Suppose that F(x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = 1, and f'(6) = 7. Find F'(3). F' (3) =

Q: Suppose that f(x, y) = 3x + 2y at which −1 ≤ x ≤ 1, −1 ≤ y ≤ 1. Absolute minimum of f(x, y) is…

A: We have the function f(x,y)=3x+2yAnd the domain is -1≤x≤1,-1≤y≤1.

Q: 4. Find dy/dx by implicit differentiation.. 3x² - xy + 3y² = x

A:

Q: Let f(x) = (x + 6)² Give the largest domain on which f is one-to-one and non-decreasing. Give the…

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Q: Find both first partial derivatives. z = cos(8xy) дz ?х дz ду = ||

A: We need to find Partial derivative.

Q: PREVIOUS ANSWERS Interpret your answer. oints] DETAILS consumer demand equation for tissues is given…

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Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y) = 2x² + y² on the…

A: Given that , fx,y=2x2+y2 and x=0 , y=0 , y+2x=2 find the absolute maximum and minimum of the…

Q: Find three numbers whose sum is 24 and whose sum of squares is a minimum.

A: Let three numbers are x,y,z

Q: Evaluate the indefinite integral. x² +17x (x + 1)(x − 1)² - dx

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Q: Find a parametric representation for the surface. The part of the cylinder y² + z² = 9 that lies…

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Q: Sketch the region of integration and change the order of integrat Br -3 JO 3 √9 - y² f(x, y) dx dy…

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Q: let f(x) = 3x-2 find f(x+h)-f(x)

A: Given: f(x) = 3x-2

Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SOLVE IN 2 DECIMAL PLACES. BOX…

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5​% of the…

A: Given: A0 = 60 Dispose rate (k): 5% = 5/100 = 0.05 Amount of drug be changed after 7 years T = 7

Q: 3) 4 Σ(n+2=n+3) test: converges/diverges

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Q: Let f(x) = 3√x. Use the definition of the derivative (given below) to calculate f'(x). Be sure you…

A: Given f( x ) = 3xf'( x ) = limh→0f( x + h ) - f( x )h

Q: 14. For the function f(x) = a) The x and y-intercepts. 3.x - 9 find the following b) The horizontal…

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Q: Questions 12-15: Determine if each series converges or diverges. Indicate which test you are using…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Σ 9″ 3 + 10"

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Q: 1. Starfleet intelligence has recently learned of a new Borg vessel that can change its shape…

A: Given :   The 1000 has ome liminitarion namely it is always a shape of box and the volume is always…

Q: Suppose f(x) = 7* log(x). Find: f'(x) = Note: Enter In(a) In(b) for log, (a).

A: Given query is to find the derivative.1

Q: 4 9. A particle moves along the curve implicitly defined by xy¹ - yx¹ = x - y². When the particle…

A: To solve the following problem

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: +(1+3) sin.xdy = 0 34. cos x dx + 1 +

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Q: 2. Find an equation of the tangent line to the curve at the given point. = cosx — sinx, (T, -1) y

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Q: Given ƒ¹(x) = (x² + 1) (x − 5) (x + 2), which critical number corresponds to a local minimum?

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. + -5…

A: Given query is to find the expression for polynomial.

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 80,000+500x. (A) Find the…

A: Solution is given below:

Q: R] [CLO 8] Give an example of a point in Quadrant III of the rtesian plane.

A: we will find the required.

Q: sum of an infinite series is given by S= 25/(1+3/4) What is the common ratio of this series? A. 25…

A: Given query is to find common ratio.

Q: . 3 = 2x= ܐx dx

A:

Q: Only

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Q: Calculate the indicated limit. If the limit does not exist for any reason type DNE. lim x²-3x+√√√ -2

A: Given equation limx→4( x2 - 3x + x  )

Q: You invest $2,540 at a rate of 7.8% with continuous compounding. How much will you have after 7…

A: invest amount is $2540rate is 7.8%time=7 years formula for compound continuous is A=Pertwhere A is…

Q: Given the vector equation [x, y] = [3,1]+[3.–5] find a) the parametric equations b) the symmetric…

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Q: Given the function g(r) = (r − 6)(−11r + 4)º(r — 7)³, - its roots are and their multiplicities are

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Q: Find the function.

A: Given query is to find find the transformed function.

Q: 31. f(x, y) = √4 - 4x² - y²

A: We need to solve question (31) as student has specifically asked for the solution of it.   We need…

Q: dx Evaluate the integral 2x log x 7X

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Q: Learning Target DA3: I can use the Extreme Value Theorem to find the absolute maximum and minimum…

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Q: A rod with density p(x) = 2 + 3x kg/m lies on the x-axis from x=0 to x=1. What is the center of mass…

A: Given density function ρ( x ) = 2 + 3x center of mass = ∫abxρ( x )dx∫abρ( x )dx

Q: Suppose f(x) f'(2) = ex x² +5 . Find:

A: Given: f(x)=exx2+5

Q: an = (-1)" 2√n

A: As we know ⇒-an≤an≤anThen limn→∞-an=-limn→∞an=0We have limn→∞-an=-limn→∞an=0 then by  squeeze…

Q: Find the slope at the point (1, 1)  for the curve defined implicitly by ln y = x2 – y2.    a m = 2…

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

Q: 4. Given that f(x) and g(x) are differentiable functions and the following function values are true,…

A: Fund h'(a)

Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

Q: is conservative. a= F(x, y) = 2.x (3.y + 1)i + a.x²j Next find a scalar potential for the vector…

A:

Q: The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a…

A: We can solve the given problem by using the concept of combinations.

Q: Solve the given differential equation by separation of variables. dy 2y = - (²x + 2)² 8x dx

A:

Q: or the equation —x + 3y = 3 Complete the table: X 0 y 0 Plot the two points you found in the table.…

A: Given query is to to complete the table and plot the points.

Q: Given f(x, y) = 6x² + 3x²y³ + 4y5, find fz(x, y) = fy(x, y) = frz(x, y) = fxy(x, y) =

A: