Evaluate the integral of the following: y4+2y²-1 dy;y #0 a. √y b. J(-4t + 12) (5t + 15)dt 4+e²z-ez dz ez C.

Q: Find √ √₂ (4x + y)dA (4x + y)d.A where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} =

A: Double integration

Q: If the substitution u = √x + 1 is made, the integral 3 A S u² u² - 1 du B du 3 2u²2 u² - 1 √ √x+1 dx…

A: We solve the given problem by using the substitution method.

Q: The quadratic y = -4x? + 5x – 1 is concave up. O True O False

A:

Q: 6. Complete the square to get an equivalent expression: 7-6x – x² No integration necessary on this…

A: 6 Given expression is 7−6x−x2. We have to complete the square to get the equivalent expression…

Q: xy² dA, R = [0, 2] × [- 3, 3] Find x2 + 1 R

A:

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

A:

Q: Obtain the largest value of x with which X 1 (y+3)dy-33 2

A: Please see the attached image for the solution. If there are queries, please do not hesitate to ask.…

Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-x R P PC=[? ] Q

A: C is the circumcenter of ∆PQR. PC=3x+7, RC=5x-15, & QC=51-x

Q: Find the change of variable x = Py that transforms the quadratic form x¹ Ax into y¹ Dy as shown. -…

A:

Q: So I've √x 2 xcosy y³ dy dx

A:

Q: Exatuate the integral QUS √3x xام واح

A:

Q: EVALUATE AND SHOW THE COMPLETE SOLUTION ON THE FOLLOWING: +2 dx | 4 + 4x +x 1)

A: ∫x2+24x5+4x3+xdxfactor the denominator:=∫x2+2x2x2+12dxpartial fraction decomposition of…

Q: If K is the midpoint of JL, JK = 9x – 1, and KL= 2x + 27, find JL (type an integer or decimal as…

A: K is the midpoint of JL and JK=9x-1, and KL=2x+27, we have to find JL.

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: Determine for which values of m the function (x) = xm is a solution to the given equation. d²y dy -…

A:

Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

A:

Q: a=, b= a) a-2b b) a + b c) à b d) The angle between a and b =) Find all vectors which are twice as…

A: We need to solve vector problem..

Q: Solve the following DE: x³ydx + (3x4-y³) dy = 0 O 15x5y 10 2y ¹2+ C ○ 4x6y 10 = 3y ¹2+ C 12 O 15x4y…

A:

Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

A:

Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

A:

Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: Solve the following DE: -y dx + (x+√xy) dy=0

A:

Q: Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. -…

A: