Describe the surface of 4z2 – 4x² – y = 4 - |

Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: Find the derivative as indicated: 1) y = 3 cos x + 2 sin x ; find y' %3D 2) f(t) t sint ; find f'()

A: Given: 1: y=3cosx+2sinx2: f(t)=t sint   To Find: 1: y'2:f'(3π2)    

Q: An object moves along the a-axis, its position at each time t > 0 is given by æ(t) = t" 3 4 +t. Dete...

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Q: A burn on a person's skin is of the form of a circular region. It was found out that the burn increa...

A: Given: - A burn on a person's skin is of the form of a circular region. It was found out that the bu...

Q: V-x – 2 – V3 te lim x--5 -x - 5

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Q: For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of water a...

A: Given information: 2.5m=Minimum depth of water for a boat to floatdt=the depth as function of time a...

Q: Please answer the question below: 1.) Explain why the integral below is an improper integral and wha...

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Q: 4. Given that r(t) = cos ti + sin tj + In cos tk Find the curvature k and vec- tors T, N, B at the g...

A: Find curvature at t=1

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: find mayium. heisht hit)--2+ +8+ t19 which OF descibes LOX 15X5 +3Y-200 the Pollonins accurately He ...

A: We have to find the maximum height using the differenciation

Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr.

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Q: A trough is 50 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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Q: JUIR tO JusLily your aASWers. Witë your solutions properly, heatly, and carefully answers as much as...

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Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0...

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through ori...

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

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Q: y? 1. 2. Consider the equation In ry (i) Show that (r, y) = (1,1) is a solution to this equation. dy...

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Q: Consider the region R bounded between y=x2-4x and y=-x2+2x  Set up an integral for the area of the r...

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Q: Evaluate f w?sin(10w)dw using integration by parts W

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Q: The population of a country was 30 million in 1986 and the growth rate was estimated at 2.4% per yea...

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Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

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Q: 46. Let the assumed particular solution for the given DE be y, = (Ar³ + Bx² + Cx)e* + E. What is the...

A: A detailed solution is given below.

Q: Use a finite sum to estimate the average value of f(x)=x* on [0,2] by partitioning the interval into...

A: To evaluate the f at the subinterval midpoint

Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),...

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3, 1...

Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do...

A: Let's find. 

Q: Find the area of the cardioid r = 2(1+ cos 0). Α. 2π В. 47 С. D. 67 E. none of the above

A: Given r= 2.(1+cos@) To find area of cardioid

Q: Given the graph of f(x) below, which of the following limits exist? o a lim, s f(z) O b. lim,, 3S(z)...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: This question can be solved by using the concept of finding the slope of tangent at the given point ...

Q: Evaluate lim -2x csc (-5x).

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Q: '2 x(2-х x(2-x)99dx : - = xp66

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Q: Consider the integral arctan(x)dx where -Is. a<bs I. Making the substitution u=-2x , determine the d...

A: We have to find new function and upper bound

Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: Find the​ curve's unit tangent vector.​ Also, find the length of the indicated portion of the curve.

A: Given that      r(t) = 6t3i + 2t3j + 3t3k  , 1&lt;=t&lt;=2 

Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

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Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then di...

Q: Find B and τ for the space curve below.

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Q: 12

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Q: A point (5, 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/26 ...

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Q: For the function (1- x if x 1 evaluate the limit lim f(x). メー1 (If a limit does not exist, enter Ø ...

A: This question is based on Limits calculation of a function.

Q: Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1...

A: Given function hx=1+x2   if x≠06          if x=0To find  : point of discontinuitylimx→0+hx=limx→0+ 1...

Q: Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bd...

A: In order to find the critical point first we need to partially differentiate with  respect to 'x' an...

Q: get

A: We will find the rate of change of value. 

Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercia...

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 5.7 and B = 5.3 0 1.6 -2.34 A = \ 44.9...

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Q: Determine the convergence or divergence of the series. 1 a) E п+3 n=1 1 b) E 2" n=1

A: topic -  series convergence and divergence test  

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

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Q: 16

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Q: Find an arc length parameterization of the given two-dimensional curve and give the corresponding ve...

A: Given problem:- Find an arc length parameterization of the given two-dimensional curve and give the ...

Q: The volume of a right circular cone of radius a and height y is given by V : ' = ma²y. Suppose that ...

A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the...

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 6 x-intercepts...

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