Find the lenegth of the cunde 312 2 from x=o to -

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Q: Evaluate the integral. (x16 + 16*)dx 1 15 + 12 In(16)

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Q: Find formulas for the functions represented by the integrals.

A: ∫2x12t2-8t dt

Q: Suppose that fT(20) (t) 2t+3 In(1661)(t2+3t+4) for 0 < t < 80. Find 10|20420-

A: If x represents the life surviving to age x, then Tx=X-x represents the future lifetime of x. The…

Q: Evaluate the following definite integral. x + 6 x² + 7x + 12

A: Factor the denominator. ∫01x+6x2+7x+12dx=∫01x+6(x+3)(x+4)dx

Q: Given So (x) = exp{- (Ax + Bx² + D* – } In D Calculate |10930 ƒor t = 10 round to 4 decimal places…

A: t|10q30 is the probability that a life aged 30 years will survive the next t years and will die…

Q: 1. S ef = c f

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Q: Evaluate the followingintegrals.

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Q: If f(2) = cosh (In a), then f'(7) = %3D Your answer should be rounded to the nearest whole number if…

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Q: figure th

A: 1) Here we have to find the ∠RST=?

Q: make the given substitutions to evaluate the indefiniteintegrals. dx/ √(5x + 8)

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Q: If f(z) = cosh(In z“), then f' (7) = %3D %3D Your answer should be rounded to the nearest whole…

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Q: Differentiate the following with respect

A: Given, f(t)=3cos(2t). Differentiate given function with respect to t.…

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫7√(7x - 1) dx, u = 7x - 1

A: ∫77x-1 dx Now put 7x-1=u⇒71-0=dudx⇒7 dx=du

Q: 10 (x2-5x+6)dx X-4

A: First of all we use long division method. Then we will find the integral.

Q: what is the DE for this?

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Q: For x=e6t y=531, find y" when y=1- - In 5 ( In 5- 2) 4 - (In 5- 1) 12 O 3 - In 5 (In 5- 2) 2 - (In…

A: topic - derivatives

Q: Find the first three terms of By substituting x=, find the appr6x value of V29 correct to three…

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Q: Show dz 4 In= 는I미페 - for a<0. x <

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Q: Evaluate the integral 4 + 4) (x² + 4x + 2)*dx by making the substitution u = x2 + 4x + 2. + C NOTE:…

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Q: Explain why AGHL ~ AGJK K I UE E

A: Explain the similarity

Q: Evaluate the following triple integral: 3 x x 6z dzdydx 0 0 y

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Q: Evaluate the following integral 4/12 dx 16 -x

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Q: Prove Ĵ Ha (as) th(x) e che = Hm (x) Hn(x) e^ dx = √x 2.11.8mm

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Q: SU = 94 in ; OU = (9x – 16) in %D %3D

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Q: Evaluate the following integral. 2x3 -11x2 +2x 16 dx |(22 – 4)(2² + 1) --

A: Evaluate  ∫2x3-11x2+2x-16(x2-4)(x2+1)dx

Q: You are given that so(x)=e -0,001z for x > 0 . Calculate 5|15q65

A: Solution: Given S0(x)=e-0.001x2             for x ≥0

Q: 6z8 + j5z* + 6 = 0

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Q: Evaluate using ALgebraic substitution y dy

A: Given  y3dy / (4-y2)3/2 We have to integrate this

Q: )find dy to yalog,o(3X+1)

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Q: of J76-0 do 9 ☺ Sal loe doc

A: To find Integral

Q: Find the Four er for r fces -| <x <o メ=0 ○くxく

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Q: Evaluate az+1)in(d.r+1)dr. 1 dx.

A: The integration function is ∫14x+1ln4x+1dx

Q: 7x" 3- 2 x5 dx

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Q: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: ß increases as µ approaches Howhen H, is false True False

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Evaluate The following integral. 7/4 3. 2x-X dx. (7² +1)(x-1) Gx+)

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Q: Evaluate the following integral: (x-2)ex2-4x, -1

A: We have to evaluate the integral: ∫-14x-2ex2-4xdx This will be solved by substitution method or…

Q: Find KCKT) if XC2) is given by: 3. XCZ) = (Z+1)(Z-1)

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Q: Consider the DE 0.

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Q: 5. y lnx – x In y = In e 2x

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Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a is the third last digit , b the 2™ª last and c the…

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Q: Evaluate the following integral. 00 dx ,2 x + 6 1

A: Now consider,

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫(3x + 2)(3x2 + 4x)4 dx, u = 3x2 +…

A: ∫3x+23x2+4x4dx Substitute the value of 3x2+4x=t. Differentiate the above equation w.r.t "x"…

Q: Evaluate the following integral. 45 S SS²² dz dx dy -411

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Q: * Please explain how to get from A to B using the above imstRuction s Tha ncs 0.11 9.0909 > x…

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Q: x". 2x*+ 3 ×

A: Given, y=x10-2 x9+3 x8

Q: fnd fue indefiniteintyral. Incx) de

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.