9. n=1 1

Q: Find the area of the region enclosed by the graphs of 1 1 √1-9x²² NOTE: Enter the exact answer. Y…

A: Find the area

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: 0:0(0-¥x)+XP(46+2)

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Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: Each of the following differential equations has an integrating factor depending on only one…

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

Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

A:

Q: Consider the function below. f(x, y) = In(x + y - 3) (a) Evaluate f(1, 3). (b) Evaluate f(e, 3) (c)…

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for -0. (a) lim (-37x² + 192³) =…

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Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

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Q: . Find the solution of the DE y' a. 2xy + Iny = c b. -2 /y-2lny = c c. 2xy + 2lny = k d. -2y+lny = c…

A: The given differential equation is; y'=y/[x+sqrt(xy)].

Q: Graph the parabola and find its vertex and the axis of the parabola.   ​f(x)=​(x−2​)2       Question…

A: Topic: parabola

Q: Tim √x-2 X-74 X-4

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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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

Q: y"+y=csc²

A: Need to find out the solution of the differential equation by the use of variation of parameters.

Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

A:

Q: 2. Find_lim (3x³ + √9x6 − 2x³ ) ∞-1x 2

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 50x + 0.6x²…

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Q: Evaluate 9x³ cos² (¹) dx ·f92³

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Q: Given the graph of the function f (x) below, use a left Riemann sum with 6 rectangles t approximate…

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Q: Let f(x) = -3x² + C, where C is any real number. Then the expression f(x+h)-f(x) h can be written in…

A: The given function fx=-3x2+C, where C is any real number. We have to find the value of fx+h-fxh

Q: Use the graph of the function f shown to estimate the following limits and the function value.…

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Q: Evaluate the expression 3-³6².

A: Given, 3-362

Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: (b) dy 3-4012 4xy + by2 ; dz = (1) y(1) = -1

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Q: You are given the following function. f(b) = b + √b (a) Find the derivative of the function using…

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Q: 1(1)

A: We have to find the following given condition according to the given information

Q: What is the center (h,k) and radius of the cirlce: x2+y2-6x+4y=12

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Q: 7/2 4 cos 0 3+2sin -de 0 30

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. Directrix is x = 2 and the focus at (-2, 0). Equation in standard form: Opening/Concavity Vertex…

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Q: Suppose that the functions p and q are defined as follows. p(x)=x²+7 g(x)=√x+8 Find the following. =…

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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: 8. y = In ln 1+sinx 1–sinx

A: As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2 And the common…

Q: Find and sketch the domain of f(x, y) = 3√2 sin[(x² + y²)] − 1 + ln[ln y].

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Q: 3. A flag is raised vertically from a pole at a constant rate of 0.5 m/s. A point B on the ground is…

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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: In Exercises 5-14, determine the convergence of the given series using the Ratio Test. If the Ratio…

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Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: Evaluate ㅠ * 0 sin (9x) sin(5x) dx.

A: To evaluate the following integral.∫0π sin9x sin5x dx

Q: Then (fofof)(x) = || (gogog)(x) = ((fog) - (gof))(x) = ((f+g) o (f-g))(x) = f(x)=2x-1 and g(x) = 3x…

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Q: Exponential and Log Derivatives "hat is the slope of the line tangent to the graph of y = 2 In(x) at…

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Q: Indicate whether the following equations are true or false for all integrable functions f. a) b) c)…

A: a) We know that properties of integration,…

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: The two vectors a and b in the figure have equal magnitudes of 10.9 m and the angles are 0₁ = 34°…

A: Shift the given vector b and then do the vector sum after breaking the components.

Q: Integrate dx/x with limits from 1 to e. A. 1 B. 1/2 C. e D. e/2

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: lim √x+15 cos (x + 4) X--4t

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Q: Evaluate lim X-700 lim X-700 lim the limits 44X 1-5X 2x+5 10x²-3x+5 2x3-7x²-11X 11-10X-9x3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

A: