ら)1f u-L -*9 sin (2x ty), x = s? + 2t" and y= 2s -t" au using at find the chain rule Ond as

Q: tan(1 – x) limx→1 2 2x +x – 3,

A: Limit

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: Problem 5 Solve (y')? + 2 y' – 3

A: We need to solve D.E.

Q: 7. Evaluate sin xcos x dx. cos* x +C 4 1 C) 4 sin* x A) +C 1 sin* x B) 4 cos* x +C D) +C 4 a O c O d

A:

Q: - 12i + 4j+ 6k| Select one: О а. 14 О ъ. 20 О с. 16 O d. 18

A:

Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: Solve the triangle. Round your answers to the nearest tenth. a = 23, c= 27, b= 24 mLA = 53.2°, mZB =…

A: The Cosine rule: a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=a2+b2-2abcosC Given: a=23, b=24, c=27

Q: tan(1 – x) 2 limx→1 2x +x – 3

A:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: Solve the following:

A:

Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: Topic:- differential equations

Q: Problem 2 Solve and specify method used. х dy — у dx y2 x3 dx

A:

Q: Find maclurine seris sin

A:

Q: In AZXY, y = 11m, x = 12m, mZZ = 141°. Find the area of the triangle and round to the nearest tenth.…

A: Find the area of triangle

Q: In the following exercises, find each indefinite integral by using appropriate substitutions. dx 8.…

A:

Q: 4In(Arctan x) = 1-y

A:

Q: 3. In the differential equation (9x - 4y+ 4)dx-(2x – y +1)dy = 0, the lines 9x – 4y +4=0 and -(2x -…

A: here we have to find intersecting point 9x -4y +4 = 0 9x -4y = -4................(1) -(2x-y +1) = 0…

Q: Use substitution to convert the integrals to integrals of rational functions. Then use partial…

A:

Q: c) y4 4 3 -2- 1- C -2 -1 4 31 -2 + (O

A: Given query is to find the equation of the line.

Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

A:

Q: park ranger at point A observes a fire and estimates the angle of elevation to be 25 degrees.…

A:

Q: Which of the following is NOT a separable equation? Select one: O dy dx xy dy = xe4 dx O None. dy =…

A: For a separable equation, Variables can be separated each side of the equation.

Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

A:

Q: If f(x) = 7 sin(8a)sin-(x), f'(x) -

A:

Q: If h(x) = V6 + 5f(x), where f(2) = 6 and f '(2) = 3, find h'(2). %3D h'(2) = %3D

A:

Q: Let f(æ) = tan-(sin(7«)) f'(x) =

A: Let's find.

Q: Q: The differential equation whose auxiliary equations roots are 2,2,1 is (a)Ae* + Be2x* + Ce2x (d)…

A:

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

A:

Q: x5V16x6 – 24x3 + 9 dx -

A:

Q: (c) sin 3+ 2 sin? B = 1 [0, 27) 3+2sin B1 sin sinf-o osin ßt=0 Need to factor first

A:

Q: Determine if the infinite series is convergent or divergent. State the test that you're using and…

A:

Q: Тапх-x 1) lim x-0 x-Sinx

A: We are asked to find the limit of the function

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A:

Q: Match the point in polar coordinates with either A, B, C, or D on the graph.

A: The given polar coordinate -2,-π2

Q: 4 Consider the following geometric series: 2 + 8. 16 + ... Identify a and r, find a formula for the…

A: solution:-2+43+89+1627+...first term, a=2common ratio, r=8943=23general term, an=arn…

Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

A:

Q: If a series Σ an n=1 is convergent, then it is absolutely convergent.

A: 1)∑n=1∞ an is convergent,then the series may not be convergent.for example, an is alernating…

Q: x sin(2x2)dx

A: We have to find the integral.

Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

A:

Q: dy Differentiate implicitly to find xp ex*y = 7x+ 3y +3 Evaluate the derivative of the each side of…

A:

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: The derivative of a function F(x) is f(x)=4x3. If F(x)= 10, what is the constant of integration? a.…

A: Topic:- function And its antiderivative

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: Question 11 Find the area of the triangle having the given measurements. Round to the nearest square…

A: Given    Angle C = 100°   Side a = 3 yards    Side b = 8 yards

Q: Problem 4 Solve x Iпy lnx dy + dx

A:

Q: -6- They" for y = -9 3x-5

A:

Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

A:

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A: