2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then Solve the Differential Equation. A Solutions: R = B Solutions: R, -9 and R, = 1 (C) Solutions: R, = -9 and R, = 2 Solutions: R, = - 3 and R, = -3 E Solutions: R, = -1.697 and R, = - 5.303

Q: use the tangent plane to estimate the value of √(4.8x5.02)

A: use the tangent plane to estimate the value of √(4.8x5.02)

Q: Given that "h(x) f(x) = r h(-1) = 5 h'(-1) 8 Calculate f'(– 1). Hint: Use the product rule and t

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below 

Q: Given that lim f(x)= -2 and lim g(x)= 6, find the following limit. X-3 X3 lim vg(x) – f(x) X-3

A:

Q: A bus travelling at 66 along a straight, level road decelerates at a constant rate of 22 sec when th...

A: From the first equation of motion       v=u+at   .....(1)  , where u is the initial velocity ,v is t...

Q: Find the lim and lim of cos(2x³). 0--x

A: The solution are next step

Q: Find derivative: (b) y= -3x" 4

A: We have to find the derivative of given function.

Q: - ydx + (x ++/y )dy = 0

A: We have to apply substitution to solve the problem After substitution we have to integrate

Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10 inter...

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line i...

Q: Find f'(x) for the function. f(x) = 8x3 - x + 1 f'(x) =

A: Given f(x) = 8x3-x+1 We know that d(xn)/dx = n•xn-1

Q: Find the open intervals on which the function f (x) = x + 6/4 - x is increasing or decreasing. If th...

A:

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below

Q: edxte*

A:

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: We will find the 8th term. 

Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: 7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below. 1 4 Consider a wi...

A: The solution are next step....and please like this solution..and any doubts then please ask me 

Q: Determine whether the integral is convergent or divergent. 1 dy 1 4y convergent divergent If it is c...

A:

Q: 8 cos3(x) dx

A: ∫8cos3xdx  let u=sinx  then 1-u2=1-sin2x=cos2x      ⇒du=cosxdx     Substitute in the integral       ...

Q: d83 da83

A:   As per guidelines We"ll answer the first question if multiple questions are given.     Given d83dx...

Q: 5*52"dx= 52r xp, dx A True B) False

A: topic - exponents

Q: Find the angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of...

Q: Let s(t) 6t 36t2 90t be the equation of motion for a particle. Find a function for the velocity. v(t...

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity, take th...

Q: Evaluate the definite integral (5et + 8x)dx using Part 1 of the Fundamental Theorem of Calculus. Ent...

A:

Q: d The power rule for finding derivatives is dx for all exponents n. 9 as 9Vn for some n. V In order ...

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg) ...

A:

Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side. Wr...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: SEQUENCES) given the nth term a↓n , find the first four term of each sequence

A: This question is from series where a nth term is given and we can find any term by putting value of ...

Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

A:

Q: The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in ...

A:

Q: For which value(s) of a and b is y = abx an increasing function? How do I solve this without using a...

A:

Q: The integral that represents the length of the curve 7(t) = (t, cos (2t312), sin (2t312)), where Ost...

A:

Q: given

A: We will solve the integration. 

Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: Find the antiderivative of the integrand 49 dx. (A) 49* + C In 7 49* + C In 2 B C) + C 2 In 7 72x + ...

A:

Q: 15. You are given the following two planes: x+4y – 3z– 12 = 0 x+6y-2z-22 =0 f) Find a third equation...

A:

Q: dy Find for Y da V1 – 23 dy da

A:

Q: ermine the solution to the initial value differential equation dy ( = 10 x7Y+5 y (0) = 10

A: Given query is to find the solution of the differential equation.

Q: x³ – 27 dx . x - 3 Find the antiderivative of A x3 – 3x2 + 9x + C x2 3x B) + 9 + C - - 3x2 9х + C 3x...

A:

Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: -3 -2 -1 1 2 3 Refer to the graph below to answer the following 5 questions. Record your answer to e...

A: We need to evaluate limit.

Q: d) Graphs of the revenue and cost functions are shown below. Answer the following questions. R(x), C...

A: topic- functions 

Q: The graphs of f '(x) and f ''(x) are attached below. Locate the x-values where f (x) has a point of ...

A:

Q: Find f'(x) for the function. x) = 7×(17%* 15 f(x) = 7x(17. x + 1 105x 595x + f'(x) = (x +1)2 *

A:

Q: 1.Determine the formula for the nth term of the following sequences: 2 а. 2 33 53 -1 1 -1 b. 1!' 3! ...

A: Given :a) 213, 0, 233, 0, 253,...b) 11!, -13!, 15!, -17!,...

Q: Number 24

A:

Q: If a function f(x) is not defined at x = a, then the limit of f(x) as x approaches a never exists. S...

A: Since you have asked multiple question, we will solve the first 3 question question for you as per o...

Q: Master It Find the area enclosed by the curve x = 2 - 3t, y = Vt and the y-axis. %3D

A: Given problem:- Find the area enclosed by the curve x = =t² - 3t, y = √t and the y-axis.

Q: Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) Find an equation for the tangent plane to the surf...

A:

Q: Derive the following formulas using the technique of integration by parts. Assume that n is a positi...

A:

Q: Find the value of k so that the value of (2x - 1) dx is 4. A 2 B) 5 c) 4 D) 3

A: