16 Find the constants a, b, c, d, e for the ellipse r = 6+2cos0

Q: H.W: Evaluate the integral 1 1 1. || x²e*ydxdy o y

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Q: dy 1. Find for the following: dr :b. y sin y = ry

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Q: d Calculate ri(t)· r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

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Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0

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Q: 3. [_x dx √2 +*

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Q: Find the volume of the shaded region when revolved about the indicated axis. ... 21 x = /7+ y 14 (А…

A: This question is based on application of integration .

Q: Chain rule and impicity differentiotion Sappose that Forsy,z) =0 defines z ds d Funetion OF x and…

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Q: Write down the nth term of the sequence suggested by the pattern. 12, 15, 20, 27

A: here is the solution:

Q: c. The area between y sin x and the x – axis for 0 < x< a

A: Area between the y=sinx and x axis from x=0 to x=π

Q: Find the arc length L of the graph of r(t). r(1) = t³ i+ t j+V6r? k, 2 <t< 5 k, 2 <t < 5 L = i

A: Given : r(t) = t3 i + t j + √6 t2/2 k 2 ≤ t ≤ 5 Now, r'(t) = 3t2 i + j + √6 t k Arc Length :

Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Given; I=∫4xsin4xdx   ....1   As we know that; ddxax=axlna∫sinxdx=-cosx+C And ∫a·fxdx=a·∫fxdx, where…

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: 2. [x² √x + 1 dx

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Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

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Q: If a person learns y items in æ hours, as given by y = 19V2?, find the rate of learning for a person…

A: We need to find the rate of learning.

Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on…

A: Question is solved step by step.

Q: Determine whether the alternating series converges. 31n k Σ(-1) k k=3 The series diverges.

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Q: Find g'(3) given that f(3) = -2, f'(3) = 4 , and g(x) = . 2x+1_ f(x) * Answer:

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Q: dy for each of the following: (2 p dx 5. Find (a) y=|(cost+e' – sint+3t³ )dt 3. csin x (b) y = (t2 +…

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Q: Suppose that f(1, 0, − 1) = 2, and f(x, y, z) is differen- tiable at (1, 0, -1) with Vf (1, 0, -1) =…

A: We have to find out equation of tangent plane and parametric equations of normal at point (1,0,-1)…

Q: Find the mass and center of gravity of the lamina bounded by the x-axis, the line x = 49, and the…

A: Given problem:- Find the mass and center of gravity of the lamina bounded by the x-axis, the line x…

Q: √x²√9 - x² dx

A: We will solve the integration,

Q: A 25-year-old woman burns 550t cal/hr while walking on her treadmill. How many calories are burned…

A: A 25 year old woman burns 550t cal/hr while walking on tradmill.

Q: full

A: We will find the double derivative.

Q: Evaluate CF dralong the line segment C from P to Q. F= x j; P(3,2), Q(3,8) SCF dr- i

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Q: Evaluate F. dr. F(x, y) = 7xi + 4yj C: r(t) = ti + V4 - tj, -1 sts

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Q: H.W: which series converge and which diverge: 1. E 1 1 2. n=1 n=1

A: This is a problem related to series and sum calculation. Based on the general formula and concepts…

Q: Evaluate the definite Integral 4 600 St дос 2 √ 1 + 300²

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Q: what is 2x2

A: 2×2= 4

Q: 2021.10.02 11:01 THe COHHmon Factors of 36 and 54 are1, What I Have Learned In finding the common…

A: Divisibility

Q: Evaluate the integral of: * dx x2 – 2x + 50 -

A: Solution is done in step 2

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

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Q: x + 21 x + 1] 4 2. Find x and B, if B is symmetric. %3D

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Evaluate the integral of the following using Miscellaneous Substitution X Sdx 1+x 5.

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Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x²…

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t= 0 T(0) : N(0) =

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: A. (2x +x+3 dx

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Q: 1. (Profit) What is the impact of decreasing/increasing radius kettle (m) with regarding to heat…

A: In the case of kettle of radius m case 1. If we increase the radius of kettle then base of kettle…

Q: A in terms 2A Suppose A E Mn (R)and B. Find the eigenvalues of B %3D of the eigenvalues of A.

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Q: Vertical and Horizontal area of the plane region y=2x^2+1 and y=x^2+5

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Q: The Trapezoidal Rule ou e id b oblw Jeot en f (x) dx = h +f(x1) + f(x2) + ..+ f(xn-1) +f(xn)) b-a…

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Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

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Q: The equation of motion of a particle is s = t4 - 3t3 + t2 – t, where s is in meters and t is in…

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Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2

A: Explanation of the answer is as follows

Q: Evaluate F. dr. F(x, y) %3D хі + yi C: r(t) (5t + 1)i + tj, 0 sts1

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Q: Find the arc length of the parametric curve. = 4 cos(t), y = 4 sin(t), z = 3t; 0<t<T %3D

A: Use arc length formula

Q: Write the integral in terms of u and du. Then evaluate. u = 812 + 1 (Use symbolic notation and…

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