v (2uv²-3) du + (3u²v² - 3+4v)dv = 0 Ov(u²v² +3u + 2v) = c 2 Ov(u²v² +3u-2v) = c Ov(u²v²-3u-2v) = c Ov(u²v² - 3u + 2v) = c

Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

Q: In spherical coordinates, the integral •√√4-x²-y² IMM x² /4-22 None of these. 2π *π/2 2 S √²* [*¹²*…

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Q: x-1 x² + 5x + 8 S dx

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Q: Electric usage over the course of a day varies. The graph shown is of electricity costs per hour.…

A: Use average concept

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: VI. Determine the instantaneous rate of change of the function √x sin (³) In 2 = = [X² f(x): dt 1 +…

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Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

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Q: Evaluate the following limit, if it exists: lim x->1 = x2 + 4x - 5 / x-1

A: This question can be solved using the concept of limits.

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: hat is the concave up and concave down?

A: In terms of the second derivative Concave Up, Concave Down, Points of Inflection,  The graph of y =…

Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given two functions F and G, we say that F is an antiderivative of G when O F'(x) = G(x) for all a…

A: Above two questions are answered.

Q: The following differential equation is a Bernoulli equation: 2 dy = y³ where y = f(t) dt t By making…

A: To convert into linear differential equation.

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: 3. Solve the differential equation of order one.  y' = csc x - ycot x STEPS: a. Put the equation…

A: Integrating factor of a differential equation of the form, dy/dx +P(x)y=Q(x) is given by, I.F=…

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

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A: We need to setup integral.

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Q: If y₁(x)=e³x and y₂(x)=xe³* are solutions to y" - 6y' +9y = 0, what is the general solution?

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Q: Evaluate the double integral: y LL (Hint: Change the order of integration to dy dx.) dx dy.

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Q: 3. S. 3*sech³ (3³) 1+tanh (3*) -dx

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Q: Evaluate the integral: 9x - 5 S dx 9x² 18x + 13 —

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Q: find the area the of region i) sketch the area, ii) Determine the boundaries ii) retup the definite…

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Q: company

A: Please refer to the image below

Q: Evaluate ¹ dx √√9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: 1 sinh x cosh3 x √9-cosh² x dx

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Q: 3. -3 √₁|2 - 2³ | dr da 0

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Q: To find the distance across a river, a surveyor chooses points A and B. which are x 450 ft apart on…

A: Consider

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Q: 1. S 2 cos xsinx V2+cosx -dx

A: The answer is given below:

Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

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Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: We have to find the marginal profit.

Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

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Q: handwritten. Please skip

A: We assume inf B is the greatest lower bounded of B which means that it is lower bound : inf B ≤x…

Q: Evaluate the following definite integrals using the Fundamental Theorem of Calculus:

A: The given two integrals are:a∫-552xx2+2dxb∫01x3+1x+1dxFundamental Theorem of Calculus says:If Fx is…

Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: In a frequency table, the upper boundary of each class interval has a constant ratio to the lower…

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Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

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Q: Find the average value of f(x) = -3√x+ 5x over the interval [0, 3]. Submit an exact answer using…

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Q: 1 So 2t en + e-2t ezt - e-at dt

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Q: 2. 0 sec³ x tan x √2+ sec x dx

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Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

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