Based on that graph given, what is the domain and range, how many extrema are there, and what does the blue dot represent

Q: Which of the following series diverge? 1. Σ cos(2n) n = 1 11. Σ (1 + 1¹) n=1 ผ +12/23 III. Σ (n +…

A: The given series,(I) (II) (III) The objective is to find the divergent series.

Q: 5. Find the general solution of the difference equation Yn+22Yn+1+Yn = 6n.

A: General solution of the given difference equation is:Explanation:To find the general solution of the…

Q: let à = (3,4,5) and To (5,2, 6) a Find (2-6) x (a+b)

A: We need to find out the cross product.

Q: (5.) Let u(x, y) = ln(x² + y²) (a (b. (c. State the domain of u: Determine lim f(x,y) (x,y) →(0,e)…

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Q: Evaluate lim x--1 3 ln (-1-2x) + 3 2x² - 2 and write your answer in simplest form.

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Q: 2. Sketch the graph of f(x) = 3x3/2. Highlight the graph over the interval [2,3]. Now find the arc…

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Q: Let f be the function defined by f(x) = 2x + 3e-5, and let g be a differentiable function with…

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Q: Use integration by parts to evaluate the integral: St -1 tan xdx

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Q: Use integration by parts to evaluate the integral: sin (9t) est s dt

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Q: Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After conducting…

A: Given: a weekly demand of 299 at a price of $14 per toaster.a weekly demand of 206 at a price of $18…

Q: Evaluate the integral. 3 64 X - X L' ( √ ²² = x - √²- =7) OK dx X 64 X 1

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Q: 3. Suppose that a is a double root of Ak+ak-1-1+...+ a₁λ + ao = 0. Prove that the sequence (yn)n =…

A: Explained in detail in the below.Explanation:Given that, α is a double root of λk + ak−1 λk−1 +...+…

Q: Determine if the sequence is monotonic and also determine if it is bounded. a_n = ((2n+6)!) /…

A: The objective of this question is to determine if the given sequence is monotonic and if it is…

Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: Calculus 1 Let f(w) be a function of vector wERN, i.e. f(w) = 1+e-w7 Determine the first derivative…

A: First Derivative :  Matrix of second derivatives:    Explanation:  Let's start by finding the first…

Q: Find the equation of the tangent to the function f(x) = x + 3 & I 4 x4 if x = 1

A: Given the equation of curvef(x)=1x+2x2−3x3−4x4To find: equation of the tangent

Q: 3 Determine the exact point(s) on the graph of f(x) = 2 - 4x at which the slope of the tangent is…

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Q: Find the centroid of the region bounded by the graphs of the functions 1 7 y = 5 sin(x), y=x, and a…

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Q: Given f(x, y) evaluate f(5,6). = 100x + 60y - 2x² – 5y² – xy, and

A: Given a multivariable functionf(x,y)=100x+60y−2x2−5y2−xy

Q: S 2 xdx 24-1

A: To evaluate the following integral.

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree. She…

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Q: solve very very fast in 15 min | I need a clear answer by hand, not by keyboard

A: The objective of this question is to find the area under one arch of the curve y = sin(x/2). This…

Q: What are all values of a for which the series Select one: O a. 9 15 O C. a < 12 O d. a <9 3 X k=0…

A: The given series is .The aim is to find the values at which the given series is converges.

Q: 2/3 Solve. 2x Solve. /2-9 = 19 + 1 = -2 = 0

A: Solve Solve

Q: Please solve

A: limx→∞​6x2−8x+12x2+2x​=31​See the attachment below for a detailed explanation.Explanation:Step…

Q: 1. Consider this series: 10 20 3 9 (a) Write the series using sigma notation. 5+ + 40 80 27 81 + ()…

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Q: Find дw as aw at as Əw əs əw Ət || = and || дw using the appropriate Chain Rule. (Enter your answers…

A: We need to find out the partial derivatives by using the chain rule.

Q: Find the equation of the tangent line to y = 7e* at x = 8. (Use symbolic notation and fractions…

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Q: Find the derivative of the function g(x): = ex 4x - 1

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Q: find dy/dx for: 1. y=(3x^2+3x-1)^4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (BC Topic) What is the sum of the infinite series Select one: O a. diverges e-n O b. O c. O d. e H…

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Q: pls solve using differential calculus

A: Below complete solution is Given.Explanation:

Q: y = f(x) N The figure above shows the graph of the twice-differentiable function f and the line…

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Q: In 2005, Dr. Larry Kamin and his botany students at Benedictine University collected the following…

A: a) H(D) = 5.629D0.713 feet b) 91.579 feetExplanation:Step 1: Obtain the regression output Enter the…

Q: 2. Find the solution of the initial value problem 1 = y+t² sint, y(x)=0. dt t

A: Question No. (2):To find the solution of the following initial value problem.Note: Since you have…

Q: 12. [1, 2] AROC: 7 6 5 4

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Q: The numbers of polio cases in the world are shown in the table for various years. Year Number of…

A: a) Exponential b)  f(t) = 3634.2951 (0.7423) x c) Predicted number of polio cases in 2016 = 80  d) t…

Q: Let f(x) = 3x² + 17x + 20 2x² - 1x - 3 This function has: 1) A y intercept at the point 2) x…

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Q: Plot the point where 0 = -255°

A: See the attachmentExplanation:

Q: f(x) = 1-x², ax + b, ((x-1)³ + 2, x ≤ 0 0 1

A: f(x)={1−x2,x≤0ax+b,0&lt;x≤1(x−1)3+2,x&gt;1

Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 11x³, a = 5. (Use…

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Q: A projectile's path is represented by the function h(t) = -4.9t² + 32t+4, where h is its height, in…

A: Average rate of change of f(x) on x=a and x=b is given by

Q: Evaluate the integral or state that it diverges. Ĵ 0 (3v) 1+9v² 30 tan -dv

A: The given integral .The objective is to find the integral value.Formulas used:

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: If w = x + y²z, then the differential, dw is 0 1 + 2y 2ydxdydz dx + 2yzdy + y² dz 01+ 2yz + y² O dx…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function f(x)=x² - 2x…

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Q: Please help evaluate each sum knowing that f(x) = x2, g(x) = 3x , & h(x) = 2/x

A: f(x) = x2, g(x) = 3x , &amp; h(x) = 2/x

Q: Find the unit vector of maximum increase for the function f(x,y,z) = x2+3y2+2z2 at the point (1,1,2)

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Q: Please solve the following calc 3 problwm

A: The objective of this problem is to find the equation of the plane that passes through the three…

Q: 2. Find the velocity, acceleration, and speed of a particle with the given position function. (a)…

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