Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = 15x - 21+5 sin (2x)…

A: GIven function:- fx=5x-2+5sin2x

Q: 2x x > 3 y 10

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Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

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Q: f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

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Q: Let F = (1yz)i + (5xz)j + (1xy) k. Compute the following: A. div F = B. curl F = C. div curl F i+ j+…

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Q: 35. Lim x2-1 X1 X-1

A: Given,             limx→1x2-1x-1

Q: f(x)= = √16 − x^2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Evaluate the integral S 10x dx

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A: Given function  f(x)=3if x≤55x − 6if x>5To Find: function value at  f(−6)   = f(0)   =     f(5)…

Q: Make up a geometric series E infinity/ n=1 ar^n-1 that converges to the number 5 for the following…

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Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: EXS- Find the roots of the following eq.: 2¹ - 22²4+4=0 Sol 8-

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Q: Use the Midpoint Formula to estimate the sales of a certain company in 2005, given the sales in 2003…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  year sales (in…

Q: Find T centered at x = 0 for all n for the function f(x) 1+x* (Use symbolic notation and fractions…

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Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: Solution ) when the path is perpendicular to the vector field line integral will be 0 When path is…

Q: List the ordered pairs obtained from the equation, given {-2,-1,0,1,2,3} as the domain. Graph the…

A: Given: y=-2x+2

Q: 1. Solve the following initial value problems: (a) y' - 12 = 0, y(0) = 4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: nd the interval of convergence for the given series. Σ(n+8)!(x+14)" n=0 se symbolic notation and…

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Q: Find the interval of convergence of Σ n=0 (x-7)" n! (Use symbolic notation and fractions where

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Q: In the diagrams below, three points with equally spaced x-coordinates are shown. (0,1) (2,5) mi a.…

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Q: Write an equation for a rat Vertical asym Enclose numerators and de Include a multiplication sign…

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Q: 65. Lim (1+h) ³-1³ ho h

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Q: Use the graph below of a function fto find all integer values of x for which f(x) = 3. Separate…

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Q: Calculate the cross product assuming that = (-2, -8, -2) u x w = (4u − w) × w = (100)

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Q: 1. Find the area of the surface generated by revolving the given curve about the x-a (a) y = 7x,…

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Q: When you use credit card to purchase an item, you are actually making a loan. A constant percent…

A: Given data:- Ghel buy a television with the help of a credit card, the cost of television is,…

Q: 8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s². HOW HIGH ABOVE THE GROUND WILL IT BE AFTER 10…

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Q: 10. Climate The table shows record high and low temperatures for selected states. a. State the…

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Q: When a temperature of a pot in a kiln is 1, 200°F, an artist turns off the heat and leaves the pot…

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Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 f(x) = x² + 4 2) 3)…

A: As per our guideline we are allowed to answer only three subparts of a given problem. So kindly…

Q: -10 -10- 0 -5 5 10

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Q: The cost to print tote bags to sell to faculty and staff is $160 for the printer fee and $4 per bag.…

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Q: If f(x) = 47 +5√x + 13 and g(x) = 2x² + 5, compute the composition (fog)(3). (fog)(3) =

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 5x² – 3x. b) Complete…

A: We have to compute quotient difference in this question.

Q: b) Calculate the following definite integral: [*(√x - 3) dx

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Q: 27. Given that what is equal to? A. -85 16 B. -85 18 C.-5 18 D. E. -72 18 -90 18 -

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Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Solution is given below:

Q: Problem 2 a. If y(t) = x₁(1) * x₂(t) = e^(1+3)u(t+3), find z(t) = x₁(t+4)* x₂(t−5). b. If x₁(1) =…

A: In this question we have to find the values of the functions.

Q: 3 TT The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

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Q: 1) Use the graph below to answer the following questions. Y 6 5. 4- 3- 2- MF -8-7-6 5 -3 -2 -1 0 1 2…

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Q: Given 5x -12y-4=0 write an equation of a line through the point (-5,-2) and perpendicular to the…

A: Given that equation of line is 5x-12y-4=0To find: equation of line  which is passes through -5,-2and…

Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)), and f(f(x)). f(x) = x³; g(x) = 4x -…

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Q: The cost to print tote bags to sell to faculty and staff is $160 for the printer fee and $4 per bag.…

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Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: A] Are these functions? 1. {(2,3), (-3,4), (-3,5)} 2. ((-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. À…

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Q: 4. < y:5

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