Find an equation of the plane through (7, 0, -6) that is perpendicular to the line x − 2 = t, y+3 = 2t, z = −t. Equation:

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A: we need to express the given parametric equations using bracket notation and also i,j and k…

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Q: 3. Find the eigenvalues and cigenspaces, as well as a basis for each eigenspace. (a) [88] 12 3 4 000…

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A: Given :ft=t2-1t2+1    -2, 2

Q: 9. (a) A plane contains the point (1, -2,7), it is parallel to the y-axis and the x-slope is -5.…

A: Please see the below picture for detailed solution.

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: K Find the linearization L(x) of f(x) at x = a. 2 f(x)=√x² +11, a=-5 1 L(x) =

A: according to bartleby guide line we do only first part og multiple questions f(x)=x2+11  ,…

Q: 2 X 1 -2 -1 2 15 14 13 12 11 10 9 Z Find the surface area of the portion of the bowl z = 9+ x² + y²…

A: We have to find the surface area of the portion of the bowl.

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Q: Find an equation of the plane through (– 5, 2, — 6) that is perpendicular to the planes 4x − y + z =…

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Q: Unsecured loans intended for short time periods at very high interest rates are called payday loans,…

A: Given Unsecured loans intended for short time periods at very high interest rates are called payday…

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A: Given that:- D is the region bounded by y=x-12 and x=y2

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Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

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Q: 7. A ship sails South 2 km, then turns West. If it sails at a rate of 10 kph, find the rate at which…

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Q: 5. Determine an equation of a line that lies directly on the plane: answer). 3x+4y+5z-29=0. (Justify…

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Q: 24. The owner of a photocopy store charges 8 cents per copy for the first 100 copies and 5 cents per…

A: Solution below

Q: 9. Use the first 4 non-zero terms of the power series for f(x) = ln (x + 1) to approximate In ()

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Q: Determine, without solving the equation, the interval where the solution is guaranteed to exist for…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  divide both sides by

Q: Order the functions by growth rate. a(x) = 55x c(x) = 6868².65 Select function ✓ Select function…

A: Given   Order the functions by growth rate. a(x)=55x b(x) = 60x2 c(x)= 68682*65 d(x) = 7x!

Q: part d please in the original picture!

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Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

A: Please see the below picture for detailed solution.

Q: You have $300 to spend on a fence. You want to fence in an area that is a rectangle split in two in…

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Q: Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square…

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Q: x 15 and x # 6

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Q: sove Solve the following initial value y' + 3y=e, y (0) = 7

A: Please see the below picture for detailed solution.

Q: The function f has a domain of all real numbers. Its derivative, f'is graphed below. Graph of f' NOT…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

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Q: Assume 5 people originally have the virus and that in early stages the number of people infected is…

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Q: Average Life Span One reason for the increase in human life span over the years has been the…

A: Question - Average Life Span One reason for the increase in human life span over the years has been…

Q: 3. Determine the curvature and radius of curvature of y = 6x-x³ at (1,5). a. 0.18973; 5.2704 b.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Topic: Differential Equations A tank contains 80 gallons of brine with 5kg of salt. Another brine…

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Q: Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theorem…

A: We have to find the values of c.

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Q: Question 7 The direction of maximum increase of f(x,y,z)=x² + y² - 4z at the point (2,-1,1) is O a…

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Q: In A CDE, DE = 14, CE = 9, and m/E = 71°. What is the length of CD? Enter your answer, rounded to…

A: Solving the following problem

Q: Use synthetic division and the Remainder Theorem to evaluate P(c), where The quotient is 5 The…

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Q: The graph off and a tangent line to the graph of f are shown below. Use the graph to answer the…

A: f’(2) = slop of tangent line at x=2 f’(x) = m = (y2 - y1)/(x2 - x1)

Q: 2. The Laplace transform of ƒ is defined by f f(t)e-st dt. -6 F(s) = for Let f(t) = sint, find F(s).…

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Q: Find the point(s) on the line y = 7x + 3 closest to the point (−1, 8).

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Q: Find the area of the region under the curve y = f(x) over the indicated interval. 6 1) 5/2 i f(x): =…

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A: we need to find out the half life time for the given decay equation.

Q: dixy) Solve the system u x-y, v= 3x+3y for x and y in terms of u and v. Then find the value of the…

A: Given that , u=x-y     ......1 and  v=3x+3y       .......2