Hanx sec" dx

Q: Find the area between the curves y = x2 - 8 and y = 4 - x.

A: Explanation of the answer is as follows

Q: Find for the following function: X + tan(xy) = 0 %3D dx

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Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1

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Q: (a) f(x) = 1 – 1; I =[-2,2] (b) f(x) = I = (1,5)

A: We will find if the given function is continuous. 

Q: X+イ

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Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

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Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point me...

A: Let's find.

Q: The Differentiation to be made must be based on the following topics. - Trigonometric Give 3 example...

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Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

Q: sin x dx TT cos2 x + e cos x

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Q: x2-7 2. S dx х3-12х+16 9y+14 3. S (y-2)(y²+4) ay 4. S х3-х2+1 dx (x2+2х+2)2

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Q: Integrate تلد ا - تم( فیگ S (a² – v²) * 22)* dv where " a" is constant

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Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(×TDÍA UNI...

A: Given

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 5 t dt COS V sin t

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Q: (4) e. s = 8cos (4t2 + 9) ..determine s'(2) 1 (3) f. y = V(3-15x)3 (4) g. y = 4x (2x + 7)* 10021Test...

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Q: If Q = 10F* – -+ F3 + 3F2, then find Q""(2).

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 P4(x)

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Q: Find the nth Maclaurin polynomial for the function. 5x - 3 f(x) n = 4 x + 1 Pa(x) =

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Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: area under the curve

Q: x+1 For the function g(x) = , 2 a. Determine the equation for any vertical asymptotes, if there are ...

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Q: 1 and g(z) 4. f(x) = %3D

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Q: 12. Simplify the following rational expression for the function f (x) = 5x2 f(x + h) – f(x) h

A: Given f(x)= 5x² So, f(x+h)= 5(x+h)²=5x²+10xh+5h²  

Q: Using integration by parts and taking a > 0, the integral S x In(ax)dx is equal to:

A:

Q: Discuss the continuity of f(x) = {Vx, x > 1 1, x<1 at x = 1.

A: A function f is said to be continuous at some point a if the value of the function at that point is ...

Q: Q5) A) Graph the curve Y = - 2 x (x -4)(x + 6)(x - 2) between the value of x [0, 4), then find the a...

A: The curve y=-2xx-4x+6x-2 between the value of x∈0, 4

Q: Find the equation of the tangent line to the graph of f(x)f(x) at the (x,y)(x,y)-coordinate indicate...

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. -...

A: ln(a/b) = lna - lnb

Q: 2x 3. Show that f(x): | V16+ t4dt has an inverse, and find (f-1)'(0).

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = xo and then find the nth Taylo...

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=25+dd...

Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: We have to verify that y= e-x/3is the solution of differenital equation 3y'+y=0  

Q: Find the indefinite integral. x2 + 8x + 5 x3 + 12x² + 15x + 6 xp

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Q: 1. Find the y" of y (4x-3x + 1)9 (5x + 7)2 1/2

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Q: Write the first five terms of the sequence, give the exact answer: +o0 n + 23 n=1 Determine whether ...

A: Given a sequence

Q: 5. f(x) = In Vr² + 4

A: Given:- f(x) =√(x2+4)  To find:- (a) the critical numbers of f (b) all relative extrema of f (c) the...

Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

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Q: A region bounded by the following curves is revolved around the y-axis. Use cylindrical shells to fi...

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Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common rati...

Q: Question 1: Differentiate the functions. a) f(x) = 2 – 5cosx +x4 + 3* b) f(«) = +

A: I am attaching image so that you understand each and every step.

Q: Use the limit comparison test to determine whether the series converges. Σ 3k +4 k=1 The series

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Q: 9)6

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Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discon...

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Q: di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor ...

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Q: bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the center...

A: Find your answer below 

Q: Using appropriate substitution, the integral S e t3 dx is equal to:

A: ∫ex-3dx/x4 now substitute u = x-3 du/dx = -3/x4 dx = -x4du/3 ∫ -eudu/3 (-eu)/3 + c now put value of ...

Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: For each of the following functions, determine: (a.) the critical numbers of f (b.) all relative ext...

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Q: 4) Find the interval of convergence for the power series Σ (-1)"-1п 2n n=1

A: