Find the exact length of the curve. y=ex, 0≤x≤ 3

Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x

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Q: 16. Find the limit of the following rational function as (a) x-∞o and (b) x--co. -2x²-3x²+2 7x³+2x²…

A: Limit

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.

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Q: Find all points where the function is discontinuous. OA. x=0 OB. x= -2, x=0, x=2 OC. x= -2, x=2 OD.…

A: Given query is to find the points wherw function is discontinuous.

Q: Determine the solution of the differential equation: dx + -1 dy y² y

A: The given differential equation is dydx=x2y2+xy-1

Q: dy Solve for the value of C in the equation: + ycotx dx O A.-5 OB. 5 OC.-4 O D.4 O E. None of the…

A: It is linear differential equation.so we find integrating factor

Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy -…

A: To check: Which of the given differential equations is linear?

Q: Find the equation of the tangent line to the curve y = 8 sin æ at the point (7,4). The equation of…

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Q: Which of the equations below is a second order nonlinear differential equation? O A. ¹^²x²y — (1 —…

A: We have to find second order non linear differential equation from given options.

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ey eLny OD.y O E. None…

A: To find the integrating factor.

Q: Find the limit, or show that it does not exist. 2x - y lim (x,y) (0,0) y + x²

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Q: Which of the following equations has a solution of the form F(x,y)= A. 2x + 3y + (2y + 3x) dx = 0 dy…

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Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of the…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

A: Obtain the differential equation whose general solution is y= C1 + C2 e^3x

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

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Q: Draw the unit circle and then shade in an arc of the circle's boundary with a shaded arc length of…

A: Length of arc, l = r * theta  Where, r = Radius of circle       theta = Angle subtended by arc at…

Q: Find the following matrix product, if it exists. -5 - 5 135 O A. -5 Select the correct choice below…

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Q: f f(x) = = f'(x) = 2x² tan x " Find f'(1) 0 find sec x 2x(x + 2 tan(x)) sec(x) B x 0

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Q: Solve for the value of C in the equation: dx +ycotx = 5ecosx when y (-₁) = 1

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Q: Which of the equations below is a second order nonlinear differenti A. 2 |x²y - (1 - dx)² = e ²x B.…

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Q: fxe* dx.

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Q: A solid lies between planes perpendicular to the x-axis at x = 0 and x = 18. The cross-sections…

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 | when x = -1 and y…

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Q: Solve for the value of C in the equation: O A. 1 (2xy4ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0…

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Q: The answer was not correct... i think they were wanting some kind of answer closer to like…

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Q: What is a suitable integrating factor that can be used to solve the equation dy x + 2y - 4xy - e-*…

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Q: 2. Use the graph below to determine whether the statements about the function y = f(x) are true or…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. O A. y"-3y' = 0 3y" - y'…

A: Topic-differential equations We are given,y=c1+c2e3xWe know thatddxeax=aeax

Q: Evaluate the following integral. 9 4 dx 1-√√x

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Q: 5. Let f(x) = 4x2x3 - 1. Explain, by using the Intermediate Value Theorem, why this function has (at…

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Q: lim 0-0 cos 0 - 1 20²

A: SOLUTION-

Q: Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0 and the plane 3x +2y + z = 6.

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

Q: Find the area of the region bounded by the curves y = x² 3 x - 3x and y= 3 x 1 - 3x on the interval…

A: Let's find area of region bounded by two curves.

Q: Determine the order and degree of the differential equation, 3x- dy4 O A. First order, fourth degree…

A: Topic- Order and degree of differential equation We are given, 3xd4xdy4+5x2d2ydx23-xy=0We know that…

Q: -6 1 1 9 d. f(-4)= = -2 T Consider the graph of y = f(x) above. State the value of each of the…

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Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: 3. Find each of the following limits algebraically (without generating a table of values, graphing…

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Q: Let f(x,y,z)=(x^2−2y^2)/(y^2+6z^2) fx(x,y,z) = fy(x,y,z) = fz(x,y,z) =

A: Given, f(x,y,z)=(x^2−2y^2)/(y^2+6z^2)

Q: Which of the following equations is NOT an exact equation? OA. (2x sin y + y)dx + (x² cos y + x)dy =…

A: To find non exact differential equation.

Q: 18

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Q: Which of the function is not an exact equation of the first order? OA (e³ + ycosx)dx + (xe³ + sinx +…

A: If a first order Mdx+Ndy=0  is exact then  ∂M∂y=∂N∂x.

Q: For the function f(x) = 5x² 2x, evaluate and simplif f(x+h)-f(x) h 11

A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h

Q: Find the limit, if it exists, or type N if it does not exist. 2x² lim (x,y) (0,0) 4x2 + 1y²

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Q: Let f(x) f'(x) = 2 cos x + 7 tan x 2 sin(x) + 7 sec²(x) 1' (5) = 6

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Q: Which of the equations below is a second order nonlinear differential equation? O A. 2 ¯\x²y - (1 -…

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Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: Which of the equations below is a second order nonlinear differential equation? A. B. D. E. 2 x²y-…

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Q: If f(x) = f'(x) = f'(2) = tan x 2 sec x 1 + 2 tan(x) sec(x)

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