Determine the domain of the function. 4x-7 4x + 36 f(x) = The domain is (Type your answer in interval notation.)

Q: 20. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

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Q: Use the matrices below to perform matrix multiplication. B = If the operation is undefined, enter…

A: We have to find products

Q: sec² x 0 1+tanx If sh -TT/2 -TT/4 TT/3 TT/6 O dx In 2, then what is the value of k? =

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Q: 17. A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the…

A: Concept of similarity along with derivative is used.q

Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: Given the functions: f(x)=x²³-8x g(x) = √2x h(x) = 6x+7 Evaluate the function h (f(x)) for x = 3.…

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Q: 12. Integral x² dx x³ +4

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Q: The number N of Netflix subscribers in Grassyboro is shown in the table below. Estimate the…

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Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: (C) For what values of x does the series 11=1 (D) Find Taylor series at x=2 for the function ala…

A: series and taylor

Q: +√³1 (2) dx = -3 and ³ S If it is known that [²₁ √f (a) da = 4, find the value of f(x) dx.

A: To find out the integral value.

Q: a. Set up an integral for the length of the curve. b. Graph the curve to see what it looks like. c.…

A: Explanation of the answer is as follows

Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

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Q: The fourth left-endpoint in a partition of [0, 3] with Ax = 0.5 is

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Q: 9. Integral (2x-5) dx x²5x+3

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Q: (A) Find the integration factor of the linear differential equation y' −2(tan x + x)y = xex

A: To find the integration factor of the given differential equation.

Q: 8. y = In (In (In x))

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Q: o what does it con s conditionally conv 1. onvergence for at is the radius of approximation of e √2,

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Q: What is the area under the graph of y = 2 54-3-2-1 O O N/W 13 2 15 2 ਜਾਨ , -2+ -3 4 1 2 3 4 5 X on…

A: The region is bounded by the graph y=2-x on the interval -2,1

Q: -2 -6- X G

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Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

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Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: I have stated the used formula in the solution

Q: ƒ (t) = -{ 5,03

A: We know the followingLf(t)=∫0∞e-stf(t)dtLeat=1s-aLtn=n!sn+1Lsinat=as2+a2Lcosbt=ss2+b2

Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да…

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Given, f(x) =(2x-3) g(x) = -4x2+9 = 9-4x2 = (3)2-(2x)2 = (3-2x)(3+2x)  h(x) = 4x2-12x+9 =…

Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

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Q: Evaluate the integral using integration by parts. Scot-¹(8y)dy 1 Scot ¹(8y)dy = -x In (cos (6y)) + C

A: The given integral,       ∫cot-18ydy

Q: X f(x) g(x) -2 5 1 -1 2 3 0 4 1 -2 2 -4 -3 -6 -1 f'(x) -4 -2 1 5 -5 g'(x) -1 3 -3 4 2

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Q: T² T³ T Y pln(y+z) e dxdzdy = [Show your solution.]

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Q: What is the volume generated by revolving about the x-axis the region enclosed by the graphs of y =…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. X = =…

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Q: d²y dx² - dy 4 + 7y=0 dx

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Q: 1-p p#1 u(c) = In c Show that limp-11-p C¹-p Given this result, is u continuous at p=1 ? p=1 = In c

A: Given that,uc=c1-ρ1-ρρ≠1ln cρ=1

Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7

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Q: 11. Integral sin³ R cos R dR

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Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fraction…

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Q: Find the coordinates of the points of inflection for the function. 14) f(x) = 7e-x²

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Q: A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) = (4…

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Q: Find the largest open interval where the function is changing as requested. 24) Increasing…

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Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: Find the volume of the prism. 12 ft 27 2 ft 3/ ft V = [?] ft³ Write your answer as a mixed number…

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Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

A: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

Q: 2. Integral A e3A dA

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