3. Given the polar curves r = 1- 2 sin e and r = -4 sin 0. Do the following: a. Sketch the curves on the same set of polar axes. (You may use the polar grid provided in the next page.) b. Find all points of intersection, where Oe[0,27).

Q: 7. For what values of A and B does the function y = differential equation y" +y' – 2y = sinx? (Hint:...

A:             Given  y=A sin x+B cos x            We have to differentiate twice                i.e., ...

Q: Evaluate the following limits: z² + 4x – 12 3. lim 1² – 2x 191 S y² +5 _ify-2 4. lim g (y) where, g(...

A: 3. limx→2x2+4x-12x2-2x4.  limy→-2g(y), where g(y)=y2+5if y<-23-3yif y≥-25.  limx→4z-2z-4

Q: Q3. A) Test the continuity of the function f(x): F(x) = 3- x 2 <x <3 3< X < 4 X = 4 X +1 2х -1 B) Fi...

A:

Q: y(t)=0.12t5−6.75t4+135t3−1120t2+3200t+9100yt=0.12t5-6.75t4+135t3-1120t2+3200t+9100 where y and t...

A: Given

Q: dy 3. 9-49y²

A: To find out the integration. 

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23...

A: topic - rational numbers

Q: 6. Find y`and y`for y=sin(x + y). 7. Find y` for sin x+ sin y = 1. 8. Find y` for x cos y = sin(x +y...

A: As per Bartleby guidelines, we are supposed to solve only first question when multiple questions are...

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: 2. Using the definition of derivative, prove the following: 1 (a) f^(x) = if f(x) = Vx 3/x (b) y=sec...

A:

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola...

A:

Q: /16z2 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? 7 sec(e) 1...

A:

Q: I. Obtain the differential equation of the family of curves described and sketch some members of the...

A: We need to find family of curves.   NOTE - As per Bartleby's guidelines we can solve only 3 subparts...

Q: Use Table of values to detemine the limit

A: To use the table of values to determine the following limit.limx→0 5-x-x2  

Q: Therefore, we have 3w?- 7w + 5 - 3w2 7w/2, sw 1/2 Now, since the function Is a sum of power function...

A:

Q: 84. A man is on a wharf 4 m above the water surface. He pulls in a rope to which is attached a coat ...

A: Given that: Height of wharf above water surface, h=4mRate of pulling=2m/sec

Q: (1) Plot the graph of y = r³ – 3r – 5 = 0, and find where the curve crosses the T-axis and the y-axi...

A: The given function is: y=x3-3x-5=0

Q: Jax dix x²

A: To evaluate the given integral.∫ln xx2 dx  

Q: x + ( 1+x)y = e-x sin2x dx

A:

Q: Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, a...

A:

Q: Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0.  19. F(x) = x3 +x2- 1

A:

Q: The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft 5 ft 8 ft ...

A:

Q: What is x sec xdx ? A. xtan x- In cos x+ C C. xtan x- In |secx+C | B. xsecx-secx tan x+C D. xsec x+ ...

A:

Q: A. Direction: Find the Laplace Transform of the following. 5. F(t) 1.5 sin (3t – n/2)

A:

Q: a. Graph the following system of equations. y = -3x y = x + 4 b. What does the graph show to be the ...

A: We have to Graph given system of equations after that we have to find its solutions.

Q: A. Evaluate the following integrals. S(x² – 2)² dx 1.

A:

Q: The cost to transport a mobile home depends on the distance, x, in miles that the home is moved. Let...

A:

Q: Graph the function and observe where it is discontinuous. Then use the formula to explain what you h...

A: Graph the function and observe where it is discontinuous. Then use the formula to explain what you h...

Q: 2 dse the Reimann Integral to evaluate S v'dv.

A:

Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

A:

Q: 2. Given r(t) = e' cos ti + e' sin tj+ e'k , find the tangential and normal components of accelerati...

A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of acceleration:Fo...

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A:

Q: of

A:

Q: A. Find all the first order partial derivatives of the given function. 1. f(x,y)= 2e*Y cos 4x + y co...

A:

Q: 3.) y tanʼxdx +ln* ydy = 0 dy_ (y?+4) Inx In (y?+4)Y 5) dx

A: y tan2x  dx + ln4y dy = 0∫-tan2x  dx =∫ ln4yy dy∫(1 - sec2x) dx  = ∫ t4 dt   (where, t = ln y)Hence,...

Q: There is an tnfinite discontinulty 10. There is a jump discontinulty at x 0 and f(0) = -2 at x = 1 a...

A: There is an Infinite discontinuity at x=0  and f(0) = -2

Q: Determine S5x? cos 2xdx

A: Given query is to evaluate the integral.

Q: 1 94. Prove that the derivative of f(x) = In x is f'(x) %3D by completing these steps.

A: The given function is f(x)=ln x

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: Find the Laplace transform of (e^2t)(cos3t)t

A: Given: (e2t)(cos3t)t

Q: Evaluate the following limits. a. lim?→3 √x^2 −5−2  b. lim?→64 3√x−4  / √x−8

A:

Q: mín z = 2x1+ 3x2 2x1 +X2 2 2 -X1 - X2 > -4 -X1+ 2x2 > 1 X1, X2 >0 sa (P)

A: Note :- As you write just define the auxiliary problem for given LPP Problem. So i am define only th...

Q: I. Write the equation of an ellipse from general to standard form. Write your final answer on the sp...

A:

Q: 24 The partial fraction decomposition of f(x) can be written in the form of g(x) where x2 -4 x- 2 x ...

A:

Q: y = ex between x= 1 and x= 4 The average rate of change of y between x= 1 and x = 4 is (Round to fou...

A:

Q: QI Evaluate 2 2 | 2y? sin(xy) dydx 0 x

A:

Q: Answ

A: In part 2, lower limit and upper limit of integral is same = 5

Q: Which of the following is the formula for finding the distance between two points on the coordinate ...

A: The formula for finding distance between two points (x1,y1) and (x2,y2) is, d=(x2-x1)2+(y2-y1)2 Opti...

Q: Straight lines tangent to the circle x? + y? = 4. %3D

A:

Q: Given that Y = 3wt- 7wt Jo

A:

Q: 6x3 +7x2 + 20x + 16 Consider the indefinite integral 24 + 4x2 Then the integrand has partial fractio...

A: