Simplify: 5 6 z- 2 2 - 4 31 z -4 5z - 4 4 5z + 8 2-4 5z + 16 1 -4

Q: Obtain the general solution of the following using the method stated. Nonhomogeneous Equations: Und...

A: Let's find. 

Q: Discuss (step-by-step) and sketch he graph. In the graph, show only one period of the function (basi...

A: We need to draw graph.

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: Which of the fallowing is the graph of y= VI+1-2?

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Q: 17 Select the correct answer from each drop-down menu. sin'r The function y=Cos3 is v function, and ...

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Q: Find solution of y^4-8y'''+42y’’-104y'+169y=0

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Q: Find the absolute extremum value 1. y = x³ + 7x² – 5x; on [-6,1] 2. y = x* – 8x² + 16; on [–3,1.

A: Since you have posted multiple questions as per our guidelines we are allowed to answer the first qu...

Q: 4 d.x c2 1+ x²

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Q: L(3x+e")dx Jo

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Q: t is the Laplace transform of f(t) = e"cos3t, 1 3 s-5 s2 + 9 (s - 5)2 + 9

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Q: The following equalities are False in general. For each statement, find a function f showing that th...

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Q: A parabolic arc y = Vã,1< x<2 revolves around x-axis. What is the volume of the solid of revolution?...

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Q: 47-50. Combining power series Use the power series representation 00 f(x) = In(1-x) = - for -1sx<1, ...

A: The power series representationf(x)=ln(1-x)=-∑k=1∞xkk, for -1≤x&lt;148. g(x)=x3ln(1-x)

Q: Question 17. Consider the following geometric series, S, where: S = 2+ 2(0.2) + 2(0.2)² + 2(0.2)³ + ...

A: Here, the given series is: S=2+2(0.2)+2(0.2)2+2(0.2)3+... Comparing it with S=a+ar+ar2+ar3+... where...

Q: dy Y Va? y? %3D dr

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Q: Find the area of the resulting surface if an arc of a parabola y=x2 from (1,1) to (2,4) is rotated a...

A: The given curve is: y=x2        from   (1, 1)  to  (2, 4)

Q: Evaluate tan 45 tan 30 + tan 60 O 1/2 O No answer text provided. O 2

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Q: 7. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or ...

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Q: Differentiate: y = 2 cos² (x² + 2) %3D

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Q: Determine whether the following statement is true or false. If the statement is false, make the nece...

A: The given statement is true

Q: 1.6 The estimate of So 15y – 3|dy is: а. - 0.5 | b. 1.3 C. 0.5 d. 1.8 е. 2.8

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Q: 10x

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Q: 3II 108: 250:

A: Given: 108:3π5=250:___

Q: b): By using L'Hopital rule to evaluate the limit tan x - sin ac lim 23 sin x

A: We need to find limit.

Q: State the possible number of real and imaginary zeros and the possible rational zeros for unction. T...

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Q: 1.3 Evaluates 2y³ ev. ey²(y² – 1) + C а. b. -ev (y² + 2) + C С. 2ev* (y² + 1) + C d. evy + 2) + C

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Q: For number 51, can you show why -1/2  and 1/2 diverge and are not included.?

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Q: dy solve for the general solution : = (-5x + y)² – 4 dx Select the correct response: 3(1 — севг) a y...

A: We have to find the integral of the above function.

Q: What is 'a' called in S, f(x)dx? a. Lower limit b. Integration C. Upper limit d. Limit of the integr...

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Q: 12. The inverse of a quadratic function is also a function. This statement is always true never true...

A: We need to choose correct option.

Q: T 3 x* sin (x) dx 3

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Q: x In x (b) lim IH0 x + ln x

A: We will evaluate the given limit as shown below by using l hospital rule

Q: What is the constant term of the function f(x) = (x + 2)(2x - 8)? O A. - 32 O B. - 16 O C. - 8 D. 2

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Q: FinO dzg 29+3h? = 2h 3 IF %3D dh2 3 ANSWER : -3+2h

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Q: Evaluate the integral. dx xª – 1

A: Given: Let I=∫x4x4-1 dx To Find: To evaluate the given integral.  

Q: Find 7e' dy. a. 11.23 b. 30.82 С. 49(e6 – e3) d. 7(e6 – e³) e. 7

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Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

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Q: Find the area of the resulting surface if an arc of a parabola ? = x2 from (1,1) to (2,4) is rotated...

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Q: Find the area of the surface z = x^2 − y^2 that sits inside the cylinder x^2 + y^2 = 1

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Q: Use Cramer's rule to solve the system. 3х - 4y - 4 2х + 3у %3D 14 Write the fractions using Cramer's...

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Q: Solve the linear system of equations. Show all your work and all the steps. -3x+4y=8 5x+9y=10

A: Using elimination method for solving the linear equation.

Q: Let S = E an be an infinite series with partial sum equal to sy = 4 –. Determine the general formula...

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Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut ...

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Q: Based on the Fundamental Theorem of Calculus, show in two statements what may be vrong with the foll...

A: SOLUTION: 1. We have to consider limit of integration (-1,0) to (0,3) .    when , we are going to pu...

Q: Which of the following equations are true? Select three that apply. O zi - (v2) %3D (z:)'= V

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Q: What is the y- intercept of the function y = (x+2)(x-2)(x-4) ? O A. -16 О в. 8 О с. 16 O D. 32

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Q: What is the transform of f(t) = tsint, A s(s² – 1) 2s (s²+ 1)² 1 s2(s? + 1 -2s D s(s?+ 1) B

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Q: 1,- X73X+2 dx (x+リ) Izafhinx dx Ax. Iォfュース alx dx X43X+2 X+1

A: Since, you have posted multiple, we will solve only first part. If you want solution of other questi...

Q: Let f(r) = xe be defined on [1, o0) and let a, = f(n) for positive integers n. (a) Examine why the I...

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Q: Find the general solution of the following using the method provided: 2. Nonhomogeneous Equations: U...

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