* The following function f(x) = x^4 sinx is odd O neither even O O

Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Consider the function f(x)=2sin(x)+(√3/2) x^2 This function has two inflection numbers A<B in…

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Q: ---(1) (y-2)² + (x - 1)² - 9 ---(2) 3. 16 = x² + y²

A: use for quadratic equation   a x2+bx+c=0x=-b±b2-4ac2a and -1  = i

Q: ſº 5u³ – 3u³ – 9du

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Q: MTI THE - T C₂ b

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find the derivative of each of the following functions using any method. 4.) f(x) =…

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Q: Evaluate the indefinite and definite integral (2e* - 3e-2x) dx

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Q: 1) a car is slowing down at the rate 0.8 ft /sec², How the will the can move before it stops if its…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: Solve the differential equation (18xy + 18y²)+(6x² + 18xy)y' = 0 using the integrating factor u(x,…

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Q: describe now you can tell from the equation where to graph the branches of this hyperbola & write…

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Q: Jse a graphing utility to graph the function and estimate the limit. Use a table to reinforce your…

A: Using l hospital rule to get limit

Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: State the order of the given ordinary differential equation. (1-x)y" - 5xy' + 2y = cos x Determine…

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Q: Let f be the function defined as follows. y = f(x) = √5x + 5 (a) Find the differential of f. dy = X…

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Q: Let E be the region in the first octant enclosed by z = √√√x² + y² and z = 2. Which of the following…

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Q: A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.…

A: To find the maximum hight of the ball.

Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: Find the general solution of the given differential equation. dy 2 + 6y = 3 dx y(x) = Give the…

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Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A: The simple use for plane and point and normal vector..

Q: Distance Between Two Cars A car leaves an intersection traveling east. Its position t sec later is…

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Q: 1. J tanßsec2ßdß 2. (tan0 – 1)2d0

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Q: rectangular plot (the fourth side is a er and will not require fencing). Find the dimensions of the…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Sketch each of the following: . the solid E • the projection of E onto the xy-plane the projection…

A: answer is in next step.

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 y = 16 where x is the…

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Q: 1 (c) I Y (d) y = 5x x², y = x = 0, y = 1, y = e I=

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Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field (the fourth…

A: A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field.

Q: dy Q:4) Solve the following differential equation: = 1+ x + xy + y

A: The solution is given below.

Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: The equation of a surface in spherical coordinates is given by p= 6. Rewrite this equation in…

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Q: Solve the differential equation (24xy +24y²) + (8x² +24xy)y' = 0 using the integrating factor u(x,…

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Q: Find an explicit solution of the given initial-value problem. dx dt = 7(x² + 1), x(7) = 1 X ||

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Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

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Q: Fill in the blank. The symbol C₁ represents a constant. - (6 + C₁e-⁹x)= Write this result as a…

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Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

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Q: If the tangent line to y = f(x) at (5, 2) passes through the point (0, 1), find f(5) and f'(5). f(5)…

A: Topic = Derivative f5=2f'5=15

Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

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Q: The exponential function given y H(t) = 80,031.49(1.0483)', where t is the number of years after…

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Q: L² -4 JO 16-x² 16-x²-y² 0 1 dz dy dx

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Q: 16. A cup like object is made by rotating the area between y = 2x² and y = x+1 with x> 0 around the…

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Q: The triangle inequality is the most common algebraic tool for rigorously proving order…

A: Note:- As you want the answer of 4th statement so i am solving only it.

Q: For the following flux rules, determine regions of the real line where u is instantaneously…

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Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

A: Solving the problem by finding the value of the problem.

Q: Determine whether the differential equation - (2x² − 2xy + 5) dx + (8y² − x² + 2) dy = 0 is exact.…

A: The given differential equation is;  (2x2-2xy+5)dx+(8y2-x2+2)dy=0.

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

A: The objective is to solve the above question.

Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.04x² - 5x+6x0.3 |_ -4800.…

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