Find the arc length of the graph of r(t) = eviti + e¯V#tj+ 2tk, 0

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

Q: (n-2n-25n2 -80n+65)+(n-7)

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Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: Correct Consider the function f(x) = 3x - 9x on the interval [-4, 6]. Find the absolute extrema for…

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Q: Find the length of the curve 7 (t) = (3 cos(t), 3 sin(t), 5t) for – 4 <t <1 Give your answer to two…

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Q: Find the exponential model y = ae bx that fits the points shown in the table. 3 y 6. 1.5 y = 2e°…

A: In the given problem we input the value of x and get the value of 'a' &amp; 'b' with the help of…

Q: Find the particular solution determined by the initial condition. ds 17t +7t-6, s(0)= 86 dt %3D The…

A: The given differential equation is ; ds/dt = 17t2+7t-6, s(0)=86

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

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Q: Find the valve of k so that (2y sın x cos x -y + 2 y e** ) dx - (x - sın' x + kxye*) dy 0 becomes…

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Q: )Lim. 2. H-HCOSX-2Sin x

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Q: t-4 lim x-3-3-ax

A: We have to find out the limit

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

A: Formulae of the half-life of radioactive decay is given by: where

Q: Let R be the region that is bounded by the graph of y=2x and y=x^2+x-2. Graphs the region R and find…

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Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

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Q: dx .4

A: we have to find out the integral

Q: A recent survey conducted in a nearby town showed that 791 out of 1,495 people do most their holiday…

A: Here, the sample proportion is =7911495=0.5291 Now, for 90% confidence z=1.645

Q: Given f(x, y) = e"v, find

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Q: an+1 1. lim 0.5 an an+1 2. lim =1 an ant1 3. lim = 2 an

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Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: 2a The following diagram shows a triangle ABC. diagram not to scale Sin B Sin a 10 15 10 15 AC = 15…

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Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: aluate the integral sin³ .2 x + cos² x + 1 dx sin? x (cos? x + 1)

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Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

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Q: Find the exact length of the curve. 1 y = 1 < x < 2 4x

A: The given curve,   y=x33+14x, 1≤x≤2

Q: D is some triangular domain in the xy-plane with area equal to 9. S i the triangular area that is…

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Q: 2x + x² _ 4×-1 X-1

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Q: (c) Let f(x) =; for x * -K (x + K)" (i) Find f-(x). (ii) Use the result in (i) to find the function…

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Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)²

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Q: Use long division of pol

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Q: whether the selic) H6 use un appropriate test to determine whether the" selics gilon wnverges or be…

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Q: 5. A squirrel runs along the edge of a fence. The graph of the squirrelľ's velocity v(t), in m/sec,…

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Q: the bot test to determine it the use tollowing series converges or diverges

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Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: 12x° + 45x + 100x + 8 and classify them using a Find the critical numbers of the function f(x) :…

A: Solution: f(x)= -12x5 +45x4 +100x3 +8

Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

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Q: The function f(x) = 4 + 6x + 54x has one local minimum and one local maximum. This function has a…

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Q: The equation yz = 2ln(x + z) defines a surface S in R3. The point P(0,0,1) is on the surface. (a)…

A: The given equation is: yz=2ln(x+z)⇒f(x,y,z)=yz-2ln(x+z)...(1)...(1) a) Now, the equation of the…

Q: (a) -dx = +C. (b) -3 sinx +3 cos x dx = +C (c) -4e dx = +C.

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – a…

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Q: - numerical values only, do not type the units, space or comma.

A: here i am providing my handwritten solutio

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decimal places.) Half-life…

A: We have to find out the amount

Q: (a) Let L and L'be two lines in R3 L: L': = Y=2 = 2=5. Determine if the lines intersect at a point.…

A: We need to choose correct option.

Q: FIND THE GIVEN DIFFERENTIA Non Exact Equation ( 2x* - y) dx + x dy =0

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Q: 2x2 tan z If f(x) = find sec z f (x) = Find f (5)=

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

A: Work