3. Let f(x) = 3x + 9 and g(x) = √4x². Find the functions listed determine their domain. a. (f - g)(x) b. (g.g)(x) C. (f

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Q: Given f(x, y, z) = xyz, find fyyx

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Q: Find dt where z = 3x²y³, x = t¹ and y = t²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative of the function. 3 1 F(t) = (st ²+ 1)² F'(t) = 15 (5r+1)* X

A: To find the derivative of given function.

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

A: Given query is to find the the derivative of the function.

Q: 2. use the variable. u for the inside express each of the following as a function. a) y (4 + ²-3) 5…

A: Concept: A function is composed when two functions, f and g, are used to create a new function, h,…

Q: the graph of the function to state the value of lim f(x), if it x→0 = x² + x 3√x³ + x²

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Q: Find the area of the sector of a circle with radius 17 miles formed by a central angle of 55°: what…

A: To find the area in square miles of the sector of a circle with radius 17 miles formed by a central…

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Q: In Exercises 5-14, determine the convergence of the given series using the Ratio Test. If the Ratio…

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Q: question 13. y' - 5y = 0, y(0) = 2

A: We have to find the solution of given differential equation.

Q: Consider the function below. f(x, y) = In(x + y - 3) (a) Evaluate f(1, 3). (b) Evaluate f(e, 3) (c)…

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Q: Consider the function (for question G) S(x) ax³ bx³ + k G. What will happen to lim S(x) if a, b, and…

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

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Q: Find the general solution of each of the following. 1. tan x dx + y cos² x dy = 0

A: The given equation is; tanx dx + y cos2x dy =0 Repost the next questions.

Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: 12.) Using the result from Problem 11, find the equation of the tangent line at (-2, -1/2).

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Q: Q3/ Use the l'Hopital's rule to find the limits x-8x² x→∞ 12x²+5x 2) lim

A: The limit is given by limx→∞x-8x212x2+5x To evaluate: The value of the limit using L'Hopital's rule.

Q: Show that xzxx+yzxy = y²Zyy if z = xy + yln(xy)

A: To prove the given result find zxx,zyy,zxy and substitute in the given equation.

Q: Q4/ The region between the curve y=√x, 0≤x≤4, and the x-axis is revolved about the x-axis to…

A: We need to find volume.

Q: Evaluate lim h→0 cot(+h)-1 h

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Q: - Find and sketch the domain of the functions: √x+y+1 x-1 b) f(x, y) = x ln(y² - x) c) f(x, y) =…

A: The given functions, a) fx,y=x+y+1x-1b) fx,y=xlny2-xc) fx,y=6-3x-2y We have to find the domain of…

Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 1. Circles…

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Q: question 14. y' - 5y = e5x, y(0) = 2 answer 14. y e5x (x + 2) =

A: The given initial value problem is: y'-5y=e5x ;      y(0)=2

Q: a b= Note: Triangle may not be drawn to scale. Suppose a = 2 and A = 50 degrees. Find: C= B B = b…

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Q: Calculate the points of intersection of the curves y=2x-x² and Y=x² and determine the area enclosed…

A: Are of intersection can be found by solving both equations by putting value of   Y from any one…

Q: 10. Solve uxx + Uxt-20utt = 0, u(x, 0) = (x), u₁(x, 0) = (x).

A: Factor the operator as we did for the wave equation

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A: We need to find second derivative.

Q: e values ( Vinx dx using the I x Rom brook method where n=2 Equal (A) 0 - 64ाण Bo O 65806 06637…

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Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

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Q: dy 2) Consider the equation 6xy+sin y = x. Use Implicit Differentiation to find dx The correct…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: - If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter…

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Q: f(x,y)=(5x°-4y3, + 4xy²

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x2 + C B. x³/3 + x²/2 C. (x+2)/2 D. x³/3 + x²/2 + C

A: We know, ∫xndx= x(n+1)/(n+1) , for any real number n

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0

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Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

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Q: (dy/dx) + 2y = sin2x First-class homogeneous DE Second degree homogeneous O DE second order DE…

A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: (6x+y²) dx + (2xy-3y²) dy

A: The given differential equation:6x+y2dx+2xy-3y2dy=0.We need to solve the general solution.

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

Q: t costs $90 to rent a car driven 100 miles and $140 for one driven 200 miles. If x is the number of…

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Q: Eliminate the arbitrary constants. y = We-x + Ve³x

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Q: View Policies Current Attempt in Progress Two vectors are given by a = 6.31 + 7.6 and 6 = 6.51 +…

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Q: 17.) Find the derivative using the quotient rule. f(x)

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Q: if x ≤ 1 if r> 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

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Q: Use the graph of the function to state the value of lim f(x), if it exists. x-0 f(x) = x² + x 3√x³ +…

A: To find out that the limit of the given function at x=0 exist or not.

Q: Find the PS of y' 2 cos²x - sin² x + y² 2 cos x y(0) = 1984

A: Given y'=2cos2x-sin2x+y22cosx and y0=1984

Q: What is the integral of x(x + 2) dx? A. x³/3 + x² + C B. x³/3 + x²/2 C. (x+2)2/2 D. x³/3 + x²/2 + C

A: Topic = Integration Correct option = A