1. %3D X sin y - y cos x = C

Q: VARIATION OF PARAMETERS 1. (D^2+1)y= sec tanx

A: We have to solve by variation of parameters.

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A: The length of the ladder is 7.5 meters and the top is sliding down the wallat a rate of 0.4 m/s.

Q: ve the formula for the specified value. Pn = L +  si f; f

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Q: In site investigation the boreholes reveal soil to be contaminating. The velocity of reaction was…

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Q: Evaluate using integration by parts. 1 5x e 8K dx 1 5x e 8x dx = (Simplify your answer. Type an…

A: Explanation: Given that,  ∫015xe8xdx   Now we will take the constant out  5∫01xe8xdx Now substitute…

Q: f(x) = 3 x6 e-4 x* with respect to x. f '(x) = 18x^5 e Submit Answer Incorrect. Tries 1/8 Previous…

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Q: timate the minimum number of subintervals to approximate the value of (4x +8) dx with an error of…

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Q: e average rate of change of f(x) = 6x² - 2 on the interval [5, a]. (Your answer will be an ion…

A: Given query is to find the average rate of change for the function.

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: We have to find the integral.

Q: ticular solution of s(t). From the initial point(t=0): S=20 ft V=0

A: In this question we will use basic of calculus i.e formation of an expression.  First we will draw…

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: I. INSTRUCTION: Select the correct answer for each of the following questions. 1. In the equation: S…

A: Let's find the solution of given questions.

Q: 1. The power P required to propel a ship of length / moving a velocity V is given by P= KV`ť', where…

A: Topic- Application of Derivative

Q: 1. x sin y-y cos x = C

A: Topic - differential equations

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: 1. The lateral surface area of a circular cylinder is A = 2n Rh , where A is the lateral surface…

A: Given that Radius of a face of a cylinder R = 4.35 cm, Height of the cylinder h = 8.20 cm,…

Q: 12. S 2°Y dy

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Q: The height of an arch above the ground is given by the function y = 10 cos x for - 5 SXS5. What is…

A: The height of an arch above the ground is given by the function y=cosx for -π2≤x≤π2. What is the…

Q: S 3x(10x³ – 2x)dx Rewrite

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Q: 15. A remote-controlled train begins moving at t = 0 seconds. Its velocity (in ft/sec) is given by…

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Q: e Question 1 Evaluate dx. 4 + e6x Question 2 Evaluate ?V3x +2 dax. x3 dx. x + 3 Question 3 Evaluate

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Q: pasition to find Salution. accurate to within to". X- COSX =0

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: USING NEW Ton RAPHSON THE VALUE DELE RMINE 1o 0.04 ACCURATE 0.800. ME THOD DF NEAR 10 4. DECIMAL to…

A: Calculate the first derivative of y.

Q: 13. The area A of a triangle is given by A =;ac sin B, where B is the angle between sides a and c.…

A: The function for the area of triangle is given by A=12acsinB

Q: S²S 1/2 The numerical value of 2e dxdy is equal to

A: Solve the following

Q: dx 14. Evaluate: S 9x2-25 A. -cot A-+C 8.coth+ C c.tanh- + C 3x А. 15 15 D.긁미3x-5| +C 15 30

A: We will solve the problem.

Q: Can i get help step by step?

A: To evaluate the given integral.

Q: 5. Solve for x. Round off to two decimal places. (Just type the value.) In Vx +3 = 1

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Q: 3x+e Find the exact value of dx. (x+e)(x+3e) Select the correct answer below: O 4 In(8) – In(2) O 4…

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Q: The tube cross-section shown has inner radius of 3 cm and outer radius 6 cm and within the tube…

A: This question is about application of derivative

Q: [1 0 e (A 3 1 0 lo o 1l 0 0} 3 1 0 0 1] 1 [0 1 0 li [1 0 07 0 3 0 Lo

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Q: 2 g(x) -1 3 5 7 -1 alculate g(x) dx . Round your answer to two decimal places. 3.

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Q: Variable Separable and Homogenoue D.E -x + x? - x - Sin? dy (3x-4x? - っ) cosydx

A: We will find out the required general solution.

Q: 1. The area A of a triangle is given by A=-xy sin 0 , where x and y are the length of two sides and…

A: Given: A=12xysinθ, x=40ft, y=8ft, θ=π4 The rate of change of A with respect to x is given by dAdx…

Q: 6.) value of sec o if tan o = - and o is quadrant II )3y +1<ytS whait is the integral Valne of y

A: Question no. 8,Given,            tanθ=-53 and θ is in quadrant II.To find : secθ

Q: The radius of a circle increases at a rate of 2 m/s. Find the rate at which the area of the circle…

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Q: .cost x - sin* x = cos 2x : a Wáillánp Eu /3ew

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Q: y'-x?y=0 por series

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A: We will solve the following.

Q: 14 Approximate (x - 4) dx using 4 rectangles. 2 It is approximatley. (If necessary, round ts two…

A: Solution

Q: Pollution levels in a lake have been modeled by x = 0.08 + 0.17e-0.38t where x is the volume of…

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Q: 7 cosx+2 cos x Find the most general antiderivative of (x)= COS

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Q: 3) S 7x 4 dx Find the intergral. 4) S 125 dx X

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Q: f (x) = ln x, g(x) = Vx is increasing at the greater rate for "large" values of x? 1. f(x) 2. g(x)…

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Q: Si f(x) dx represents the signed area between the curve y = f (x) and the x-axis between x = a and x…

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Q: 1. The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = x/x…

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: d) The kinetic energy (E) of an object is given by E = }mv² where m is the object's mass and v is…

A: The problems related to proportionality can be solved by taking the ratio of the values obtained.…

Q: [1+ytan(xy)] dx+x tan(xy)dy = 0

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Q: In the lesson Numerical Integration, use the Trapezoidal Rule to estimat of such given integral and…

A: The given integration is: