F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

Q: ( 2 + x², -2 < x< 0 4 1. f(x)dx; f(x) = 5x + 2, 2 0 <x< 4 -2

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Q: Use the Laplace transform to solve the given initial-value problem. dy -y = 1, y(0) = 0 dt y(t) = %3...

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A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

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Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

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Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .

Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

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Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: If the second derivative of the equation of a curve is equal to the negative of the equation of the ...

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Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

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Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...

A: Each corner square has side 'x' Length of the box = 19-2x Width of the box  = 11-2x Height of the bo...

Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: Write the standard form of the quadratic function that has the indicated vertex and whose graph pass...

A: We will use the concept of standard form of parabola as a quadratic function to solve this problem.

Q: Using the integration bay parts formula with u = x², dv = cos x dx, the integral x* cos x dx becomes...

A: Given u=x2   &amp; dv=cosx dx∫x2 cosx dx  

Q: Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x ...

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Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:       ...

Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: yi + yi = 1, when x = 0, y = 4 %3D

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Q: The height​ (feet) of an object launched in the air t seconds after launch is given by s=−16t2+48t+9...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

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Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

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Q: sinh(5) = (A) 5 + v26 (B) In(5 + v24) (C) In(5 + v26) (D) e-e-5 (E) 5 2

A: Find your answer below 

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) ...

A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→a+f(x)

Q: Evaluate the following integrals |(6V - x-3)°dx

A: The integration of the integral is (6√x - x-3)2

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: Given cost and price (demand) functions C(q) = 110q + 42,000 and p(g) = - 1.9q + 860, What price sho...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the demand func...

Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: x3dx 3. S (x4+4 )4

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Q: - y = (2x² – 4x + 1)60

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: • TT 2. sin? cos' –dx 2

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Q: Write TRUE if the statement is correct, otherwise, write FALSE. If your answer is false, provide a c...

A: To answer the given question about continuity and differentiability.

Q: 3. tan(xy) + xy = 0

A: Since, the student has clearly mentioned to solve question number (3), so we are solving only questi...

Q: 1. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above th...

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Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

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Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the appropri...

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: (x +1)' sin x (c) lim 2х X-0 sin x lim -0 5Jx (d) 20? +sin O lim (e) 40 6x-sin 2.x lim- X-0 2x +3sin...

A: We evaluate the given limits in the following.