Convert the polar coordinates (2, 60) to Cartesian coordinates. (1, √3) (√2, √2) (√3, 1)

Q: 5. Use differentials to app. .. the value of V(3.01)² + 2(0.99) – 3 in four decimal places. o 5.…

A: I am attaching image so that you understand each and every step. Let x= length of box y=width of box…

Q: Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x =…

A:

Q: dy Find dx T/4 | cos ()dt y% = CoS X, dy %3D dx

A:

Q: Use substitution to evaluate the integral. s1/5 sin(s/5 - 2)ds 1/5 6/5 sin(s - 2)ds = %3D

A:

Q: I. Evaluate 4x² + 4x + 5 dx

A:

Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

A:

Q: 11.) Find the area inside r -3cos(e) and outside r = 1+ cos(e)

A: As per guidelines we can solve only one question at a time so please repost other question.

Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

A:

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

A:

Q: 41. Suppose that both f and g have inverses and that h(x) = (f o g)(x) = f(g(x)). Show that h has an…

A: Explanation of the answer is as follows

Q: Evaluate the iterated integral: e dydx

A:

Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

Q: ,2 dx The result of IS F(b) – F(a), where Fla) and F(b) are both real numbers. What is the value of…

A:

Q: 16. Follow (and show proof) of each step below to estimate the area under the curve f(x) = 3 cos x…

A:

Q: Find the area: Y = cos x and y sin x on 0, 27

A:

Q: (x Using a suitable trigonometric substitution, the resulting integral in terms of V9x²+4 Consider e…

A: Given problem:-

Q: ta the téduction of order melhod, the substitution y= 5u can be used for the DE: - 3y/= 0, to obtain…

A:

Q: dy Find for the curve: x dx :4 cos t, y = 16 sin t, 0<t < 2T

A: We have to find dy/dx for the given function

Q: 2х dx cos?(2x) Evaluate 1. xtan (2x) + In|cos(2x)| + C 1 xtan (2x) + In|sec(2x)} + C xtan (2x) 1…

A:

Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: A detailed solution is given below.

Q: onsider the polar curves C1 :r = 1+ cos 0 and C2 : r = 2 cos 0, and let R b

A:

Q: If the radius of an expanding circle is increasing half as quickly as the area is increasing, the…

A: Topic = Algebra The circumference at that moment is 2.

Q: give the equivalent cartesian coordinates of ρ = π

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the general (real-valued) solution of the following differential equations. If an initial…

A:

Q: Q2: Determined the component of the vectors at each point…

A:

Q: V14 _13. Given the function f(x,y, z) = e3xyz sin 2xy where x = r² + t² , y = t² +r , z = r+t. Then…

A: Given f(x,y,z)=e3xyz sin2xyx=r2+t2y=t2+rz=r+t

Q: answer

A:

Q: x2 sin 2x dx Use integration by parts

A:

Q: 开3 Estimate the area under the graph of f(x)= 3x 3. between x= 0 and x =1 using each finite…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

A:

Q: QUESTION 17 2x³. Consider E* s2x²-x²+x+2 x4 + x³ D dx find A+B+ C+D- dx = x2 X +1 0 5 2. O O O O

A:

Q: lim - Va +1

A:

Q: Q5/Find the Laplace Transform 3-f(t) = sint cos t

A:

Q: 2.) Find the area between the curves y? = 2x and y 6-x

A:

Q: x arcsec x dx ? xdx A. x Arcsec x - 25- ... B. ** Arcsec x -- V-1 xdx xdx C. x Arcsec x + 25- xdx D.…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

A:

Q: y''+4y'+3y=sin(3t) with y(0)=1 and y'(0)=-1 determine with laplace transform

A:

Q: Consider the following piecewise function: 3x + 6A ЗАх — 7В if — 3 < x < 3 х — 12B if x < -3 9(x):…

A:

Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

A:

Q: 1) Hs] Solve the IVP: y" – 8y + 16y = 0, y(0) = -3 and y (0) = -1. %3D |

A: Use homogeneous differential equations to find solution.

Q: What will you factor out from the integrand of ] csc°(3x)dx so that you can transform it to its…

A:

Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

A:

Q: Consider the lines defined by the equations (3 : z – 3 = y – 5 = z – 6 and l4(s) = (-2 – 2s, –2s, 6…

A:

Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

A:

Q: A.) In each of the following, find the area bounded by the given curves; Solve for the points of…

A:

Q: What is the resulting integrable form after you applied substitution technique in tanx sec“x dx?

A:

Q: V4. 4-x? Si S dy dx using polar Evaluate 2x-x2 Coordinates.

A: Let's find.

Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

A:

Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

A:

Q: Find the area between y = 3 sin x and y = 7 cos x over the interval [0, 7]. Sketch the curves if…

A: