Vx - х2 dx;

Q: Age-0.26t, where t represents the number of A piece of equipment depreciates according to the functi...

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Q: Use the Growth Rates of Sequences Theorem to find the limit of the following sequence or state that ...

A:   The given equation is an=10nn102n. Growth Rates of sequences: If the increasing growth rate of the...

Q: Find the sum of the series. Σ (-1)" 32n+1 (2n+1) n = 0

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Q: Given: 1. v = 2i – 4j + v5 k, u = -2i + 4j – V5 k 2. v =i+k, u = 5i + 12j | 3 4 Find: a. u· v, |v|, ...

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: 1 Question 3 Determine whether the series ) converges or diverges. Be sure to name any test(s) used ...

A: Given problem:-

Q: Determine whether the following series converges. k E (- 1)k +1, 22k + 1 k=1 Select the correct answ...

A: Heren the given series is: ∑k=1∞(-1)k+1k22k+1  

Q: Find the area bounded by the curves if x - 2y = 0 and x + 2y - 8 = 0. 1. For pt. of vertex x2 – 2y =...

A: (1)x2-2y=0y=x22for vertexdydx=02x2=0x=0vertex0,0(2)x2+2y-8=0y=8-x22for vertexdydx=00-2x2=0x=0vertex0...

Q: sin-e)+sec-1(x) tan-1x+tan-1 d Find dx

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time pass...

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Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your su...

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Q: Consider the image below y = f(x) a b Let a = 6 andb = 7. If the average value of f(x) on the interv...

A: Given that a=6 and b=7. The average value of f(x) on the interval [6,7] is 18.

Q: Which of the following limits will be indeterminate/undefined value when direct substitution is appl...

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Q: Use cylindrical shells to find the volume V of the solid. The solid torus (the donut-shaped solid s...

A: Solve the following

Q: . Credit Card Delinquency Rate The credit card delinquency rate stood at 5.7% at the beginning of 20...

A: To find: The credit card delinquency rate at the beginning of 2012. Given information: The credit ca...

Q: x² +8x – 4 -dx = Inx + aln(x - a) – aln(x + a) + C x³ – 4x 7. x+1 1 + bln - x³ (x – 1) 8. 4xdx 3 a+ ...

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Q: 10. ((ex-2)2 e 2x + 4 S dx

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Q: On] and g. Be sure to put a scale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3...

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Q: 3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at the r...

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Q: Find the vector component of v = 2i – j + 3k along b = 4i + 4j + 7k and the vector component of v or...

A: To find the vector component of v=2i-j+3k along b=4i+4j+7k and to find the vector component of v ort...

Q: Given the expression an = V4n² + 3n – 2n for n > 1 Check whether this is convergent or divergent: an...

A: The given sequence is a an=Sqrt(4n2+3n) -2n. 

Q: 94= are tam 4 Sknk 345 cosx

A: y=arc tan(4sinx3+5cosx)dydx=11+(4sinx3+5cosx)2ddx[4sinx3+5cosx]dydx=4[(3+5cosx)cosx-sinx(-5sinx)(3+5...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find unit vectors that satisfy the stated conditions.a Same direction as -2i+7j.b Oppositely dire...

Q: Graph the piecewise-defined function. x-3 if x55 f(x) = 2 if x>5 Choose the correct graph. Oc. OD. O...

A: here is the function divide in two part first <5  and second is >5 so for >5 function is co...

Q: Find the average value of f(x) = Vĩ on the interval [0, 25]. favg %3D Enter your answer as a fractio...

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Q: Directions: Solve the following. 2.) what is f') if (x) - (2x² +1) (X-x) ?

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Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

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Q: 5 + 4x 35. у - %3D х+3

A: Find where the expression 5+4x/x+3 is undefined.   At x = -3 function is undefined    n = m = 1

Q: Intervals where g is concave down: x-values where inflection points occur:

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Q: value, moving from left to right on the graph, is a Select an answer v Select an answer minimum maxi...

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Q: y2 – 2y + 3 2.5 Vy3 - 3y2 + 9y – 21 dy

A: 2.)∫y2-2y+3y3-3y2+9y-215 dy=13∫3(y2-2y+3)y3-3y2+9y-2115dy=13∫3y2-6y+9y3-3y2+9y-2115dy=13∫y3-3y2+9y-2...

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

A: To answer the given questions using the given details.

Q: goldsmith finds that the demand for gold is governed by p(x) = -x² + kx, here x is in (troy) ounces,...

A: Solution is written in below steps.

Q: Car 1 is heading due south from Mathtown at a rate of 41 miles per hour. Car 2 is heading due west f...

A: Explanation of the answer is as follows

Q: Set up the definite integral(s) equal to the arc length of the curved defined by the parametric equa...

A: Use the formula of arc length in parametric form and simplify. 

Q: Let f(x) = x2 ( + 2) and calculate f(x) dx by using integration by substitution. What was your subst...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t + 64t...

A:

Q: Evaluate the geometric series or state that it diverges. 00 k 3. Σ k = 0 Select the correct choice b...

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Q: Find the Maclaurin series for f(x). f(x) = xe2x f(x) = > Σ n = 0

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Q: Je sin( -4x)dx 3r Su

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Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: 4. a² + 3x – 5+ 3y* – 6y = 7z 5. Gy" – 9r = 8y + 2 – r 6. z - V5r² – 7 = 2r

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Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: Find the average value of f(z) - Va on the interval (0, 16). favg- Enter your answer as a fraction.

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Q: Find y" if y=3xsinx

A: Given query is to find the double derivative of the expression.

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 3k w =i+ 6j + 4k Find the v...

A: Let's find. 

Q: Use the Limit Comparison Test to determine whether the series converges. +6 Σ 3 k 1 Vk +4

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Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

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