Find an equation of the tangent to the curve at the given point. x = t2 − 3t,      y = t2 + 3t + 1;      (0, 19)   Graph the curve and the tangent.

Q: Consider the function g given by g(x)=|x−6| +2.   ​(a) For what​ x-value(s) is the function not​…

A: A function is non-differentiable when there is a cusp or a corner point in its graph.   Given :…

Q: y"" y'=sin(3x) -

A: Given:        y'''-y'=sin3x    Linear equations with constant coefficients…

Q: For the given cost function C'(x) = 44100 + 800x + x², First, find the average cost function. Use it…

A: Given query is to find average cost function and minimize it.

Q: Suppose that f(1)=9and that f′(x)≥4for all values of x. How small can f(9)possibly be?

A: Topic = Functions

Q: Find the derivative of f(x)=x12

A: I am attaching image so that you understand each and every step.

Q: Please use a double integral (in polar coordinates) to derive the formula for the area of a circle…

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Q: (b) X 2 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: The given graph of f' is:

Q: Find the point on the curve y = √x  that is closest to the point (2, 0).

A: Topic = Functions

Q: 8. Suppose P(x) is the profit of a small company in thousands of dollars and the graph sketched…

A: Key points:   I. The position the graph will give the rate of change of profit since the graph is…

Q: Find the derivative of the funct = In (³√/7x - 3) y' = y =

A: y=ln7x-39

Q: Evaluate the iterated integral. Include a sketch of the region. * cos(x²) dydr.

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Q: 2 (²) 13. f'(t) for f(t) = arctan 14. g'(0) for g(0)=√√30+tan² (40)

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Q: 4) Given the piecewise function /(x) = 16 if x<2 if x 22 Find the area under the graph f(x) over…

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Q: 3. Mang Gustin observed that when he uses x units of fertilizer, he is able to yield 1 m(x) = − −x¹…

A: To find the maximum yield we need to use the concept of maxima and minima. First we need to find the…

Q: f(x) = cos x, a=- B 4 approximate cos(-0.26)

A: The linear approximating polynomial of a function is given by, L(x) = f(a) + f'(a) (x - a) and the…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Here function we have given isy=5x+2sinx. And interval given in the problem is(-π,π). ⇒x∈(-π,π) Now…

Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 3 seconds.…

A: we will find the required.

Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: By Newton – Raphson the solution of equation _3x²-x=0 . where x = 3 is 1 0.3333 оо -0.3333

A: Given, 3x2-x=0

Q: Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x √4- x2…

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Q: x²-3x+2 ex/4 8. Given the functions: (i) f(x) = 2x³ +12x² +6x-20 and (ii) y(x) = - (a) Find the…

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Q: An accessories company finds that the​ revenue, in​ dollars, from the sale of x belts is given by…

A:

Q: Find a formula for the inverse of the function g(x) Answer: g=¹(x) = ez 3+ 4e

A: Let g(x)=y and than try to write x in terms of y ..

Q: A manufacturer can produce 4320 cell phones when & dollars is spent on labor and y dollars is spent…

A: I am attaching image so that you understand each and every step.

Q: 3. A girl is being pulled at the rate of 3 m/s at the instant (t = 0) when her friend released her…

A: Let's find speed of girl after half a minute.

Q: Find the Taylor polynomials p1​, ​..., p5 centered at a=0 for f​(x)=4e^−2x.

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Q: Find the extreme values of f(x,y) = y2 - x2

A: we can find extreme values.

Q: Consider the following function. f(x) = x1/5 + 7 (a) Find the critical numbers of f. (Enter your…

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Q: A college food court surveyed students to gather information about the types of drinks they like.…

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series Σ(112) S3 = where Sk is…

A: Given that telescoping seriesS=∑n=5∞1n+1-1n+2To find :S,S3,S4,S5Solution :S=∑n=5∞1n+1-1n+2Sk=∑n=5k…

Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: Evaluate the double integral D of (x - 3y2)dxdy D = [0,2] x [1,2]

A: To evaluate the given double integral

Q: Find an equation of the tangent line to the curve at each given point. x = 2 - 3 cos 0, y = 3 + 2…

A:

Q: after graduation, emily opens a saving account that offers a 6.25% annual percentage rate. she makes…

A: Topic:- application of algebra

Q: A farmer wants to construct a fence around an area of 12696 square feet in a rectangular field and…

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Q: Find the particular solution. π x dy - (3y + x4 cos(x)) dx = 0, y = 8 X when x = |N 2

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Q: 3. Find the interval of convergence of the power series (x + 1)2k k².16 Don't forget to check the…

A: Let's find interval of convergence of given power series.

Q: A company's revenue from selling a units of an item is given as R = 1600x − 3x². If sales are…

A: To find the rate of increase of revenue.

Q: Can you also solve part D? Using this follow-up question for an additional subpart

A: To find the exact area enclosed by the graphs of fx and gx.

Q: Look at the effects of different bases on f(x) = log(x): -5 140 x

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Q: Write and equation of a line passing through the point (-6,-3) and perpendicular to JK with J(-2,-7)…

A: Write and equation of a line passing through the point (-6,-3) and perpendicular to JK with J(-2,-7)…

Q: Cartesian coordinates of a point are given. (a) (−6, 6) (i) Find polar coordinates  (r, ?)  of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 11. INSTRUCTIONS: Two cars start moving from the same point. One travels south at 60 miles per hour.…

A: Given

Q: Find dy/dx. y=x-4

A:

Q: An accessories company finds that the​ cost, in​ dollars, of producing x belts is given by…

A:

Q: Convert the following triple integral from rectangular to cylindrical coordinates. Do not evaluate…

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Q: the limits of the following questions. (i) lim 1-2x X-0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: XI -41 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) 3…

A: Given query is to find the point of relatives maximum.

Q: Evaluate the following expressions. Your answer must be an angle -T/2 ≤0 ≤ in radians, written as a…

A: Evaluate the following expression  sin-1(sin(-7π4) sin-1(sin(7π6)cos-1(cos(5π4) cos-1(cos(5π3) And…

Q: (e) Identify the x-coordinate of any inflection point(s) of f(x).

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