dy d x X Y y(0) 1 = -3

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Q: Integrate the following using To xox $1+2x miscellaneas substitution:

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A: Given :- gx=∫0sinx1+tdt

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Q: Direction: Analyze the given problem. Show your complete and detailed solution (Given, Unknown,…

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 10. Suppose that you have the following table of values for a function: f(x) 100 X 0 1 2 3 4 71 50…

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Q: Show that the scalar field = 1/R], which is defined everywhere except at the origin, is a potential…

A: If f is a function then ∇f=fxi+fyj+fzk. f is a potential function of F if ∇f=F

Q: an=n= 1 n for n 21 is increasing, decreasing, or 4. Determine whether the sequence neither. Is the…

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Q: 1 I 1 1 1 1 I I 1 I 1 1 1 1 I 1 1 1 I 1 1 1 1 1 1 1 1 1 1 1 1 1 1 I 1 1 1 1 1 1 1 1 1 1 1 1 1 I I I…

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Q: x 18x² +81 Factor the denominator: - dx x²

A: Oo

Q: Find the derivative of the function f at any real number c. Use the form f'(c) = lim X→C f(x) = 3 -…

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Q: Find the mass of the rectangular prism 0<x<1, 0<y<4, 0<z<2, with density function ρ(x,y,z) = x

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Q: an || = 3n² + cosn 5n² +1

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Q: The diagram above shows the graphs of y = e-* (red) and y = x (blue). (a) State the equation in x…

A: Point of intersection refers to the point where the graphs intersect. Graph is a diagrammatic…

Q: Use the limit definition of partial derivatives to find fx(x, y) and f(x, y) f(x, y) = x² - 2xy + y²…

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Q: S₁ 9 $₂ = 81 X $3 $4 55 9 Σ; 27-1 n = 1 = X

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Q: 5. The Cobb-Douglas production function for a new product is given by P(x, y) = 10x406, where x is…

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Q: +9.25 where A(t) represents the 1. Jacy keeps track of the amount of average monthly rainfall in her…

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Q: Convert f(x) = 2x² + 5x-1 to vertex form O f(x) = 2(x + 5)² - 41 ○ f(x) = 2(x + ²)² - 33 8 O O f(x)…

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Q: The position function of a particle is given by r(t) = (4t², (4t², 5t, t²- 1t). 1 At what time is…

A: rt=4t2, 5t, t2-1t To find the velocity, differentiate the position function with respect to t, we…

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A: See below the answer

Q: 2. A population y grows according to the equation dy the population doubles every 21 years, then…

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Q: Name: 23 22. Evaluate the limit for the graph: lim f(x). x→2¯ a. 1 b. 3 4 y+ 4 N -2 -2 0 -2 4 Q 2 4…

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Q: Suppose y = √2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy X…

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Q: What are the solutions to the equation 3x² + 6x + 5 = 0? A B C D - 1 t −3+√6i 6 ± −1+ 3 i 2√6 ∙i w/²

A: 3x2+6x+5=0we know  -1=iwhere i is stand for iyota

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Q: How many inflection points does  Which points are inflection points? (List the labels of the points…

A: To find inflection points of the given graph

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Q: 15. Evaluate the limit for the graph: lim f(x). *→2* 4 +∞o a. b. -1 14 A 2 -2 0 2 A C. d. 2 does not…

A: Solution:

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Q: Differentiate y' = with respect to t. y = d cos(t) + t² sin(t)

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Q: they​ occur, for the function f(x)=x2−18lnxon the domain [1,11].   Select the correct choice below​…

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Q: ex \e=-2) (e²+1) dx

A: To find integral

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A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find a plane containing the point (1,4,3) and the line of of the planes 7x + 5y - 8z = 27 and 5x +…

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A: Solution below

Q: 5. Consider the region R bounded by y=1-x² x = 0 and y = 0 [This region is used to answer questions…

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Q: lim 8118 3 3+2½X

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Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

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Q: Find the length of the arc of the curve Y = 3/2 (2 x − 1) ³ from = - x = 0 to x = 9 - x =

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Q: Evaluate lim x-0 e-1 X

A: We have to slove above limit problem