The discontinuities of the function f(x) = %3D 4х-9 are: х2—2х-15 Select one: O 5,3 O -5, -3 -5,3 O 5,-3

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A: Here we have to solve the given problem.

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A: First I have used  a substitution and made integral easy and then solved it.This is the process.

Q: (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

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A: To find the equation of the tangent line at x=2.

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Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

Q: Evaluate the integral. HINT: [Use a shortcut.] e 8x - 1 dx

A: Using substitution ,

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8

A: Given,            rt=t2-8i+tj ; t=8To find : Tt and Nt at the given point.We know that,…

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Q: g(b) Use the Substitution Formula, JKax) •gʻ(x) dx = [ | f(u) du where g(x) = u, to evaluate the…

A: The given integral,a) ∫-334rr2+22drb) ∫034rr2+22dr

Q: Use Green's Theorem to evaluate the line integral (y – x)dx + (2x - y)dy for the given path. C: x =…

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Q: 12. S,(s² – 1) sds 13. (1² - t) dt

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Q: Question 7 Given that f (x) = 3x – 2 and ( x + 3 if x > 2 g(x) = Ja| - 3 ifr 2 what is (f + g) (-2)…

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Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: 2/ Find the value of the limit: lim x/*,

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Q: 2. Find the area bounded by a curve x = y - 2y? - 3y and the x- axis 3. Find the area bounded by a…

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A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

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Q: Find the curvature of the curve 7(t) = (3 cos(4t), 3 sin(4t), 4t) at the point t %3D Give your…

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Q: Q1/0fin t the Tulorssevies at- for F(): Sinメ Iat ○ F(対 ak y=1 f(x) =

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Q: Given the function g(x) = 6x° + 72r² + 270z, find the first derivative, g' (1). gʻ(x) = Notice that…

A: g'x = derivative of gx with respect to x g''x = derivative of g'x with respect to x if at  point…

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A: Line integral

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Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

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A: We have to find rate of climb of airplane at t=180 sec.

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(x)

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 r(t) = e"i+ etj %3D K(t) = ||

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Q: For the polynomial -1/2x(3x + 1)*(x - 10)², find the following: a) the end behavior of the graph…

A: Given:    P(x) = --1/2x ( 3x + 1 )4 ( x - 10 )2

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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Q: 1. Consider the curve defined by 9x2 – 16 y² +36x + 96y– 252 = 0. a) Write the equation of the curve…

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Q: equation for the hyperbola with foci (0, ±5) and with asymptotes y = +x. ind an

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Q: 6. Find the intervals on [0,2r)where f(0) = sin²(0) is concave upward/ concave downw %3D

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Q: 1. メーメー2 xペー5x+6

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Q: Let f(r) = 5I + 2. Using the definition of derivative at a point, a. enter the expression needed to…

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Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

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A: To complete the following statements.∫dxa2-x2we may use x=? and dx=?substitutions to reduce the…

Q: Show that (1-)" =e= %3D Which of the series converge and which diverge. 4n+3 (1) E=14 m%3D1 (-4)"…

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Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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