3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

Q: E Q4) Evaluate cach of the following: 1- Prove lim sin3xcot5x X-0 xcot4x 2- Find dx Zx+3/ 3- Find (V...

A: Questiion 1,Given,            limx→0sin3xcot5xxcot4x=125To find : To prove the limit.

Q: Find df, dg, ď²f and d g, if sing f +g = x+y, sinf

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Q: Giving a precise mathematical description of natural phenomenon can be quite difficult. It is often ...

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Q: Find the area of the region bounded by the curves y = 2 - x2 and y = -x. Select one: а. 11/3 O b. 9/...

A: This question can be solved using the concept of area between two curves.

Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

A: Ashley solution is correct.

Q: What value(s) of c, if any, will satisfy the IVT for the given function f and the given value m, on ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) (x) - 3x2...

A: For critical points, we take f'(x) =0

Q: For z=-5x° and a 2yt pont PEIR?, we have dz dy. -2 What is the value ef P

A: Solution is given below:

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

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Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region b...

A: Explained below 

Q: uestions: A) find the indefinite integral of the function y = 3t^2 + 2e^3t + 1/t + 2cos3t? B) calcul...

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Q: Simplify and write the final equation in general form. y - 5 = 1(x - (-7)) %3D y- 5 = 1x +7 %3D The ...

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Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1 < x < 1, –1<...

A: ∫1a2-x2 dx = 12aln1+x1-x+C

Q: Solve the recurrence: an= 2an-1+ 4n-1, ao=1

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Q: sin(x) Evaluate lim,→0

A: We have to find the value of the limit                limx→0sinxx3 Now,        put x=0   in sinxx3  ...

Q: Use Newton's method to approximate a root of the equation 3x+ 8a* + 2 = 0 as follows. Let 1 1 be the...

A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: topic - vectors

Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: 4 3

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by pri...

A: We have to make equation and maximize the revenue as given in this question. 

Q: Let f be a differentiable function. Consider the relation = x•f where z is implicitly defined in ter...

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Q: C. Directions: Solve the given problem using continuity of a function it is estimated that a worker ...

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence? ...

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Q: (b) - f(a) Find the value or values of c that satisfy the equation f'(c) in the conclusion of the me...

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Q: Solve the inequation 1 1 x - 1 4 and enter the solution set in the box below as an interval. For thi...

A: 1x-1&lt;-14  

Q: Given the following System of Differential Equations and its Eigenvalues and Eigenvectors 1 2 has Ei...

A: From the given options  Option (B) closely define the differential equation for given system because...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y) (smal...

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Q: 9 (x) g' (x) g (x) g (x) 9' (4) -3 1 2 -4 2 16 Selected values of a function g and its first four de...

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Q: 18. 2ху' + у %3D 6х, х> 0, у(4) 3 20

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Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh“(Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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Q: Write the solution statement for all of the solutions to the equation –5sec(θ) = 10. Show your work...

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Q: Write the letter of the item that corresponds to the best response. What is the average value of the...

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Q: 00 (2x -3) For what values of x does the series converge? n! n=0 x = only B 1< x < 2 only 1<x < 2 on...

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Q: Find the slope of the graph of the function at the given point. 256 f(x) = (4, 1) f'(4) =

A: Explained below 

Q: Example 2: Find the parametric and symmetric equations of the line through the points (1, 2, 0) and ...

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Q: 2. Prove that g(x) = sinh x + x – 1 has a zero in [0, ln 2].

A: To prove that gx=sinh x+x-1 has a zero in 0, ln 2.

Q: y V3 x dx 8y-y2

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Q: Let f(x, y) : V 125 – 3x? – 2y² - Evaluate f(1, 2)

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Q: sinh(3r) 8. Solve for f(21)(x) given that f(x) = 3

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Q: III. Find dy using implicit differentiation. d.r sec"(ry) = (cosh r)(tanh z+v5) + 2 csc-' (tan(y+ 1)...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: The given question has been solved in detail. 

Q: 10. J =-2x+1)a dx Learning Task 3: Complete the table by identifying u and du for the integrals. Not...

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Q: F(rn) = ¤n - | f(In) for For the function f(x) r2 + 2, write Newton's formula as In i 1 = f (In). so...

A: By the Newtown formula to find the Xn+1.

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

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Q: Prove using the formal definition of limit that lim c = c. xa

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Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition. 

Q: Jsing the Binomial Theorem, show that

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Q: 3X1+ 5X2-3Х3-9 2X1+6X2+4XЗ-14 -5X1+2X33D10

A: This question is based on solution of linear equation in three variables.