Direction: Eliminate the following arbitrary constants to obtain the DE. 2. у — С1 3D С2е -4х 2. у — С1 — С2е |

Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

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Q: Find the maximum value of the function f(x) = x³ -9x2 + 15x - 5. Answer: Find the value of x for…

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…

Q: Several statements about a differentiable, invertible function f(r) and its inverse f-(z) are…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Your professor said that this cannot be solved using Power or Logarithm Formula alone. Other formula…

A: The general form of integrand to apply power formula∫fxndx = fxn+1n+1 + CIn the given problem,…

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Use cylindrical coordinates to calculate the triple integral w S(x, y, z) dV for the function f(x,…

A: To evaluate: ∫∫∫wf(x,y,z)dV=∫∫∫1784zx2+y2dV Here, the region of integration is x2+y2≤z≤28-x2+y2…

Q: y dy J 725 – 16y 2.

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Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

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Q: x² – 16 Evaluate lim x4 2- Vx O -32 None of these 1 O 32 O does not exist

A: Given  Lt   x²-16/(2- √x)        x->4

Q: The equation of the line tangent to the differentiable and invertible function f(x) at the point (5,…

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Q: Sie cos e sin 20 de t/3 T/6

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Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: f(x + Ax) - f(x) Find lim Ax-0 Ax f(x) = 3x- 9x %3D Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: .2 xdx Evaluate (x²-2)5

A: Use simple integration formula.

Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: AVERAGE VALUE OF THE FUNCTION QUESTIONS PT. II A. y = 3cos(x)-5, [--pi, pi] B. y = 3ex + 4, [0, 3]…

A: We need to find average vale.

Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

Q: EXACT VALUE OF C IN INTERVALS QUESTIONS (such that f(c) = fave) A. 3x2+2x - 4, [-2, 4]  B. 5cos(x)…

A: As per our guidelines we are supposed to answer 3 sub-parts , kindly repost the remaining part as…

Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

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Q: A hollow cylindrical metallic pipe is open at both ends and its external diameter is 12 cm. If the…

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Evaluate the integral where D is the region bounded by y = x, y = 2, and r = 0. Hint: One order is…

A: We will solve this question by changing the order of Integration.

Q: 9/ Evaluate (cos* 0 – sin* 0)de T/12

A: Note that: cos4θ-sin4θ=(cos2θ-sin2θ)(cos2θ+sin2θ)=(cos 2θ)(1)=cos 2θ

Q: d the sum of the critical numbers of f(x) = 3x4-4x3 +2. %3D ISwer.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The two sides of a triangle are of lengths 300m and 150m, and the angle opposite the 150m-side is 26…

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Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: J arctan x dx A C In(x2) + C In(x² + 1) + C x arctanx x arctan X - | 1. x arctan x +- In(x2) + C x…

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Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: Five equations are written below. Fill in the missing expression for each equation - - a" In a. (*)'…

A: The given are missing with derivative formulas, we have to find it.

Q: dx V3+2x-x2 10.

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Q: (3 - 2 3 – 4cos dx

A: The given integration,     ∫3-4cosxπ2 dx

Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

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Q: Arectangular bin 4 feet long. 3 feet wide, and 2 feet high is solidly packed with bricks whose…

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Q: T/6 Evaluate 12(cos* 0 – sin* 0)d0

A: In order to solve this we need to split the terms accordingly.

Q: Find an equation of the tangent line to the graph of f(x) = xe−x at its inflection point.

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Q: s the volume of the frustum of a cone whose upper base is 16 cm in er, lower base 10 cmin diameter,…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 1 EVA LUATE ECs) OF THE DIFF ARD 4(0)-0. dy dt² dt

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Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

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Q: Direction: Find the differential equation of the family of curves described. 5. Circles with fixed…

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