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Q: Find the first partial derivatives with respect to x, y, and z. 3xz W = x + y aw ax aw ду dw az

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Q: (y – 2)dx = (y – 3x)dy

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Q: Evaluate F. dr- F(x, y) = 3xi + 8yj C: r(t) = ti + V4 - t°j, -2 st s2

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Q: The family is planning to install a Japanese-themed dining area with tatami mats. The length of the ...

A: Given that, the length of the rectangular table is 4 feet more than its width.  The width of the tat...

Q: Classify the following differential equations as separable, homogeneous, parallel line, or exact. Ex...

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Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -2 2 5 6.

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Q: 8. For the following rational function, find all asymptotes (horizontal, vertical, slant), removable...

A: Given,            f(x) = 2x2 - 8x + 6x2 - 4x - 5 

Q: 2. y' %3D х- Зу

A: The objective is to determine the integrating factors  of the following differential equation and so...

Q: Find indicated nh order partial derivative: am+nu 3. əxməyn if u= (x² + y²)e**y

A: Given: u=x2+y2ex+y Used formulas: ddxxn=nxn-1ddxconstant=0ddxex=exddxCfx=Cddxfx                C is ...

Q: Find f and f, and evaluate each at the given point. f(x, y) = arctan ) (8,-8) ,(x, y) = x, ) = f,(8,...

A: The objective is to find the given partial derivatives.

Q: Find dy/dx if f(x) = csc(x) Find dy/dx if f(x) = cosvE Find dy/dx if f (x) = csc (x³ + x+ 1)

A: f(x)=csc x it can be written asf(x)=1sin xsin2x+cos2x=1 so we write f(x) as  f(x)=sin2x+cos2xsin x f...

Q: A tank contains 1,000 gal of brine in which 500 lb of salt are dissolved. Fresh water runs into the ...

A: Form the first order differential equation and solve using separation of variables. 

Q: a. Find of the following. dx 6. x = Vy3 + 3y 3y+2y2 7. x = 2-y2 8. x = 2u3 – 3u? and y = u³ – 3u и 9...

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Q: What I can do.. Solve the following problem involving inverse of a one-to-one function. 3. f(x)=x²-4...

A: Given that: 3. f(x)=x2-44. g(x)=2x-13x+4

Q: can you help me find the answe

A: Given that: z=x2+y2   NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub-...

Q: Determine the integrating factors in each of the following differential equations and solve for the ...

A: A detailed solution is given below.

Q: > 3n+14-n n=1

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Q: 2. Find the points of the cardioid r =1- cos 0 at which the tangent line is vertical (a) in polar co...

A: Given- The cardioid r=1-cosθ. To Find- (a) The points at which the tangent line is vertical in polar...

Q: ア+ニ= 5(x-2)yi

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Q: Decomposition of partial fraction- -1 is a(+2+1) 0 승+ (a+1)° 41

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Q: Find ðw/ds and aw/dt using the appropriate Chain Rule. Function Values w = sin(8x + 9y) x = s + t, y...

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Q: tan’e+ cot´e+2 = sec'e cosec'e - cot'e+2 = sec²e cosec'e Prove the following identities.

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Q: Answer the following neatly and completely. 1. Given w = 2ye² sin(xz), find d?w d'w b. dzdx а. dzdxd...

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Q: dy 5) Solve the differential equation by variable separable x*y- dr

A: Given differential equations is x3y2dy/dx=e-y

Q: Please answer. There are 3 total answers. Need the integral. Need the antiderivative Need the

A: Given that:                      x=y2+1y=12xy=0

Q: man at point A on the shore of a circular lake of radius 1 km wants to reach point B on the shore di...

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Q: The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The th...

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Q: CAS EXPERIMENT. Undamped Vibrations. (a) Solve the initial value problem y" + y = cos wt, w + 1, y(0...

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Q: Given the set of equations csct s = cot z, sect Which of the following is ds/dt? The answer does not...

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Q: Assume k is a constant. Choose a DE that is a mathematical model of the following situation: In a c...

A: To Find: Differential equation that is a mathematical model that models the situation.

Q: find the value of f(x) + f(ax) +..f(a°x), Independent of a i2p 20 and f(x) = a, +EA,X* 7 If a= e k=1

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Q: Examine the function for relative extrema. (If an answer does not exist, enter DNE.) f(x, y) = 2x2 +...

A: Solution...

Q: The reduced form of the given Bernoulli's dy dx + 3xy = 4xy³ to differential equation the Linear for...

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Q: 5) (1– xy) dx+[y² +x*(1–xy) ]dy = 0; when x= 2, y = 1 6) 2x[3x+ y- ye * ]dx+[x* +3y² +e* ]dy = 0 %3D

A: As per company guidelines i can provide only one anwser, kindly repost other question in next questi...

Q: 5. Recall that the length of the curve represented by a function y= fa) on an interval (a, b] is giv...

A: Since multiple questions are posted the first question is answered as per our guidelines.Kindly repo...

Q: The area bounded by the curve Y 4x and the lines x 6 and a 14 above the x axis is O 640.00 square un...

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Q: X+(K+1)Y = 5 (K+1)X+9Y = 8K -1 FIND THE VALUE OF K FOR WHICH THE GIVEN SYSTEM OF LINEAR EQUATIONS HA...

A: The objective is to find the value of k for which the given system of linear equations has infinite ...

Q: ,2 px + qx + r ax +b find the derivatives

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Q: 5х +6 2. f(x) = 3

A: topic- functions

Q: 1 Evaluate the limit lim using L'Hôpital's rule. In x

A: Given- limx→0+-1lnxx To Evaluate- The above limit expression using L'Hospital's rule.

Q: Solve this non-homogenous differential equation using variation of parameter: (D2+1)y = sec3(x

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Q: View Policies Current Attempt in Progress Locate all relative minima, relative maxima, and saddle po...

A: Given :- F(x, y) = x2 +xy+y2 -15x  To find:- Relative maximum, minimum and saddle points

Q: Sketch a graph of the polar equation and identify any symmetry. r=2cos(3θ)

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Q: (1) If f(x)=(x-1)(x-3)(x-5),a%3D0,b=4. Find the value of csuch that f (c) has the same value as the ...

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Q: x4 + y4 lim (x, y) → (0, 0) x² + y2

A: The solution follows as

Q: Find the area of a region between the z-axis and the graph of f(r) = r² – x² – 2r. Define the term a...

A: Given function is f(x)=x3-x2-2x

Q: The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR,where I is the current (in...

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Q: Question 1: Let R be the shaded region bounded by the following curves y = x In(x + 1) y = 0 x = 0 x...

A: The centre of mass of the region R can be calculated by the application of double integral. The solu...

Q: Examine carefully the definition of the following functions and classify each of ther determine the ...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: What are the dimensions (length and width) of the table? Show your work/solution

A: Given that: Length of the table is 4 ft more than its width.Total area of the tatami mat = 90 sq. ft