Find all critical numbers by hand. f(x) = x²-7 x+3

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

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Q: sine and cosine to which variable it should correspond to?

A: Clockwise Motion: If a particle moves clockwise around a circle, the angle it makes with the…

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 7…

A: We have to find the motion of the particle: .Clearly, for different values of t we can get different…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Refer to explanationExplanation:To minimize the amount of material used for the cylindrical pop can,…

Q: Find an equation of the tangent line at x = a. 2 y=x-xia=2

A: y=x−x2;a=2Using the power ruleddxxn=nxn−1

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 x…

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Q: Equations are given whose graphs enclose a region. Find the area of the region. y = x²-2x+1; y =…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: уа f(x) -g(x) The area of the shaded region in the graph above is described by which of the…

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the derivative of the function. x+2x-2 y= x-2x+2 OA. y=. OB. y'. O c. y=. 4x-8x (x²-2x+2)² OD.…

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Q: Q2 Perimeter of a rectangle is 84 inches. Find the dimensions of the rectangle that maximize the…

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Q: 2 sin x ate the integral using substitution method dx (3 + cos x)5

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 2.- Calculate the average value of the function f(x) =…

A: The average value of the given function isgiven by,Here,

Q: dy Use implicit differentiation to find without first solving for y. dx x2 4 dy da + = 25 y² = 1

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Q: Determine the Cartesian equation of the plane that has a normal vector (-3, -7, 8) and passes…

A: The Cartesian equation of the plane is:−3x−7y+8z+40=0Explanation:Step 1:The Cartesian equation of a…

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Determine a value for k such that the two planes are coincident. -3y+z=-27 -x- 3x+k²y+kz = k* a. k=3…

A: Final answers: (1)   d (2)  cExplanation:###(1)For two planes to be coincident, their normal vectors…

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Please don't provide handwritten solution ...

A: The objective of the question is to find the intersection points of the given equations.

Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 1) The investment will be worth approximately $15,963 at maturity.2) It will take approximately 4.1…

Q: I have a set of vectors in R^2(i.e. two-dimensional vectors) such that the scalarproduct (the same…

A: The maximum number of vectors in your set in R², where the scalar product of any two vectors is…

Q: Calculus I May I please have the solution for the following questions? Sketch an accurate graph…

A: Please refer below to get your solutions.Explanation:Sol -> a) Sol -> b) Sol -> c) Sol…

Q: Two helicopters leave a heliport at the same time. The first flies 190⁢km/h in a direction of 290…

A: The distance between the two helicopters after three hours is 369 kilometersExplanation:Step 1:…

Q: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5) and is…

A: The normal form of the equation for the desired plane is:6x−y+2z=12Explanation:To find the normal…

Q: Find the arc length of the curve x = 3r², y = 4t³ on the interval 1≤t≤4. Round your answer to three…

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Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: a. 40b. 0c.5​1​Explanation:a. We can evaluate the limit by direct substitution. This means we will…

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the…

A: Answer: 640Explanation:

Q: Find the value of the improper integral fox dx 1 + x2 a. πT O b. C. d. -π Not in the list П 2

A: Option (d) is correct π/2 Explanation:Step 1:- Step 2: Step 3: Step 4:

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ +…

A: Answers :: Part -> (A)S′(t)=0.15t2+1.6t+3 Part -> (B)S(6)=66.6S′(6)=18Explanation:Sol)

Q: Use the graph to evaluate the limit. lim f(x) X--1 12 OA 314 OB. 0 Oc. -1 O D. 34 OE. The limit does…

A: We need to evaluate limit.

Q: Q/Derivatives of inverse Trig functions 3 = √√ si y = sin(cos-¹√√1 – In(x − sin x) -

A: The given function is

Q: Use the One to One Property of Exponentiation to solve the following exponential equation. Input…

A: By using the one to one property of exponentiation to solve the following equation.

Q: A triangular plate with base 1 m and height 3 m is submerged vertically in water so that the tip is…

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Q: PLEASE ANSWER THE QUESTION ACCORDING TO INTERVAL NOTATION. AND PLEASE WRITE THE ANSWERS AT THE END…

A: a) (−23pi​,−2pi​)b) (0,0)c) (0.57,0.07904)d) (−6.18,−pi)∪(0,0.57).Explanation:a. Given the function…

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: A 10-ft ladder is leaning against a house when its base starts to slide away.By the time the base is…

Q: Use a sketch to find the exact value of the following expression. cos sin 7 25 Which of the…

A: The triangle given in (C) is used to find the value of cos(sin−1257​). The value is…

Q: Find the derivative of f with respect to x of f(x) = In x 12

A: The objective of the question is to find the derivative of the function f(x) = ln(x^12) with respect…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ +…

A: (A) S′(t)=0.12t2+1.6t+8 (B) S(4)=53.36  and  S′(4)=16.32 (C) S(12) gives the total sales of the…

Q: dy Find • for the function y =23x dx

A: The objective of the question is to find the derivative of the function y = 23x with respect to x.…

Q: Q1 The price of selling x units of item is p(x) = 56 - x. The total cost of producing a items is…

A: Question No. (1): The price of selling x units of item is . The total cost of producing x items is…

Q: Solve for the variable P to two decimal places. 75,600 = Pe 0.077(6)

A: P=47631.04Explanation:Step 1: Step 2: Step 3: Step 4:

Q: In order to find the derivative of f(x) = -x³ we use the power rule, which states that the…

A: The given function is

Q: Use a graphing utility to find the point(s) of intersection of f(x) and g(x) to two decimal places.…

A: Point of intersection is x = 1.46  In ordered pair:Point of intersection is ( 1.46 , 1.13 )…

Q: Determine the angle that vector a = (12,-3, 4) makes with the y-axis.

A: The angle between the vector a=(12,−3,4) and the y-axis is approximately 103.34…

Q: Use the One to One Property to exactly evaluate the following logarithm. The answer will be…

A: By using the one to one property to exactly evaluate the following logarithm.

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

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