Solve: •2-3x 5² 5²-³x fx+y x dz dy dx 0 0

Q: 11. According to the methods of partial fraction, there is an equation of the form I B C A+ +…

A: Follow the procedure given below.

Q: 5. Two lines have equations: L₁: x = 3t + 1, y = 3, z = −t + 2, teR and L₂: x = 2s +3, y = −s + 1, z…

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

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Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

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Q: Use Integration by parts to solve: Sxe cosxdx

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Q: C. h(x) = = |x| x+3' x > 0

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Q: Right A EFG has its right angle at F, EG = 8, and FG = 6. What is the value of the trigonometric…

A: Given, In right ∆ EFG the right triangle is at F. EG = 8 & FG = 6 TO BE FOUND : Cot G Sin E Sec…

Q: (a) Given the curve of y=x -x(x+3)(x-2)(x-5) i) Sketch the graph for -4<x<6 ii) Find the area of the…

A: Given curve y=110x(x+3)(x-2)(x-5) First we find point of intersection with X-axis, Therefore put y=0…

Q: a) tan 30° 48' 48 00 (30+ 0.81 lan cosech 2.35 tan 30° an 1 ( 30.81 0, 954 } tanh 0,378 0,358 0,358…

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Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

Q: x² +1 x³+1 B x²-x+1 B x²-x+1 16. Partial fractions of A - a. x-1 A b. x+1 - will be of the form C.…

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Q: My - Nx If = =Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has…

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Q: QUESTION 17 15) Using the graph below, find: O Does Not Exist 04 O-5 0 0 Click Save and Submit to…

A: Given query is to find indicated limit.

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function is:

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

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Q: A total of $7000 is deposited into two simple interest accounts. In one account the annual simple…

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Q: (2x² - x - 1) x³ - x² ; 2 dx

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Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

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Q: The following five statements, numbered 1 to 5, were made about the graph of = tan c. Statement 1…

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Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…

A: Let's find absolute error.

Q: Determine the absolute extrema of the given function on the specified interval. 1.) f'(x) = 1 + 80x³…

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: If there are three functions, such as f(x) = x, g(x) = 2x and h(x) = 3x. Then find the composition…

A: We know, [f∘(g∘h)] (x) =fghx

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

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Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: 2) A bacteria culture which started at 2, 000 became 6, 000 after 4 hours. After how many hours will…

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Q: You create a container by rotating the curve y = 4 ln(x-6) for y=0 to y = 9 around the y-axis. You…

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Q: Use Simpson's rule of find the integral 01²6 -S Sin 2x dx using Six Slices. X

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Q: Suppose that x = 3 tan 8. Find an expression for cos in terms of x. (Hint: Draw a triangle.) 3 a. 3…

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

Q: Find the area of the region enclosed between y - 4 sin(x) and y = 4 cos(z) from z= Hint: Notice that…

A: We have to find area bounded by the given curve.

Q: Find the intervals on which the function is continuous. 4 y = (x+4)2+8 O a. (-∞, 24), (24, ∞) O b.…

A: Given query is to find the interval where function is continuous.

Q: [ 1 x2 -a2 dx

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Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Above question is solved.

Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: Find an equation for the rational function in the given graph. -10 -5

A: let's first check how basic graph looks like:  y= (1/x) the given graph has curves on opposite…

Q: -0.2 e2x sin(x) dx

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Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: iv) Sº³ §¾½5 √xª + 1 dxdy

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

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Q: Q2: write and prove an Approximation property for the Supremum.

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out and radius of disturbed…

A: Here we have to use the concept of the derivatives

Q: 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through…

A: 11) Given that the vertices 0,±5, which are on the y-axis and passing through the point 4,2  Since…

Q: limg0 (csc y Arcsing”

A: Given problem:- limy→0cscyArcsiny2

Q: Correct Use the midpoint of each subinterval for the value of each ck to find the Riemann sum Ss for…

A: Given f(x) =7-x    ; [-7, -2]   and   n=5

Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of…

A: Note that, an asymptote is a straight line that constantly approaches a given curve but does not…

Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: This is a problem related to rate of changes. Based on the general formula and concept we will…

Q: Farmer Brown had ducks and cows. One day she noticed that the animals had a total of 12 heads and 42…

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Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

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