Find the angle ✪ between v and w if v . w = // ||v||· ||w||. (Use symbolic notation and fractions where needed. Give your answer in terms of л.)

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A: given P'(t)=45e0.016t where t is population t years after the beginning of 1990 given population at…

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Q: day the scenano and complete the questions that follow. Rate of change of Rainfall In the rainy…

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A: Given that, (A) The series  ∑n=1∞sin(n)n2 ,  Since,   ∑n=1∞ sin(n)n2 ≤   ∑n=1∞ 1n2 which is a…

Q: 9. Let C be the part of the circle with radius 2 and center (0,4) that lies in the left half-plane x…

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Q: When the cost of producing a VCRS is given by C(x) = the average cost for each VCR is 200+500x400 ln…

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Q: Graph the two curves y=6x and y=6√x These curves cross when x=0. Find the x-coordinate of the other…

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Q: Use a calculator to find the area under the curve given by y=9x^2+1 between x=0 and x=2 Area:

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Q: tor los ( 121 ) –

A: Here we solve the given logarithmic.

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Q: 5. h(t) = 6e5t cos(2t) – e¹t -

A: ht=6e5tcos2t-e7tformula used : Leatcosbt=s-as-a2+b2Leat=1s-a

Q: Find the length of the curve over the given interval. r = 3a cos(?),       −  ? 6,  ? 6

A: r=3acosθ  Find the length of the curve over the given interval -π6, π6

Q: Find the area of the region bounded by the curves x4- 9x2 and x3 - 9x between −3 ≤ x ≤ 3. Show all…

A: We have given two curves and we have to find the area of the region between curves.

Q: 4.2 Find the area of the region bounded by the curves ª 9x² and xx 9x between -3 ≤ x ≤ 3. Show all…

A: We have given two curves and we have to find the area of the region between curves.

Q: 6. If cos 0 = 3π and ≤0 ≤³7, find the exact value of tan 20.

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Q: [/x dr. dx

A: Use C as arbitrary constant

Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: 2 6 f(x) dx

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Q: If the total cost function for producing x lamps is C640-304 dollars, producing how many units, x,…

A: The total cost function is: Cx=640+31x+0.4x2

Q: Convert the point (r, 0, z) = (2, 2π, - 4) to Cartesian coordinates. Give answers either as…

A: 3D-Geometry As per guidelines, one question can be answered out of multiple different questions.…

Q: Find the directional derivative of f(x, y, z) = z³ - x²y at the point (-1, -2, 4) in the direction…

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Q: INTEGRAL CALCULUS 3. Evaluate: f sin(lnx) dx e²y dy √1+ey 4. Evaluate: f

A: To evaluate integrals

Q: Write the sum eis + eπ/6 + e + ... + en in summation notation in terms of k. (Use symbolic notation…

A: let  K=eπ5+eπ6+eπ7+.......+eπn

Q: n=3 (−1)n+1 22n+1

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C…

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Q: 7. Find all solutions to the equation cos x secx = √2 cos x in the interval [, 2π).

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Q: Find the horizontal and vertical intercepts of the rational function. (If an answer does not exist,…

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Q: Set up but do not evaluate a triple integral to find the volume of the solid R bounded above by 2x +…

A: We are asked to setup  triple integral

Q: Find parametric equations for the tangent line to the curve r(t) = (t² +e²t)i + (2+e¯³)j + (t³ −…

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Q: Evaluate (3x + 3√Y) ds where C is given in the accompanying figure. √(3x + 3√y) ds = (Type an exact…

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Q: Given the tangent to y = lnx is y = its equation. at (e, 1). Find a parallel tangent to y = e* and…

A: Given that the tangent to y = lnx is y=(1/2)x at (e,1).  Here we have to find a parallel tangent to…

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Q: v(t) = a(t) = Velocity and Acceleration A brick becomes dislodged from the top of a building (at a…

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Q: Find the length of the curve. r(t) = t² i + 9tj + 4ť³/2k, 1≤t≤4

A: Given vector function is: r(t)=t2i+9tj+4t3/2k We have to find length of curve for the interval [1,4]

Q: 4 Find f such that f'(x) = - f(x) = 0 √√x f(16) = 44.

A: Given,            f'x=4x , f16=44

Q: Read the definition of the natural logarithm function. The natural logarithm of a number x>0 is…

A: The natural logarithm of a number x>0 is lnx=\int_1^x (1)/(t)dt

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: Here the given function is f(x,y)=x2y25x4+y4 We have to find two paths of approach from which we can…

Q: Derivatives involving ln x Find the following derivatives d/dx (ln(lnx)) d/dx (ln(x+1/x-1)) .…

A: formula used (i) d dx(lnx)=1x(ii) d dx(xn)=nxn-1(iii)  lnab=lna-lnb(iv)  lnxn=nlnx

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: A farmer Three sides will be made of a carbon-wire fencing at the cost of $4 per linear foot. The…

A: Let  Length = x  Width = y     Area = 2000 square meter xy=2000y=2000x

Q: Find the derivative of the following. a) y = cos (4x³ + x²-2) b) Y=xsin ''(x) + √√1-x²

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Q: Following function f(x ,y) = x3 - 3x2y + 2y2 - 12 Verify that 2* d2f / dx2 + 2*d2f / dydx +…

A: f(x,y)=x3-3x2y+2y2-12formula used is(i)  ∂ ∂x(xn)=nxn-1 (ii)  ∂ ∂x(constnat)=0

Q: Find an antiderivative of 8x7+ x4 in the variable x. 23 (Note. Use C as your constant, if needed.)

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Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (3, -2) and the direction in…

A: The function is given by fx, y = lnx2+y2 The point is x0, y0 = 3, -2 To evaluate: The maximum rate…

Q: se the Laplace transform to solve the given initial-value problem.   1. y' − y = 2 cos(2t),  y(0) =…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: use the Alternating Series Test to determine if the series If the Alternating Series Test does not…

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Q: 110 1.0

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Vx,y,z=3x2-2xy+xyz

Q: Find the logarithm log(36)=

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