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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That ...

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

Q: he population of Toledo, Ohio was approximately 500,000 in 2000. Assume the population is increasing...

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Q: After coming back from the sets of “Nailed it!" Jacques decided to bake a pyramid shaped gradient ch...

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Q: f(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = g(x) y 6 4 ...

A: topic - functions and derivatives

Q: Consider the following initial-value problem. y" - 5y' = 8et - 4e¬t, y(0) = 1, y'(0) = -1 Find L{f(t...

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Q: If f(x) = (t3 + 3t2 + 4) dt then f"(x):

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Q: (a) Find the linearization of the function f(x) =x+ at x= a=1

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Q: Find an equation of the tangent line to the curve at the given point. y = x + sin(x), (1, n)

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: To co.pute the rate at which angle is changing when the bottom of ladder is 8 ft away from wall

Q: A. 1. Which of the following represents a function? a. A = {(2, -3), (1, 0), (0, 0), (-1, -1)} b. B=...

A: As per our guideline we are supposed to answer only first four subpart of a multiple subpart type qu...

Q: The intensity I of heat varies directly as the strength of the source and inversely as the square of...

A: Shown below

Q: x^2yy'=e^y

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Q: The graph of h (¤) is shown here. Each portion of h (x) is part of a line or part of a circle. We wi...

A: Given that: Graph of h(x)

Q: 3 f(x) :

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Q: (b) Find the conjugate, argument and modulus of the complex number Z =1+i3

A: Recall: If z= x+iy , then (i) Modulus of z , z=x2+y2(ii)Conjugate of z is z¯ =x-iy(iii) Argument = t...

Q: Use an appropriate form of the chain rule to find dz dz and du dv 1 z = e"u; x = Vuv, Enter your ans...

A: Here z is function of x,y and x,y are themselves functions of u,v .so z is composite function of u,v...

Q: dy 5. dx — ху + хе**

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Q: Consider the function. f(x, y) = 17 - X 3 2 - Find Duf(2, 5), where u = cos(e)i + sin(0)j. (a) 4 Duf...

A: Explanation of the answer is as follows

Q: ) Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional ...

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Q: The radius of the largest sphere with center (29,330,290) that is contained in the first octant is e...

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Q: For f(x) = x2, find dy using the definition, dx dy = lim dx Ду f(x+ Ax) - f(x) lim Ax→0 Ax Ax→0 Ax (...

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Q: Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of i...

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Q: 4. We have 45 square meters of material to make box with square base and no top. We want the maximum...

A: For the solution of the problem follow the next steps.

Q: yot _ y = x³ +x b) x²y +2ry² =x + y c) tan(x²y) = x + y

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Q: Consider the function f(x, y) = 8x? – 5y? + 4xy over the unit square 0 <x < 1, 0 < y < 1. NOTE: Ente...

A: Please consider the handwritten solution.  

Q: 5. A 300 kg communication satellite is in low-orbit altitude about 200 km above the Earth’s surface....

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Q: 1. Evaluate each limit, if it exists. tan e cos 20 7. lim sin 20 8. lim 8/2 tane 1-cosy 9. lim y-0 s...

A: To find:-  

Q: use the table of values to calculate the derivative of the function at the given point. 4 S(x) s'(x)...

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Q: Homogenous equations y? dx – (2x? + 3xy) dy = 0 (Final answer should be in terms of y)

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Q: x = e-7t and y = 6e2t + e-3t – 4t

A: We need to find dy/dt and dx/dt .

Q: 3. A simple harmonic oscillator makes 25 complete vibrations after 5.0 seconds. Determine its (a) pe...

A: We know that , Period of motion(T)= Total time/No of complete vibrations Frequency(f)=1/T  Angular f...

Q: Find Duf at P. 3 f (x, y) = sin(5x – y); P(1,5); u=- 4 NOTE: Enter the exact answer. Duf =

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Q: Find the absolute extreme values of the function f(x, y, z) = 5x + 2y + 2z subject to the constraint...

A:  by lagrange multiplier method we find maximum and minimum value of function..

Q: 4. A harmonic oscillator is made of an ideal spring with an unknown spring constant. Attached to the...

A: GIVEN: Mass, m = 500 g = 0.5 kg Time period, T = 0.25 sec

Q: 1. Consider the van der Waals equation (1) a (p+ v2) (Vm – b) – RT = 0 V2 т where p, Vm, T, are, res...

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Q: 2 3. x = 1+ cos t, y = sin't

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Q: Sketch the graph of a function y = f(x) with all of the following properties: a) f ′(x) > 0 for −2 ≤...

A: Given that a function y=f(x) with all of the following properties  a) f ′(x) &gt; 0 for −2 ≤ x &lt; ...

Q: Solve the given differential equation. y' + y = y¯2 Oy - 3 Y = 1 + ce – 3x | -3 Oy = 1 + ce° 3x -3x ...

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Q: Let f(x) = x + 3x? – 9x + 2. %3D Use the definition of a derivative or the derivative rules to find ...

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Q: Find the equation. The height is 50 feet and the base width is 30 feet. Use the x-axis as the base

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Q: Linear Differential Equation: dy 1. Solve dx = 1+ 3y tan . 2. Solve ydx – (eY + 2xy – 2x) dy = 0. -

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Q: cos(T+ tan 1 /2x)

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the near...

A: topic - vectors

Q: хау — (4x2 — 2у)dх %3D 0

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Q: Determine the singular points of the given differential equation. Classiry each singular point as re...

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Q: Given f(x) 3x Find the following: %3D x – 1 a) f-(x)(2 pts.) b) (fof-!)(0.5) ( 1pt.)

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Q: Find f(x) and g(x) such that h(x) = (f • g)(x) a. h(x) = V5x – 2 b. h(x) = 19x² – 4| c. h(x) = tan -...

A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts of thi...

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west a...

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Q: C. Determine the points where the given function is not defined and is therefore not continuous. For...

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