Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y) (smaller x-value) (x, y) ) (larger x-value) minimum maximum (х, у) -

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) (x) - 3x2...

A: For critical points, we take f'(x) =0

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A: (A)    Given v=<15,-8>.

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Q: Given a function f(x,y,z) = (x+9) ln (2y - 3) sin (5z). Find the range of the function. a.[ -1, 1 ]...

A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a (x+a...

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Q: 4x2 – 21x (x - 3)2(2x + 3)

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Q: perpendicular lines have the slope m1,m2 = 1 False O True

A: This is a problem related to the slope of the line which is perpendicular to existing line.

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Q: 4 3

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A: Let's find. 

Q: dy 1. Using Logarithmic Differentiation, find * given that dr -3 sec-(VI) y = 4"(log2 r ech z

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: y³ Vy² + 4 dy Let u = y? 2

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Q: Select each TRUE statement from the options below. Oir2a converges and a Sb for all n, then b conver...

A: As per the company's guidelines we are supposed to solve first three sub-parts for you, kindly repos...

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: Q2: Evaluate each of the following limits: 1-cos 3X 2)limx-0 9X2 x$sin 3) lim00 x*+1

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Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. 6. r = cos (0) – sin (0) (Expr...

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Q: Determine whether the series is convergentor divergent.Write the exact test that yOU Use, cosCnT)

A: Given series convergent or divergent using limit test.  

Q: 20. x4 - 2х2 + 4х +1 х3 — х2 — х + 1

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Q: The MAIN use of Newton's Method is to: O Find the roots/zeros of a function O Find the y-intercept o...

A: Newton's method also known as Newton-Raphson method is an iterative process that can approximate sol...

Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

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Q: Determine whether the series is conivergent or

A: Given ∑n=1∞(-1)n-1nn+2  

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. (a) Vn (-1...

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Q: Use the rules of differentiation to find the derivative of the function. h(x) = 6/x + 9Vã %3D h'(x) ...

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Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y - z = 4 are orthogonal, parallel, o...

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Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a din...

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number o...

Q: Consider the hyperbola of equation: (x – h)² (y – k)2 a2 62 whose foci are (-3, 2) and (9, 2), and t...

A: First find distance between foci Then use formula

Q: Find dy dx if sin(x + y) = tan(xy)

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Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

A: Let's find. 

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y² – x² su...

A: f(x,y)=y2-x2g(x,y)=14x2+y2-1=0∇f=-2x, 2y∇g=x2, 2ySet up:∇f=λ∇g and g(x,y)=02y(λ-1)=0-2x-λx2=0x24+y2=...

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x, y) =...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

A: The vector component of v along b is r=v·bb2 b The vector component of v orthogonal to b is u=b-r

Q: 1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at...

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Q: The sequence that begins 101, 105, 109, 113, 117, .could be O a geometric sequence. O a Fibonacci se...

A: This question can be solved using the concept of types of sequence.

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54 ...

A: The area formed is of trapezium

Q: complex function can be modified by the equation: y = cos(x^3) 3x^2 Find the indefinite integral of ...

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Q: What is the equation of the line Lz pass through the point ( 2,-1) that is parallel to the line L, w...

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Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

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Q: x? dx and simplify your answer. Show your

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Q: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

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Q: Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point ...

A: Solution is written in below steps.

Q: The follamng expression shaws an eqution of a conic section such that he ordered pair (Vx, Vy), corr...

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Q: Find  v  if  r = 3  inches and the point rotates at  15  rpm.

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: The given question has been solved in detail. 

Q: Solve the following differential equations of dy 1 + -y = xy'; dx 'Linear Differential Equation

A: The standard form of Bernoulli's differential equation is: dydx+Py=Qyn Where; P & Q is the funct...

Q: Solve the following First-Order Differential Equations and give the particular solution or general s...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. ...

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