G. Prove that the following functions u/v are harmonic; then find the conjugate harmonic function v/ u. Express u+iv as an analytic function of z. -y

Q: ? Question Classify the critical points of h(x, y) = x²y + xy² + x³y² + xy³ found in the previous…

A:

Q: Given ; = -5 cos 0 and r₂ = 5+5 cos 0 Sketch and then set up integral for area bounded by the…

A:

Q: Find the derivative of the function. <-2 g(x) = (7x² - - ² 4 4x + 7 g'(x) = 2 ((7x²-4) (28x²…

A: g(x)=7x2-44x+7-2 Chain rule: f(u(x))=f'(u(x))·u'(x)

Q: 6. S²2 (+1/12 - √x) dx

A:

Q: 5. 5 S x ³e x² dx

A:

Q: Q2/ Compute the following integral: 3 x √x - 4 dx

A:

Q: A flag of height F 1 55 feet sits atop a building of height B = 140 feet. The goal here is to find…

A:

Q: The sum of two positive real numbers x and y is 12. Find an x and y among these such that the…

A: The sum of two positive real numbers x and y is 12.

Q: Show that the points form the vertices of the polygon. isosceles triangle:     (4, −4), (5, 2),…

A: Solve the following

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: We have to approximate the given integral.

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 7 meters high with a…

A:

Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

A:

Q: Find the distance between the points. (−14, 1), (1, −7)                     units

A:

Q: 3) Draw the line segment whose slope represents the average rate of change from x = 0 to x = 3. Use…

A: As per bartleby guidelines we only give first question answers.

Q: F. Which of the following functions is entire? For each, justify. 1. f (2) = 1 + 1²/²

A:

Q: Find (3x + 4y)dA where R is the parallelogram with vertices (0,0), (-1,4), (-4,-2), and (-5,2). R…

A:

Q: .. Find the derivative of each of the following functions:- 1. y=(sin ¹x²+ 1+tan x

A:

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A:

Q: S2022-Math X Untitled document - Google Doc x | + KgMnhSischCY6IngmjxmLQEz3U86qFNPsb6nZE/edit Login…

A: Given function, g(v)= v³-27v+5 So g'(v)= 3v²-27 To get critical numbers of g(v) we put g'(v)=0

Q: a) dy dx xe ex²+ y(0)=1

A:

Q: Write the equation of a line parallel to the line: y = -x +3 that goes through the point (-6, -7).…

A:

Q: y = cos((pix)8)

A:

Q: - Save & Exit Certify Lesson: 2.2b Instantaneous Rate of Chang... Question 1 of 12, Step 1 of 1 In…

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = 3 (1+x) f(x) Σ = n=0

A:

Q: Find the distance between the points. (Round your answer to two decimal places.) (9.1, −2.6),…

A:

Q: Given the graph of the function f(x), answer the following question. B C F D -20 -10 A E -10 Of the…

A: Solution is here

Q: Find dy dx 2. y tan-¹(csch x³)

A: Given y=tan-1 (csch  x3 )

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: Given the function  y = 5 arcsin(x),  find  y'.

A:

Q: All exponential functions can be written in many forms. Write the function f(t) = 6100e0.07t in the…

A:

Q: Exercise 15.5.1 Evaluate the triple integral * "** (rz sin 0)r dz dr de. =0 Hint 8 X

A:

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

Q: A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t is dt…

A: y'=dydx=0.2y(1000-y) Solve for y in y'=0 0.2y(1000-y)=0⇒y=0, y=1000 Interval…

Q: Find the parametric equation of the line ( x-3, y+6 )•( 2,-3 ) = 0

A:

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

A:

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: The given curves are; y=x3 and y=2x2   Now find the point of intersection between the given curves.…

Q: 2 0 ¹³² [², [²³² ²² dz dy da. SIL Question 2. Evaluate the following integral

A:

Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: 3. Sxsin x dx

A: topic- indefinite integral

Q: The linearization at a = 0 to √8+7e is A + Ba. Compute A and B. A B= || ||

A:

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: Given cost and price (demand) functions C(q) = 110q+44,000 and p(q) = -1.8q +850, what is the…

A:

Q: (y¹x=i+ I 7² +11 -)dx + N(x,y)dy = 0

A:

Q: Q3/ solve the differential equation below: 1. 2-3x+2y=0 (Complementary Function) k

A: The given differential equation,       d2ydx2-3dydx+2y=0

Q: 3. Erin, Catherine, and Shannon are dividing a large bag of candy. They randomly split the bag into…

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: (3x²-3x-4) 2x²-3

A:

Q: 4. If u = xy + y²z³, where x = rset, y = rs²e when r = 2, s = 1,t = 0.

A: We have to find solution