5.) Find the limit. When necessary, state that the limit does not exist. 2x2-x-21 lim, 7

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Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: ул -5 -5-4-3-2-1 -5 45

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Q: Evaluate the limits. lim 12= X-7 lim X->-1 lim (5+3)= +->5 X= lim (4₂³-3₂) = X-7-1 lim X-7 lim X-7-3…

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Q: 5|x+7|+5>1/5 Interval notation and number line

A: NOTE: Refresh your page if you can't see any equations. . subtract 5 from both sides

Q: Solve dy/dx = x² + 2xy + y² + 2x + 2y, y(0) = 0.

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Q: Consider the following given function and given interval. g(x) = (x + 2)3,   [0, 2] (a) Find the…

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Q: v = fb an V (x − 3)(x x= y₁²³-4y+3 чуте x = 3 X b 2₁₁ × [ f(x)] dx 29 x= 1x 2 y

A: v=2π∫13y(1+(y-2)2dy v=2π∫13y(1+y2-4y+4)dyv=2π∫13(y+y3-4y2+4y)dy

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A: We need to find rate of change.

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A: Given x3-x2y5=-2,point (-1,1) The objective is to find the equation of the tangent line to the…

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Q: Solve:  dy/dx=1+e^(y-x+5)

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Q: Find the average rate of change for the function over the given interval. y = 3 between x = 1 and x…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

A: Given that a mold grows at a rate that is proportional to the amount present.Initially there is 6 oz…

Q: ph are given. y 2 -4 -6 2 4 X

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Q: question 14. y' - 5y = e5x, y(0) = 2 answer 14. y e5x (x + 2) =

A: The given initial value problem is: y'-5y=e5x ;      y(0)=2

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Q: Determine the character of the roots of the following quadratic equations (NO NEED TO FIND THE…

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Q: Use a graph off to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x…

A: The given function is: fx=1-cos2x-25x-12; a=1 (b) To evaluate f(x) for values of x near 1 to support…

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Q: Q3/ Use the l'Hopital's rule to find the limits 1) lim X-0 sinx-x x3

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Σ n = 1…

A: as per company guidelines we solve only first question when multiple question being posted

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A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

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Q: Luke is now twice as old as Alex. Four years ago, Luke was three times as old as Alex then. How old…

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Q: 3- 2 01 -8-7-1 T 2 -3- # Determine which one of the following rules for continuity is first violated…

A: from graph f(-1)=-2

Q: If f(x)=√x-2 and g(x)=x+3, what is the domain of f(g(x))? O #23 02-2 O M-1 O z>2

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Q: Problem 2. Find [3te²¹ dt

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Q: Say if it’s FUNCTION or NOT. Answer those 5

A: We need to determine given graphs are functions or not.

Q: dI (a) dy = -2xy, (b) xy' + 3y = 0; y(1) = 2, (o) +27= 10; 7(0) = 0, dx

A: According to guideline I can answer maximum three subparts.

Q: lve (a) da 2y X x²

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Q: Given: f(p) = 2 Choices: (2p+3; p1 Evaluate lim f(p). P-2 a. b. 5 7-2p Limit does not exist c. 2 d.…

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Q: Evaluate the limit: lim h→0 Question Help: Video Submit Question (-3+h)²-9 h Jump to Answer

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Q: Given F (x) = ſő e³¹ dt, what is F'(x)? So

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Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition

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A: as per company guidelines we solve only first question when multiple question being posted

Q: solve DE using laplace transforms

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Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

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Q: How would you define f(6) in order to make f continuous at 6? f(x) = x²-3x-18 x-6

A: The given function fx=x2-3x-18x-6 we have to find the value of f6, so that f is continuous at x=6

Q: • The domain off is (-∞, +∞0) •f (5)=-2 • x intercepts are -7, -5, -3, 0, and 3 • limf(x) = 0 x+5 •…

A: To Find: Create a function that satisfies all the conditions.

Q: Given: f(p) = Evaluate lim f(p). p-1 Choices: (2p+3; p 1 a. Limit does not exist b. 5 C. 2 d. 6 ;

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Q: Find where y is defined as a function of x implicitly by the equation below. y³ + 2x²y5 = 1 O Select…

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Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: cide whether the limit exists. If it exists, find its value. lim f(x) and (-1)¯ 6 2 T 09 lim f(x)…

A: We will find the required.

Q: 1 23. Σ (Inn)" 0=1

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Q: 2. Given g(x) = 2x5 + x² where b is a constant, find the value of b if g'(2) = 180. "

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Q: 2 (2xy-3x²) dx + (x² + 2y) dy = 0

A: We have to find the solution of the following differential equation in x and y.

Q: 1. Find the roots of the following quadratic equations using the prescribed method. a. 9x² +6x+1=0;…

A: To find out the roots of the quadratic equation.

Q: 5|x+6|+8>4 Interval notation and number line

A: NOTE: Refresh your page if you can't see any equations. . subtract 8 from both sides