sec? x dx- 4 Evaluate /1-tan x O-1 O -2 1 O 2

Q: (a) Solve the following: 1 (i) 2-6: 8

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Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys " 2

A: Given: x=8sin(y), 0≤y≤π2

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Area of circle is πr2 and area of equilateral triangle is √3/4a2  

Q: Find the average value of the following function: p(x)  =  4x2 + 5x + 6 on the interval  1  ≤  x  ...

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Q: x 2 f(x) = -

A: Using continuity of polynomials function,

Q: Question Select your answer. The function below is continuous on which of the following intervals? [...

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Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

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Q: c =

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: y Sales of Version 4.0 of a computer software package start out high and decrease exponentially. At ...

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Q: Question Determine the set of intervals where f(x) = V8x2 + 14x – 15 is continuous.

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: d r S x a h to state the absolute and1 of the function. 6.

A: We have to find the absolute maximum and absolute minimum according to the given graph

Q: Consider the series (9x). n=0 (a) Find the series' radius and interval of convergence. (b) For what ...

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Q: Find the values of c that make f continuous everywhere: S2² - c | cr + 8 if z 14 smaller c = O 8 O ...

A: The objective is to find the values of c that make f continuous everywhere.

Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

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Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

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Q: A farmer has 800 meters of fencing material to enclose a rectangular pen adjacent to a long existing...

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Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

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Q: Question 3: Evaluate the following limits, if they exist, by using the graph 3 -4 -3 -2 -1 3 -1 -2 -...

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Q: A solld is obtained by rotating the shaded region about the specifled line. about the x-axis y 4 y =...

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Q: Use sigma notation to write the Maclaurin series for the function. 7sin zx 7(– 1)*,2* (2k)! (2k + 1)...

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Q: Evaluate the following improper integral. Give an exact answer. (Remember, the natural exponential f...

A: Topic:- definite integration  

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: A spherical balloon is inflated with air flowing at a rate of 15 cm/s. How fast is the radius of the...

A: The formula to calculate the Volume of the balloon is:              V=43πr3 where r is the radius of...

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: minimum values and saddle point(s) of the function, If you have three-dimensional graphing software,...

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Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

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Q: -5 1 x ml-s+c O None of the other choices

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Q: Find the limits of the functions below a) lim,-3 2x3 sin a b) lim

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Q: Solve the following differential equation. Finalize answer free of fractions and equated to y^n. 1. ...

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Q: Find the series' interval of convergence and, within this interval, the sum of the series as a funct...

A: Find your answer below 

Q: Find the area of the region enclosed by the curves  f (x)  =  4x + 15 and g(x)  =  2x + 33, and the ...

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Q: dx Given: 2x- 3xlnx Find: du dx dx 3 X

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Q: 2. Σ--1)k , k%3D k+1

A: The given sequence is ∑k=0∞-1kkk+1

Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or ...

A: This question can be solved using application of integrals to find area under curves.

Q: 3 х 1 (x² – 1

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Q: Find the value of a that will make the function continuous at every real number. x 2

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Q: Evaluate csc?x cot(cot x) dx. O -In sin(cot x) + C O In sin(cot x)+ c O - csc?(cot x) + C O cot(csc?...

A: The given integral,       ∫csc2x cotcot x dx

Q: Use sigma notation to write the Taylor series about x = function. 1 x + 5

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Q: Graph the curve r = sin(0)+ 1/2

A: Given : Curve r= sin(θ)+ (1/2)  From the given curve(r), the parent function is f(θ) = sin(θ) 

Q: Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (...

A: Topic:- calculus  Note :- as per our guideline if more than one question uploaded than only first qu...

Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

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Q: Which of the following limit theorem used for transcendental functions is wrong? 1 O lim COS T | O l...

A: topic - limits

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) -...

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Q: 3. Consider the function f(x)=V x* +3. a) Estimate the area under the graph of f(x) from a = 0 to b ...

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Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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