ctions of 0 by using the given information. cos 0= and sin 0<0 41 = (Type an integer or a fraction.)

Q: Find

A: We will solve find the anti derivative or integration. 

Q: Given the graph of the function below, what is lim f(x) x→1? a.-3 b.4 c.2 d.∞

A: we want to determine the value f(x)  as x goes to 1

Q: INTEGRATE THE FOLLOWING FUNCTION. secvtanvdv PROBLEM I: 4 secv +3

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first...

Q: S(x + 3)e*+6x dx

A:

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: NOTE: Refresh your page if you can't see any equations. . the sequence starts from n=1 so the nth t...

Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where; m...

Q: Solve for the particular solution yp of the given differential equation: y" + 3y' + 4y = 4x2 — 2х -

A: Given differential equation, y''+3y'+4y=4x2-2x⇒(D2+3D+4)y=4x2-2x          D≡ddx.............(i)

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 8. dx : (1 – ...

A:

Q: 2x+10 dr 1²(x – 4) Evaluate

A: Indefinite integral

Q: dy ay +b whose dt Write down a differential equation of the form all other solutions diverge from y ...

A:

Q: sin(Tæ) lim x → 12 In(x – 11) -

A: The given limit,          limx→12sinπxlnx-11

Q: Obtain the differential equation of the family of circle with center on the x-axis ? a. yy" +(y")²-1...

A:

Q: 2. In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number...

A:

Q: . Robertson owns a store. His mark-up percentage is 80%. He is also VAT registered, VAT is % of the ...

A: This is a problem of profit and loss. Based on the general formula we will calculate all the three s...

Q: Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30...

A: See the details solution in below

Q: х4 + х3 + x? — х+1 x(x² + 1)²

A: To find out the partial fraction decomposition of the function given.

Q: 24 Determine the values of the trigonometric functions of 0, where cos 0 = and tan 0 = 25 7 sin 0 = ...

A:

Q: Solve the given differential equation. All solutions should be found. dy = e + 15y da NOTE: Use c fo...

A: Given:- y'=e9x +15y  To find:- General solution for given differential equation

Q: x +4 x³ + 2x

A:

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule. 

Q: Determine the values of the trigonometric functions of 0, where sin 0 = and cos 0> 0. 13 cos 0 = (Ty...

A: Given query is to find the value of 6 trigonometric functions.

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

A:

Q: 1. Two particles travel along the space curves r, (t) = (t, t,t) and r2 (t) = (1+ 2t, 1+ 6t, 1+ 14t)...

A:

Q: 25 and sec 0= 24 25 Determine the values of the trigonometric functions of 0, where csc 0= 7 sin 0 =...

A:

Q: The integrating factor to (2y? + 3xy – 2y + 6x )dx+x(x + 2y – 1)dy = 0, to make it an exact differen...

A:

Q: If the area bounded by the curves y = x + 1, x = 1, x = 2 and y = 0 are revolved about the axis y = ...

A:

Q: y = c, e2* cos 3x+C, e²* sin 3x

A:

Q: Find

A: We will find the antiderivative or integration. 

Q: Problem 3. Use the method of Lagrange multipliers to find the indicated еxtremum. You may assuтe the...

A:

Q: c In Problems 53-74, summarize the pertinent information obtainea by applying the graphing strategy ...

A:

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent ...

A:

Q: In each part, find a formula for the general term of the the sequenc starting with n = 1. 1 1 1 1 1 ...

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

Q: 3. 3, |(a - 1), >-1 The graph of f(r) is shown below. Evaluate lim f(x). y a. The limit does not exi...

A:

Q: 3. The sum of two numbers is 18. Four less than half of one number is twice the other number. Find t...

A: 3) Consider two numbers are x and y. Given that , sum of two numbers is 18. Therefore, x+y=18       ...

Q: (d) Evaluate L(2.01) using your equation from part (c) (e) Evaluate f (2.01). Why is this value so s...

A: Given function f(x)=2x3-3x2

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: I am attaching image so that you understand each and every step.

Q: х — 1 x² + 8x + 15

A: The given rational expression,                x-1x2+8x+15

Q: Suppose that on January 1 you have a balance of $4700 on a credit card whose APR is 12%, which you w...

A:

Q: Question 3 3. Evaluate 2 dr. sin Upload Choose a File

A: Here we have to evaluate 3)  I=∫sin2xsinxdx

Q: Activity A. Evaluate the following limits: 1. lim 3* 2. lim 3* 3. lim 4* 4. lim 5* 5. lim (0.2)*

A:

Q: 5. g(x) = ( (e*+1\2 %3D x+1

A:

Q: Given the ellipse x^2/16+ y^2/4=1. What is the area of the largest rectangle that can be cut from th...

A:

Q: 11. The value of k so that (y +kxy –- 2x)dx + (3xy? + 20x°y³ )dy = 0is an exact equation is: C. -5 d...

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want ...

Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx -(i)

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

A:

Q: (x'y-xy²)(xdy+ ydx) +dy = 2xdx 3. %3D

A: Given differential equation (x3y-xy2)(xdy+ydx)+dy=2xdx

Q: SITY Activity 3: Determine the equations of both tangent and normal to the curve: 1. y = 3x? – x + 1...

A: Question: Determine the equation of both tangent and normal to the curve. 1.y =3x²-x+1=0 at x =1 2.y...

Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-24,7). Find ...

A:

Q: 12 ("In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: Let's find.