x*- 2x³+x² xdx

Q: Verify that the given functions are linearly independent by evaluating the Wronskian at x = 0. {e2a…

A:

Q: 2х + 1 (х — 2)(х — 3)2

A:

Q: wa’y+ xy + tan (wx) = Z

A: Given that,    z=wx2y+xy2+tanwx

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A:

Q: Assume Za is opposite side a, Zß is opposite side b, and Zy is opposite side c Solve triangle ABC if…

A:

Q: 17. If you know f(0) = 625 and f (4) = 16 then: %3D %3D (a) Find a formula for f(x) assuming that it…

A: 17.A function satisfies that f0=625 and f4=16

Q: 1 -2 Inx x-1 11. lim,» x→1

A:

Q: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)>0 ⇒2t-14>0…

Q: (24) Evaluate the integral: / Va sin(1+x/²)dx. (25) Find the equation of the normal line to the…

A: Use equation of normal line

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 3 and roots of multiplicity 1…

A: P(x) has a root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of P(x).  P(x) has a root of…

Q: 18. Convert 5 radians into degrees. First find the exact answer (no decimals or rounding, please).…

A:

Q: lim (1+ X00

A:

Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: Assignment On Integral of Exponential & Logarit Determine the integral of the ff. functions. 1. S -…

A:

Q: The count in a bacteria culture was 600 after 20 minutes and 1500 after 35 minutes. Assuming the…

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

Q: -6(х— sin "x)(csCx «)(cs 3 CSC X |

A: Topic:- function and trigonometry

Q: A particle moves along a straight line with its position given by s(t) = -5t2 + 7t + 2. Find its…

A: In this question, we want to find the average velocity between t=1 and t=3.

Q: Find f/(x). If f(x) = tan-1x? .2 %3!

A:

Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

A:

Q: . A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

A:

Q: A city had a population of 2,238 at the begining of 1965 and has been growing at 9.6% per year since…

A: TOPIC- EXPONENTIAL FUNCTION

Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

A:

Q: Determine whether the SERIES converges or diverges. If it converges, find its SUM: n+2 n%3D2 A. It…

A: We have to find sum

Q: Convert to a rectangular coon 12. (3,*)

A:

Q: Cors ider the function. tx) - x-2 (a) Find the Imverse function of. (b) Graph f and on the same set…

A:

Q: y+4 =-V2x

A:

Q: (26) Let f(x) = x?e=*. For what value(s) of r does f(x) have a horizontal tangent?

A:

Q: (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by…

A:

Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

A:

Q: Solve sin (t) = - 8 cos (t) for all solutions 0 St< 2n t = Give your answers accurate to 2 decimal…

A: See this solution in below

Q: 5+ -6 -5 -3 -2 2 -2 -5t The curve above is the graph of a sinusoidal function. It goes through the…

A: Here, the required function is of the form: f(x)=Acos(B(x-D))+C

Q: Evaluate the following limit. 9. 5 +h lim h 0 Rewrite the given limit in a way that can be evaluated…

A:

Q: If e is an angle in standard position, csc(0)<0 and cot(0)<0, then the terminal side of 6 lies in…

A: Option (A)  4th Quadrant

Q: x2 — х +1 dxp х2 + 2х + 2 x2.

A: Topic:- application of integration

Q: he velocity function is v(t)=−t2+4t−3 for a particle moving along a line. Find the displacement and…

A:

Q: What is the exact value of csc(– 1305°)? V3 A B D 2.

A: using csc(-x)=-csc(x) and  csc(360n+x)=csc(x)

Q: 3. Determine whether the series E-1(-1)" * CoS ) is conditionally

A:

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: 2. Find the general solution of cos x dy + (y sin x – 1) dx = 0

A:

Q: to complete Problems Use >, , <, or = 8. 3 -5 -3 01

A:

Q: 6. A particular leaf is comprised of 80 thousand cells. As the leaf grows, the number of cells grows…

A:

Q: 4-2y -2 dx dzdy

A:

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A:

Q: Solution: Here * = Sin x The graph is Ine Shadded negion find i The required of we have to the area…

A: Let's find  area of given curves y=e^x from x=0 to x=1.

Q: Q5: Solve the following differential eauation using Laplace transform 2. y' = y1 + 3y2, y = 4y, –…

A: answer is in next step . please give a like.

Q: 7. Simplify tan n(cos" () ( cos-1

A:

Q: Find the first derivative of y = ( ex – e –x ) / (ex + e –x ) and y = ln [ x + √ (x2 + 1) ]…

A: y = ex-e-xex+e-x,Differentiate w.r.t.'x'Apply the Quotient…

Q: Find a parameterization for a line passing through the points (0, 0) and (2, 8) O x=t, y = 4t Ox=t,…

A:

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A: Let's find area between line and given curves.