Consider the function f(x)=2x^3-12x^2-30x+2 on the interval [-6,10]. Find the average or mean slope of the function on this interval.

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A: Initial populaiton, P(0)=800.Carrying capacity, C=9600.Change in one year, P(1)-P(0)=1020.Now,The…

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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: Let f(x) = ln(x² + 18x+87) f'(x) =

A: x2+18x+872x+18​Explanation:

Q: Evalute the following integration: (x-4)dx x²-2x-15 x+9 X+9

A:

Q: (BC Topic) (Technology Permitted) A polar curve is given by the tangent line to the curve at Select…

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Q: 3. A) www Find the circulation of F = -yi + x²j + zk around the oriented boundary of the part of the…

A: The objective of the question is two-fold. First, we need to find the circulation of the given…

Q: Homework

A: solution attached.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the volume of the given solid. dx=y2 under the plane 9x + 2y - z = 0 and above the region…

A: The volume of the given solid is 1.65 Or 2033​Explanation:If you have any problem let me know here…

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A: To find the values of 'a' for which the function  satisfy thefollowing differential equation.

Q: Let f(x, y) = 1 + 2x² - cos(5y). Find all critical points and classify them as local maxima, local…

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Q: Let f(x)=xe and f(")(x) be the nth derivative off with respect to x. If (10) (x)=(x+n) e*, what is…

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A: the answer of this question is option b 127.235Polar function is the function that are represented…

Q: 2. Find the linearization at ln(5) of f(x)=√ex - 1.

A:

Q: Find the critical numbers of the function f(x)=12x^5+45x^4-100x^3+7 and classify them. Round your…

A: The critical numbers of the function are x = 0,  x=2−3+29​​​​ or x ≈ 1.193 , and x=2−3−29​​ or x ≈…

Q: Arrange the sets from top to bottom so that each set is a subset of the set below it.

A: An integer is a whole number which may be positive, negative, or zero.Natural numbers are all…

Q: Suppose that the cost, the revenue, and the profit equations for a company manufacturing flash…

A: Suppose that the cost, the revenue, and the profit equations for a company manufacturingflash drives…

Q: Find the series’ radius and interval of convergence

A: ​Interval of convergence =(−1,3)Radius of convergence, R=2Sum =3−x2+2x4​​Explanation:Step…

Q: Find the indicated partial derivative. R(s, t) = test; R(0, 4) R₁₂(0, 4) =

A: Final answer: Hence we getRt​(0,4)=1 The partial derivative Rt​(0,4) of R(s,t) with respect to t at…

Q: Explain how to solve this question in steps.

A: f′(4)=36Explanation:

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Q: Let y=5x^2Find the change in y, Δy when x=1 and Δx=0.2   Find the differential dy when x=1 and…

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Q: d²y (BC Topic) What is dx² if x=5+21³ and y=4-31²? Select one: a. O b. 61 614 Oc. 614 1 O d. 22

A: dy2d2y​=6t41​ Option B is correct. Explanation:

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

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Q: find the Taylor polynomial of degree n for x near the given point a. ln(x^2) a=1 n=4

A: The Taylor polynomial of degree 4 for ln(x2) near a = 1…

Q: Suppose X and Y are random variables with the given joint density function. f(x, y) = (0.1-(0.5x +…

A: (a)yes (b)P(Y≥3)=0.5488P(X≤3,Y≤2)=0.2561 (c)Expected value of x = 2Expected value of y =…

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine the values of p for which the series Σ (from n=1 to…

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A: The given function is

Q: Find wa+bi =√z where a and b are real numbers. - -4i W = W =

A: Answer...w= -√2 + √2 iw=√z= {√(4-√2)/2 + i √(4+√2)/2} Explanation:Step 1: Step 2: Step 3: Step 4:…

Q: 3 Given is an acute angle such that sin(0) Find the value of tan 5 tan (0-1) 1 O 7 07 01 O-1 3 7 O…

A: Look at the below attachmentExplanation:Step 1: Step 2: Step 3: Step 4:

Q: An airline sells tickets from Tokyo to Detroit for $1200. There are 500 seats available and a…

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A: Given y = tan(3x + 4 ) dy/dx = d ( tan(3x + 4)) /dxdy/dx = sec2 (3x + 4 ) (3)

Q: 2 square root of 882 divided by 7 square root of 5

A: given expression 2 square root of 882 divided by 7 square root of 5

Q: onsider the function f(x) = (3x-6) / (x+5) Find: (a) f increasing and decreasing (b) concave up…

A: The given function

Q: (BC Topic) The velocity vector of a particle moving in the xy plane is given by 5 v(t) = . If the…

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Q: A calculator may not be used on the following questions. 4 TT A polar curve is given by r = The…

A: The slope of the curve at x=π/2  is equal to 0.25 The correct option is option (d)Explanation:Step…

Q: The equation of the hyperbola that has a center at (9,4), a focus at (4, 4), and a vertex at (12,…

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Q: Help please

A: ​Center-Point: (2,4)Four vertices: (−4,4),(2,−1),(2,9),(8,4)​Explanation:Step…

Q: Find the gradient of the tangent to S(t):(Sorry for the break for this just need to block the stupid…

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Q: Consider the iterated integral below. Sketch the region of integration by the limits of integration…

A: ∫02​∫05​∫04−y2​​ysin(z2)dxdzdyExplanation:

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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Q: a parabolic arch of maximum height 40 m is 30 m wide at ground level. A horizontal beam of length 12…

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