Find the n-th Taylor polynomials for 1 about x = 3 and express it in f(x) = x+ 2 sigma notation.

Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

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Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

Q: Consider an angle with an initial ray pointing in the 3-o'clock direction that measures 0 radians.…

A: We need to choose correct options.

Q: Can the following limit be calculated using L'Hopital's rule? x + cos(x) lim x→ 3 x + sin(x)+2 If…

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Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

A: fx = 2x2-50x2+8x+15domain: -∞,-3∪-3,∞x=-3, vertical asymptotex=-5, hole

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

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Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

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Q: Switch the order of integration for the double integral below and evaluate it. On your paper, sketch…

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Q: A cylindrical container with a circular base and open top must have a volume of 1000 m³. Find the…

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Q: Find all the derivatives of f, given fl(x) = x ° – 5x' + 4x 6 – nx* + 3x ³ + 11.

A: Let's find.

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

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Q: The continuous function g is negative and has domain x > 0. If the asymptotes of the graph of g are…

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Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: Selors use the fullowing quadrate function to estimate wave height h, in feet, from wind speed w, in…

A: The height h, in feet of the wave h=0.02w2, wind speed w, in miles per hour.

Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: = 17 + 13z Find the producer's surplus if the The supply for a particular item is given by the…

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Q: Three vectors are given by: J = 2î – k K = 2î – ĵ+ 2k L= 2î – 3} Determine: (i) K•L x J; and (ii)…

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Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

A: Probability

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x) =x* – 2x -…

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Q: 3x2 + 4x + 1 dx 2. 2x2

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

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Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: Answer the following using the chain rule (Complete solutions) 1. Differentiate f(x) 2.…

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Q: d 31. Evaluate et ht dt 1 ((1+ Int) dx 1 A) x(1 + Inx) C) x+1 xe* B) 1+x D)

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Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

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Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: 2 sec" x AX JS -sec? x

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Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: Evaluate the following indefinite integral: dx r2 +1

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Q: and enter the types in the same order as your critical points. Note he types enter min max or…

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Q: Find a unit vector in the direction of the given vector

A: Follow the procedure given below.

Q: Find the derivativo of the following . Simplify the answer t #o (Rationalize the denonina tor in…

A: derivative

Q: Calculate the total area of the glass needed for a KLEEMANN curved building design with a function…

A: we have to find area.

Q: Consider the diagram shown below. Suppose that O = (0, 0) and A = (3.5, 0) and B = (2.91, 1.95). The…

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Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

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Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

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Q: Formulate a linear programming problem that can be used to solve the folliowing question. Suppose…

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Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 lb/ft. What is the…

A: Given that, the mass weighing =16 pounds Now, changing the unit of the mass: m=1632=0.5 slug

Q: Evaluate: S Vx(x – 5)dx

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Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: Find the area, A, of the region enclosed by the cardioid r = 8+ 8 cos 0. 96 л (B 52 A © 48 n (D) 100…

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Q: 4. Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.