Find the x and y coordinates of all inflection points. f(x)=x³ +45x2

Q: Use logarithms to solve the given equation. (Round the answer to four decimal places.) 2* 2x = 13 x…

A: Step 1:solution given that 2x=13using natural log both side ln2x=ln13 Step 2:using logarithm…

Q: 1 5. Given: cot(x)= π and 0<x<, find the value of the following expression using sum 20 and…

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Q: 1. Evaluate the following definite integrals: 2 b) 3x3 (3x4 - 2)5 dx re-(z2−1)/2 dx

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Q: Find the area (if it exists) under the curve f(x) 3 = x²+4 where x in on [0, ∞o]. Give exact answer.

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Q: Explain fully for better understanding. See image attached. Thank you

A: The objective of this question is to find the time at which the maximum velocity of the target…

Q: Write an equation for the function graphed below.

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Q: - 2x2. If sales are increasing at A company's revenue from selling a units of an item is given as R…

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

A: Given that : A trough is 12 feet long, and its ends are in the form of inverted isosceles triangles…

Q: 4 m 8 9 10 11 12 + -12-11-10-9/-8-7-6-5 -31-2-1 Give the equation for the function whose graph…

A: The graph of function f(x) is given,The aim is to write the equation of the function f(x).

Q: et-1 t-07+2te-2t-7et Given that lim [7427][h(r)]] = = = 3 use the Rules of Limits and 28 -…

A: Given: limt→0​[[7+2tet−2t−7etet−1​][h(t)]]=−283​ Step 1: Simplify the expression inside the…

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Q: Find the volume between the surfaces using double integrals in polar coordinates: z = x2+y2+3, z = 0…

A: Summary:The volume between the surfaces is 7π​/2 cubic unitsExplanation:Here's the step by step…

Q: Consider the following function and express the relationship between a small change in x and the…

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Q: Consider the given limits (a is a constant, f(x) > 0). lim f (x) = 0 xa limp (x) = ∞ xa lim g(x) = 0…

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Q: A 500-gallon tank contains liquid that is 10% alcohol (the tank is full). A 50% alcohol liquid…

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the limit x²+0x-9 lim 2-3 Enter I for ∞, -1 for -oo, and DNE if the limit does not exist.…

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Q: Find the first four terms of the Taylor series for the function 2 tan(x) about x = П 4

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Q: [Select] of f is a point (c, f(c)) · graph of f where the concavity changes.

A: The objective of the question is to identify the correct term for a point on the graph of a function…

Q: Find the curvature of the curve (t) = = (3 cos(2t), 3 sin(2t), 3t) at the point t = 0 Give your…

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Q: Find the area of triangle XYZ if ZY = 30°, z=9 and x = 5.

A: For given triangle XYZ∠Y=30∘.z=9 and x=5.

Q: fors √2-6

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Q: I keep asking for help for the same equation and only receive partial. Please answer each section of…

A: To find the price the company should charge for the cameras and the quantity of cameras it should…

Q: In this problem you are asked to find a function that models a real-life situation and then use the…

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Q: Find the average rate of change for the following function. f(x)=5x³-3x²+2 between x = -2 and x = 3…

A: The formula for the average rate of change is: Average rate of change=b−af(b)−f(a)​ Where: a is the…

Q: I am needing assistance with the equation(s) in the attached image, 3.11.

A: a. S(t) = -16t + 1302    v(t)  = -32t b. -48 ft/s c. -32 ft/s    -64 ft/s d. 9.021 s e. 41.021 ft/s…

Q: III) For the following exercises, graph the polynomial functions. Note x- and y-intercepts,…

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

Q: se the given transformation to evaluate the integral. [[ 3 cos(5 (y-x)) dA where R is the…

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Q: Write an equation of the form y=a sinbx or y=a cosbx to describe the graph below. 2+ 1+ M 4 6

A: To write an equation of the form  to describe the graph below.

Q: Find the average rate of change for the given function. f(x)=√2x+3; between x=3 and x = 11 What…

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Q: Find the derivative of the function. s=t² In |t| ds dt

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Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: dw Use the case 1 chain rule to determine the derivative where dt ม w(x, y, z) = xez and x(t) =…

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Q: Q3 C7

A: Step 1: Use the table of values to compare the temperature of the object T to time t where its…

Q: Determine if the sequence converges of diverges, if it converges, find the limit. an = √1+4n2 /…

A: To determine if the sequence converges or diverges, we need to find the limit as n approaches…

Q: express with spherical coords, then evaluate. show all steps

A: 2π(3−3​)Explanation:To solve this, we can use spherical coordinates: x=rsinθcosϕ   y=rsinθsinϕ…

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

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Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

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Q: Find the area between the curve of g(x) = 3x² · - 3 and the x-axis, from x = 1 to - x = 5.

A: Since in first question it is asking to use graphing display calculator so kindly mention if you…

Q: Consider the function f(x)=10 root x +10 on the interval [2,5]. Find the average or mean slope of…

A: Therefore, the required answers are a) The average slope is m=310​(5​−2​)=2.739514717088982158b)…

Q: Precalculus Question (6)

A: Answer (g):  No Answer (h):  YesExplanation:Question (g):No, it is not possible for the graph of a…

Q: I need help on this question?

A: The objective of this question is to determine which pairs of vectors are perpendicular. In vector…

Q: ABC is a triangle with AB = 12, BC = 8, and AC = 5. Find cos(A). Note: You are being asked to find…

A: The objective of this question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

A: Need to find out the slope of the tangent line to the given function.

Q: 4 4 Use the fact that the derivative of the function f(x) == x is f'(x)= to find the equation of the…

A: The equation of the tangent line to the graph of f(x) at the point x=-9 is y=81−4​x−98​Explanation:

Q: Given f(x)= = 6 js( Find f(x) dx. 0 82 2 -x+6 for 0 ≤ x ≤2 for 2< x ≤4 for 4 < x < 6

A: Given: To find .

Q: 1

A: The determinant of A is -2.The determinant of Ay is -8Solution for y is 4.The determinant of Ax is…

Q: Let lim f(x) = 3 and lim g(x) = 15. Use the limit rules to find the following limit. x-6 lim f(x)…

A: Recall the Quotient Property of Limits. If a is a real number and the limits limx→a​f(x)and…

Q: A ball is thrown into the air and its position is given by ℎ(t)=-6.7t^2+70t+11 where ℎ is the height…

A: Maximum height =6712987​ meters Time =67350​Explanation:Approach to solving the question: Detailed…

Q: Q2 C7

A: Step 1:To solve the given differential equation:dtdb​+mb(t)=mWe can use the separation of variable…