nHL. (x-2)" n=

Q: Find dy for the following equation. =x/ .3 y =xV 13-x dy =dx %3D

A: Given, y=x13-x3

Q: Prove that there exists a value of x so that cos x = cos-1x

A:

Q: Subject: Differential Equation Topic: Coefficient Linear in Two Variables 1. (x - 4y -9)dx + (4x +...

A:

Q: The City Council proposed to utilize government-owned land with an area of 15,000 square meters. One...

A: The solution is given below:

Q: (2x + 1) (x + 4) (x – 3) dx (antiderivative) (x – 2)°(x + 3)³ B.

A: We have to solve integration

Q: Translation Theorem Evaluate Evaluate

A:

Q: Given f(x) = 4 – 12x + 5x +1 %3D The critical values of f'(x) are z = Concave Down Open Interval is ...

A: Given:         fx= 4x3-12x2+5x+1       f'(x)=ddx4x3-12x2+5x+1                =12x2-24x+5      f''x=d...

Q: a+11 if a 10

A:

Q: what is the minimum possoble perimeter for a rectangle whose area is 100 in^2

A:

Q: III. Obtain the differential equation associated with the given primitive, A and B being arbitrary c...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find the slope of the tangent line to the curve at the given value of the parameter. x= 2t2 +5t y=t3...

A:

Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0sts n.For...

A:

Q: Find the slope of the tangent line to the curve at the given value of the parameter. r=cose at 0= - ...

A: Given         r = cos θ ---------------------------------------(1) Differentiating with respect to θ...

Q: 20. Determine how long would it take $5000 to grow to at least $6750 at an annual interest rate of 4...

A:

Q: Let r(t) = 2 sin(t) i+ 2cos(t) j+ 4 sin²(t)k a. Find a tangent vector at the point P = 7() = (1, v3,...

A: Given:r(t)→=2sinti→+2costj→+4sin2tk→So,r'(t)→=ddt2sinti→+ddt2costj→+ddt4sin2tk→      =2costi→-2sintj...

Q: The differential equation dy + +1 dz is classified as O First Order Linear Differential Equation O E...

A:

Q: 1 -Write a power series for the function 1+x

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…By usi...

Q: Select the correct answer from the following list. The level curves of the function h(x, y) = 2 · y²...

A: Solved below

Q: Evaluate USing Partial Fraction

A:

Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –...

A:

Q: How would I go about solving ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2...

A: We will find out the limits first. 

Q: a a +b a + b +c Prove that 2a За + 2b 13a = a³. c) 4a + 3b + 2c ба + 3b 10a + 6b + 3cl -4.5] [8 -4 d...

A:

Q: The Solution Use Ratio test 4n+3 3n-5,

A:

Q: 3. Let r(t) = 3 sin(t)i+ tj + 3cos(t)k Find r'(t) 0 st < 2n а. b. Find T(t), unit tangent vector Fin...

A:

Q: 3. Let r(t) = 3 sin(t) i+ tj + 3cos(t)k Find r'(t) o St s 2n а. b. Find T(t), unit tangent vector Fi...

A:

Q: 2. Let a, b be real numbers for which b > a. Let functions f,9,h be defined on a domain [a, b] in th...

A: Solution is here

Q: . Form the differential equation representing all tangents to the parabolas y^2 = 2x.

A:

Q: All8 and his WITE operate a restaurant where they sell all their meals for $14.00 each. The markup o...

A:

Q: dr Let A be the area of a circle with radiusr. If dt dA = 5, find when r = 5. dt %3D

A: Here we use the application of derivative.

Q: 1. Consider the nonzero complex numbers 21 = 3i, z2 = 7i and z3 = 7i. (21 + 22 + z3) (a) Evaluate (2...

A:

Q: Let y = = exp( V7 +9x°). Find dy/dx.

A:

Q: Question 3 Find the equation of the normal line to 6 y=531 at y=1. O y= +1 In 5 In 5 O y=- 2x+3 In 5...

A:

Q: Find the line integral of the field F = over the portion of the ellipse * + y = 1 lying in the first...

A:

Q: Find the length of the parametric curve. X =t+ sint -T<t<π | ly=t2 + cost Set up the integral, then ...

A: HEre we have to find the arc length of the given parametric curve

Q: Write the differential equation for each of the curves determined by the given  conditions. 1. Obtai...

A:

Q: -. y = Ae* + B . x = A sin(y + B)

A:

Q: 1. Find the differential equation of all straight lines at a unit distance from the origin.

A:

Q: 1 4 [5 0 lo 4 -3] b) Given D = -2 3 1 -2 1 85 72 -54] A =| 50 32 -24. -35 -24 18 Find a matrix BT , ...

A:

Q: The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is t...

A:

Q: d3u 3): d²u 4u = 0 %3D - - dt3 dt2

A:

Q: Obtain Differential Equation by Substitution:  DE dv/du=(u-v)^(2) -2 (u-v)-2

A:

Q: Given f(x) = - 5x²(x – 5) + 5. Then, f''(x) = (A) -30x + 50 в -30 -15+ x D -15

A: Given: f(x)=-5x2x-5+5 To find: f'''(x)

Q: dx (1–sin x)?

A:

Q: 7. A, B, and C are subsets of a set S. Prove the following set identities using the basic set identi...

A:

Q: If the supply and demand functions for a commodity are given by p-q =10 and q(2p-10) = 1000, what is...

A:

Q: For cos x-sin y 2 find the value of k so that ky" -1 at y: 6. 4 3. 4.

A:

Q: Find the solution of the following differential equations

A:

Q: Find the COORDINATES of the inflection point for the function shown below. If there are more than on...

A:

Q: Question 22 A table of values for f. g. f, and g' is given. f(x) g(x) f'(x) g (x) 3 2 4 1. 7. 3 2 8....

A: We have to find value of h'(2).

Q: Given g(y) = determine g'(y). (2y-3)ª 5 (A 4(2y- 3)ª -40 B (2у- 3)5 -40 (c) (2у- 3)3 5 D 8(2y- 3)5

A: