1. Given that lim f(x) = −1 and lim g(x) = 8, find the following limits. x-3 (a) lim (2g(x)-4f(x)) x-3

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Q: lim x 4 X-4 X-4

A: Answer for first question is =-0.0625 Answer for second question is =-4/(3u-1)2

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Q: ATA D yo 288 -6-5-4-3-2-1 -2 -3- Calculator -4 -5- -6 7 1 2 3 4 $ Write an equation for the function…

A: Here we have to the equation of the given graph.

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A: here given data  Principle amount P = $1000 interest rate = 10% compounded 4 time in year

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A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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A: Given query is to find the derivative of the function.

Q: nd Vw. w = xe³y sin 5z TE: Give your answer in unit vector notation; that is, in terms of i, j, and…

A: Topic:- application of derivatives

Q: 1. (Click on a graph to enlarge it.) 3 AN The graphs of 4 functions are shown above, and the graphs…

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Q: 205. R dx x³ - 2x² - 4x+8 Et

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Q: Find the vector component of v = 2i - j + 3k along b = 3i + 6j + 6k and the vector component of v…

A: Given that       v = 2i - j + 3k       b = 3i + 6j + 6k

Q: Hint: Use the half-angle identity cos² solution X - 1 (1 + cos2x) + C

A: Given query is to find the value of the integral.

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Q: Find the relative maximum point(s), relative minimum point(s), and point(s) of inflection of the…

A: If for a function f(x),(i) f'(x) changes sign from positive to negative around a point x=c then c is…

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Q: 21-24 Find an equation of the tangent line to the curve at the given point. 21. y = sin x + cos x,…

A: I have appended the formula used in the solution part of the question

Q: Consider the points A(3, −3, 3), B(4, −5, 0), C(−3,−4, 0), and D(6, 2, –6). (a) Find the volume of…

A: Let's find volume and distance.

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Q: 7. Prove that d dx [cos ¹ x] = = 1 √1-x² x2

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Q: use the graph of the function f(x) below to answer the following questions. (-3,0) -4 (-5,-2) 13.…

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Q: Find numbers a and b, so that f is continuous at every point. 4) f(x) = x -3

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A: Given function⇒fx,y,z=39x+12y-56z  Subject to constraint x2+y2+z2=19204

Q: Unit 3: Rational Functions Examples: Solve the following rational inequalities algebraically. Verify…

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Q: Differential equations exact (y+2xy³)dx +(1+3x²y²+x)dy=0

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Q: 4. Linear Equations a. (y - cos²x) dx + cosxdy =

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Q: Consider the points A(2, -3, 3), B(3, -5,0), C(-3, -4,0), and D(3,3,-6). (a) Find the volume of the…

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Q: Question 1: Part A; Tutorial Exercise Evaluate the difference quotient for the given function.…

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Q: what is rational function ?

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Q: Use the Law of Cosines to determine the indicated angle 8. (Assume a = 126.5, b = 59.5, and c = 159.…

A: Given, a=126.5, b=59.5 and c=159 Aim: Find θ

Q: Using a graphing utility, graph y = 5 on the interval3 - 3, 34. Use MAXIMUM to find the local…

A: Given function y = 5 interval = (3, - 3)

Q: Calculate the derivative using implicit differentiation: சம dz || -2zw - 7y (x³ +8w+z²) θω dz…

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Q: f(x) = x5 + 8

A: Given, fx=x5+8