Find the linear least squares polynomial approximation to f(x) on the d. f(x)= e, [C

Q: 1) Find the extrema and possible points of inflection (if any exist) of - In X X

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Q: (b) 3x + 11 S 2 -dr x²-x-6

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Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S=(2-x,…

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Q: Let f(x, y, z) = 3xz + sin(ry)e*. what is faz? Find the gradient at the point (0, 0, 0)?

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: a B Find: b = Note: Triangle may not be drawn to scale. Suppose a = 10 and A = 60 ° C= C B = b A

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Q: +∞ Σ n=1 1+ sin² n 10η

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Q: the limit 25 - x 5-√√x Evaluate lim x 25 →

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: Find the power series representation of the following function f(x) = ln(1+x)

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Q: Determine the length of the parametric curve given x = 6 sint, y = 6 cost, ㅠ 0 ≤ t ≤=.

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Q: 1. Find the exact val a) sin 3π 2 b) cot (210°) c) sec (-765°)

A: topic:- trigonometry  note:- As per our guideline if more than one question posted than only first…

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

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Q: if f(4)=2 and f'(4)=2/5, use the formula (f-1)'(x)=1/(f'(f-1(x))) to find (f-1)'(2)

A: If f is an invertible function and if f(a)=b, then f-1(b)=a.

Q: This answer is w

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Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: 31) Which of the following BEST describes the application of Cavalieri’s Principle?   a.) The volume…

A: Given ; Cavalieri’s Principle FOR 3D is states that in two 3D figure if they have same Height and…

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: Sketch the region enclosed by the given curves, y = 3x² and y = x² + 4. Find the area of the region.

A: Given curves are y=3x2 and y=x2+4.

Q: 1.2.2 Quiz True or false? (a) Every vector space contains a zero vector. (b) A vector space may have…

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Q: Solve: f b. Od In(Ink) dk 2k (Ink) In[In (Ink) - 1] Ink [In (Ink)-1] In(Ink)-1 k In (Ink) - 1

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Q: Find the critical point(s) of the function y = 0 - 2 cos (0) at 0 € [-3, -π]. (Give your answer in…

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Q: Evaluate du/dy at (x,y,z) = (2,2,0) for the function u(p,q,r) = epqcos(r); p = 1/x, q = x2lny, r = z

A: To evaluate dudy at x, y, z=2, 2, 0 for the function up, q, r=epq cosr; p=1x, q=x2 ln y, r=z

Q: ∞ Σ (tan ¹5k-tan-1 (5k-5)) k=1 ∞ The series Σ (tan k=1 -1 -1 5k - tan (5k- -5)) can be tested for…

A: Given :∑k=1∞tan-15k-tan-15k-5

Q: Use the figure, which shows two lines whose equations are y₁ = m₁x + b₁ and y2 = m₂x + b₂. Assume…

A: The solution is given below

Q: #2 du = Ixlux dx 3 13 x 3 dx dv=lnx dx V= x/nx-x Distribute clnx-x). = (1+x) (x I^x-x) -…

A: Using Integration By-parts formula

Q: 1. Find the divergence and curl of the following vector fields a. F = (1/y²)j b. F=y³z³i+ 2xyz³j +…

A: We have to find the divergence and curl of the given vector fields.

Q: ) // Show that y + y = 0, given that y = 2 sin x + 3 cos.x

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Q: The Laplace transform of a continuous function over the interval [0, ∞o) is defined by F(s) = [ e…

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Q: Find the accumulated present value of an investment over a 8 year period if there is a continuous…

A: We have to find the accumulated present value of an investment.

Q: State the range of the following function g(x) = = 7- 2x² x ER

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Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

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Q: Complete detailed solution. What is the equation of the tangent line at x=1of f(x)=1-2x

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Q: The measurement of the radius of the end of a log is found to be 16 inches, with a possible error of…

A: Suppose r is the radius of the log with the area of the log is given by: A=πr2 So, we have:…

Q: Consider the following. w = √36 - 4x² - 4y², x=rcos(8), y = r sin(0) (a) Find aw/or and aw/00 by…

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Q: uestion 3 Find f(x+h)-f(x) given the following function. Answer f(x+h)-f(x) = | کے f(x) = 8x² + 5x

A: The solution is given below

Q: Find the cosine of the angle between the vectors a = 2i +3j - 4k and b = 5i-1j+ 1k. (You should…

A: Find the cosine of angle between two vectors

Q: function X-1 if X<1 f(x)= 0 if 1≤X24 X-2 if X34 20 a. Graph the given b. define values where, it is…

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Q: 20. Find the area of the region outside the circle r = 3 and inside the circle r = 6 cos 0. -2 0 -2-

A: Given curves are r=3 and r = 6cosθ  At the point of intersection , we have…

Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with…

A: Given that the line passes through the point P(5,6,10) and parallel to the vector r= (6,1,1)+…

Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: Determine the convergence or divergence of the series. 2 n(n+3) Step 1 Decompose to partial…

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Q: Graph the function by using transformations of the graph of y= points on each side. p(x) = 1 (x-2)²…

A: The graph of the function y=1x2 is:

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5 4…

A: Here we have to find the function.

Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.