y = (x²+4)* Use Logarithmic Differentiation to find dy dx = dy dx

Q: Q2: Find y(2) if D.E as give 2 dy+3y=sin 2x, y(0) = 6 dx Given

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Q: 12. Calculate the area of the segment cut from the curve y = x (3-x) by the line y = x. A. 5/3 sq.…

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Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: Calculus I Find the second derivative.

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Q: 2.) (cotx + tanx) ² dx

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Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

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: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

Q: find the area of y=x and y=x(x-2)

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Q: Let y = f(x), where f(x) = 7x5/6 + 5x²/3. Find the differential of the function. dy = X

A: The objective is to find the differential function.

Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: Find the solution of the given initial value problem. T ty' + 2y = sint, y = 3, t > 0 2 Y ||

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Q: Q2) find the absolut maximum values and minimum value of the function f(x, y) = x² - 2xy + 4y on the…

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Q: (c) (x + 1)dy = dx Oseparable exact O linear in x O linear in y = -y + 15 homogeneous Bernoulli in x…

A: Differential equations

Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Suppose fe Cla,b] and f'(x) exists on (a,b). Show that if f'(x)0 for all x in (a, b), then there can…

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Q: (1+x)*dx X

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Q: B)Solve the differential equation = x - y. dx

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y (4, 3) C = 4 X 4…

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Q: Find a basis for the null space of A = [³3 -3 1 2 -1 -2 4.

A: The given matrix: A=3121-3-1-2-1.We need to find a basis for the null space of A.

Q: Using calculus, find the absolute maximum and absolute minimum of the function f (x) = 6x² − 36x + 2…

A: We want to find absolute minimum and maximum .

Q: Find the indicated derivative and simplify. -[9x log x6] dx [9x log x] = 9x1 dx

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Q: A company can produce LCD digital alarm clocks at a cost of $6 each while fixed costs are $50.…

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Q: Use the Chain Rule to differentiate the following function. f(x) = (3x² + (4x-5)4)7 f'(x) =

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Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

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Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

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Q: f sec¹ x dx

A: Integrate the integral sec7x .

Q: * Parallel lines have the slope (m1x m2 )= -1 true False

A: I am attaching image so that you understand each and every step.

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: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n!

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Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: [ (cosx+2sinx) COSX dx

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O False O

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Q: Find y' if y= y' = x5-4x²+4 2 X

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Q: 12 = (x³ - 25x) at the point (5,0). Find an equation for the tangent line to the graph of y= The…

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Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,1] with a…

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Q: 3. Determine whether the function is continuous at r = 5. 2²-42-5 2-5 x 5 D

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Q: Rewrite the given function with a rational exponent. 7|X 8 = y In X + 8 = In x + 1 || In x + 00 8 00

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Q: 1.  Create a system of linear equations with three equations and three unknowns.     Solve the…

A: The objective is to solve the above question.

Q: For the vectors u = (3, 2, 1) and v = (1, 2, 0), evaluate the following expressions. a. 2u+ 4v b. 4u…

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Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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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: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

Q: 1 A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is…

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Q: -0.51-2-5)dy represents the area of a region bounded by O a. the curve x = 12, the line x = 5, and…

A: We have to choose the correct option