For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x a = b =

Q: ind the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Use the vectors N = 3x - 2y + 12 and M = -1x + 3y + 12 to answer the following questions: A. What is…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: The graph shows the cubic function f (x) and the polynomial g(x). -10-9-8-7-6-5-4 3-2 f(x) 10 9 87 6…

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Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (A'U B) n C' on the Venn…

A: Venn diagram is used to represent  Let's first draw the Venn diagram step by step.

Q: 1. The total cost ($) incurred in producing z items is C(z)= 2500+300x -0.2x². What is the actual…

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Q: Use the formula d =√√²+r₂²-2rr₂ cos(-0₂) to find the distance between the two points indicated in…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: ). Use the Integral Test to determine whether the sum converges. ∞ n = 1 1 n + 8 Evaluate the…

A: Given series  ∑n=1∞1n+8

Q: Find the solution to the boundary value problem: The solution is y = d²y_6dy + 5y = 0, y(0) = 1,…

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Q: What is the normal line to the curve 9x²+4y²=36 at (0,3) ?

A: To determine the equation of normal line to the given curve.

Q: 3) Find the average value of the function f(x) = 5x+2 over the interval [0, 3].

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

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Q: Differentiate y = tan ¹(√x). y'

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Q: Use linear approximation to estimate √9.05.

A: see below the answer and calculation

Q: Exercise 5.2.5: Let f: [a,b] → R be a continuous function such that f(x) ≥ 0 for all x = [a,b] and…

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Q: Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM…

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Q: Use the vectors N = 3x - 2y + 12 and M = -1x + 3y + 12 to answer the following questions: A. What is…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find the area of the shaded region. r = 5 + cos(0) -6 -4 -2 y 4 2 -2 -4 LC 2 4 X

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Q: The volume of a cylinder of height 10 inches and radius 7 inches is given by the formula V = 10mr².…

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Q: The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from…

A: Rate of change

Q: Use the Trapezoid Rale and Simson's Rule to evaluate [²2xe dx using n=6. What are the errors for…

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Q: Integral Calculus - Plane Area Find the area of the region between x=y2-1 and x=y+1 using a…

A: Givenn functions:- x=y2-1, x=y+1

Q: Solve the following first order differential equation whose type of differential equation is either…

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Q: nd the partial fraction decomposition of 3x²+x+6 (x+2)(x²+4)

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Q: Question 15 Textbook x = A company that produces cell phones has a cost function of C= 30x2 - 496x +…

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Q: Write an equation of the form ya sin bx or y a cos bx to describe the graph below AA 0 6 8 0/6 R 20…

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Q: (n) lim x-2-√

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Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

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Q: J. H. J.. By.......

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Q: Find the extrema of the following function on the given interval: h(x)= 2x+5cosx, ob [0,2π

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Q: Given f(x) = x² + 3x + 4, what is 07+h 2x+h+3 Oh+4 Oh² +7h f(2+h)-f(2) h equal to?

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Q: Question 10 > At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23…

A: Let's find distance between the ships changing at 3 PM.

Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

Q: A company determined that the marginal cost, C'(x) of producing the xth unit of a product is given…

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

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Q: Which of the following expresses 1-4+16-64 +256 in sigma notation? 5 a. Σ(-4)k-1 k=1 4 b. Σ (-1)…

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Q: Find the slope of the tangent line to the curve defined by 2x² - xy + 3y³ = -1034 at the point…

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Q: I want to know why the absolute minumum value is -6.35.

A: Let's solve for absolute minimum value.

Q: A radioactive substance with decay constantkis produced at a constant rate ofaunits of mass per unit…

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Q: 42 3 -1 Y -2 -5 2 (c) x = 0 y = f(x) 3 7 Sketch tangent lines to the graph at the following x-values…

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Q: For the Max Y isnt 70 and for the mim the Y isn't right.

A: The given function is fx=20x3-30x2-120x+10 on the interval -2, 3. We have to find the absolute…

Q: Consider a population P=P(r) with constant relative birth and dealt rate a and b and constant…

A: Given dPdt=kP-m

Q: Σ 8 η=1 sin ()

A: Given query is to find series converges or diverges.

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

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Q: x+y+z = -3 : 2x - 2y-z = -7 -3x + y + 5z = 5

A: The given system of linear equations:x+y+z=-32x-2y-z=-7-3x+y+5z=5

Q: Differentiate y = arctan(cos x). y = 0

A: Given that        y = arctan(cos x)

Q: Problem 6. Find two numbers x and y such that their difference x - y is 50 and their product ry is…

A: The given two numbers are x and y such that:x-y=50

Q: Assume that the side of an equilateral triangle is measured with a percentage error of at most 1%.…

A: Assume that the side of an equilateral triangle is measured with a percentage error of at most 1%.…

Q: (b) Ife is any angle, the value of a trigonometric function of is the same, except possibly for…

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Q: the rectangular equation if r = 4 cos 0 + 4 sin 0

A: Given query is is to find the rectangular equation.

Q: 2xy³ + y² + (xy³-2y)y' = 0

A: