Find dy/dx by implicit differentiation. 12Vxy +4xyVxy –y dy/dx %D x – 2x²Vxy

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: dy 1. -2x tan y, y(0) = 7/2. dx

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Q: |+ 3t -dt 11t Simplify the integrand by dividing eac .5 |+ 3t -dt = 11t |dt Type an exact answer.)

A: Given:∫1+3t511tdt

Q: | 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

A: Given: I=∫∫R4x3cosydA and Rx,y: 1≤x≤2, 0≤y≤π2   As we know that; ∬dA=∬dxdy or ∬dydx And The Power…

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: Use n= 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: The given integral is 5/x2 limit from 1 to 4.

Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2*)+ 2…

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Q: lim,[-6(x - sin' x)( cscx)] CSC X

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: Consider the paints A (-2,3.1), B(0,0.2) and C (-1,5.-2). (1.) Find a vector of length T in the…

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A: We will solve the integration.

Q: 3- Jッ 2X e dy + 2 (y ē -x) dx =0. dy よx 4- Sinx + cosx y = tan x

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Q: Use substitution to find the indefinite integral. 6 10(1

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Q: whe'eh -2X Ge -8e ntural exponentioel funebon/ show all steps

A: This can be solved as follows:

Q: Suppose that it is given to you that f'(x) = (x + 4)(6 – æ)(x – 9) Then the first local extremum…

A: We have to find the extremum of the following function.

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

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Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n- is even, then n is even.

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Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: The rectangular coordinates of the point Pare (V3,-1, 2). In the cylindrical coordinates of P the…

A: Given

Q: Vnx" 00 3" n=0

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Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: 2. Detemine if the ollowing integral converges or diverges. If the integral converges, find its…

A: Given problem:- Determine if the following integral converges or diverges. If the integral…

Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given

Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: 4) Evaluate each integral using the indicated substitution |(2x+7)(x² +7x +3)*5 dx; u=x² +7x+ 3

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Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: At t = 0 the tank was empty. (3.9) (s.9) .(12,9) gal min 7 10 min (9,-4) How many gallons were in…

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Q: Question 3 Vx2 + 4dx 2²+4 Vx² + 4+ 2 In + C ava? + 4 +2 ln + C eva? +4 – 2 ln +C -글av고 +4-2n +C «…

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Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: dx sinx+cosx

A: Follow the procedure given below.

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

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Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: The detailed solution is given below Thank you

Q: 2X 3- dy + 2 (9e-x) dx = o e SinX dy + Cosx y tan x 4-

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Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: "ou MUST answer question # 1. Then, choose Ol Use mathematical induction to prove the form…

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Q: Given the Folowing condition r give an example and explain your an swer. 8 00 a. bn is convergent…

A: p-series Test : ∑n=1∞1np is convergent if p>1 and divergent if p≤1.

Q: csc x (cos? x – 1) dx

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Q: Cassandra has the following information about f(x) and g(x): f(æ) = x →4 - 4, lim g(x) = 6. x →4 lim…

A: This is a problem related to limit. Based on the limit properties we will answer the question. As…

Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: 2-the region bounded by y= .the x - axis.x = 2 and x = 3 is revolved about the y-axis find the…

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Q: nd the directional derivative of the function f(z, Y) In(z +y) at the point (3, – 1) in the rection…

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Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

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Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: This question can be solved using the concept of graphs and derivatives.

Q: QI: A) Solve the following initial-value problem: x e* dx + (y- 1)dy = 0; y(0) = 0 %3D B) Solve the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method