1. In the figure below, rectangles have been drawn to approximate g(x)dx. |8(x)

Q: the function y=csch(5 ln x) as a rational function is given by:

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Q: Find a particular solution to the following: F(x)= [(8x* +2x dx where F(1)= 3 2.

A: The objective is to find the particular solution for the given

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

A: Intermediate value theorem For a continuous function y = f(x) in the interval [a, b] such that…

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: Can you please answer this question and show all of the steps and say the correct letter

A: Consider the limit

Q: 4 Ay 10- Given the graph to the right, find f(x)dx. 8- 0. 6- 4- 2- 4 6 8 10 4 f(x)dx:

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Q: The graphs of f(x) = 9* and g(x) = log9(x) are symmetrical with respect to the %3D %3D Select one: O…

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Q: 4 35₂ In evaluating 2 dx X√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at x= 2.9.

Q: If f(x) is odd and ∫-1 to 5 f(x)dx=11 then, ∫1 to 5 f(x)dx=?

A: It is given that f(x) is odd and

Q: 34. Write a function of the form g (x) = A sin Bx for the given graph. y 4 8 -1 -2

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Q: -7-65-4 -3 -2 -1 -1 -2 -3 -4 -5 { -2 if x E | f(z) = { 4 ifx E Basic Interval %3D ( 3 ifx e DNE…

A: topic - functions

Q: Evaluate in terms of gamma function: x°e-3¤ dx O r(7) Or(17) O(7) OI(7)

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Q: 4. In the text we noted that if f(u(v(x))) was a composition of three funetions, then its derivative…

A: To Determine: write the rule in prime notation. Given: we have composition of three function…

Q: 38. For what numbers x, -^ ≤x≤7 is the graph of y = cos x increasing?

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Q: -2x 39. lim (e* cos x)

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Q: 22) If f f(x) dx = 4, Sí f(x) dx = 4, and f(x) dx = 6, find the value of f(x) dx. = a) 2 b) -2 с) 3…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions,…

Q: L=2-36X, y'co) =5, and ylo)=S x)

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Q: 4. An electric current can be represented by the function y = 2 cos (27(x -0.02)), with time in a…

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Q: Evaluate and approximate f(x) dx of the functions in Table 3. ,2 4 1/(1 + x*) V1+ x² | sin(y) e

A: NOTE: According to guideline answer of first question and first three subpart can be given, for…

Q: me the graph to find a d>0 such that for all x, 0</x-xo<d-Iftx)- L<e. <E. 1) y= 2x2 f(x) = 2x2 xo =…

A: Given,for all x,    0&lt;x-x0&lt;δ, f(x)-L&lt;ε.…

Q: b. b-a Use the equation fte)dx = lim ** ) to evaluate the following definite integral. n-0k=1 2 |(2x…

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Q: se the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b.…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: The base of a three-dimensional figure is bound by the graph x = cos(y) + 1 on the interval [-n, r].…

A: Option(2) is correct answer.

Q: (B) The evaluation of f- -dx is (x*+3x2 +1)[tan-( In|tan"+5| + e -In tan-( +c (i) (ii) (iii) None of…

A: No antiderivative could be found within the given time limit, or all supported integration methods…

Q: 1 8. When we say that (Inx) = , we really mean to con- dx 1 on the restricted domain (0, 0). sider…

A: Given the function ln(x) Now for the derivative : ddx(ln x)=1x Here we take the function 1x on the…

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

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Q: dx -= In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-!x+1) (A

A: We will integrate first then find F(x).

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: Which of the following is equal to lim h→0 Old + 1/1/12 2 dx +=h { (20²2 +20)] - [2²] + d [1 dx da 2…

A: This is a problem related to differentiation. Based on the definition of differentiation we will…

Q: 2 dx 5, is same as evaluating lim cos C+2+ F(<x))". Determine the value of f(x) if x=3.22 In…

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Q: 2 1 e. Use your answers for parts c and d to estimate -dx using Simpson’s rule with n=8 1+x

A: We have to find the integral by Simpson rule

Q: 4. plot the below function in the range 0 to 3x in steps of z/20. sin(x) sin(x)20 y(x)=. sin( x)s0

A: we are allow to solve one question at a time thank you

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-'x+1) -1 + - 6 -1 + - + -15 -is -İS

A: Given: ∫dxx+x3xtan-1x+1=lnFx+C                              …1 We have to find F3 when C=0

Q: 1 find the domain and range of f(x) 2 - cos3x

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Q: 3 2x 11-8 n x³ + 1/ 5 where [ ] = G.I.F If lim /2n dx = k, find the value of [1] + 2013.,

A: Solution :

Q: 7 Given the graph to the right, find 0 7 0 f(x)dx = f(x)dx Ау 10- 8- 6- 4- 2- 0 2 14 Foo 6 co. 8 X…

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Q: dx -In[F(x)]+ C. What is F( 3) if c = 0? For (x+x³)(x Tan-!x + 1)

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Q: lifferen tiake 3-Co5hx with respect to X 6+ sisht

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Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: Solve the problem. Suppose that f and g are continuous and that ffx) dx = -5 and g(x) dx =7. Find S…

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Q: /4 1. evaluate [sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

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Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: 25. If f(x) = (cos x)*, then %3D is k-0

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Q: ++ 1 7. The function y = f(x) is shown in the graph above. What is f(S(-2)) ?

A: We are given graph of a function , y=f(x) We need to calculate f(f(-2)) First we will calculate…

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 十4 -1 -2

A: Given query is to find the graph for the sine function.

Q: In evaluating 4 2 dx X√ X²-4 is same as evaluating lim cos ¹(f(x)). Determine the value of f(x) if…

A: We have to find the value of f(x).

Q: dx = In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-x+1) (A +- B V3 + 3 -1 D -1s -is -is

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Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: A pdf is given by 2 cos (x 3 ").0<x< f(x) = 3 Show that this is a valid pdf and then find P(X<1).

A: Topic:- probability