Find the total differential. 8x + y 3z - 2y dw = W X

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A: The given differential equation is

Q: Differentiate. dy dx In x y= 12 X ||

A: we need to find out the derivative of the given function.

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A: The given equation is

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Q: ²-3x. If there is more than one, separate with a comma.

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Q: 2 Find [¹² (4x + 3y)* dady. Write (4x + 3y) ¹dxdy. Write your answer in exact form.

A: To find

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A: The graph of the parabola is To determine: The vertex of the parabola.

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A: given function

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Q: Write the domain of the function f. 6 f(x) = 12x³ + X

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: f(x)=x3x3+3;x=1

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A: Question no. (b):Suppose that To find the intervals on which is increasing and those on which it is…

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Q: Use the factor theorem to determine if the given binomial is a factor of f(x). f(x)=x²-2x³ +5x²…

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Q: th A formula is given below for the n term an of a sequence {a}. Find the values of A₁, A2, A3, and…

A: A formula is given below for the nth term  of a sequence .To find the values of .

Q: Calculate the derivative of y with respect to x, if xy + 4xy¹ = x + y. dy da =

A: Consider the equation

Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

A: To solve the following separable differential equation for .

Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

A: Here we will find limit of the given functions, we will find it on putting the x= infinity and -…

Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

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Q: Add the following complex numbers. (−5+19i)+(3−3i) Give your answer in complex standard form a+bi

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Q: 1 · f(t) == t³-a¹t 5

A: f(t)=15t5−a4t

Q: y-values 9 8 7 6 5 4 3- 2 1 If f(x)= = g(x) 41 g(x) h(x) f'(3) -- 2/17 3 2 3 x-values then 4 X…

A: The given function is The formula we use to find the derivative of function f(x) is Quotient rule…

Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: Entered -(84/25)*(x^3)-(24/5)*(x^3)*In(x)+([9*(x^8)]/25) The answer above is NOT correct. Find the…

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Q: If a stone is thrown vertically upward from the surface of the moon with a velocity of 8 m/s, its…

A: Given that a stone is thrown vertically upward from the surface of the moon with a velocity of 8…

Q: Find a formula for the nth term of the sequence in terms of n. 3 2 2² 2² 2³ 24 an = 1 " 20 25 30 35…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: For a Function f( x , y ), The directional Deivative in the direction of  is given as

Q: Question 3.33) A certain sports car is being tested for its performance. Putting the engine at…

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Q: Differentiate. g(t)=31t g' (t) =

A: To differentiate the following function.

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: 140 -x³ to answer the questions below. 3 3 747x4 tical numbers of f(x)? x = - l(s) is f(x)…

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Q: 1 8 Q1. Let f(x, y) = 3xy + / - 1. Т

A: f(x,y)=3xy+1x−8y

Q: Determine the limits of: 3N (1 + 2/3 3³

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Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

A: Given, .Formula for length of curve is,

Q: In 2004, an art collector paid $155,328,000 for a particular painting. The same painting sold for…

A:

Q: Use a graph to estimate the coordinates of the lowest point and the leftmost point on the curve x =…

A: In this question we will find the lowest and left most point.

Q: The gas mileage m, in miles per gallon, obtained during a long trip is given by m = - Is-551 +15,…

A:

Q: A company is planning to manufacture snowboards. The fixed costs are $100 per day and total costs…

A: Given that,The company manufactures snowboards. The fixed cost is $100 per day and total cost $5100…

Q: Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5…

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Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

A:

Q: intercept (x, y) =

A: we have given function

Q: True or false: Suppose that a is a real number. The graph of y = f(x) has a vertical asymptote at x…

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Q: y-values 8 7 6 3 2 1 If f(x) f'(2) = - g(x) h(x) ' g(x) 2 3 x-values then Ou y-values 5 4 1 h(x) 2 3…

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Q: Find d'y if (x)=3x³ (√x-2). d³y dx³

A: To find Note: Since the student has posted multiple questions and does not mention any specific…

Q: Winter FunⒸ has determined that the total cost (in dollars) for its west coast factory to produce…

A: