Find an equation of the plane with the given characteristics. The plane passes through the point (14, -12, 7) and contains the line given by y - 4 = Z. %3D -1

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

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Q: Determine whether the plane passes through each point. x + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes...

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Q: What is the integral from 0 to 1 of the function f(x) = x? (Hint: think about areas)

A: Given function, f(x) =  x

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Follow step 2nd . 

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Q: Vrite an integral that is equivalent to æf (x²) dx. a = b = f(u) du submit Answer

A: Given query is to write equivalent integral.

Q: Consider the region below f(x) = (8 – x), above the x-axis, and between x = 0 and x = 8. Let x; be t...

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Q: Calculate p(2x + 6y) dx dy, where Dis the shaded region in the figure. x+ 2y - 10 6. 10 *+ 2y - 6 Hi...

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Q: nge value of the piecewise function f define- -2 to x = 4. Express your answer in simp 6x for x < 3

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Q: ou purchase 50 light sabers for 18 dollars and plan to sell them at the yard sale for 87 cents each....

A: Let's find. 

Q: y csc 3y? cot 3y² dy

A: Given problem:- ∫ y csc(3y2) cot(3y2) dy

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Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

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Q: Consider the function 9(x) = (3x + 5)*2 %3D Which of the following expressions would we use to deter...

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Q: S 2xln(1+ x)dx

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

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Q: Let f(x) = (x - 3)-2. Find all values of c in (1, 7) such that f(7) - f(1) = f'(c)(7 - 1). (Enter yo...

A: Mean Value Theorem : Suppose f(x) is a function that satisfy the following properties :1. f(x) is co...

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A: Given query is to find the area of the sector.

Q: cos? t sin t dt

A: Here we have to integrate the given integral.

Q: 15) o veclovs ú = Givetw and Tñ=211 deternine the projection d on 2.

A: This question can be solved using the projection formula.

Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

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Q: , if x + -1 -2, if x = -1 Prove that f(x) = {x+1 is continuous at a = -1 by showing the following. i...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

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Q: 7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutio...

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: The plane that contains the point (3, –1, –4) and the line with equation = y – 1 = 3z is orthogonal ...

A: Let:x-02=y-11=z-013=kL: x=2k, y=k+1,  z=k3P1:(3, -1, -4)Put k=0, k=1P2: (0, 1, 0)P3: (2, 2, 13)Vecto...

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your answe...

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Q: Find the derivative of the function at Po in the direction of A. f(x,у) - 4хy + 3у?, Po(-1,1), А-D6і...

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Q: 24. y = x, y = 2x/(1 + x'); about x = -1 26. x? - y? = 7, x= 4; about y = 5

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Q: っ (6xt- 2x+4シュ)

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: Answer is given below. C option is correct  

Q: For the given cost function C(x) 36100 + 700x + x², First, find the average cost function. Use it to...

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Q: What is the x-coordinate of the critical point of the function y = (x + 2)^1/3.

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Q: 3The bell tower of the cathedral in Pisa. Italy. leans 5.6 from the verticalA tourist stands 105 met...

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Q: Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly fro...

A: Given query is to find indicated angle.

Q: -2 +5

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Q: 4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home t...

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: cos s 40 d0

A: Let's find. 

Q: Determine whether the planes are parallel or identical. -5x + 3y - 8z = 5 15x – 9y + 24z = 14 %3D O ...

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Q: Consider the Venn Diagram below. A В 49 35 17 37 n(A) = n(AU B)

A: We will draw the vein diagram for each part.

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: A tank has 150o liters of water in it at time t = 0 hours. Water begins to be pumped into the tank a...

A: Explained below 

Q: sec? 31 di

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Q: A right circular cylinder has a fixed height of 4m. Find the rate of change of its volume V with res...

A: Let h and r denote the hieght and radius of base of the cylinder.1

Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, -2) and the vector component of v orth...

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Q: plane passes through each X + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes O No

A: Given query is to find plane passes through the point or not.

Q: - 3 dx xll

A: topic - indefinite integral