- Find formulas for dy and Ay if y = x² − 7x + 4. **** dy Ay

Q: Find the inflection points of f(x) = x¹ + 9x³ — 15x² + 15. (

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Q: ASAP

A: We have to write the equation of g(x) from the given function f(x).

Q: O stretch horizontally by a factor of 9, then shift down 6 units O shrink horizontally by a factor…

A: We will find the required

Q: Solve the equation for the indicated variable. R1 R2 for R₂ R₂ X

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: Differentiate the function. f'(x) = f(x) = e5

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x²-1…

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Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

Q: Approximate the area under the curve Y=x3 from X=1 to X=4 using a Right Endpoint approximation with…

A: To find out the area under the curve using the right endpoint approximation with n=6

Q: Evaluate the given expression. Take ;] A ·|- 11 0-2 -2 2 4A + 0.5C and C= 1 [B] 1 -1

A: We have  A=0-2-2021C=1-111-1-1

Q: Locate all the critical points of the function f(x,y)=8x−x^2−4xy^2.

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: (a) Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius rate…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f, g, and g'…

A: Derivative

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given two points ( 3 , 2 , 1 ) & ( 3 , 1 , -7 )

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + 2² = 6 and 1x² +…

A: Solution below

Q: lease answer the following questions about the function f(x) = 3x5 - 6x¹. structions: If you are…

A: critical point

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the compound amount and the amount of interest earned by the following deposit. $9,000 at…

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Q: The region Rin the first quadrant is enclosed by the lines x=0 and y=5 and the graph of y = x² + 1.…

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Q: Find y" by implicit differentiation. 2x³ + 5y³ = 2

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Q: Find the slope of the line tangent to the graph of f(x) = 1/(2x−3) at the point x = 1 and please…

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Q: Find the LU factorization of A = -1 -21 -3-7 I₂ A = || 21 x2 = 40 1 0 1 3 -3 -7 -1 0 and use it to…

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Q: Find the distance x = 2 + 6t, y x = 9-t, NOTE: Enter the exact answer. D = [ between the skew lines:…

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Q: aluate the limit lim x→1 ƒ(x)-ƒ(1) x-1 using the limit toolkit developed in class

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Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the point of intersection (xo, Yo, Zo) of the lines given as: L₁: L₂: Xo = Yo = Zo = M i x=…

A: Given lines equation:- L1: x=3+t,y=5+6t,z=5+tL2: x=3+t, y=6+7t,z=6+2t

Q: <-S28°W 10⁰ 314° ? What is the angle between these two bearings? 46⁰ 350⁰ N18°W

A: An angles if formed when rays meet at a point.

Q: For the equation of the hyperbola: 4x^2 - y^2 = 16. Find the center, vertices, slope of asymptote’s,…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: Skecth the graph find the area of the region a. r=a, a>0 b. r = 2+cos 8

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Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this…

A: -2x+y=-4-2x-5y=-4if AX=Bthan X=A-1B

Q: As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an…

A: Here is the solution:

Q: Revenue The following spreadsheet gives annual production costs and profits at Gauss-Jordan…

A: To find the revenue in each sector in each year.

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12…

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Q: An explosion sends two shards of metal to the east and to the north. The northward shard travels at…

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Q: A trough is 8 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the…

A: Let b be the base of triangle and h be the height of triangle.Using the property of…

Q: Use the function below to answer the following questions. f(x) = x 12ln(x + 3) on the interval 0 ≤ x…

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Q: Consider the function f(x,y)=e^4x−x^2−4y−y^2. Find and classify all critical points of the…

A: Given function:- fx,y=e4x−x2−4y−y2

Q: (5) If y = sin(3x) the find y"

A: We have given trigonometric equation  y=sin3x y'=dydx y'=ddxsin3x y'=cos3x·ddx3x y'=3cos3x…

Q: 2) Find the rectangular coordinates of the point (5,3).

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Q: Let f(x) = x(x-4)³. (a) Find the critical number(s) of f. (b) Find the interval(s) on which f is…

A: (a) A critical point is a point of a function where the gradient is zero or not defined (the…

Q: secx dx tan" x

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Q: The slope of the tangent line to the parabola y = 2x² + 7x + 7 at the point (4, 67) is: The equation…

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Q: A (в C The graph of f', the derivative of the function f, is shown. Which of the following…

A: We need to choose correct option.

Q: G(x) = − 1x². +3 H (x) = − 1x² – 7 M (x) = − 1x² + 1/

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Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: The curves F1(t)= (-4t, t², - 2t5) and F2(t) = (sin(3t), sin(2t), t - *) intersect at the origin.…

A: The given curves are:r1→(t)=-4t, t2, -2t5r2→(t)=sin(3t), sin(2t), t-π

Q: A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/…

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Q: (3) Evaluate the slope of the tangent line for the graph of the x2 x²+1 at x = 1 function h(x) =

A: The given function is: hx=x2x+1  To find the slope of the tangent line at x=1