x(z+ 2y)100 = yz – x; Zy and xz.

Q: If R is the region enclosed by 100 – 4x2 - 4y2 = 0 and 9x2 + 9y2 - 36 = 0, then which of the…

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Q: Given that A = (1,0,2) and B = (6, -2,3), solve for projąB.

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Q: dx If x2 – 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: find S- とx 1-COS2X

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Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: initel Vehue Poblem =のラx X(ころ) (三

A: Given query is to find the solution of differential equation.

Q: sin dx. Use trigonometric groups- 4. cos

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Q: : Write step by step solutions and justify your answers. 1).- ! Solve the following Initial Value…

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Q: In7 Change the Cartesian integral dx dy into an equivalent polar integral. Then evaluate the polar…

A: Put x=rcosthetha and y=rsinthetha

Q: completing the square, show that r1/2 da 2² – r+1 3/3

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Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x6…

A: For critical numbers, Put g'(x) = 0 and solve for x.

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

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Q: Prove the product rule of differentiation.  That is prove that if p(x)= f(x) g(x), where  f(x) and…

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Q: Consider J sin'x cos²x dx. If we let "=cos x , the integrand can be transformed to. A 2u2 - - | (u²-…

A: The given integral,     ∫sin5x cos2x dx

Q: 0.2 0.4 0.6 0.6 1 f(x) 32 24 12 8. 10

A: Here we have to compute L5 using the given values.

Q: dr Evaluate: EV9 + 4 A f (x) = = - 9r² + 4+2 +C 3x B f (x) = -4 ln 9x² + 4+ 2 +C 3x ©f(r) = -2 In…

A: A detailed solution is given below

Q: У(2 — 2х)100 — у — хz; ху and yz.

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Q: Consider the initial value problem y'(t) = t² - 3y, y(3) = 1. What is the approximation to y(3.1)…

A: Here we have to use the Euler's method.

Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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Q: Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral…

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Q: az Find and for each of the following functions. ax ду a. z = x²y+ b. z = (x* + x²)y³ c. z = yzsin…

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Q: Find any relative extrema of the function. Use a graphing utility to confirm your results. (Order…

A: f(x)=sinx sinhx-cosx coshxf'(x)=sinx coshx+sinhx cosx-cosx sinhx+coshx (-sinx)f'(x)=sinx coshx+sinhx…

Q: S tan?x secs x dx 1 х + Ос none of the choices 1 -sec"x + sec*x + C + C O A B.

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Q: x2 sin 2x dx 2.1

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Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: Use logarithmic differentiation to find dy/dx. y = Xx2 + 35 X>0 dy dx II

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Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: 5xy = 4x?z – 3yz?; yx and yz. -

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Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

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Q: 2. S tan*, dr 2

A: (2). Given: I=∫tan4r2dr   ....(1)   As we know from the trigonometric identity; sec2x=tan2x+1 The…

Q: 100 10) y = 2 + 9e-3x

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Q: B. f is not continuous at x =a C. f has a relative maximum at x = a D. f is continuous but not…

A: Here, we have given a function now we have to calculate the points where the function has point of…

Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

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Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

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Q: Find the area of the region bounded by y = 4(x + 2), x = 2 and the x-axis. Answer:

A: Given query is to find the area bounded by the curves.

Q: Find the producers' surplus at a price level of $15 for the price-supply equation p=S(x)=6+0.01x2…

A: We have to find the producers' surplus.

Q: NAME: 1. Decide (with proof) convergence or divergence of the series .(d), find the exact sum. 1)…

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Q: Prove the identity. 1 + tanh(x) – e2x 1 - tanh(x) 1 + cosh(x) 1 + tanh(x) 1- tanh(x) 1 - cosh(x)…

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Q: S x² +x+1 dx. 2 +2+x³+x 3. 2x

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Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: •4 b (3x – 4)° dx = || f(u) du where (enter a function of x) = n dx (enter a function of x) — пр a =…

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Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p=D(x)=50−0.6x…

A: Given:   D(x)=50−0.6x    p = price      x = demand

Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: Evaluate the indefinite integral

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Q: x² xp a) Integration Process b) Antiderivative c) Substitution of limits d) Computod Analycis of…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim +00\ 5t2 + 6' 6t (?, ?)…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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