Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

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

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Q: Sinx /2

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Q: If L{f(t)} = F(s) then df -f(0) + sF(s) dt d² dt2 - f'(0) – sf(0) + s²F(s)

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Q: 22 - 12x dx x?(3x² – 10x – 8) partial fraction is to be employed. What is the most appropriate form…

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Q: x+V x+V X lim X- 00 V> V x+1 х+1

A: To evaluate: limx→∞x+x+xx+1

Q: (x – y)dx + xdy = 0.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: x e2x dv

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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: -S Integrate the fallswing funChinin ver the given re R: y24x-x and yex

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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Q: Svain2x dx =uv- fvdu - Svau. x/x In 2x- Vx dx v- Svau- Using Integration By Parts, Find uv- Jv du O…

A: Find your answer below

Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: Find the area of the region bounded by the x and y axes. The line x = 2. Show your complete solution…

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Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

Q: Find the particular solution of the differential equation with the initial condition given below.…

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Q: What is the volume of the region R = ((x. y, z) e R'1 sxs 3:2 sy S 4:3 sz5 5)? %3D Select one: O…

A: Volume of the region R is given by volume=∫13∫24∫35dzdydx

Q: Use power series to estimate arctan .2 correct within -10-. Leave your answer as a simple fraction…

A: The power series for arctanx is x-x33+x55-x77+..... For a estimate within 12·10-5, we'll have to…

Q: 4. S ( 12 x³ + 15 x - 20 ) dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. give the equivalent cartesian coordinates of ρ = π

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Q: 4) For each graph in Figure 16, determine whether f' (1) is larger or smaller than the slope of the…

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Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: Activity 2. Using U Integral of the following. 1. S sec?x dx 2. S Substitution or Integration by…

A: As per bartleby guidelines we only give first question answers.

Q: dy Solve for the general solution of the differential equation (ax+by+c)² where a, b, c e R dr and…

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Q: V4-x2 aluate dy dx using pol 2x-x2 prdinates.

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Q: Compute the derivative of each function. f (x) = e³x* += (cscx + sec x)² %3D %3D

A: Follow the procedure given below.

Q: 10) For y= vx+8, use the differentialE dy to approximate Ay when x changes from x =1 to x 0.97

A: This question can be solved using the concept of linear approximation.

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: 6. A bax with a square base is to have an open top. If the lateral surface of the bax is 100 cm",…

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Q: + Inx y(In2x – Iny)

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Q: Find a value of the constant k, if possible, that will make the function continuous everywhere.…

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Q: Consider the following function. f(x) = x3 - 3x2 – 9x + 5 Find the first and second derivatives.…

A: Since, you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

Q: 3. 2 1 What is the value of the integral 7xyz² dxdydz ? 0.

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Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

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Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

Q: A ball is being inflated such that the volume is increasing at a constant rate of 130cm3/s. How fast…

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Q: 2.S Ver eax dx Sve

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

A: As per the guidelines I am supposed to the first question among multiple questions. So I am solving…

Q: Evaluate | 4x2 + 4x + 5 dx

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Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: The graph of a function f is given. y -1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: Whale and Kanmuro are two islands located in the Chimera archipelago. These two are separated by a…

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

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

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Q: A clothing manufacturer has the marginal profit function MP(x) = 40 - 0.02x, Os xs 100 (in dollars…

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Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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