07/25/21
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.
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
07/23/21
Find an equation for the plane through the points (5,3,4),(−1,0,2),(0,2,−1).
Find the equation. The plane is: ______ ?
07/23/21
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
07/23/21
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.
07/23/21
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.
07/22/21
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
07/22/21
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
Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).
find a vector answer r(t)=?
07/22/21
Find a vector equation with parameter 𝑡 t for the line through the point (9,0,−3) ( 9 , 0 , − 3 ) and parallel to the vector 2𝐢−4𝐣+3𝐤.
find the vector. Answer: r(t)=?
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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