Find of, af , for f(x, y) = log₂ (3г² - +y)

Q: √x²=1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

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

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Q: Find the general conic form. The final answer should look something like this x^2+4y^2-64y=-156

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1, y = 0, and x = 2…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A: Follow the procedure given below.

Q: Solve the improper integral and determine if it is convergent and divergent 9 √2 (1-32), dz Oa .…

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Q: 81-2 da Evaluate the integral: √√81 (A) Which trig substitution is correct for this integral? Ox = 9…

A: Solve the following

Q: Determine the derivative of the follow of paper, assuming that it is differen 5. x+y³ = 2c(xy4)

A: x+y^3=2c(x y^4) differnetiatiate with respect to x

Q: Suppose that 3x² - y² = 1² and y=tsin 0. Find (3). = sin 0 y (1) ¹ (2) and (2) 0 X X

A: Let's find partial derivative of given two equation.

Q: 2. Evaluate the following by changing the order of integration: L' L 40² a dx dy. 2y

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Q: π 3π The region bounded by y = cos x - 1 and the x-axis in the interval is revolved about the line x…

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Q: 14) (x + 2)² + (x − 1)² = 2 = 1 4 64

A: Find the general conic form of the equation  (x+2)2/4 +(y-1)2/64 = 1

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

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Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 25 bushels of fruit. She…

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Q: f (x² + 1)(x³ + 3x)² dx

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: art 1: Evaluate the following linear equation for the given alues. - 2x - 4 -3 -2 3 5 art 2: Graph…

A: Given, y = -2x -4

Q: Q2, 2) State both the triangle inequality and Cauchy-Schwartz inequality in SIMPLE AND CONCISE AND…

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Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: The area of a circle of radius a can be found by the following integral a. f (a²-x²) dx √a²-x²dx O…

A: Given

Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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Q: 2. Consider the vector-valued function R(t): Show that is continuous at t = 1. 1-t² Į (₁²-1₁…

A: Consider the vector‐valued functionR→t=e1-t, 1-t21-t3, ln2-t,  if -1<t<1t, 0,  t-1, if t≥1to…

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Find the total length of the cable. L = 2y + 3√² +6² + constant Differentiate both sides.

A: the solution next step..

Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

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Q: If cos(0 - π/2) 0.54, find sin(- 0)

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

A: Solved below

Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: 1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

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Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: 7- Deteremin all Max and min value of y= xe* +3e³

A: Given that  function   y = xex + 3e3         ........……........(1) Now  differentiate eq. (1) w.r.t.…

Q: Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width…

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Q: The demand for a certain type of cosmetic is given by p= 160-x, where p is the price in dollars when…

A: (a) Given that, the price demand function is p=160-x. Obtain the revenue function.…

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: Here to find the velocity and speed we have to derivate the function s=f(t).

Q: Find the area of the plane region, 0≤x≤ π²-4 S.U. 4 1.111 s.u. 1 s.u. 2 S.U. bounded by y=sin X. X =…

A: This question can be solved using the concept of area under curves.

Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: .729 dx S == Sºf(v)dy, find f(y). 64 √√x-3√x Using Rationalizing Substitution 6y² +6y+6+y-1…

A: Given:-∫64729dxx-x3dxsubstitute  x=y6 differentiate both sidesdx=6y5dychange the limitx=64,…

Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ bounded by y=sin…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Let's find arc length of given two  parametric equations on interval [0,1].

Q: Let f (a, b, c) = cos (ab) + sin (b) + c where f Evaluate af да 73,7) Option 4 Option 1 π 24√3 T|3…

A: Please see the below picture for detailed solution. None of the given options is correct.

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: 4. Dada la ecuación+²+ = 1 36 a. Identifique la gráfica b. Complete la siguiente tabla: Valores…

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Q: A tank is in the form of a rectangular parallelepiped 5-ft deep, 15-ft wide, and 25-ft long. It is…

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Q: (1) Determine what comes next in the given pattern and provide solution/explanation: -7,2, 11, 20,.

A: The given pattern,-7,2,11,20,....

Q: Л(-чу +12)(туне)dy

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Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…