Calculate Calculate 1 f (425 - / +6²-8) dz 4x - dx. X S 5² - -x³√x² + 3 dx 3 ln³ Calculate 41³ (2) 7x dx

Q: Q3: A. Find Wer if W = f(x, y) {x = reost, y = rsint W₁,

A: From chain rule we know if w=f(x,y) and x=g(r,t) and y=h(r,t) then, ∂w∂r=∂w∂x∂x∂r+∂w∂y∂y∂r

Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² lim (,) (0,0) 24+24 y² (a)…

A: To find the limit if exists or to show that the limit does not exist.a limx, y→0, 0 3x2y2x4+y4b…

Q: 1. Given: F(x) = 3x²+x-4, G(x) = 1 -x and H(x) = e. Find the following. M d. H (0) F (1) h i j F 2x…

A: NOTE: Refresh your page if you can't see any equations. . take x=0 ...................answer(d)

Q: Find the following limit. 2 lim h→0 √2h+1 +1

A: Limit

Q: A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of the metal…

A: Given ,  A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of…

Q: If the value of land in an area is increasing 6.4 percent a year, how long will it take for property…

A: This question can be solved using the concept of compounding.

Q: Determine the below equations of the eventual to find Horizontal asymptotes (HA) or Vertical…

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Q: For each statement,write true or false {0,2,6}={6,2,0} {2,3,4} =[2,4] {XER:0≤x≤6}= [0,6]…

A: We will  state whether the statement is true or false.

Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 3)  and contains…

A: Question : Find an equation of the plane.   The plane that passes through the point  (−2, 1, 3)  and…

Q: ? 4 -1

A: We will find the required.

Q: 5.) Find the limit. When necessary, state that the limit does not exist. x² + 3x-18 lim Xx-3 x-9

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Q: Find the next three items in the pattern. Be sure you understand (can justify) your reasoning. A0,…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: lin +²-25 ++-5 2t² + 1lt +5

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Q: Find the domain f(x) 0 {x|× * of the function. 3 cos(x) 1 - sin(x) T x + 2n*, n an integer 4 0 {x |…

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Q: Make a table of values for the equation. xy = 5 X -4 -2 -1 I 이 1 2 4 y ☐☐☐☐☐☐ Sketch a graph of the…

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Q: Find the domain of the function. (Enter your answer using interval notation.) G(x): 8x + x X Sketch…

A: Solution ) G(x) = (8x + |x| )/x G(x) = 8x/x + |x|/x  G(x) = 8 + |x|/x  If x = 0 G(x) = 8 + 0 = 0 If…

Q: How did dy dx Show solution pls. ty became d dx (xy)

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Q: y' = y² - e³xy² subject to initial condition of y(0) = 1

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Q: In problems 16-19, each limit represents the derivative of some function f at some number a. State f…

A: This question can be solved using the concept of derivative of a function y=f(x) at a given point…

Q: Express the repeating decimal as a fraction. 0.9012 82 82 82...

A: GIven problem:- Express the repeating decimal as a fraction.                       0.9012 82 82…

Q: Determine using Cauchy Riemann equations the function below is analytic or not in z-plane? f(z) = x…

A: See the details solution in below

Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: 3. dy + dx x² (y² + 3) y (x³+1) = 0.

A: Here we have to solve the differential equation.

Q: Q4) Find the result of the following: 1. (330i19)/(2-1) =? 2. 3. 4. Beta function, ß (5/2, 1) =?…

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Q: Consider the function defined as follows: f(x) = 5x² - 8x + 10. f(3+h)-f(3) h as happroaches zero.…

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Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

Q: DIGITSL FORMAT wing double integrals and draw th xdy

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Q: Make a table of values for the equation. y = 5x X -2 1 1 2 || y Sketch a graph of the equation.

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Q: Convert in radians to degrees: 3 4

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Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

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Q: Convert 1.2 in radians to degrees:

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Q: Evaluate ex+y dx dy In8 1-y y=0x=0 O e-In2 eln 8-7 025

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Q: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: Find ¹ 2 2x² ке 22 дуг Z=109 √√x²+² xy

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Q: 1. Prove that for all x, y ER, max (x, y) x+y+lx-yl 2 x+y-lx-yl 2 and min (x, y)=-

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Q: 4. Evaluate y ds where C is the upper half of circle x² + y² = 9, traversed in the counterclockwise…

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Q: Describe the end behavior of the function h(x) shown, using limits at infinity. 3 2.5 2 1.5 1 0.5 04…

A: To describe the end behavior of the function hx shown, by using the limits at infinity.

Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: make

A: We have to find the following conditions according to the given information

Q: 1. Let F(x)=√1+t² dt. Find F'(1).

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Q: What are the eigenvalues and eigenvectors of the following matrix? M= [ 0 1] [1 0]

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Q: 2. Is it possible for a function f(x, y) to satisfy both f(1, 2) = 5 and f(0,0) = 5? If yes, gi- an…

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Q: The angle between 0° and 360° that is coterminal with the 1545° angle is degrees.

A: Ans = 105 degree  For detail go through the solution ...I have solved in detail

Q: Assume that is an acute angle. If sec8=6, find the exact value of sin 8. Write your answer as an…

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Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

Q: Find the particular solution of y²dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

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