Determine all real zeros of f. Ax) = x³ + 4x² – 9x – 36

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

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A: when x=0, y=0 at x=1 then y=π at x=-1 ; y=-π

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Q: Q.2 - Use the Riemann sum approximations to approximate the area under the curve of y = x on the…

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Q: 2. - XGtx)

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Q: Find the indefinite integral. sinh(6 – 7x) dx

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Q: Find the particular solution of the differential equation. dy 7 - 7x° e -×' ; y(0) = 4 dx y =

A: See below the answer and calculation

Q: 2. Jx2Vx3 – 27 dx -

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: 10 Convert the Cartesian equation 2 xy = 1 in polar equation form. r²cos2θ = 0 cosθsinθ = 1/2…

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Q: Find the curl of the vector fleld F(z, y) = 9ye" i+2ejat the point (-2, 0). Enter an exact answer.…

A: F(x, y)=9y2 ex3 i +2x2 ey jcurl F→=∇×F→curl F→=ijk∂∂x∂∂y∂∂z9y2 ex32x2 ey0         =∂∂x(2x2…

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Q: 10 | Vx3 + 6 dx, n = 4

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Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

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Q: f(x, y)dydx= 0. f(x, y)dxdy. 0. Select one: O True O False

A: Given; ∫01∫0xfx,ydydx=∫01∫y1fx,ydxdy   Let, I=∫01∫0xfx,ydydx The region bounded by the lines, y=0,…

Q: Consider the polar curves Cı : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as…

A: Integral

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Q: Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's…

A: The population's rate of change can be modeled bydpdt=-130 e-t30, where t is the time in days.

Q: Find or evaluate the integral by completing the square. (Remember to use absolute values where…

A: ∫ (6x-8)dx/(x2 +2x+2) ∫ (6x-8)dx/(x2 +2x+ 1 +1) ∫ (6x-8)dx/((x+1)2 +1) ∫ (3(2x+2) - 14)dx/((x+1)2…

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Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Determine the equations of the vertical and horizontal asymptotes of the graph of the function f(x)=…

A: Given functionf(x)=xx-4

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(/3/2, -1/2) O (1/2, -V3/2) O…

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Q: Solve for fxx, fyy, fxy, and fyx. f(x, y) = 27x√(3y) + 27y√(3x)

A: We want to find the partial differential.

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Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: Question 1 π 2x Evaluate the integral cos(xy)dydx 4

A: ∫45∫0π2xcosxydydx

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A: The given function,      fx=78x-5, -1≤x≤3

Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 is a line. Find the slope and the y-intercept of…

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Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: Determine the points at which the limacon defined by the polar equation r= 3 +2 sin e Has horizontal…

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Q: の Cm (1av)ー lim XDO

A: lim   ((1+x)3/2 -1)/x x  -- 0 here 0/0 for so we use la hospital rule and differentiate above and…

Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

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Q: Let R = {(x, y) ER214 < x? + y < 9}. By inverting to polar coordinates: %3D y? %3D Vx? - + y2 Select…

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Q: Find the area between y = 3 sin a and y = 7 cos a over the interval [0, 7]. Sketch the curves if…

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Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: 8. Let y(x) be the solution of the differential equation ry-y-Ina such that y(1) 1. Find y(2). A…

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Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

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Q: Evaluate the integral 3. 2х cos(xy)dydx 2

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Q: 9-x2 dx. Use trigonometric substitution. x2

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