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Q: Use the table below to find X f'(x) g'(x) 1 2 2 5 1 23 3 d dx 345 [3g(x) + 5x] 3 4 1 4 4 5 3 2 |x=1

A: To find:-Tablex12345f'(x)25413g'(x)31542

Q: A) [0] 3'3 (5) The appropriate substitution for f A) x + 1 = 3 tan 0 dx √x²+2x+10 B) x = 10 sin 0 C)…

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Q: Evaluate the line integral Jc (2x³y³) dx + (9x³ + y³) dy where C is the unit circle, and verify…

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Q: 9. Given the best fit line as: y = 0.634x+64.945. a)Calculate the residuals for the points in the…

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Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: Let A be the set of employees speaking French and B is the set of employees speaking Mandarin…

Q: Find the area between the curves: f(x)=x+3 and g(x)=x^2-x

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Q: 2. Find the limits. Show your side work. 2 x-2 (x - 2)² (a) lim (b) lim tan x I→π/2- (c) lim tan x…

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Q: The slope of the line normal to the curve ex- x³ + y2 =10 at the point (0, 3) is: A. -1/6 B. 1/6 C.…

A: Equation of curve,Point

Q: f'(x)=x²-12x +35 x+4 CRITICAL POINTS 1) 8 b)-4 c) 12 ว OF THE FUNCTION TOGETHER, THEIR WOULD BE IF…

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Q: solve the following couble integrals B) 14 13 2 xy dy dx

A: according to bartleby guide line we do only first part of multiple questions.(B) let

Q: Compute the derivative for r(t) = (1, 13, 14). d ar(1) r(t) = (f(t), g(t), h(t)) dt

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: Find an equation of the tangent line y(x) of r(t) = (tº, t²) at the point t = 1 (Use symbolic…

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Q: Find Vf at the given point. f(x,y,z)=x² + y² - 3z²+z Inx. (1,4,3) Vf|(1,4,3)+(+(k (Simplify your…

A: Given:We are required to find:

Q: dy dx - x7e² = 2e", y(0) = 1

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Q: Simplify the following expressions. sin x sec x sec² x-tan²x+cot² x sin² x cos 2x-cosx sin 2x+sin x

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Q: A cubical box has interior measurement of exactly 3 meters long along  each edge. If the material…

A: To approximate the volume of the material used in constructing the box, we can consider the…

Q: Solve the following equation for x. 9* = 27

A: We know that the formulaa^m=a^n => m=n

Q: b) x²y + xy = 1 x>0 y(1) = 2

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Q: (16) The sequence {(1-2) A) converges to e (17) A formula for the general to 6 MIN B) converges to…

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Q: 7. Find y'if y=x³+ sin (x)

A: given

Q: Find the equation of the line normal to the curve y=x³-4x at the point (2,0). Sketch the curve and…

A: Given curve Point(2,0)

Q: According to the properties of logarithms log(8) = 3log(2) O True False

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Q: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

A: A ladder 15 m long leans against the wall. The ladder slides down the wall at a rate of 1.5 m/s.…

Q: Assuming - 2x³ + 4y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dy dx -…

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Q: 2k=1k7 Α) Σκ=1 1/4 (19) log (9)+ logo (4) is equal to: A) logo (13) B) 2 C) logo (²) D) 6 STAT

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Q: V². (2² + y²) and above by the sphere 2² = 10²-x² - y². Provide an answer accurate to at least 4…

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Q: 3. integrate mathematical statements into grammatically correct expositions. Assignment: Find all…

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Q: 4) Find vector and parametric equations of the plane that contains the two intersecting lines…

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Q: cot² x + cotx = 0

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Q: 1. Find the natural domain f(x) = 3 √2x+1

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Q: A rate of change of H is given by d = k(5 + H). When t = 0, H = 4. When t = 3, H = 10. Solve for…

A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

Q: 15. 5² dx (x² - 1)3/2 1/2 17. ²x√1 - 4x² dx 19. f √ √ x 21. fºx² √a² — x² dx 23. f √x²-9 29. J S X…

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Q: The number of ants in Bob's kitchen increases at a rate that is proportional to the number of ants…

A: Given that,There are 20 ants on day 0, and 60 ants on day 4.And,ants are increases proportional to…

Q: 2:2 y² The point (4, k) lies on the ellipse + = 1. 32 18 Which of the following could be a value for…

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Q: Letf(x)=1-x. If the region humed by the curve and x and y exis is revolved about the axis X=1, Find.…

A: f(x) = 1 – xIf the region bounded by the curve and x and y axis is revolved about the axis x=1Find…

Q: The family of curves represented on this graph would appear to be consistent with which of the…

A: Y

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=2e* cos (yz), Po(0,0,0),…

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Q: Prove the following equations are identities for all permissible values of x, by manipulating only…

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Q: Find the solution to the initial-value problem dy dx e5y. 3, y(0) = ln(ln(3))

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Q: 2. m, ne N. (a) You are given that limx→ (x log x) lim [xm (log x)"] X→0 Use L'Hôpital's rule to…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: How would I solve when it asks this? Using the same equation as previous

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Q: Evaluate the limit for r(t) = (t-², sin(t), -5). -2 lim h→0 r(t + h) - r(t) h - (f(t), g(t), h(t))

A:

Q: 8. A laptop computer's battery has a voltage drop modelled by the function t V(t) = 20e 16, where V…

A: A laptop computer's battery has a voltage drop modelled by the function  where V is measured in…

Q: (c) Hence compute x6(log x)5 dx.

A: From part a we have results

Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y…

A: Area of surface obtained by rotating the curve about x axis is given as

Q: Compute the derivative (r₁ (1) r₂(t)) if r₁ (1) = (1³,1³,16) r₂(t) = (e²¹, est, e71) (Use symbolic…

A: two corruptions are found in your answer are;1) express answers by using a 'comma' instead '+'…

Q: I cant read that, hense the new submittal of the question.

A: First of all let we are differentiating with respect to xdifferentiating of implicit function mean…

Q: 10. True or false: the function y= 9=0 horizontal asymptote Jinz (x) x²+3 a has

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Q: If a population P is growing at a rate that is proportional to √P, is the population growing…

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