In some cases, approximations will need to be done by using geometry. (Give exact answers. Use symbolic notation and fractions where needed.) G(0) = G(4): G'(0) = G'(1)=

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A: The critical numbers of the function are,x=2.562,−1.562,0,0Hence x=0 is the point of inflection; it…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

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Q: This is the curve sketching unit in calculus so show proper work and get correct answer

A: If you have any problem let me know here in comment box for this thankyou.

Q: Let f(x) = f'(x) = = x+6 x +3 6

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Q: Sketch the graph of a function g with the property that g'(x) 0 for x> -3. Choose the correct graph…

A: To choose the graph of a function  with the property that .

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A: The surface area of a rectangular box is given by: A=2lw+2lh+2wh The total edge length is given by:…

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

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Q: (5) Given z=x³y-3y². If x changes from 2 to 1.9 while y changes from 1 to 1.02, find dz and Az. Is…

A: The objective of this question is to find the change in z (dz) and the approximate change in z (Δz)…

Q: solve the non-homogenous equation y” – 2y’ = t + e^t

A: The given equation is a non-homogeneous second order differential equation. The general solution of…

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A: We check local maximum or minimum using first derivative test.

Q: Assignment 1: Problem 6 Notice that the curve given by the parametric equations

A: Answera) 27.666666 or 27.667 round to 3 decimalb) t=0c) area= 1666.66666 or 1666.667 round to 3…

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Q: (6) Find дл ду : ye+sin(2)=423 (8 points)

A: Explanation is given below:Explanation:

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

Q: 0 = || Convert the Cartesian coordinate (2,6) to polar coordinates, 0 0

A: The objective of this question is to convert the given Cartesian coordinates (2,6) into polar…

Q: Choose the integral that represents the area of the shaded region.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 12. For the function f(x) = ax³ + bx² – 5x + 9, determine the values of a and b so that f(−1) = 12…

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Q: Convert the Cartesian coordinate (-6,-1) to polar coordinates, 0 0 r = 0 = 0

A: r=37​Θ=3.31Explanation:If you have any questions let me know in comment box thankyou for yours…

Q: 1. Given the below graph of f(x) = f(x) = x2 x-2 a. As x-co, f(x)→ b. As x 2, f(x)→ x 3 4 5 6-7 C.…

A: We need to determine the values of f(x).

Q: Calculate the average rate of change of the given function over the given interval. Where…

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Q: ABC is a triangle with ZA = 60°, ZB = 45°, and BC = 1 cm. Find AC. 01 32 23 √6 3 √6 2 None of these.

A: Therefore, AC=26​​Explanation:Step 1:

Q: Find all local extrema using the second derivative test. Show all work for full credit. Make sure to…

A: 1. f(x)=9x5−9x3f(x) has a local minimum at x=53​​​​ because f′′(x)>0.f(x) has a local maximum at…

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Q: Q Let x)=x+2x-8. For what value(s) of x does f(x) have a local minimum? Paragraph V B I UA Ev Ev

A: The objective of this question is to find the value of x at which the function f(x) = x^2 + 2x - 8…

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Q: Find lim cot 2x 2-0 CSC X

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Q: When pineapple juice is left standing, it settles so that it thickens toward the bottom. Suppose a…

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Q: Find f'(x) for the following function. Then find f'(1), f'(0), and f'(-3). f(x)=-7x-2 f'(x) = ☐

A: If you have any problem let me know here in comment box for this thankyou.

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: 57. Escape Velocity According to Newton's Law of Universal Gravitation, the gravitational force on…

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Q: Suppose f" (x) > 0 on some interval (a, b). Check all of the following statements that must be true.…

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Q: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…

A: d) f(x)=x5e) f(x)= x3(x-2)(x+3)f) f(x)=x3

Q: Given cos(x) 84 O 85 13 O 85 77 85 126 85 36 85 35 15 with 0° << 90° and cos(y) with 270° < y < 360°…

A: 8577​ Explanation: Given that, cosx=53​    with   0∘&lt;x&lt;90∘  cosy=1715​     with…

Q: A polling firm determines that the percent of likely voters who support a certain mayoral candidate…

A: (a) Option A is correct.The percentage of likely voters to support the candidate 8 weeks after…

Q: (If an answer does not exist, enter DNE.) (2,30) 20- 20 |(2,5) (9,9)

A: graph of f(x) is given

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Q: For a certain endangered species, the goal is to have 400 breeding adults in the wild by 2023. If…

A: Step 1: Step 2:  (C).(c) Interpretation: (a). P(14)≈341: This means that in the year 2026 (since x =…

Q: Sketch the graph and find the Laplace transform of f(t)=- t, t<1 1, t≥1.

A: To sketch the graph and to find the Laplace transform of the following function.

Q: If f(x) = 2. e*, find f'(1).

A: given function

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Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: The exponential decay model amount of radioactive at time tinitial amountdecay ratetime in yeats

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Q: What does 2 number cube rolled sequentially mean

A: The phrase '2 number cube rolled sequentially' refers to a scenario in probability and statistics…

Q: solve the non-homogenous equation y” – 2y’ = t + e^t

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Q: Let f(x) = 3x2+5x-10. Answer the following questions. 1. Find the average slope of the function f on…

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Q: Consider the function f(x)=1/x on the interval [1,11]. Find the average or mean slope of the…

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