Parameterize the line passing through the point (0, 0, 1) that is perpendicular to the plane containing the points (3, 0, -1), (1, 0, -4) and (1, -2, 1).

Q: Solve for x: 4 = 50 x = You may enter the exact value or round to 4 decimal places.

A: Given,

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A: given vectors

Q: ts) Graph the following function f(x) = (-x if x < -2 x² if-2 ≤ x < 2 (3 if x ≥ 2

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Q: In an object was thrown upward at 64 ft/s from a height of 20 feet, its height h after t seconds is…

A: (A) To calculate the average velocity between 1 and 2 seconds, you can use the formula for average…

Q: Find the absolute maximum and absolute minimum values off on the given interval. F(x)=In(x2 + 3x +…

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Q: 1. Find the parametric equations for the line through (1.4,0) and perpendicular to both i+j and j+k.…

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Q: Problem 1: For the two vectors A = x -2ŷ - 2 and B = 2x + y − 32, find (a) A- B, (b (A - B). (A +…

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Q: 1. Calculate the difference quotient, simplify your final answer. f(x+h)-f(x) h for the function f…

A: Answer is in step 2.

Q: Find the value(s) of k such that the function is continuous at x = -1. (Enter your answers Sin (2x +…

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Q: (W) On January 1, 2023, the market capitalization of Firm A was 5 billion dollars, and it increases…

A: Given:Initial capitalization, A(0) = $5 billionRate = 20% Time taken = 5 yearsSince, the…

Q: Match the description of the activity in the answer bank to the day component where it occurs.

A: Here's how the activities match the day components:

Q: According to one cosmological theory, there were equal amounts of the two uranium isotopes 235U and…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e7x + e-x (a) Find the…

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Q: = Find the volume of the solid generated when the region enclosed by y x = 1 and x = 3 is revolved…

A: Volume of solid obtained by revolving about y axis is given by Given function

Q: Test the series below for convergence using the root test. 2n 10n + 4 The limit of the root test…

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Q: 6543 24 jy op 8 9 10 11 1 The graph above shows the base of an object. Compute the exact value of…

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Q: 3b b-2√4b+1-1 a) lim b) lim x-0 x²+16-4 x²

A: given limit

Q: 9-11. Let F(x) = f(x) + g(x), G(x) = f(x) - g(x), and H(x) = 3f(x) + 2g(x), where the graphs of f…

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

Q: Consider the function R(t) as representing the value of an ounce of palladium in U.S. dollars as a…

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Q: Consider f(x) = x² - 49 |x - 7 X 6.9 6.99 6.999 f(x) Looking at the values, we can estimate that…

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Q: 78-81. Derivatives from a graph Let F = f + g and G = 3f - g, where the graphs of f and g are shown…

A: The derivative of a function at a point is given by the value of the slope of the graph of a…

Q: Q2: A particle move on the path has parabola shape with equationf(x) = a + bx + cx²; Find the…

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Q: 1. Evaluate the integrals by using the integration by parts. (b) f(lnx)³ dx (a) [x² cos x dx (c) S x…

A: Here we need to use Integration by parts for those integration solutions.

Q: -10 O the function. f(x) = x2 - 4x -5 15 10 5 -51 -10 -15 5 10 X -10 15 10 1 5 -5 -10 -15 -5 10 X…

A: (a) To graph the function .(b) To determine the interval(s) for which .

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: The infrastructure needs of a region (for example, the number of miles of electrical cable, the…

A: The number of gas stations is proportional to the population raised to power of 0.77.a) Writes a…

Q: For each of the table of values below, determine if the function represented is even, odd or…

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Q: Can you explain how I can find the area of y=1/x^3/2, x=4, the x-axis to the right, and y=x^-4/3, x…

A: Region is bounded by y=1x3/2,y=1x4/3,x=4,x=8

Q: Find the average value have of the function h on the given interval. In(u) u have = h(u) = [1, 5]

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Q: Find the distance (d) from the point (-4,-1,6) to the plane 2x-3y-4z=17.

A: point (-4,-1,6) and plane 2x-3y-4z=17.

Q: Create a table of values for the function and use the result to estimate the limit. Use a graphing…

A: Given that a limit problem and we solve this problem by using general property of limit.

Q: Example 3 Video Example < Find equations of the tangent line and normal line to the curve y=x√x at…

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

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Q: Find the average value of the function f(x) = 1 + x² on the interval [−1, 2]!

A: Given function To find: Average value of the function over the interval [-1,2]

Q: f  f(x) + x2[f(x)]4 = 18 and f(1) = 2,  find  f '(1).

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Q: Determine the symmetries (if any) of the graph of the given relation. 5y = 4x² - 7 *** Choose the…

A: Check symmetry of graph

Q: Find all numbers b such that the average value of f(x) = 3 + 10x - 6x² on the interval [0, b] is…

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Q: Find the derivative of the function. cot² (sin(0)) y = cot

A: Here the given function is , which is function of .

Q: (e) Sex ex cos x dx x³ In x dx (d) (f) [x sec² x dx

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Q: Let f(x) = Determine the following: lim f(x) x →4 Can be found, lim___ƒ(x) = x →4¯ lim x→ 4+ 2 x -…

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Q: Use logarithmic differentiation to find the derivative of the function. y=(√x)** y'(x) =

A: Now we will find the derivative using logarithemic differentation.

Q: Given the function y z²+z+1.5, determine the area under the curve from the y-axis to the point where…

A: Given Function

Q: Find the derivative of the function y = sin ¹(2x + 1)

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Q: Find the derivative of the function. cot² (sin(0)) = y = co -2 cos ec² (sin (0)) cot(sin(0)) cos(0)…

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Q: Find the lim √x+3x²

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Q: Part D. Problem Solving: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact…

A: Solution-Given in 2010, the cost of a compact car averaged $8000, In 2013, the cost of a compact car…

Q: Given the following piecewise function, evaluate f(0), f(-1), and f(4): x 3 f(x) = 5x if 3 if x² if

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Q: Suppose the function g statisfies - 20x2x² - 46 ≤ g(x) ≤ x² + 10x + 29. We want to use the Squeeze…

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Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = √3x…

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Q: Samies used cars has the cheapest prices in town! At the present time Samie has many cars for sale.…

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