0). r² and y = 1

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Q: 8 What type of association does the following represent: The value of y decreases as x increases A.)…

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Q: Let us recall the following Antiderivati a. f sinx dx = -cos x + C b. f cos x dx = sin x + C C. f…

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

Q: Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain y…

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Q: b) Find the area between the 2 curves f(x) = x² + 4- 4x and x - axes and border with the two lines =…

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Q: ex e2x + 1 S=² dx

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Q: = Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 9 for f(x) = 1+x T2(x) must be of…

A: The given problem is solved below in detail.

Q: 1. J(√sinx+cosx) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 1. The population of a town grows at a rate of r(t) = 300 e0.2t people per year (where t is the time…

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Q: Solve the following differential equation using the fourth-order Range-Cata method and find the…

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Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: B. Solve the following integrals. 2.) fevdxdy

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Q: 1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, -2, 0], simplify or evaluate the…

A: We have to evaluate the following

Q: Watch the video and then solve the problem given below. Click here to watch the video. Find a…

A: -1 as a zero of multiplicity 3, 0 as a zero of multiplicity 1 and 1 as a zero of multiplicity 1.

Q: Find the maclaurin series of the following functions:- 1- e-x 2- 3- sin (3x) 1+x 5- cosh(x) 4-7…

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Q: Evaluate the double integral that will find the volume of a solid bounded by 2=1-2y²-3r² and the ry-…

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Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A: As per bartleby guidelines we only give first question answers.

Q: the tangent plane of the surface [ x^2+y^2+z^2=14] at the point (1,3,2) O 3 x-6y + 4z = 28 2x+6y-4z…

A: Given problem:- the tangent plane of the surface [ x2 +y2+z2=14] at the point (1,3,2)

Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 8. (Use…

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Q: Is it possible to get the area 2 3 between y² = 3x and y = x³, using a. vertical strips b.…

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Q: Evaluate the double integral that will find the volume of a solid inside the paraboloid z = 1 - y² -…

A: Given function z=1-y²/4 -x² And xy plane  Volume V=∬zdydxV=∬1-14y2-x2dydxGIven z=1-1/4y2-x2 and…

Q: 3-Given the points A(4, 7, -2) and B(-2, 1, 6): a) Find AB and express AB in terms of i, j,K.?(..

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Q: 1/0 1,0 -3 -6 Note: Enter 'DNE' if the limit does not exist or is not defined. I

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Q: H.W find the first four terms of the binomial series for the functions:- 1-(1-x)-¹2 2-(1+)-²…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: 5. In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

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Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Here we have to solve this problem by using newtons law of cooling.

Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1], evaluate the following expressions) |uxu +…

A: If you have any doubt feel free to ask.

Q: 8. Scoth 2x In (sinh 2x) dx

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Q: 7. y"+y'+y=0 Ans: y=a*(Ccosx+Csinx) со

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Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Given.

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: Which of the following intervals contains a solution to the equation x³ + 3x = x² +1? O(-1,0) ○ (1,…

A: The given equation,    x3+3x=x2+1

Q: 17 What is the value of the expression 1 ?

A: