Approximate the area under the curve of y =-x+ 5 on the interval [0,2] using a right hand approximation using 5 subintervals.

Q: Verify the formula LF a ds = S cdiv F dV in the Divergence Theorem by evaluating the surface…

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Q: Use the plot provided below to match each statement with the correct match given the choices below.…

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Q: Evaluate (2x – y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 5

A: To evaluate line integral over X axis ,take y=0 and dy =0.

Q: 3 (2). Consider the solid Q bounded by the surface of the equation y =x² + z? and the planes, zV3 =…

A: Here's the solution... please have a look at it.. Answer: option C

Q: A region Rxy, in the XY plane, is shown below: A) 1- JJRa 2r + 3y – 6 = 0 2r +3y+1 0 Rry %3D…

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Q: Evaluate (2x - y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 5

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Q: Find the limit. lim (t i – 4 j + t k) lim (t i – 4 j+? k) i i+ i j+ i k

A: The given limit is; limt→9t i-4 j +t2 k

Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where U + dy

A: Given

Q: 6x 60. Find all local extreme values of f(x) The FIRST local extreme value, moving from left to…

A: Given that a function and we find the value of extreme local maxima and local minima.     Here i…

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Q: Time of Death Newton's Law of Cooling is used in homicide investigations to determine the time of…

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 8)

A: Here we have to evaluate        ∫c (2x-y)dx+(x+3y)dy

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: (3x-2)cx In the integration --17 what integration method is appropriate? a. Integration by Power…

A: Use integral methods

Q: [3 – 5i 2+41. L6 + 7i 1+8i! find the conjugate of its transpose. Given A =

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Verify Green's Theorem by evaluating both integrals y² dx + x² dy = / dA дх ду for the given path.…

A: Here we have to verify the Green's theorem.

Q: A2. (a) (i) Find the future value of £2000 when it grows at an annually compounded rate of 5% for 10…

A: To find the future value of £2000 when it grows at an annually compounded rate of 5% for 10 years.…

Q: Find a power series solution around xo = 0 for y" – xy = 0

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Q: Differentiability of f(r, y) at point (a, b) Let f: R R be a function given by if (r. y) (0.0). f(r,…

A: Given

Q: The half-life of a radioactive substance is 11 days. After 3 days a sample of the substance has been…

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Q: An investment grew by 4% in the first year, 6% in the second year and 10% in the third year with…

A: Annual average growth rate is calculated as sum of each year growth rate divided by the number of…

Q: Find the fourier senes for the Periodic extension given below! te [o, 2] X (t) = -1 te [2,4]

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Q: ||r'(t) × x r" (t)|| Use the formula k(t) to find k(t). r(t) = t’i + tl5j %3D K(t) :

A: The given formula is; κt=r't×r''tr't3 And rt=t2i+t15j   As we know that; The Power law; ddxxn=nxn-1

Q: Find f such that f'(x)= 1(4)= 20.

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Q: What is the number halfway between 3 - 1/3 and 2 + 5/7 ?

A: Average

Q: 31 + 98.6, where Tis the temperature, in degrees Fahrenheit, at time t, in hours. R+1 The…

A: The temperature T of a person during illness is given by Tt = 3tt2+1+98.6°F…

Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) = to find k(t). r(t) = e"i+etj K(t)

A: We have to find k(t)=?

Q: (b) Given the demand function P = 120 – 3Q, fixed cost, FC of 50 and variable cost, VC of 5 per unit…

A: Find your answer below

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

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: F(4) = [, * G&+2) dt (3t +2) dt

A: Consider  F(x)=∫2x+2(3t+2)dt

Q: Compute the Laplace transform of 10 + 5t + t2 – 4t3

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Q: 4), (-5, -7/4) 1) Yes 2) No

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Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Given the Total Cost function, TC = 10 + 5Q?, find the marginal cost function, MC when Q = 10. [2]

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: First I have changed the line integral into double integral with the help of Green's theorem and…

Q: Find the derivative of y(x) = In (8(In(x))'). (Use symbolic notation and fractions where needed.) dy…

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Q: In the integration of (csc 5t)(cot 5t) dt, what is the correct "u"? * cot 5t 5t csc 5t O (csc…

A: This question is based on indefinite integral.

Q: 5. x = 1-, y = 6 – 7+

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

A: Solution is done in step 2

Q: H.W: Which of the sequences {a,„} converge and which diverge: 7 1. a, = 2+ (0.1)" 2. а, n

A: A sequence <an> is converges if limn→∞ an is finite and exists.

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

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

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

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 24x from (24, 24) to (0,0). NOTE:…

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Q: Consider the curve parameterized by x 3t2 15 and y 2t 15. Find equations for all tangent lines to…

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Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges.…

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