calc 2 parametrization for a curve

Find a parametrization for the curve described below.the line segment with endpoints (-2,-4) and (-7,1)

07/25/21

It looks difficult but is it ?

Let ƒ be continuous on [0,1] and let Ω be the triangular region in the xy- plane withvertices (0,0) , (1,0) , and (0,1).Show that ∫∫Ωƒ(x+y) dA = ∫ 01uƒ(u )d u

07/24/21

Using Wallis’ Formula

a) Evaluate the integral of 4sin6xcos4xdx using lower limit = 0 and upper limit =π/2.b) Find the value of the integral of cos83xdx using the limits 0 to π/6.

find the indefinite integral by using partial fractions

∫x^2+3x-7⁄(2x+3)(x+1)^2dx

07/23/21

question number two

Which function satisfies the equation below? (c is an arbitrary constant.)dB/dt= (-0.05)B B = c(-0.025)t2 B = c(-0.025)B2    B = c(-0.05)t B = ce(-0.05)t B = cet

07/23/21

Trigonometry (sine function)

Why is the inverse of sine of (0.5/√0.5). The calculator isn't computing. I'm not getting the angle.I thought sine = opposite/hypotenusex=0.5y= 0.5radius= √0.5

Find an equation for the plane through the points (5,3,4),(−1,0,2),(0,2,−1).

Find the equation. The plane is: ______ ?

Find the linear equation of the plane through the point (2,10,6) ( 2 , 10 , 6 ) and parallel to the plane 𝑥+5𝑦+3𝑧+4=0.

Find the linear equation of the plane through the point  and parallel to the plane 

find the indefinite integral

find the indefinite integral:∫dx/sinx+tanx

find the indefinite integral

find the indefinite integral:∫dx/sinx+tanx

find the indefinite integral

∫x2-3x-7/(2x+3)(x+1)dx

VOL CROSS-SECTION DISK WASHER

Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves 𝑦=1/x,y=0,x=1,x=3 about the x-axis.

VOL CROSS-SECTION DISK WASHER

Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves 𝑦=e^x, y=0,x= −1, and x=2 about the x-axis.

Can anyone walk me through this problem?

Apply integration to the expansion 1/1+x = ∑∞n=1 (-1)n xn = 1-x2 - x3 + ... to show that for -1< x< 1, ln (1+x) =∑∞n=1 ((-1)n-1 xn ) / n

07/22/21

Sneaky change of variables...

Evaluate the integral ∫∫Ω[ x2 −xy + y2 ] dA , where Ω is the region bounded by the ellipse x2 −xy +y2 = 2

07/22/21

Calculus 3 Triple integral

Find ∫∫R−x+2y/−4x+5y*dA, where R is the parallelogram enclosed by the lines −x+2y=0, −x+2y=9, −4x+5y=1, −4x+5y=4

THE SHELL METHOD

The region bounded by y=x^2-3x+2 and y=0 is rotated about the y-axis. Find the volume of the resulting solid by any method.

07/22/21

Calculus double integral

Find ∫∫Rx2dA where R={(x,y)∣16x^2+4y^2≤64}

07/22/21

Calculus Double integral

Find ∫∫R−x+2y−4x+5ydA, where R is the parallelogram enclosed by the lines −x+2y=0, −x+2y=9, −4x+5y=1, −4x+5y=4

07/22/21

Calculus 3 double integral

Find ∫∫R(2x+3y)dA where R is the parallelogram with vertices (0,0), (1,3), (-3,5), and (-2,8).Use the transformation x=u−3v, y=3u+5v

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