Find the following limit. 1 x+6 Provide your answer below: 1 3 lim x--3 x + 3 Give your answer as a fraction. For example, if you find that the value of the limit is you would enter FEEDBACK

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Q: Find the domain of the function. f(x) = (6cosx)/(1 - sinx)

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Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

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Q: (2) Find general solutions (implicit if necessary, explicit if convenient) of the differential…

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: Find f(x) + g(x), f(x) g(x), f(x) · g(x),. F(x) ,f(g(x)), and g(f(x)), if defined. See Example 5.…

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Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: у=х+5 6х

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Q: If 2x ≤ g(x) ≤ x^4 - x^2 + 2 for all x, evaluate lim x → 1 g(x) using the squeeze theorem

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Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…

A: Here we have to find the value of x for which f is discontinuous and determine whether f is…

Q: For the discrete logistic equation Xt + 1 = cxt(1 - xt) and the given values of xo and c, calculate…

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Q: 10. Evaluate 0 X √x² +36 dx

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Q: Which of the following differential equation is (are) solvable by a method that requires a…

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Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: Question Consider the region, R, bounded on the left by the line g(x) = 4x + 4, on the right by the…

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Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: 28. The function f is continuous on the interval [3, 11] with some of its values given in the table…

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Q: 4. a) If you were given a function in the form y = g(x), explain how you would determine the…

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Q: 30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

A: we will find the required.

Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

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Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: Find the limit using direct substitution. x-4-2 lim X-13 X

A: Find the limit using direct substitution limx→13x-4-2x=?

Q: (b) Evaluate the integral J x + 3 (4-5x2) 3 dx.

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Q: Consider the given function shown on he graph. Identify three values of x at which f(x) is…

A: Topic:- function and limits and continuity

Q: Function 2 x + 2 Discuss the continuity of the function on the closed interval. (Enter your answer…

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Q: Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in…

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Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

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Q: dy dx x2(y2+3) + y (x3+1) = 0

A: To solve the differential equation.

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

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Q: 18. The first term of a sequence is 3 and the common difference is 4. State the general term.

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Q: (3) Find explicit particular solutions of the initial value problems below. (a) + 1 = 2y, y(1) = 1.…

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Q: 357. 358. 359. cπ/3 0 sinx-cosxdx sinx + cos x ₂π/2 π/6 ₂π/3 π/4 CSCxdx cotxdx

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Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

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Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

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Q: 11. Find the domain of √√x-4 x² - 6x f(x)=

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Q: #8) x=y²-8 No need to integrate any of the setup below. a) Only give the setup with respect to "dx"…

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Q: For the following function models the position s(t) of an object moving along a stright line, where…

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Q: The graph of P = f(t) in Figure 1.8 gives the popula- tion of a town, in thousands, after t years.…

A: (a) The graph has been edited to precisely measure the coordinates at different points.

Q: lim Cos (40)-1 846 Sin (18)

A: NOTE: Refresh your page if you can't see any equations. . use L'Hopital's rule