For what values of x is f continuous? 0 -{! 8 f(x) = if x is rational if x is irrational

Q: Find the horizontal and vertical asymptotes of the curve. 5x2 + x − 8 x² + x - 12 хх> X || || || X =…

A: Given: y=5x2+x-8x2+x-12   As we know that, To calculate the vertical asymptotes, equate the…

Q: For the position function s(t)= - 16t+111t, complete the following table with the appropriate…

A: Given: s(t)=-16t2+111t Time interval [1,2] [1,1.5] [1,1.1] [1,1.01] [1,1.001] Average…

Q: 1. Rewrite the expression using positive and division. or negative rational exponents instead of…

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Q: (1+Inx) dx +(1+Iny) dy = 0 when y(-2) = -1.

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Q: 7. Describe and sketch the surface in R³ represented by tion x + y = 2.

A: Given: x + y = 2

Q: Find the volume of the solid obtained by rotating the region bounded by about the y-axis. x = 2y², y…

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Q: Find the limits, if they exist, or type DNE for any which do not exist. 1) Along the x-axis: 2)…

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Q: For the position function s(t)= - 16t² + 110t, complete the table shown below with the appropriate…

A: Let's fill the given table and find instantaneous velocity at t=4.

Q: Evaluate the integral ffy dA, where R is the triangle x+y≤ 9, x ≥ 0, y ≥ 0. NOTE: Enter the exact…

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

Q: 5. S 6. S 7. S dx xintx sec²ydy tan ¹5 y (x³-5x)dx VX

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Q: The position of an object moving vertically along a line is given by the function s(t)= -4.9t²…

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Q: 3. Using limits, find an equation of the line tangent to the function g(x): = 4 4 at x = -2.

A: By using limits, to find an equation of the line tangent to the function gx=4x2 at x=-2.

Q: (d) v(t) = 7t (e) y = power function polynomial function of degree 7 polynomial function of degree t…

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Q: Find the rectangular coordinates of the point whose spherical coordinates are giv (a) (3, 3π/2, 0)…

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Q: Find the scalar and vector projections of b onto a. a = (-8, 15), b = (3,5) scalar projection of b…

A: given  a=-8,15b=3,5scalar projection of b onto a is =b→.a→a→vector projection of b onto a is…

Q: Consider the following equations. f(y) = y(6 - y) g(y) = -y

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Q: re in your answers). B) = 1³. √B) = 4) 3) = А A) B || = -D the help (formulas) help (formulas) help…

A: We have to write in x and y terms according to the given information

Q: Level 1: 1. Adele, Beyonce, and Cher live within 15 miles of each other, as shown on the map. Level…

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Q: Evaluate the indefinite integral. | a2ea3 dx + C

A: To evaluate the following indefinite integral. ∫x2ex3 dx

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

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Q: Find the inverse function to y = f(x) x = g(y) = 4-7x 6- 6x 7 - 6x help (formulas)

A: Given y = f( x ) = 4 - 6x 7 - 6x

Q: If we changed the 4 to a 3 in the equation, what would happen to the graph of the derivative? Change…

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Q: The graph of the function h(x) is shown. Find the function values h(4), h(6), and h(7). h(4)= C…

A: h(4) denote when the value of x=4 what is the value of function h(x)

Q: □ 4. Given AABC with a = 4 meters, b = 6 meters and c = 7 meters. Find the measurement of A to the…

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Q: Find the x- and y-intercepts of the given circle. the circle with center (2, -3) and radius 4…

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Q: Find the limits as x→ ∞ and as X →-00. y = f(x) = (3x)(1 + x)²(1 − x)4 lim f(x): x →∞ lim_ f(x) =…

A: Solution: Given that y=f(x)=(3-x)(1+x)2(1-x)4

Q: The revenue and cost functions for a particular product are given below. The cost and revenue are…

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Q: The base of the solid is a square, one of whose sides is the interval [0, 2] along the the x-axis.…

A: volume = length×width×height given  f(x)=5x2given base of solid is square and one of whose side is…

Q: If we changed the 6 to a 4 in the equation, what would happen to the graph of the derivative? Change…

A: Topic = Function

Q: The function f(x) changes value when x changes from xo to xo + dx. f(x) = 2x³ - 2x, x = 1, dx = 0.1…

A: We need to find approximation.

Q: In 2013, a certain company's annual revenue was 74 billion dollars and growing at the rate of 3.4x +…

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Q: Change from rectangular to spherical coordinates. (a) (0, -√3, 1) (p₁0,0) = ( (b) (4, 4, 4√6)…

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Q: QUESTION 5. g(z)=3z3+4z2+z+12 What is the slope of this function when z = 9.1? (Round to the…

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Q: Consider the following. quadratic X y -2 5 -1 -3.5 0 -8 1 -8.5 2 -5 3 4 14 Find the equation of the…

A: The given data is:

Q: -3 S T -1 5 3- 2- 1. 0 -1- -2- -3- 2 3 5 Limits A function f(x) is continuous at an x value of aif…

A: Given graph of a function f(x)

Q: ASK YOUR TEACHER Classify each function as a power function, root function, polynomial (state its…

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Q: Consider the two points P(1, -2) and Q(3, 1). 1. Graph the points P and Q in the same graph. Then…

A: We need to solve vector problem.

Q: Use technology to find points and then graph the function y = log₂ (x+3) - 5, following the…

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Q: The amount in grams of a drug in the body t hours after taking a pill is given by A(t) = 30(0.85).…

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Q: 5. Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = ∞, x-2 x-2 ● h(x) > 0…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1 7. For f(x) write the linear approximation at a = 0 and estimate f(-0.1). (Note: The derivative of…

A: Let's find value of f(-0.1).

Q: Match each equation with its graph. (Do not use technology.) -2 (a) y = x² " ООО g h (b) y = x³ Oh…

A: Topic - Functions

Q: Compute the derivative of the vector-valued function. r(t) = teti + tln(t)j + sin(6t)k (e¹(t+1),1…

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Q: Evaluate the limit lim 6 (²1) y→2_8y²(y − 1)³

A: To evaluate the following limit. limy→2 6y2-18y2y-13

Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

A: Given D = adult dosage ( in mg ) c = appropriate dosage a = age Given model c = 0.0417D( a + 1 )

Q: The position of a particle in the xy-plane at time t is r(t) = (t - 2) i + (²+1) j. Find an equation…

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Q: Given that y is a differentiable function of the variable x, find y' if 2x²y² - 3y³ = 1.

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Q: In triangle DEF, side d measures 127 mm; side e measures 144 mm and angle E is 47°; and angle D.…

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Q: Ny 10- 8- 6- 4- 2- y=h(x) 6 X 8 10

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find a curve that passes through the point (1,-6) and has an arc length on the interval [2.6] given…

A: given passes through (1,-6) given arc lenth is ∫261+400x-6dx